diff --git "a/data/dm_maths/full_data/1206_11255.jsonl" "b/data/dm_maths/full_data/1206_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1206_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 6, what is -425523 - -2?\nAnswer: -425521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 60. Suppose -5*w - 2*g + 16233 = a, w + g - 3245 = -g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-91)\/14 + 6)\/(382\/12). Let o = m + -179\/764. Is o equal to 0.082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(4*u + 0*u - 3*u) + 4*u - 3*u + u)*(-1 - 3 + 3)*(-13 - 33*u + 13).\nAnswer: 99*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -7. Let m = -9 - i. Which is the third biggest value? (a) m (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k**2. Let i(q) = -11*q + 6. Let w(j) be the first derivative of -63*j**2\/2 + 35*j - 73. Let m(b) = -35*i(b) + 6*w(b). Give m(v(y)).\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15905, 31416, 46927, 62438?\n\"Answer: 15511*n + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3749 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -63. Suppose -9*a + 6*a + 36 = 3*q, 0 = -u*a - 4. What is the remainder when 89 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -69\/6056?\nAnswer: -69\/6056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 945 - 939. Solve 0 = 3*a + 5*y - x, 5*y = -2*a - 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -557655 divided by -235\nAnswer: 2373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -353*c**4 + 674*c**4 - 29*c - 242*c**4 - 16*c wrt c.\nAnswer: 948*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -483, -1921, -4319, -7677, -11995?\n\"Answer: -480*n**2 + 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/2)\/((-16)\/(-32)). Let z = y + -9. Let g be ((-4)\/6)\/(z\/6). Solve 3*s = -g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 5*y**2 - 2. Let x(k) = -k + 11. Let f be x(6). Give d(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**4 + 12436*u**3 + 96164*u**2 - 21984*u.\nAnswer: u*(u + 8)*(u + 1374)*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**2\/2 - 7*n + 6. Let q be c(7). Solve -2*l + l = q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/7 - 23\/35. Let i be 23*3\/(1 - -2). Let u = i - 28. What is the third biggest value in 4\/5, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*b**2 + 281979*b + 10319272 wrt b.\nAnswer: 8*b + 281979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 320*u**2 - 18*u**2 + 0 + 48*u**2.\nAnswer: 350*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110110001101001 + -1101011011?\nAnswer: -111110111111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 58 - 67 = 2*h + 83 - 252, -3*h + 5*n = -72 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3. Let o(c) = -c**3 + 11*c**2 - 7*c - 14. Let q be o(10). Suppose 0 = l - 5*l - q. What is the biggest value in 1\/2, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/21)\/(24\/21). Let i(j) be the first derivative of 1 + 0*j**3 + j**2 + d*j**4 + 0*j. Find the second derivative of i(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 - 47. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 3*u + 3. Let a(v) be the second derivative of 5*v**4\/12 + 13*v**3\/6 + 13*v**2\/2 - 1001*v. What is 6*a(m) - 26*c(m)?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l**15\/(l\/l**10)*(l**3)**(2\/87) assuming l is positive.\nAnswer: l**(698\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 8*s - 9 - 9*s - 15*s**2 + 5*s**2. Let o be g(-10). Suppose -3*a - 13 = -o, 77 = 5*u + 2*a. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206 or -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 0, 3, 895 in ascending order.\nAnswer: 0, 3, 35, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(88) - -3*sqrt(88))\/sqrt(8) + 5.\nAnswer: 7 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/5 + 7148*q**3\/5 + 6386738*q**2\/5.\nAnswer: 2*q**2*(q + 1787)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -37, -119, -275, -529, -905, -1427, -2119?\nAnswer: -3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*o + 4*b - 14, -4*o - 2*b + 84 = 0. Let i = o - 44. Let y = i + 44. Calculate the remainder when y is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -447*f - 7150. Give s(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:35 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -59*o**3 + 10*o + 31*o**3 + 27*o**3 + 15*o**2 + 14. Let q be v(16). Calculate the common denominator of -1*q\/9*(-11)\/22 and 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 10. Suppose i + c*o + 5 = -2*o, 0 = -3*i - o - 1. Factor i - 2\/3*d**2 + 2\/3*d**4 + 1\/3*d - 1\/3*d**3.\nAnswer: d*(d - 1)*(d + 1)*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -523*y - 240*y + 136*y - 97*y - 52128 for y.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5059525, -5059523, -5059521, -5059519, -5059517?\nAnswer: -5059515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20577, -41150, -61723?\nAnswer: -82296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (320\/24 + -1)*3 + 5. Let k = 9 + -3. What is the highest common factor of o and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 8*b**2 + 0 - 3*b**2 in the form w + f*b + c*b**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6739331?\nAnswer: 6739331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1273 - 1196. Solve 20 = -u*g + 73*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p - 7. Calculate the remainder when s(10) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 76 - 36. Let m be h\/(-6)*21\/(-14). Solve -m*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17\/112 - 7\/16. Suppose 5*d + 5*l - 60 = 0, -44*d - 5*l = -49*d - 10. Which is the second smallest value? (a) w (b) -7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150939571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723719181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q - 4 + 4 - 861*q)*(2 - 1 - 2)*(-2 + 2 + 3).\nAnswer: 2553*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 3*h**2 + 2*h. Let s(y) = y**3 - 5*y**2 + 3*y + 8. Let b be s(4). Calculate the remainder when j(b) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 325 + -325.2. Let a be (2 + 39\/(-21))*4. Put z, 19, a in increasing order.\nAnswer: z, a, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227420808 to the nearest integer?\nAnswer: 15080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + (-4 - -26))*46\/(-18)?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 4*g + 222*g**2 + 3 + 4*g - 3*g - 186*g**2 in the form d + u*g + j*g**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 9 + 1. Let y be (15\/q)\/(-5)*216. Suppose -5*a + 0*a - 54 = -p, -3*p + 2*a = -y. Calculate the highest common divisor of 81 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 9*u. Let w(l) = 2*l**2 - 43*l. Let r(p) = -7*p**2 + 171*p. Let x(h) = 2*r(h) + 9*w(h). Let n(t) = -11*a(t) + 2*x(t). Factor n(g).\nAnswer: -3*g*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -12, 2, -47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u + 15. Let m(v) = v + 8. Let b be m(18). Let z(s) = -17*s + 60. Let r(o) = b*t(o) - 6*z(o). Is 5 a factor of r(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*k**3 - 132*k**3 - 116*k**3 - 1140*k - 3008*k wrt k?\nAnswer: -444*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006429 rounded to five dps?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/3 - 4*t\/3 = 0. Calculate t.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234129989 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + (-9)\/3)*(-6)\/(-36). Solve c = -3*x - 5*x + 48 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 + 1856*u**2 + 87 - 1833*u**2)*(-1 + 4 - 1).\nAnswer: 46*u**2 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.87 - 24.87. Put -1, p, -346 in ascending order.\nAnswer: -346, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3186050 is divided by 32182?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3826 - 7651\/2. Let a(o) be the first derivative of g*o**2 + 15*o + 15. What is the first derivative of a(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 7 - 1. Solve -5*a + 8 + 4 = -l, 5*l + f = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -5, 8, 5 in decreasing order.\nAnswer: 8, 5, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 9*g**2 - 105*g - 1395. Calculate a(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, -165, -373, -665, -1041, -1501, -2045?\n\"Answer: -42*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/785957 or 1?\nAnswer: 3\/785957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5802 - 5801.94. What is the third smallest value in i, 11, -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3032 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 44\/3. Factor -5\/3*q**4 - 2\/3*q + t*q**2 + 0 + 2\/3*q**3.\nAnswer: -q*(q - 1)*(q + 1)*(5*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6 - 574\/98) + ((-507)\/252)\/1 and 103\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*m - h + 138, -359 = 5*m - 4*h. Calculate the remainder when -1*(m - (3 - -1)) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 580.611 - -0.389. Let d = k + -553. Which is the smallest value? (a) d (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005?\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -202, 3.\nAnswer: -202, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.059 or 1923?\nAnswer: 1923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:19 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*(y\/((y*(y*y*y**(4\/15))\/y*y*y)\/y*y*y))\/y)*y*y*y))\/y**(-2\/11) assuming y is positive.\nAnswer: y**(-1169\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4658620957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1092?\nAnswer: -218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.77 take away -53.23?\nAnswer: 46.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*w**2 - 91518*w + 1864587.\nAnswer: -3*(w + 10189)*(3*w - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b = -2. Let k(y) = 6*y**2 - 1. Determine k(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 100.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3598 - 3599.7515. Let n = l + 0.0315. What is n rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5 = 15. Let m be (-17)\/(-5) - 8\/20. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l**5 - 4*l**3 + 0*l**5 + l**5 - 3*l**5 - 12*l**4.\nAnswer: -4*l**3*(l + 1)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -228 and -10895.5.\nAnswer: 2484174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (6 + 28) - -8) + (-6 - -7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*f*p**3*u**3 + 92633*f*p*u**3 - 188*f*p*u - 87*p**3*u**2 + 54*u**2 wrt u.\nAnswer: 258*f*p**3 + 555798*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 210?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -2.5. Suppose -v = 4*v + 5. Which is the closest to -1? (a) i (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/49280*-84)\/((-5)\/200 - 0).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 16\/(-6)*24\/(-32). Let y be 1 + -1 + (1 - 2). Is (-41)\/(-1) - (y - v) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540427 is divided by 90071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3add9 (base 16) to base 7.\nAnswer: 2022645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 383*n - 390*n. Solve 6*b = -n - 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x - 1. Let a = 13 - 13. Suppose -2*l - 2 = j + 2, -l + 1 = a. Let h be (-2)\/(-6) - 4\/j. Give c(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 2*q**2 - 18*q + 19*q + 2. Determine m(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -13 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35046 and 256905.\nAnswer: 30314790","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2894 + 965 + 213*s + 958 + 971.\nAnswer: 213*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 3*s**2 - 5*s + 6. Let c be m(2). Suppose 4*n = 4*i + 1364746 + 183262, 4*i + 8 = c. Round n to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/5 + 522\/10. Suppose -2*x + 22 = 3*u - 0*x, -w = -4*u + 3*x. Solve 5*k - u = -0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022220 - 0?\nAnswer: -10022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 8*v - 9. Let w be f(4). Let n = -1\/138 + -205\/276. Let s be (2*2\/8)\/1. Which is the nearest to s? (a) w (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -7 + 0 + (5 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -6)\/(2\/(-2)). Let j(m) = 0 - 459911*m - 12 + 459910*m + m**2. What is the remainder when 66 is divided by j(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12394324 divided by 33772?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 51*p - 2.\nAnswer: -51*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -51*f - 8. Let s(a) = 103*a + 18. Determine 3*s(t) + 7*x(t).\nAnswer: -48*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 5:17 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 47*h - 40*h. Let d(r) = 2 - 7*r - 4*r**3 + h*r**2 + 14*r - 4*r**3 + 0*r**3. What is the hundreds digit of d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87455513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1029 = -4*q - 4*x + 811, 3*q = -x + 1386. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9114 and 89523?\nAnswer: 5550426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*v - 99*v - 48*v - 99*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 815 + -688. Suppose -4*r - f - 62 = -3*y, 4*y = r + 239. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26210620 a multiple of 2160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 446744049 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 131208 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 12:36 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -57\/8. Let n(v) be the first derivative of 1\/6*v**3 - s*v**2 - 1 + 0*v - 1\/16*v**4. Factor n(a).\nAnswer: -a*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10 + 726\/(-40). Let p = g - -357\/20. Let m be (4 - 0) + (-1)\/(1\/5). Which is the closest to m? (a) -1 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473668?\nAnswer: 2, 7, 52631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/6 + (-48851)\/(-33)?\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 20*u**2 - 38*u - 51. Determine o(-17).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 20*b - 14. Let g(i) = i - 6. Let f(u) = 3. Let v be (-2 + (-9)\/6)*(3 + -5). Let y(t) = v*f(t) + 4*g(t). What is 3*x(p) - 14*y(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 11 = 4*u - 3*f, 0 = -u - f + 1. Sort 3, u, -4 in increasing order.\nAnswer: -4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 824 by -103.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3)*o*o**1*o*o*o**(-2\/5)\/(((o\/(o\/(o*o**1)))\/o*o*o*o)\/o*o*o) assuming o is positive.\nAnswer: o**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 196127*k**2*o**3 - 328*k*o**3 - 2*k*o**2 + 4*k*o - 2*k + 7*o**2 wrt k?\nAnswer: 392254*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s - 2*l + 5, -s = 4*l + 24. Let h be s\/(-1 - (-5)\/6). Solve 5*u - 4 = -h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {g: 8, n: 2, s: 1, c: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -243\/7 + 1222\/35. Which is the biggest value? (a) 2 (b) -3\/8 (c) z (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 3349*q - 54122. Give a(16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 90107*l**2 - 1 + 90113*l**2 - 15*l**3 - 2*l to d*l + y*l**2 + n + s*l**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r - 29861 - 5793835 = 2494965. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*s + 4*v, 3*s + 4*v + 5 = 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.9 + 0.1. Let i = -10 + l. Let c = -47\/21 - -18\/7. Is i less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iooioooooiooioiioo. What is prob of sequence io?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.99481282494 and -0.02?\nAnswer: 3.01481282494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.015+-146959410363\nAnswer: -146959410362.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 12*t**2 + 23*t - 35. Give j(-10).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 29.5 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 2*z + 112 - 108 + 10*z**2 to the form a*z**2 + h*z + l and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2738*p - 1 + 1 - 529*p + 693*p.\nAnswer: -2574*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 5*g - 10, 306*j - 307*j - 4*g - 8 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - j - 1. Let w(q) = 7*q**2 - 5*q - 2. Give -6*t(p) + w(p).\nAnswer: -5*p**2 + p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j. Let y(a) = 4279*a - 42. Let t(o) = 10671827*o - 104762. Let p(b) = -6*t(b) + 14966*y(b). What is h(p(l))?\nAnswer: 17104*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)\/u)\/(u*u*u*u**2*u)*u**5*(u\/(u\/u**(3\/7)))\/u*u**(-5)*u**(-1\/8)*(u**(-1\/2))**(-1\/7) assuming u is positive.\nAnswer: u**(-49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:04 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -8\/91, 0.1, 4, -3\/4?\nAnswer: -8\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6672? (a) -0.6 (b) 2 (c) 0.4 (d) -0.73 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c52 (base 14) in base 11?\nAnswer: 15286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428993, -1715471, -3859425, -6860861, -10719785, -15436203?\nAnswer: -21010121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2707 + 2707 + 4*u + 3*u**2.\nAnswer: 3*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378535923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -7, -1\/2 in descending order.\nAnswer: 21, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 135171.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a factor of 28431834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = -3*h + 14*g + 70, 2*h - 20 = -2*g. What is the greatest common divisor of h and 785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8430.4179s?\nAnswer: 2.34178275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*l + 6586*l - 932*l + 355860 = -5510*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -4. Is 16 a factor of 41 - 1*(-4 - r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.68 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2\/7, -29, -125?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 0*r - 3*r - r**2 - r**3 + 2. Let v be t(-2). Suppose -5*s + 19 = -6. Solve 4*p = -s*m - v - 18, 24 = -5*m - 2*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 4*f + 5*f + (44*f + 40*f - 30*f)*(1 + 3 - 3).\nAnswer: 55*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/27)*r*r**(1\/5) assuming r is positive.\nAnswer: r**(172\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 2*s - 101 + 47, -s + 369 = -x + 375 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 207438361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 209 and 897?\nAnswer: 187473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 20 = 4*b, b + y = 11 - 4. Suppose b*k - 3 = -4*a, -5*k + 2 + 3 = -3*a. Let z = -1976 + 1981. Solve r + a*r = -z*j + 28, 4*r = -5*j + 37 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5045, -11165, -17285?\n\"Answer: -6120*w + 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 15. Suppose d + 114 = -2*d. Let a = d + 44. What is the least common multiple of s and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 2435*j**3 + 128100*j**2.\nAnswer: 5*j**2*(j - 427)*(j - 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/39950 and -21\/7174.\nAnswer: 8429450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*p + 57, 5*p - 92 = 7*d - 9*d. Solve 14*n - 16 = p*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*u + 4 - 16, f + 3 = 4*u. Let j = 7 + f. Solve -14 - 11 = z - 5*l, z + 21 = j*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14705 - -45859. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -33 and 21492.481369.\nAnswer: 21459.481369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38930 and 1615.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 3*m - 5*f + 150, 0 = 3*m - 2*f + 346. What is the third smallest value in -2, m, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 9*x + 17. Let h(r) = -3*r**3 - 79*r**2 - 102*r - 45. Let m be h(-25). Give l(m).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*p + 342 = -175 + 145. Let a(x) = -126*x**2 + 1. Give a(p).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6 = 2*k - 2, 5*u + 3*k - 7 = 0. Suppose -6*l + 8 = -4*l. Suppose 3*x - l*m = m - 4, 2*m - 2 = x. Solve x*v - 10 + 2 = u*z, 0 = -3*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -12, -5, -2, 0 in decreasing order.\nAnswer: 5, 0, -2, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 53. Suppose -2*x + 60 = -s*x. Let w = x - -34. Solve f + 15 = -w*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 - k**3 - k**3 + (-4*k + 2*k + 4*k)*(3*k**2 - 5 + 5) - 4*k - k**3 + 4*k to w*k**3 + b*k**2 + r*k + y and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -67. Find the second derivative of 8*s**5 + 4*s + i*s + 12*s**5 + 12*s wrt s.\nAnswer: 400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -787618 - -75999.\nAnswer: -711619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t + 16*t - 23124 = 0. Solve 0 = -284*b + t*b - 16 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -163 (c) 1435 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -10c?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-16)*(-30 + -2). Suppose f = -x + 34, -2*f + u = x - 3*f. Let z(g) = -24*g + 1307. Let n be z(46). What is the greatest common divisor of x and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, 0.2, -1\/3, 5\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 141 (c) -1589 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 15) to base 9\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 437448*w + 15946729392.\nAnswer: 3*(w - 72908)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**4\/54 - g**3\/27 + 18*g. Determine n, given that r(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44353, -88209, -132065?\n\"Answer: -43856*f - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 4*r**3 + r - 4*r**3 + (0 + 2*r**2 + 0)*(r - r - r) - 2 + 2 - r**3.\nAnswer: -4*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02168 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1549, 21\/8, 0, -1\/3?\nAnswer: -1549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 2*r**3 + 106*r**2 + 5 - 112*r**2 + r - 8 - 4*r**3 to p*r + j*r**2 + m*r**3 + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) + sqrt(1573) + 4)**2 + 2 + (sqrt(637) - (-3*sqrt(637) + sqrt(637)))**2.\nAnswer: -96*sqrt(13) + 3847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(-15)*x)\/x))\/(x**(-8)\/x)*x**(-22\/7)*x**14)**4 assuming x is positive.\nAnswer: x**(1004\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2. Suppose -3*m - p = -0*p - 11, 5*m = 2*p. Let a(q) be the first derivative of 20 - 4 - q**m - 1. Give a(r(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -34. Suppose z + 9 = 2*p. What is the greatest common factor of p and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42495, 170089, 382747, 680469, 1063255, 1531105?\n\"Answer: 42532*f**2 - 2*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*u**4 + 2*u - 3 - 9*u**2 + 16*u**4 + 2*u**3 - 3*u**3 as y*u**4 + w + k*u + f*u**2 + r*u**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 10*l**3 - 3*l**2\/2 + 6*l - 30. What is the hundreds digit of s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4309 + -4312. Which is the nearest to -0.03? (a) -2\/5 (b) o (c) 1\/5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19*b - 1342. What is t(80)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-10) + (-66)\/(-4). Let d(j) = -j**2 + 15*j + 2. Let v be d(g). Solve -h = 3 + v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-18)\/20)*150\/360.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4689\/73 or 65?\nAnswer: 4689\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 830. Let d = f - 24. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12\/5)*u**(-4))**(-48)*(u**1\/u)\/(u\/(u*u**(3\/4)\/u))*u\/u**(1\/4)*u**(-6\/7) assuming u is positive.\nAnswer: u**(21479\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*b*c - 3*b*t**3 - 13*b - 4*c*t**3 + 90*c*t - 2 wrt b?\nAnswer: -8*c - 3*t**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -357.63 + 356. Let s = 54.41 - 55. Let f = s - j. What is f rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10073, -9993, -9909, -9821, -9729?\nAnswer: -9633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.1+42325097.4\nAnswer: 42325098.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 x when three letters picked without replacement from ogoxxfgfxfoxfgo.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {a: 4, f: 2, c: 1, x: 2, j: 2, r: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2115 + -6337\/3. Factor 4\/9 + 4*n**2 - m*n.\nAnswer: 4*(3*n - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -24 - 13 - 9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175502, -702030, -1579582, -2808158?\nAnswer: -4387758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:43 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gddggggggdd. Give prob of sequence ggdd.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8189024 is divided by 1364831?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, -0.4, -24\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*q**2 - 1\/7*q**3 - 1\/7*q**4 + 0*q = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**2*l - 4906*b**2*z**2 + 1650*b**2*z - b*l*z**2 + 9*b*l*z - 3*b*z**2 + 22*z**2 + 15 wrt z.\nAnswer: -9812*b**2 - 2*b*l - 6*b + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 5*y = 47, 522 = 4*p + y + 529 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s + 10*s + 3*s - 4*s - 7*s + 4*s + 25*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -49, -111, -197, -307?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -10 (b) 12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/444 and 145\/18.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2158 - 2157.9. Let q = 0.11 + 7.89. Let n = q - 12. Which is the biggest value? (a) p (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.3 (b) -0.79 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 1. Let g(y) = 4*y**2 + 11*y - 11. Let n = -2915 - -2959. Calculate n*k(s) - 4*g(s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142204 and 128?\nAnswer: 4550528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 9*i - 8. Find the second derivative of 49*v + 2*v**4 - 2*v**2 - 118*v - 11*v**i wrt v.\nAnswer: -108*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 905982164 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -16*t. Let z(d) be the second derivative of -21*d + 15*d**2 + 0*d**3 + 1\/24*d**4 + 0. Let k(a) be the first derivative of z(a). Give k(i(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 5*a**4\/6 + 11*a**3\/3 - 26*a**2. Let g(w) = 41*w + 43. Let v(m) = 5*f(m) - 3*g(m). Differentiate v(x) with respect to x.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1891551042 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -7, -1\/7, 31.7, -0.03, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 + 220. Suppose 0*z + 3*r + i = 4*z, -12 = -3*r. Let o = 1443 + -1439. What is the highest common factor of o and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:52 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/356423 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -9*u**4\/4 - u**3\/3 - 8*u**2 + 26. Find the second derivative of f(j) wrt j.\nAnswer: -54*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 775 by 5.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 - 1.2. Let k = 2 + -1.4. Let d = -0.9 + k. What is the nearest to -2\/3 in 1\/8, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1095 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7617 + -7616.8865. What is x rounded to three dps?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 > -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 12*y**4 + 4624*y**3 + 129340*y**2 + 42600*y = 0.\nAnswer: -355, -30, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*i**3*u*z**2 + 2*i**3*u*z + 2423*i**3*z - 64*i**2*z**2 - 236*i**2 + 6*i*u*z**2 - 2*z wrt i?\nAnswer: -222*u*z**2 + 12*u*z + 14538*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/((-27)\/(-72)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-2 - -5) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12657 + -12655. Solve -2*j + 3*j - 1 = -x*z, -j - 20 = -5*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 206, 205, 204, 203, 202?\n\"Answer: -k + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -686 + 723. Let k = -65 + 135. What is the remainder when k is divided by i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3641576.4 milliseconds in weeks?\nAnswer: 0.006021125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/2 - 63*f**3\/2 - 297*f**2\/2 - 405*f\/2.\nAnswer: -3*f*(f + 3)**2*(f + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(sqrt(468) + 1*sqrt(468))**2 + 2*(-1*-1*sqrt(1573) + sqrt(1573)).\nAnswer: -22464 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 4\/5219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 3*j + 7. Let n be -3*(39\/(-26) - (-2)\/12). Let i be r(n). Solve 0 = i*m - 5*o - 2, -5 = -m - o + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 20. Let d be l(-8). Let t be 2 + 1*(d\/1 + 3). Let y be (246\/(-9))\/((-6)\/t)*5. What is the greatest common divisor of y and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1142, -1135, -1114, -1073, -1006, -907?\n\"Answer: o**3 + o**2 - 3*o - 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 86. Let x = -45.1 - w. Which is the third smallest value? (a) -0.4 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 50 + 188 = -2*s, -5*z = -4*s + 208. Let q = -40 - z. Solve -q*a = 1 + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:10 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:49 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -335312*k + 93. Let l be g(-4). Let n(z) = -z + 781341. Let y be n(0). Let a = y - l. Round a to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020021001022 + 100?\nAnswer: 2020021001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -57f9 (base 16) to base 3\nAnswer: -1010220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 8:21 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-2 + 0 + (1 - (-6 - -13)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*x + 396 - 912 = 6*x - 7052 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:35 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**5\/w*w**(2\/3)*w)\/(w\/w**1*w*w*w**(-3\/7)))**32)**15 assuming w is positive.\nAnswer: w**(13760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14461 - 173?\nAnswer: -14634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1335540 and 115\/4407282.\nAnswer: 44072820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110110 + 11?\nAnswer: -110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.065 and -35249.\nAnswer: 2291.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -158 * -18\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/3*-4*5\/(-40)*2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2462507841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((234\/24)\/13*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*s - 24*s - 4*s**3)*((-4 - 2 + 4)*(2 + 0 - 3) + 9 - 1 + 0) - 2*s**3 - s**3 + 2*s**3.\nAnswer: -41*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + -3140.5875214.\nAnswer: -3194.5875214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 8*y = -12. Let r = 12 - y. Suppose r + 12 = 4*l. Calculate the lowest common multiple of 4 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/5 - -8\/5. Suppose o - 169 = 4*z - 5*z, o - 4*z = 174. Let f = -847\/5 + o. Which is the second smallest value? (a) m (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125 - (6 - -21) - 94.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 3*z - 15 = 3*v, 4*v - 16 = -2*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4591 = -10*f + 485. Is 2543\/6 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*i = -19, -3*i = 5*k + 2*i - 105. Suppose -o - 5*h = -62, -65*o + 63*o + 3*h + 189 = 0. Calculate the remainder when o is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226672 and 101680?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 21\/8, -2?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94058644 to the nearest integer?\nAnswer: 9698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5) + (12\/(-420) - 72\/126)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 23*x + 3. Let b be u(-23). Let q be 2\/(-5) - 2260\/(-25). Suppose q = -s + b*s. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*w - 3)*(-3 + 4 + 11)*(4*w**3 - 3*w**3 - 2*w**3)*(w + 2 - 2).\nAnswer: -24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 1 = -19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2*f*f\/(f**(-2\/15)\/f*f))**49)**(-2\/11) assuming f is positive.\nAnswer: f**(-6076\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 * -0.4\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2223 or -5608?\nAnswer: -2223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103 - 86 + 2*d + 62*d**2 + 187*d**2 wrt d?\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 0 + 1\/6*p**4 + 0*p - 1\/2*p**3 + 1\/60*p**5 + p**2. What is v(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 242*b**2 + 5*b**3 - 242*b**2 - 3 + (2*b - 3*b - 2*b)*(2*b + b**2 - 2*b).\nAnswer: 2*b**3 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/4 + 2\/8. Suppose i*c = c - 6. Let h = 4 + c. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -64, -154, -280?\n\"Answer: -18*h**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*f + 8, 4*n = -21*f + 23*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from virrrryvyvvviivyvy. What is prob of sequence yrvv?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 269 - 271, -4*l + 10 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -431 + 430.5. Sort 2, 0, -2, k.\nAnswer: -2, k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1236.52 and 7?\nAnswer: -8655.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1078 - 564. Suppose -3*i + a + 95 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -162?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5107560 divided by 5107560\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/11 and 35\/86.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -28 - 0. Let n(o) = 17*o**2 + 9*o - 6. Let f be n(g). Suppose -5*r + f = -5*t, -r + 5*t + 124 = -34. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 108*t - 6. What are the prime factors of g(2)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-9)*(0 + (-9)\/(-2)). Let p = 1 - 7. What is the tens digit of -50*s\/p*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -891b + -5?\nAnswer: -8924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 35)*8*5\/100. Let f(h) = -7*h - 9*h + h**2 + z*h. What is f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -46*k**3 - k**2 - 5*k. Let q(t) = -91*t**3 - 2*t**2 - 10*t - 1. Let s(m) = -5*p(m) + 2*q(m). Is s(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112279199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**3\/3 - 13. Let w(g) be the third derivative of 17*g**5\/60 + 5*g**2. Calculate w(l(u)).\nAnswer: 17*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7739513*v**4 + 5*v**2 - 9720*v + 4.\nAnswer: -185748312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32833405*z - 31349843 with respect to z.\nAnswer: 32833405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2240011 - -15?\nAnswer: 2240030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 4:37 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-24)*6*1 - -2. Sort 2, 1, z, -0.32.\nAnswer: -0.32, 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - -56. Let u = 12711.830805 + -12645.83080471. Let f = u - y. Round f to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 10 - 17. Suppose 5*w + 2 = s. Suppose 2*k + w*o - 10 = 26, -5*k + 4*o + 156 = 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4\/7 - 1742*s**3\/7 + 208260*s**2\/7 - 1008072*s\/7 + 1197072\/7 = 0.\nAnswer: -978, 2, 3, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -431 - -430.9. What is the nearest to q in 0.21, -3\/2, -4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 + 475748?\nAnswer: 475750.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16151.\nAnswer: 31, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3 - -2)\/(-23 + 25). Put -0.02, 3, i, 113 in descending order.\nAnswer: 113, 3, i, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + g + 4 = 0, -12*f + g + 2*g - 88 = -8*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 33\/9 - (-6)\/(-18). What is the closest to -0.5 in -2\/11, -0.1, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/5 - 4*x**3\/15 + 4*x**2\/5 - 2. Solve h(z) = 0 for z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/5 - 44724*y\/5 + 16683086\/5 = 0.\nAnswer: -22729, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 964208 by -4.\nAnswer: -241052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -485 and 0.2.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4*y + 52, 2*v + 3*v + 4*y - 70 = 0. Suppose -v*w - 113 = -23. Which is smaller: -13 or w?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 287 - 284 - 64*z + 2*z with respect to z.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.714357 and 24764.\nAnswer: 24775.714357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 3*m + 88. What is the highest common factor of 4 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5240 divided by -5?\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 23*r**2 + 83*r + 21. Let y(t) = t**3 + 11*t**2 - 42*t - 11. Let z(s) = 4*g(s) + 7*y(s). Let u be z(-17). Is u bigger than -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1142417, 1142417, 1142415, 1142411, 1142405, 1142397, 1142387?\n\"Answer: -j**2 + 3*j + 1142415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1189673\/18621 + -2\/18621. Let o = t + 64. What is the second biggest value in -0.2, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**3 - 19726*r**2 - 284931*r wrt r.\nAnswer: -30*r - 39452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(-2)*(-163)\/(-163)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -544*j**3 - 919*j**2 - 24. Let r(h) = -544*h**3 - 918*h**2 - 20. Let y(v) = 5*a(v) - 6*r(v). What is the third derivative of y(m) wrt m?\nAnswer: 3264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(1\/4)*q*q))**31\/((q*q\/(q\/q**(2\/29)))\/(q*q*q**(1\/3)*q*q*q)))**(-39) assuming q is positive.\nAnswer: q**(156013\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -12*h + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -7) + (4 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 1110*x + 1112*x - 14.\nAnswer: 2*x - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415865 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*c = 6, -3*c + 3 = -0*w - 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -1630134?\nAnswer: 1630132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8 and 12\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338 + t - 291 + 629.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.310051 in 33, -3, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -350 + 10852\/31. What is the biggest value in 3, 5, 6, z?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 11. Let j(y) = -y + 5. Let i(o) = -5*j(o) - 3*r(o). Suppose 4 = -n - 4*d + 10, -n = -d + 9. What are the prime factors of i(n)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-15*14\/(-140))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-11\/4)*q*q\/(q**(-3)*q*q))\/(q\/q**8*q*q**(-4)))**(-23) assuming q is positive.\nAnswer: q**(-943\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(-3*4\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4294*j. Let t(w) = 76*w**2 - 1. Calculate o(t(h)).\nAnswer: 326344*h**2 - 4294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -15140000 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92718 is divided by 518?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(252\/(-24))*4\/((-8)\/(-19))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -79 - (5814 - 5673)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 7*g**2 - 44*g + 3. Let k be s(11). Solve 0 = k*o + 1 - 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 44. Let s = 2.91 - 0.21. Which is greater: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 22 = 44. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 6, 1, -8, -21?\n\"Answer: -2*s**2 + 5*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -1, -41\/8358?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3\/4 - 22*j**2 + 131*j\/4 - 19\/2.\nAnswer: -(j - 1)*(j + 19)*(5*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 134*q + 555. Let z be l(-4). Solve -9*g + z = -8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -22, -25, -40, -73, -130, -217, -340?\n\"Answer: -p**3 + 3*p**2 + p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 101*h**2 - 100*h + 156. Let d be y(-100). What is the highest common divisor of 1482 and d?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 25184.\nAnswer: 25184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 10. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -8. Let a(r) = r + 1. Let s(q) = -2*q - 1. Let u(k) = a(k) + 2*s(k). Calculate u(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*v + 2*v - 44 = 0, 0 = -3*v - 12. What is the smallest common multiple of d and 3 - (-103)\/(-3 - -4)?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57583?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Let p = 8 - z. Is p less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 11:42 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8683958 is divided by 610.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1903033858.\nAnswer: 2, 11, 86501539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33650 and 8250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85227359551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-14)\/(-35) - 2178\/(-30) and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -222 + 158. Let i = w + 64. Suppose b + 5*c = -10 - i, -b + c = -8. Solve m = b*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 6 - 4*j**3 + 14 - 28.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -4*u + 21, 5*r = -17*u + 13*u + 39 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-6)*46\/1380*-90\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/410376 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b + 5280 = -33*b. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -0.22.\nAnswer: 0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-134)\/(-26) + 2\/(-13). Suppose c = 2*s, -c - 16 = y*s - 2. Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:36 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1024 + 1029. Sort 15, -2, j in increasing order.\nAnswer: -2, j, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5, 11.683, 1, 6, -1\/2, 2.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/((-20)\/586) + (-3)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/286382 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4188, -4278, -4366, -4452, -4536, -4618?\n\"Answer: y**2 - 93*y - 4096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - z**2 + 13 - 4*z**2 - 3*z**2.\nAnswer: -2*z**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w + 20, 3*h - 123 = 3*w. Suppose -h + 55 = 5*s. Let c be s\/(-3) - 66\/(-18). Put -5, 8, c in increasing order.\nAnswer: -5, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 1\/2*o**4 + 0*o**3 + 2*o + 1 + 0*o**2. Find the first derivative of v(p) wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-1\/2))\/l*l)\/l**(3\/4)*(l*l**(-1\/3))\/(l**6*l))**(-5\/9) assuming l is positive.\nAnswer: l**(335\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(468)*-3 + 3 + 5 + -1 + 1*sqrt(468))*-3 + 1)**2.\nAnswer: 2880*sqrt(13) + 67792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**3. Let b be y(1). Suppose b + 7 = 4*g. Find the second derivative of -5*s - 3*s**3 + 4*s**3 + 3*s**3 - 3*s**g wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18242900 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*t - 87 - 4. Which is bigger: t or 5\/346?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - 28\/(-5))*305. Is g > -427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 8. Let z be i(-2). Suppose 2*f + 2*f - z = 0. Is f less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34389931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*h - 14, -3*n + 3*h + h = -34. Let w(s) = -6*s + n*s**2 - 7*s**2 + 11 - 10. Suppose 0 = 9*t + 35 + 19. Give w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by -154376.\nAnswer: -33\/77188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.95 + 53. Put -0.2, 2\/3, 1\/4, p in ascending order.\nAnswer: -0.2, p, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + j + 4. Let s(t) = -t**2 + 4*t + 8. Let m be s(5). Let d be i(m). Sort -5, -10, d in descending order.\nAnswer: d, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) + 0 - sqrt(567)) + -1 - (-2 + 2*sqrt(567) + sqrt(567)))*3 + ((sqrt(567) - (0 + -2*sqrt(567))) + 0 + sqrt(567) + sqrt(567) + -3)*2)**2.\nAnswer: -54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (-2 - 0) + 0. Suppose 4*p + 4*s - x = -0, 0 = 5*p - 3*s + 3. Suppose p = -k + 3*k. Solve 6 + k = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 689 and 4293?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 9\/5, 2.452, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4496 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d - 10. Calculate u(-11).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -192087, -191682, -191277, -190872, -190467?\n\"Answer: 405*u - 192492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 5*b + 0*b + 5*b**2. Let h(q) = -3*q**2 + 2*q. Let z(g) = -5*h(g) - 2*j(g). Let w(k) = -30*k. Determine z(w(y)).\nAnswer: 900*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -27*z**6\/2 - 6*z**3 - 13*z - 408. Find the third derivative of l(w) wrt w.\nAnswer: -4860*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -55822 - 9469?\nAnswer: -64190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - r**4 - 5*r**4 + (-6*r**3 - 5*r**2 + 5*r**2)*(-5*r + 4*r + 2*r).\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-21 - 0) + 19 + 17 - (37 + 1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 35942928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 625031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 110 and -67.\nAnswer: -7370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - l**2 + 1)*(4 - 2*l**3 - 2 - 2*l**3) + 6*l**5 + 25*l - 25*l.\nAnswer: 10*l**5 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 91 = -39. What is the greatest common factor of o and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134.269 or -2\/13?\nAnswer: 134.269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + c. Let q be u(0). Suppose -2*k + 0*k + 2 = q, -4*d = 3*k - 47. Let z = -11 + d. Solve y - 5 = -z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759680946 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s = k + 36*s - 35, 5*k + 2*s + 14 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/391 = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*u + 160, 3*z = 3*u - 5*u + 105. Let x = u - 30. Suppose o = 4*o - x. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzzzr. Give prob of sequence zr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -3, 0.1025, -2\/3, 2\/5, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38828, 155071, 348812, 620051, 968788, 1395023?\n\"Answer: 38749*c**2 - 4*c + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 + 3*a - 33)*(-27358 + 0*a + 27450 - 2*a) to k*a + c + v*a**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.07299703?\nAnswer: 0.07299703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*l - 118 = -0*h, -5*h + 3*l + 120 = 0. Suppose 0*g = 4*g + 2*o - 42, o = 2*g - h. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**4\/4 - d**3 + d**2 - 5*d + 395. Give w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1935 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.521998722 - 1.522. Round b to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 + -110. Solve 2*g + 2 = g, 4*g = w*n - 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (74\/(-148))\/((-1)\/(-56998)*-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/((-224)\/84). What is the nearest to -4 in 2\/13, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41167\/40 - -1027. Find the common denominator of j and 45\/14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 0*z**3 - 3*z**3)*(1436*z - 1436*z - 13*z**2 - 26*z**2).\nAnswer: 39*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**3 - 23506403*u**2 - 183554635 wrt u?\nAnswer: -6*u**2 - 47012806*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o - 1. Let v(h) = h**2 + 5*h + 6. Let q be v(-4). What is the units digit of i(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 28 = 9*p - 77, 345*z = 341*z + 4*p - 60 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 21. Let d = -84 - -90.3. Let g = 6 - d. Which is the third smallest value? (a) g (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**16)\/(a*a*a*a\/(a\/(a\/a**(-15\/7)))*a*a))\/(a*a**(1\/7)*a)**(-20) assuming a is positive.\nAnswer: a**(138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from {e: 10, l: 2, s: 1, k: 1, d: 3, u: 1}.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from kskkkkookkookso?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from zzzzoozocozc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/285 - -188\/285. Let g = -6 - -4. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:51 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14396 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3929\/7 + 561. Let t(m) = -m**2 - 3*m + 4. Let w be t(-3). Suppose 5*n - n = w. Which is greater: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 84 = 4*n, 441*n - 443*n - h = 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 99 - 68 = 61 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 0*n**3 - 10*n**3 + 0*n + 9*n**2. Let a(q) = q**3 + q**2 + q. Let s(v) = -3*a(v) - o(v). Factor s(c).\nAnswer: c*(c - 2)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 4:20 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4476342414 to the power of 1\/2, to the nearest integer?\nAnswer: 66905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-30))\/c)\/c)\/c**(-4\/7) assuming c is positive.\nAnswer: c**(-213\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3290 = -410*v - 248*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-348)\/(-609) + 9680\/14. Let t = 714 - b. Solve 5*y - 5 - 2 = g, 5*y = -4*g + t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(-5) + 7104\/(-5920)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2, 17, -4, 36?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.25 > 787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-3))\/(((-50)\/30 - -9) + -7). Which is the biggest value? (a) 49\/5 (b) l (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 6*g**2 - 16*g + 2. Let s be x(-8). Let t = -6 - -9. Suppose 0 = 2*y - t*y + 8. Solve -4*c - y = -s*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 1, z: 2}. What is prob of sequence ws?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*r**3 + 95*r**3 - 302*r**3.\nAnswer: -455*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/637 - -52877\/1274. Calculate the common denominator of x and -14\/17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41.5 and 54.\nAnswer: -2241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 19*o - 12. Let q be 98997 + -4*o\/(-16). What is q rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 953 + -952.59. Which is bigger: -0.04 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6298 - 6290. Solve -7*q = a - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 + 4*h + 4. Let a(w) = -w**2 - 7*w - 9. Let y be a(-5). Let p(d) = d + 1. Let t(n) = y*l(n) - 4*p(n). Let v(u) = u. Give v(t(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 145*m**2 + 4*m. Let d be a(-2). Let t(n) = -3*n + 6. Calculate the remainder when d\/19 - (6\/57 - 0) is divided by t(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*i - 30 = 0, -5*z + 3*i + 27 = 7*i. Suppose 3*w = -l + 12, -z*l - 16 = l - 4*w. Suppose l = -2*a + a + 10. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-2))\/(3 + -5). Let a(q) = 7*q - 3*q + 1 + j*q. List the prime factors of a(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6)*-4*((-145)\/35 - -4). What is the closest to l in 8\/3, -6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 99*z**5\/10 - 6*z**2 - 34*z. Let t(x) = 2*x**2. Give t(v(q)).\nAnswer: 705672*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3226*w + 3296*w - 140 = 0. Solve 4 = 4*f + w*n, 3*n - 9 = 2*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1667 - -1675. Solve 5*y - 3*y - 5*o = 9, -3*y + 2*o = -b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145258.\nAnswer: 2, 59, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.782946 centuries to millennia.\nAnswer: 0.3782946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(-4)\/(-648))\/(12*11\/66).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 434146098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -52?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*o**2 - 80*o**2 - 57*o**2)*(0 - 3 + 11).\nAnswer: -1360*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t - 35 = 19*t, o - 29 = -4*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1219 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or 2438470?\nAnswer: 2438470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 70948?\nAnswer: -14189.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 556 divided by -24\nAnswer: -139\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*p**3 - 6*p**3 + 37151 + 14*p**4 - 36761 wrt p?\nAnswer: 56*p**3 - 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*t + 29*t = -43*t + 2184 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 7*n - 3. Let m be k(-6). Solve 5 = -2*r + m*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n + 5*p = -55, 0 = -p + 5. Suppose -4*i + n = -2*i. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34025, 34019, 34013, 34007, 34001, 33995?\n\"Answer: -6*i + 34031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:14 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7.06. Let o = q + -0.94. Which is greater: -0.01 or o?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**3 + 5*f**2 + 13*f - 6. Let w be r(6). Suppose -g = 8*g - w. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -4. Let n = b + 6. Suppose n = 3*x - 13. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 24, 4, -0.2, 4\/3, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 36. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4. Let i(y) = -5. Let d(f) = 5*i(f) - 6*w(f). Suppose 5 = 5*h - 5*r, -h + 2*h + 3 = 5*r. Let z(a) = -a - 7. What is h*z(b) - 14*d(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 2*l**2 - 3*l - 2. Let v be z(3). Is 18 + v + 1 + 1 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.254646 rounded to two decimal places?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471, 894, 1377, 1950, 2643, 3486, 4509, 5742?\nAnswer: 7215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 50 + 20. What is the tens digit of (-4)\/r - 583\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019616097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*d + 159 = -60 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l**2. Let x(i) = 28*i. What is n(x(v))?\nAnswer: -10192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21920 and 0.4.\nAnswer: 8768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 3*d + 5. Suppose -4*j + 3*j = 0. Suppose j = c - 1 - 4. Suppose 4*i - c*i + 4 = 0. Determine g(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:53 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85856 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12880247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*w + 280 = 0, -3*w - 12 = -0*w. Does 49 divide ((-7475)\/y)\/(1\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 720030 to the nearest 10000.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20021 + -1220202323?\nAnswer: -1220122302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4230 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41988321?\nAnswer: 3, 1555123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 2, c: 1, x: 2, p: 1}. What is prob of sequence lcx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1652865980.0000133 - -1652865736. Let s = b - -244. Round s to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1356*o**6 - o**4 + o**2 + 2*o + 8787 wrt o.\nAnswer: -162720*o**3 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 12) to base 6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjjilhiwgjlgj. Give prob of picking 1 w and 1 j.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(16\/5))\/f*f\/(f*f\/(f*f**(8\/13))*f))\/(f\/((f*f\/(f\/(f*(((f**(8\/3)\/f)\/f)\/f)\/f*f)))\/f*f)*f)**33 assuming f is positive.\nAnswer: f**(-883\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + 6. Suppose 4*t + 4*g = -t + i, t + 3*g - 5 = 0. Calculate the least common multiple of t and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 244?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 6, p: 2, q: 2, v: 1}. Give prob of picking 1 p and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 13*f**2 + 26*f + 12. Let y be l(-15). Calculate the greatest common divisor of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/15 - 298*r**2\/15 + 2972*r\/5 + 7056.\nAnswer: 2*(r - 98)*(r - 60)*(r + 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14752 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: List the prime factors of 2634242.\nAnswer: 2, 13, 71, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 43 - (2 - 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 2*g**2 + g + 3. Let x be (2 - -1)\/(-3)*-15. Suppose 4*w + x = -w. What is the units digit of v(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - (-420)\/(-16))\/(-8 - (-252)\/32) is divided by 66.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10480.44 - 54\nAnswer: -10534.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 248*z + 1. Let x(t) = t. What is x(a(k))?\nAnswer: 248*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9829823 is divided by 955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 7245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -333 divided by -1\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 158920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0*a. Suppose -3*r = 2*n - 4 - 0, -5*n - 5 = 0. Let q(t) = -21 + 7*t**2 + 7 - 4*t**2 - 2*t**r. Give q(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 15*r**3 - 6*r**2 - 6*r - 28. Let g(b) = -b**3 - b**2 - b - 1. Let d(l) = 6*g(l) - i(l). Differentiate d(x) with respect to x.\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30193154 - 937*s - 30193154.\nAnswer: -937*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 225 - -4?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c + 2*c + 6*c + 1. What are the prime factors of i(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*s - 898*s = 1767 + 39034 + 18159 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15359 is divided by 806?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 659407.4 kilograms in grams?\nAnswer: 659407400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -214 + 315. Let b(k) = -2*k - 7. Let x be b(-6). Let j be s - (2 - (x + -1)). What is j rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29956*d**5 - d**2 + 8425*d - 2 wrt d?\nAnswer: -599120*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 3599, -6 in increasing order.\nAnswer: -6, -0.05, 3599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.177844t in grams?\nAnswer: 177844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + v = 3, -s + 5*v = 19. Let n(u) = 2*u**2 + 6*u + 2. Let b(r) = r**2 + r - 1. Let o(c) = s*n(c) + 2*b(c). Determine x, given that o(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**2*u**2 + 16*r**2 - 20031*r*u**2 - u**2 - 1360666*u wrt r?\nAnswer: -2*r*u**2 + 32*r - 20031*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((3 - -1)\/8). Suppose 44 = 4*j - y, 3*j + 2*j = -f*y + 34. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(5 + 1 - 5)*(142 + 64*g**4 - 142)*(g - g + 2*g).\nAnswer: -256*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/((336\/(-80))\/(-21))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 t when four letters picked without replacement from {t: 3, b: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7277 - 7275. Solve c = -p - 8, 12 = c - 5*p + y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35841 + -4977?\nAnswer: -3a5b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4\/267 (b) -22 (c) 1466\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375)*1 + sqrt(55))\/(-1*sqrt(245)).\nAnswer: -6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - 2985 + 2*o**3 + 17*o + 2987 to p*o**3 + g*o**2 + a + v*o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -4 - (26 - 77 - -36)) + 21 + -14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 161385 from -90.\nAnswer: -161475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11402500 to the power of 1\/2, to the nearest integer?\nAnswer: 3377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/925 or 2?\nAnswer: 2\/925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25134.35 kilometers?\nAnswer: 25134350000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5 - y**3 + 5*y - 4*y - 4 - 6*y - 6*y**2. Let d be h(-5). Let c = 923 - 14765\/16. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, -3 in decreasing order.\nAnswer: -2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*w + 122, c = -7 + 5. Suppose 2*m + w = 6*m. Suppose 0 = -z - 3*p + p + m, 4 = z - 2*p. Solve -y = 2*k + 8, z*k + 17 = -4*y + 3*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:15 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 4:50 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 10*g - 3 + 5)*(4*g - 3*g - 4*g) in the form u*g + m + r*g**2 and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -f - 15, 3730*j = 4*f + 3732*j + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2025 - -1080. List the prime factors of d.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.113244 millilitres in litres?\nAnswer: 0.009113244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*s + 1 = 0, 0*s + 22 = 4*j - 5*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341 - 346 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*l - 4152*l + 47*l.\nAnswer: -4037*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**2\/2 + 3*l + 17. Calculate i(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 divided by -3?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a - 3*a + 17. Find the common denominator of 266\/30 - a - 36\/12 and 23\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195\/8 + 601\/24. Put 2\/15, 2, d, 3 in descending order.\nAnswer: 3, 2, d, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -2079*l**4\/4 - 2815*l + 2427. Find the first derivative of y(h) wrt h.\nAnswer: -6237*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9415 - 9410. Put o, 2, -20, -11 in ascending order.\nAnswer: -20, -11, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/(-44) - 24825\/(-20) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dta when three letters picked without replacement from djtarrdl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6451 = -5*s - 3*y, 2*s - 3756 = -2*y - 1178. Calculate the greatest common divisor of 204 and s.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*g - 44, -35 = 4*w + 2*g + 3. Let a(c) = -c - 8. Let h be a(w). Suppose h = -0*d + 3*d - 138. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 73, 1\/5, -4\/639?\nAnswer: -4\/639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12439, -12436, -12433?\n\"Answer: 3*t - 12442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -2\/21, 4 in descending order.\nAnswer: 4, 3, 0.2, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 476.446 - 476. Put 2, z, 2\/5 in increasing order.\nAnswer: 2\/5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 13 = -6*x - 3*r, 776*r - 781*r - 27 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49403*-9.9.\nAnswer: 489089.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let g be 2\/(-1 - -3) + 2. Let n be (-4)\/6 + 17\/g. What is m(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 3, e: 8, g: 1, x: 4}. Give prob of sequence rxtx.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -672*i**3 - 3*i**2 - 12*i - 11. Suppose 25 = -36*r - 11. What is the tens digit of h(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000219313 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (3 + 1)) + 0 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one eighths of a week?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**2 - i**2)*(-3*i - 2*i + 2*i) + 1 + 4*i**3 - 1 + (0*i**2 + 3*i**2 - i**2)*(-3*i - 2*i + 4*i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 85*a**2 - 295*a + 385.\nAnswer: -5*(a - 1)*(a + 7)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**4\/12 + m. Suppose 6*l = 5*l + 3. Let x(v) = 6*v**2 - l*v**3 + 3*v**3 - v**3. Determine -6*c(y) - x(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**7\/2940 - b**6\/1260 - b**5\/210 - b**3\/3 + 1. Let z(q) be the third derivative of u(q). Find x, given that z(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -7 + 0 + 3 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291066*m = -291007*m + 1711 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -35?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204483515 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1103\/24204 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102000817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-2)\/((sqrt(96)\/sqrt(2))\/sqrt(4)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -6\/5, 27, 2\/9, -92, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72900622?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 - 7*p**4 + (0*p + p + p)*(p**3 + 2*p**2 - 2*p**2).\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262419 is divided by 131132.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10064482 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 247, 538, 945?\nAnswer: 1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -1\/20*h**5 + 0 + 3*h**2 + 7\/12*h**4 + 9*h - h**3. What is j(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-4 - 264\/(-42))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f - 18 = -25*f. Put -2, f, 1, -4 in increasing order.\nAnswer: -4, f, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 37197556.\nAnswer: 37197555.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*x + 186*x = 1050 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 98*p + 743 - 3*p**2 - 50*p - 48*p to u*p + b + j*p**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/13 and 69\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 3\/2, 0.3, -26, 0.4, -2, 68?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*s + 82 = 0, -2*k - s + 16 = 2*s. Let x = k + -4. Solve 0 = -7*n + 2*n + r + x, 3*n = 3*r + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 81418, 81385, 81330, 81253?\n\"Answer: -11*d**2 + 81429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 32 = 2*s, -3*b + s + 5 + 20 = 0. Suppose b*n + 47 = 137. Solve -4*d - 19 - 1 = 2*x, 0 = 5*x + n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + 1 - 1 + (-4 + 0 + 3)*(0*d**5 - 4*d**5 + d**5) + 1 - 3*d**5 - 1.\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 + 3*y**5 - 4*y**4)*((5 - 2 - 4)*(1 + 5 - 5) - 28 - 11 + 14 + 4 + 0 - 1) + (-2*y**2 - y**2 + y**2)*(0 + 0 - y**3).\nAnswer: -67*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 704 and 1008.\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a - 1 + 0*a)*(150*a + 53*a - 16*a).\nAnswer: 187*a**2 - 187*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -20. Put -0.24, m, -5 in ascending order.\nAnswer: -5, -0.24, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let o = 4 + -13\/3. Which is the closest to o? (a) 4 (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/66 + (-392)\/(-22). Suppose -2*m + 8 = 2*h, 5*h + 3*m - 2 = u. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440128 take away -0.4?\nAnswer: -1440127.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u - 4. Let f = 38 - 41. Give b(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 0.478548.\nAnswer: 0.0239274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3192*i**3 + 192*i**2 - 190*i. Is l(1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 298*o - 96859. Give v(324).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g + 11. Let o = -1 + 1. Suppose o = d + 12 - 34. Calculate the remainder when d is divided by q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 6*c**2 + 0*c**2 + 8*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 5, j: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*b + 34*b + 37*b + 29*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5)*g**(-3\/2)*(g**(-2))**(7\/6))\/((g*g**(2\/13)*g)\/(g\/g**(2\/7))*(g\/((g**(-2\/7)\/g)\/g))\/(g**(2\/11)\/g)) assuming g is positive.\nAnswer: g**(-80341\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23210 and 2110?\nAnswer: 23210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*a + 2419*a + 158601 = 42551 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*(-3 + 42\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/156 and 9\/208.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l - 19. Let f(n) = n + 1. Calculate 3*f(z) - s(z).\nAnswer: -z + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 343 + n**2 + 82.\nAnswer: -n**2 - 261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 508*q + 5877. Give g(-11).\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v + 20. Suppose 37 = y + v. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/6 - -6. Let s(v) be the second derivative of t*v**3 + 0 - 20*v + 1\/2*v**2. Differentiate s(d) with respect to d.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/(-35))\/(1\/(-5)). Let i = -4 - -9. Suppose a - 8 = u + 1, i*a - 21 = -u. Sort b, u, 3 in descending order.\nAnswer: 3, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 11756*z**2\/5 - 17275442*z\/5.\nAnswer: -2*z*(z - 2939)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f + 5*f - 5*f - 2*f**4 - 7*f**4. Let t(y) = y**4. Let b(m) = -j(m) - 6*t(m). Find the second derivative of b(u) wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -32*m + 74. Let a be g(2). Solve 0 = a*s + 36 - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16224631*0.1\nAnswer: 1622463.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.49 - -32.49. What is the third biggest value in 0.118, -5\/4, b?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) - (sqrt(85) + (sqrt(85)*6*3 - sqrt(85)))))\/(sqrt(40)\/(-4*sqrt(8))).\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.02029, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38942, -77919, -116896, -155873?\nAnswer: -194850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 32*z**2 - 67*z + 29. Calculate q(30).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p + 15237 = 13169 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -313*t + 4*t**3 - 2 + 8 - 2*t**3 + 317*t to the form k + l*t**3 + q*t + p*t**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2*z = 11, -5*z - 9 = -3*p + 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**2 - 2*l - 1. Let o(k) = -9*k + 2. Let j be o(0). Suppose -2*i = j*a - 2, 2*a - 2*i = -a - 7. Calculate z(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118 (base 16) to base 3.\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(38\/(-20) + (-15)\/(-10)). Is 6 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + 4*m**4 + m**4 + (6350 - 6350 + 1155*m)*(-4*m**3 + 4*m**3 + m**3).\nAnswer: 1157*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*o**3 - 35*o**3 - 65*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 23*n - 68. Let x be g(9). Let a = x - 135. Solve -3*y - a = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p + 2*p + 13*p. Let b(u) = 2*u**2. Determine s(b(v)).\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.81 plus -0.2?\nAnswer: 219.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65321 - 58?\nAnswer: -65380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78.875 + -0.125. Let m = s + 79.4. Let u = -4 + 4.5. Which is the nearest to -0.1? (a) m (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 8*k + 5. Let d = 276 + -197. What is the remainder when d is divided by m(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 - 5*k + 5. Let w be n(-2). Sort w, 477, 0 in descending order.\nAnswer: 477, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*c**2*f + 8*c*f**3 - 25*c*f**2 - 866743*f**3 wrt c?\nAnswer: 24*c*f + 8*f**3 - 25*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2442 is divided by 1953?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64672 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -159 (b) 3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (22 + -4) - (-10 - -1)) + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 - -168. Let k = -2 - -1.5. Which is the third smallest value? (a) 0.2 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 2:32 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**2 - m - 1 + 2 - 8*m**2. Let h(q) = 0*q**2 + q**2 + 6 - 2*q - 3*q. Let j be h(4). Let f(t) = 4*t**2 - 3*t + 3. Determine j*x(v) - f(v).\nAnswer: -2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 116484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + 0.04. What is the smallest value in j, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2521?\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 divided by 4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 26813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 2\/3571?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from ubs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3445227955?\nAnswer: 5, 13, 53003507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 4. Suppose w*z + 0 = g - 4, -4*z - 8 = -2*g. Solve -3*d + g*n = -0*d - 10, 0 = -4*d + 5*n + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 6 = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + r - 24 - 4*r.\nAnswer: -r - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 + 5*g - 10. Let c(j) = 2*j**2 + 3*j - 6. Let v(l) = 10*c(l) - 6*d(l). Let h(a) = -9*a - 4. Give v(h(n)).\nAnswer: -810*n**2 - 720*n - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.242 and 33.\nAnswer: 7.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85692045 - 16*k + 85692045 + 2*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(35 - (-4848)\/(-144)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*z - 15, -2 = -4*p - z + 7. Suppose 15 - 11 = y + 2*o, p*o - 6 = -4*y. Solve -2*j = -5*j + f - 1, 3*j - 2*f - 1 = y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 1. Let y(u) = -u - 2. Let i(h) = -2*a(h) - 3*y(h). Let z be i(5). Let t = 1 - z. Solve -m + 5 = -t*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 741 and 456.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1111111010110101011000?\nAnswer: 1111111010110101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 2*k**2 + 2*k - 3. Let b be (4\/6)\/((-2)\/(-15)). Suppose -4*t - 17 = -3*w - 53, -t + b*w + 26 = 0. Suppose -2*f + t = f. Give g(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 3, 253*m - 250*m = -5*q - 0*q - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16004918*u**4 + 11082849*u wrt u?\nAnswer: -192059016*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -138, -1144, -3840, -9060, -17638?\n\"Answer: -139*q**3 - 11*q**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 o when four letters picked without replacement from mmmdrmomjoo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**3\/3 - 3*y**2\/2 + 3*y. Let m be o(6). Suppose -5*a - 24 = -m. Is a less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8380.325 days?\nAnswer: 12067668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 38732?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/6*(2 - 20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 + 14 - (5 + 0) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 7*r - 2712. Let c = -606 - r. What is c rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3036)\/10032 + 2\/38. Let k = -21.6 - -16. Let z = k - -6. Sort 1\/3, z, 2, p in ascending order.\nAnswer: p, 1\/3, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 125218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 472\/56 - 3\/7. Let g(z) = -z**2 + 8*z + 7. Let q be g(t). Differentiate 2 + 4*f - 7 + q - 3*f wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -579022 + 1.\nAnswer: -579021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474.342 rounded to the nearest ten?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59.6 + -54.6. What is the third smallest value in -4\/9, 0.04, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from rsssrcssp.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 2, 0, -2, -7, -5 in increasing order.\nAnswer: -67, -7, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222 - 111101000?\nAnswer: -111102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)\/((-12)\/4). Let h = b + 8. Let f = 15 - 11. Calculate the lowest common multiple of f and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256 by -4.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -51*(-4)\/(-54) + 4. What is the closest to 1\/17 in m, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17446.23 rounded to the nearest one hundred?\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p = -61*p + 132. Let r = -3 - 1. Let t(c) = 4*c - 11. Let o(d) = d - 4. Determine p*o(b) + r*t(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1613595*p**3 + 172*p**2 - 2*p - 62 wrt p.\nAnswer: -9681570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 11 = 6*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 1185*d + 591*d + 28 = -597*d, 5*v - 5*d - 14 = 3*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.037 + -3742204.02?\nAnswer: -3742202.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/3))**4*(k**(2\/9)\/k)\/(k*k**(-2\/7)))\/((k**6\/k**5)\/(k\/(k\/(((k*k**(1\/3))\/k)\/k)))**(-4\/21)) assuming k is positive.\nAnswer: k**(271\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c. Let y(a) = -758*a + 2. What is k(y(s))?\nAnswer: -1516*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -18548, -23 in decreasing order.\nAnswer: -4, -23, -18548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 117716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 139, 142, 145, 148, 151, 154?\n\"Answer: 3*p + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*h - 9 = 0, q + h - 6 = 2*h. Let a = 13 - q. Suppose -o = -6*o + 25, 0 = a*f + 5*o - 27. Put -8, f, 0 in descending order.\nAnswer: f, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 + 102?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5240021 > -5240016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**3 + 368930*r**2 + 1152447 wrt r.\nAnswer: 3*r**2 + 737860*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 9, 0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11988, 22591, 33198, 43809?\n\"Answer: 2*d**2 + 10597*d + 1389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**2\/2 - 3*c - 2. Let w be o(5). Suppose 0 = 4*u + w*r - 46, 2*u + 8*r - 38 = 4*r. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-1095))\/((-36)\/(-24)*(-6)\/42*-7)\nAnswer: 2\/365","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p - 281 = 478 - 44 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 498.99801 - 499. What is t rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 14 = -5*h, -11 = -4*y + 3*h - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 1242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.5287867 rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/8 - (207\/(-24))\/3. Suppose -4*w + 5*o + 194 = 3*o, 153 = l*w + o. Is w greater than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78137 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 146\/3. Find a, given that 14\/3*a**3 - 2\/3*a**4 + 2\/3*a**2 - 4*a**5 - n*a + 0 = 0.\nAnswer: -1, -1\/2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 10:04 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -470597.678 + 508092. Let c = 37547.321953 - d. Let z = c + -53. What is z rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2410 + 902 = 144*r. Solve r*p - 21*p + 1 = 3*f, -3*p = f - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*h - 3*j + 13, -2*h + 3*j = 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.20581 centimeters to kilometers.\nAnswer: 0.0008420581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-3)\/(-3) + -3. Let r = -2 - h. Suppose 15 = j + 4*p, 5*j + p = 2*p + 12. Solve 4*d - j = x - r, 15 = -2*x - 5*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**8\/392 - t**7\/245 - t**6\/140 + t**5\/70 + 4*t**2 - 10*t. Let r(p) be the first derivative of a(p). Factor r(x).\nAnswer: 6*x**2*(x - 1)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzzzzzzuzzuqz. Give prob of picking 1 z and 2 q.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198, 69, -4, 5, 24, 3.\nAnswer: -4, 3, 5, 24, 69, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/8*66*130\/15 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190781908?\nAnswer: 2, 19, 89, 176047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 4462752.\nAnswer: 4462752","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5)*(-3*f + 2*f + 2*f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 - 110. Suppose -5*m + 2*c = 37 - 130, x = 4*m + 5*c. What is the remainder when 29 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28 - 0.02. Let t = -109 - -108. Let l = 1.2 + -0.2. Which is the nearest to g? (a) 3 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155926.14 hours in days?\nAnswer: 6496.9225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5684\/11*k + 2\/11*k**2 + 4038482\/11 = 0.\nAnswer: 1421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721 - 670 = -40*i - 197*i - 1845 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.26 rounded to 0 decimal places?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 176*o**7\/105 + 55*o**4\/12 - 56*o**2. What is the second derivative of w(p) wrt p?\nAnswer: 4224*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -10*p + 104. Suppose 265 - 92 = 2*n - z, -5*z + 191 = p*n. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 461260 or 461262?\nAnswer: 461262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 4, -0.4, -91, -5, -4\/9 in decreasing order.\nAnswer: 4, -1\/6, -0.4, -4\/9, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p - 12 + 12.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6690 and 2746241454.\nAnswer: 2746234764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-3*q + 5*q - 4*q) + 2*q + 0 + 0 + (-28*q + 10*q + 9*q)*(1 - 1 - 1).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69.9, -4, -115.\nAnswer: -115, -4, 69.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*m = -m + 12, -3*y + 33 = m. Let z(w) = -w**3 - 5*w**2 + 9*w + 8. Let l be -2*((-1)\/2 - -4). What is the remainder when z(l) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (45 + -29 - 32)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -21598?\nAnswer: -215a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.5 - -0.5. Which is the second smallest value? (a) j (b) -9 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 636 and 424.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 5969 + 8791 = 0. Suppose 88 + p = 24*k. What is the remainder when k is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975658433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*476\/(-24) - 2\/(-6). Suppose -41*a + 37*a + y = 0. Calculate the lowest common multiple of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18056 smaller than -18053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 - -28?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21\/2, 164.7, 0.055?\nAnswer: 164.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b + 2. Let j be f(-2). Let s be 1690\/15 - (-2)\/(-3). Calculate the highest common divisor of j and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*r + 72. Suppose -5*j + 67 = 2*u, 3*j + u + r = 52. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 377*j - 6.\nAnswer: -377*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**3 + 137*r - 61 with respect to r.\nAnswer: 6*r**2 + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5140, 5136, 5130, 5122?\n\"Answer: -g**2 - g + 5142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**3 - 112*l**2 + 980*l - 2744 = 0.\nAnswer: 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 12:05 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32292*a**2 + 13315*a - 1?\nAnswer: 64584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-5) - (-3 - (-6 + -1))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*y + 213*y - 32422 = 0 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 - 4) - 2 - ((-4 - -22) + -12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2049 - 634. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8032*x - 176595. Determine p(-22).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 32 - 2*b**3 + 19 + 9 - 2*b**4 + 11 - 2*b**2 to p*b**3 + x*b + h*b**2 + f + c*b**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -18. Let a be 3\/2*8\/(-6) + 8. Let x = a - u. Sort 0, -5, x in decreasing order.\nAnswer: 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) + (-5)\/(-6). Let g = 1.17 - 0.67. What is the nearest to y in g, 0.4, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, 2\/3 in ascending order.\nAnswer: -3, 2\/3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/20 and -117\/196.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(68)\/sqrt(4) + sqrt(17)) + 2 + sqrt(153))**2.\nAnswer: -26*sqrt(17) + 2874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 >= 583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*sqrt(153)*-3 - -1*2*sqrt(153))\/(((sqrt(36) - sqrt(36)*-2) + (sqrt(81)*-4 - sqrt(9)))*-5))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**3 - 5*y**2 - y - 2. Give q(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**3 - 1233650*l**2 - 76094616125*l = 0. Calculate l.\nAnswer: -123365, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*m**5 - 2*m**4 + 2310422*m**3 - 40919*m**2 - 4049*m.\nAnswer: 2100*m**2 - 48*m + 13862532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468756.\nAnswer: 2, 367189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.98 in -4, 3, 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.06 (b) -1\/10 (c) 45 (d) 1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 45075 = 2*x, 5*x + 3*d - 4*d = 112713. Is x a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i = -z + 24, 27*i - z + 5 = 22*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 12:02 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + v - v)*(-7741 + 6136 - 3126 - 14361 - 4338) in the form z*v + t and give z.\nAnswer: -46860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2974 - 0.0026. Sort 0.3, -1\/8, v in ascending order.\nAnswer: v, -1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31.76 from -188.8833.\nAnswer: -157.1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/6902 and 88\/1071.\nAnswer: 62118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -5, 2936, 34, 4 in descending order.\nAnswer: 2936, 55, 34, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0350765 to three decimal places.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 57037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)*(-16 - -14) + 5. List the prime factors of (-81)\/((12\/(-8))\/t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*x**3 - 2*x**2 - 42*x - 29518?\nAnswer: 51*x**2 - 4*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 626972 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 0*l**2 + 2\/3*l**4 + 0*l**3 - 11\/30*l**6 + 0*l**5 + 0 + 4*l. Find the third derivative of v(p) wrt p.\nAnswer: -264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/((-4)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -334 or -342?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1190 + 5562 + 7781 + 7019)*(p - p + 2 - 2*p).\nAnswer: -43104*p + 43104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*t**3*x*z**3 + 2*t**3*x*z - 3*t**3*z + 27*t**2*z + 91*x*z**4 - 1036*x*z wrt z?\nAnswer: 264*t**3*x*z + 1092*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 0.4 (b) 1 (c) -2\/9 (d) 920\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4485, 8982, 13481, 17982?\n\"Answer: z**2 + 4494*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okko when four letters picked without replacement from kbkookkb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 2*k**5\/5 - k**4\/24 + k**3\/3 + 106*k**2. What is the hundreds digit of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q\/q**(-2\/3)*q)))**(-32\/5)*(q*q**(-2\/7))**(-32))\/(q\/(q**(1\/7)\/q)*q**(-6)\/q)**(3\/20) assuming q is positive.\nAnswer: q**(-4783\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-1\/2)*o*o))\/o)**(-11)*o**25*o\/(o**(-23)\/o) assuming o is positive.\nAnswer: o**(133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = -16839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -895 + 1385. Let c = 493 - f. Solve 6\/19*n**4 + 2\/19*n**2 - 6\/19*n**c + 0 - 2\/19*n**5 + 0*n = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 28*u + 32)*(-4 - 2 + 5)*(46*u - 15*u**2 - 46*u).\nAnswer: -420*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1040684322 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 0.3, -0.3, 501?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(((-12)\/(-15))\/((-4)\/(-10))). Which is the third biggest value? (a) 4\/9 (b) g (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7019276 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -299.9601 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0949 + -0.0667. Round g to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -138*f + 552. Determine a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 - 10*w**3 + 2*w - 1 + 2*w**3 + 8*w**3 + 41*w**3 in the form h*w**3 + p + j*w + v*w**2 and give h.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5 = 3. Let l(s) = 3*s + 2. Let d(a) = -4*a - 3. Let y(h) = o*d(h) - 6*l(h). Let x(f) = 2*f. Calculate x(y(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:16 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w**2 + 2*w + 6. Let a(u) = u**3 + 9*u**2 - 4*u - 10. Let c be a(-9). Suppose c*l - 45 = 35*l. Give x(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -79, -18 in descending order.\nAnswer: 1, -5, -18, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 1321338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1134 and -37\/20?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 9*r**2 - 36*r + 9*r**4 + 15 - 22 + 30*r**3 - 5 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f + 2*f - 2*f)*(-4 + 4 + 2 + 5 - 2 - 5 + (1 - 3 + 4)*(1 - 3 + 4) - 3 + 1 + 0 + 2 - 1 - 2 - 2 + 4 - 1) in the form n + l*f and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 3*n - 6. Let a(o) = o + 4 - 5 + 0*o. What is -5*a(p) + q(p)?\nAnswer: p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let l = a + -3. Let m be (l - -4)*2\/2. What is the second smallest value in m, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*j + 419, -4*j = n - 2*n - 343. Suppose 5*i = 1 + 4. Let m be 22 - 4 - (i + 0). Calculate the highest common factor of j and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5341 (base 6) in base 10?\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -3*m**4\/4 + 5*m**3 + 156*m**2 + 3133. Factor y(s).\nAnswer: -3*s*(s - 13)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - 4.8. Let k = z + 17. What is the closest to -1\/2 in k, 3, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 836 (base 10) to base 16\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52600 is divided by 2935?\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**7\/840 - b**6\/90 - b**5\/120 + 4*b**3\/3 + 2. Let i(f) be the third derivative of a(f). Calculate i(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 14*d - 42 = -3*v + 32*d, -3*v = -13*d - 0*d for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 40. Let s be 1\/((-4)\/(-426)*r\/(-4)). Let z = -66 - s. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 11. What is the remainder when 43 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*l + l + 1, -5*s - l = -25. Let t be 2\/(-2 - 2)*(1 + -135). Let z = -200\/3 + t. What is the nearest to z in -1\/4, s, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**4\/12 + 2*h**3\/3 - 5*h**2. List the prime factors of m(18).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -2 - p**2 - 2*p - 1\/6*p**3. Let s(y) = 0. Calculate y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 16*f**2 + 2*f - 27. Suppose 0 = -4*y - 0*y + 64. Let m be o(y). Solve 20 = -m*d + 10*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/40*11\/((-99)\/6)*-6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 20*i + 32 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {s: 1, l: 1, x: 3, m: 1, d: 1, t: 5}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34456 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 34*g**2 + 9*g - 9. Let x(p) = -51*p**2 - 14*p + 14. Calculate -8*d(l) - 5*x(l).\nAnswer: -17*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2084 = 988*w - 2768 - 3052 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -531.09\nAnswer: 8497.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 23 = 11. Let j = p - -19. What is the third derivative of -82*w**3 + 77*w**3 + 12*w**j + 7*w**2 wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/9 and -143\/810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37593 + 415523\/11. Let n = x - 182. Which is the second biggest value? (a) -1\/3 (b) n (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 6\/(-9))\/(3\/(-125973)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9364 + 9327. Is 0.055 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 67*l**2 - 66*l - 406. What is the hundreds digit of x(-68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 12:21 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 4*u - 20. Let h be (0 + -5)\/(4\/u). Suppose 6*f - h = 5*f. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4796373656.\nAnswer: 2, 709, 845623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6300144 and 344784.\nAnswer: 69301584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 2. Suppose -20 = -4*r - 0*r. Let n = i - r. Let v(h) = -h**3 + 2*h**2 + 2*h + 2. Calculate v(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 61, 4.\nAnswer: -4, -3, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 2 - ((-28)\/10 - 2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -14*j - 10. Let c be 2 - (2 - 2)\/(-2). Suppose 0 = -c*x + j*x + 3*x. Solve 6*g - g = x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, v: 4, w: 2, y: 4}. What is prob of picking 1 w, 1 y, 1 c, and 1 v?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**2 - 4*y + 24 = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a gram in milligrams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -12. What are the prime factors of (-5320)\/(-42) + (-1)\/(b\/4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*-1*sqrt(114))\/((-3*sqrt(24) - sqrt(6)) + -5*sqrt(6)*-2 + sqrt(6)) + -5.\nAnswer: -5*sqrt(19)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -678, 1\/4, 2\/15, 1, -5, 102 in ascending order.\nAnswer: -678, -5, 2\/15, 1\/4, 1, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.941 + 1.941. Is -7\/40 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*d = 539, 4*v + 9*d = 12*d + 702. Suppose -4*g + 4*f = -252, -3*g + v = 6*f - 5*f. Let r be 7 + -3 - g\/(-5). Solve 2*a = -2*a + r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {l: 3, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -10*n + 46 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + 18. What is the tens digit of -3 - (2\/(-1) + b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (51\/(-45) + 1)\/(19\/(-5510)*-29). Sort 0.3, 0.4, 1, 0, p in increasing order.\nAnswer: p, 0, 0.3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 4*n**2 + 4. Let v be u(4). What is the tens digit of v\/22 - 2800\/(-88)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20272 and 2520.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2950, -3136, -3310, -3466, -3598, -3700, -3766, -3790?\n\"Answer: v**3 - 193*v - 2758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and (-11)\/(-11) + 4566 + (2 - 3)?\nAnswer: 9132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*m + 72, 5*i - 3*i - 36 = -2*m. Solve 15*x = m*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13189011*z**2 - 6594299*z**2 - 6594722*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l - 4*l, -3*t = -3*l - 57. Is 15 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 4:20 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 2*k**2 - k. Suppose n - 8 = 5*n. Let b be m(n). Suppose 2*c = -3*r - b, -3*c - 2 = r + 4*r. Put -2, c, 0 in decreasing order.\nAnswer: 0, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**5 + 117*a**4 - 1123*a**2 wrt a.\nAnswer: 360*a**2 + 2808*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/352264 and -38\/8938699.\nAnswer: 71509592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2057) - (4 + sqrt(272)))**2 + 5 + (sqrt(68) + -1)**2.\nAnswer: -60*sqrt(17) + 923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/60 - 7*t**4\/24 + 3*t**3\/2 + 3*t**2. Let a be p(7). Let h = -4 + a. Solve 0*q + h*q = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {c: 3, i: 8, a: 5}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90818876\/3141 + 28914. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(196)*2)\/(sqrt(21)\/(sqrt(18)\/(-1*sqrt(6)))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttpppptpttpp. What is prob of sequence tppp?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 733? (a) -14 (b) 1.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 266 = -1026. Round x to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 (base 13) in base 7?\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7.7 * -6.348\nAnswer: 48.8796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -129 (base 13) to base 14\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-6)\/6 - -2. Sort y, 0, 2, -5 in ascending order.\nAnswer: -5, 0, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228359?\nAnswer: 3, 11, 37223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*u + 13, -3*u + 2*u + 1 = -p. Let y(k) = 2*k**3 + k**2 - 2*k. Let h be y(p). List the prime factors of 15\/(-2)*h\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11)**45\/(h**(3\/14)*h**(1\/8)) assuming h is positive.\nAnswer: h**(27701\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/5)\/(1 + -2). Let v = 16\/9 - 89\/45. Let o = 2.9194 + 0.0806. What is the biggest value in v, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/11 < 1\/452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 880572601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/21)\/((-6)\/18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111100110000011110100 (base 2) in base 5?\nAnswer: -3040411304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 6*g**2 - 4*g + 4. Let c be h(6). Let k be (16\/14)\/(c\/(-70)). Solve -6*m - k = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2637441 by -3.\nAnswer: -879147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x - 13. Let r = -6 + -1. What is the smallest common multiple of -5*(-1)\/(-1)*351\/(-65) and c(r)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 5. Let o = -4 - -7. Suppose -o*d = d + 16. What are the prime factors of x(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23839 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 0*j)*(-7 - 6 - 60).\nAnswer: 73*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 21*c - 22. Let a be p(22). Let r = 13 - a. What is the remainder when 28 - (-2 + -2 - -8) is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -802 (base 9) in base 12?\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11894129 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: Let a = 0.07 - -0.2. Let f = 0.1 - a. Let z = f - -0.1699966. Round z to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/11 - 2*y**2 + 2*y\/11 + 2 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdz when three letters picked without replacement from {r: 1, o: 5, z: 3, d: 3, v: 8}.\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 381, 401, 439, 501, 593?\n\"Answer: k**3 + 3*k**2 + 4*k + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18751, -37498, -56255, -75028, -93823, -112646?\nAnswer: -131503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9391390 divided by 35845.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23892*c*q**2*w**2 + 32*q**2*w + q*w**2 - 57*q*w wrt c.\nAnswer: -23892*q**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46356487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 570113179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 + 7.67\nAnswer: 7.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 15*a - 12*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -53, -61, -47, -5?\n\"Answer: x**3 + 2*x**2 - 37*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/1 - -2) + 2. Suppose -r - 5*u - 5 = 0, 0*r - 5*r - 2*u - 2 = 0. Suppose 3*v - 1717 + 1705 = 0. Sort z, -4, v, r in ascending order.\nAnswer: -4, r, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*m - 6*m - 136, -4*m + 2*r = 296. Suppose 5*f = 2*p - 3 - 12, 3*p - f - 29 = 0. Let c be (-1)\/(-4)*p*m. Round c to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 6 - 8*m - 6*m - 3*m. Let x be l(-12). Suppose 3*u = 4*k - x, -u = k + u - 94. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 0*i**4 + 1\/25*i**5 + 1\/30*i**6 + 0*i**3 + 0*i**2 + 0*i - 2. Factor y(v).\nAnswer: v**4*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9446070, -9446062, -9446054, -9446046?\nAnswer: -9446038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 228672 - d - 227663 - 26*d**4 - 2*d**4 with respect to d.\nAnswer: -112*d**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -0.01, -1\/9, 1 in ascending order.\nAnswer: -4, -1\/9, -0.01, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*u + 18 = 0, -11*b + 4*u - 117 - 42 = 0. Let g(t) = t**3 + 10*t**2 - 38*t + 16. Give g(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*b - 4*b = 300, 4*l + 384 = 4*b. Let d = 101 + l. What is the least common multiple of 53 and d?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzrzrrzzrz?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.8, 1, -20\/33, -3\/8 in increasing order.\nAnswer: -4.8, -20\/33, -3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*x + 14, -2*x = -5*q - 0*x - 2. Sort 4, 8, q in decreasing order.\nAnswer: 8, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 593 + -268. Let t = 324.6 - p. Let z = 1.5 + -2. Which is the third biggest value? (a) z (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3630) - (sqrt(3630) + sqrt(3630)*2))*-4 + (sqrt(3630)*1 - sqrt(3630))*5)\/((sqrt(360) - sqrt(360)*3)*-4*-4).\nAnswer: -11*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z - 78 = 210 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 50*h - 1422. What is r(-20)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9352 - 0.5352. Let m = 0.3 - 2.3. Let r(q) = q**3 - q**2 + 2*q - 5. Let g be r(0). Which is the fourth biggest value? (a) m (b) g (c) 0.5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52065258 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 11*k - 28. Let g be v(-4). Put 2, g, 3, -2 in descending order.\nAnswer: 3, 2, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 1482\/1138469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a - 4. Let r(u) = 4*u + 5. Let i(x) = 2*x**3 - 2*x**2 - 3*x + 3. Let d be i(2). Let w(g) = d*p(g) + 4*r(g). Let z(n) = -n**2. Determine w(z(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeea when four letters picked without replacement from ygaaeggye.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190*h**3*q**2 - h**3*q*t - 626*h**3*t - 2*h**2*q*t - 2*h*t + 4217*q**2*t - 7*q wrt q?\nAnswer: 380*h**3 + 8434*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 + 0.2194227?\nAnswer: 245.2194227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 2297*q**2 + 326264*q + 11250192.\nAnswer: -(q - 2433)*(q + 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 9*r + 7*r. Suppose 16*q - 115 = -r*q. Let n(v) = 30*v. Let b be n(1). Solve 3*y - 13 = 2*k, 4*y + y - q*k - b = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 3*j + 0 + 0)*(-16*j - 52 + 52).\nAnswer: -32*j**4 + 48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*r**4 + 6*r**2 + 94*r - 94*r wrt r.\nAnswer: 456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1163 + -750. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + d**2 - 1. Let s(y) = 17*y - 288. Let w be s(17). Let l(u) = 2*u**3 + 3*u**2 + 7*u - 9. Let i(z) = w*l(z) - 3*h(z). Factor i(o).\nAnswer: -(o - 2)*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 0 + 0*g - 1\/30*g**5 + 0*g**3 + 0*g**4 + 3*g**2. Let i(z) be the first derivative of z**2\/2 + 2. Give i(w(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.7. Let z = 139 + -57. Let m = -114 + z. What is the second smallest value in m, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13029 (base 10) to base 4.\nAnswer: 3023211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -184262 * -0.1\nAnswer: 18426.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0 - 1\/10*p**5 - 2*p**2 - 1\/20*p**6 + 1\/112*p**8 + 1\/8*p**4 + 1\/2*p**3 + 1\/70*p**7 + 0*p. Suppose b(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/359 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78927 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = 21*o + 10. Let m be 54 - (1 + 1)\/(o\/3). Let r = m - -83. What are the prime factors of r?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56916 and 15291.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251145 + -5055?\nAnswer: 242050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*h + 4, -4*h - 37 = -5*x + 9. Solve x*o + 15 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*(sqrt(700)*2 - sqrt(700)) - (sqrt(700) + -6*(sqrt(700) + 1))))**2.\nAnswer: 3240*sqrt(7) + 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220669 = -15*u + 811429. Suppose -6*z - 4962 = -u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 59. Let l(a) = 12. Let s(b) = -33*l(b) - 6*z(b). Calculate the lowest common multiple of 30 and s(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13940 and 228.\nAnswer: 794580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**6\/120 + 3*x**5\/80 + x**4\/24 - x**3\/2 + x**2 + 2*x - 2. Factor a(s).\nAnswer: -(s - 2)**2*(s - 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**3 - 3*x**2 + 4*x + 9. What is the tens digit of n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 1 + 3. Let c(h) = 2*h**2 + 9*h - 11. Let f(s) = s**2 + 5*s - 6. Let j(o) = 3*c(o) - 5*f(o). What is the units digit of j(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 16) in base 13?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 - 87. What is the remainder when 54 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 8*c - 6*c. Let p(f) = 61*f + 55. Let w be p(c). What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*c - 2*c - r, r = 5*c - 14. Suppose -k = -c*k + 4. Suppose -w = 3*w, -k*s + 22 = 3*w. What is the remainder when 32 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13033.\nAnswer: 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/6*(-12)\/10. Suppose -5*r + 4*r = -q - 3, q + 3 = -y*r. Suppose 4*b = -4*s + 244, 64 = s - 2*b - r*b. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.014, -37370\/3, -5, -1, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -651, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((50\/20)\/((-2)\/(-4)))\/(-1))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/7*1)\/((-2)\/6)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.113 + 0.287. Which is the smallest value? (a) 0 (b) 1\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 75317614, 75317619, 75317624, 75317629?\n\"Answer: 5*n + 75317609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270372320?\nAnswer: 2, 5, 37, 109, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633*q + 22876 = -54027 + 3475. Let y be 7 - -3 - (1 - -1). Calculate the greatest common factor of y and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -146 - 30. Let j(i) = 14*i - 3. Let y(n) = 51*n - 11. Let m(p) = v*j(p) - 6*y(p). Let h(g) = -2*g + 117. What is h(m(c))?\nAnswer: -4*c + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yffjjcfjfoojofyooj. What is prob of sequence jfc?\nAnswer: 25\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(3 - 1 - -18). Suppose 4 - u = 4*y. Let f be ((-2)\/(-5))\/(y\/(-20)). Solve 0 = -h - f*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttvvtttv?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13991*w = -13988*w - 2*n + 15, 5*w - 9*n = -25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 671 = j, -j - 10 = j. Which is smaller: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 142608358.3 to the nearest 10000.\nAnswer: 142610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.77 - 0.27. Let t = v - 2.8. Put -0.08, t, 2\/9 in descending order.\nAnswer: 2\/9, -0.08, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 257\/3)\/(2108\/(-186) - -12)?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from eodzodzddddydde?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 - 12*r**2 - 14. What is t(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 9, z: 1, n: 2, u: 4}. What is prob of picking 1 w and 2 n?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -22*z - 174. Let s(i) = 62*i + 523. Give 17*j(m) + 6*s(m).\nAnswer: -2*m + 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 5*u - 8, 3*w - 6*w - 4*u = 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 5:11 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 0.0901.\nAnswer: -0.3901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1016 in -4, -27270, 2, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1974*c = 1985*c - 363. Let m(f) = 22*f**2 - f + 2. What is the remainder when m(2) is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 - 13*p**2 + 10*p - 20. Let f be x(6). Suppose -f = -4*w + 28. Solve 4*i = w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -214*f**3*y + 411*f**3 - 2*f**2 - 292*f - 436*y**3 + 2 wrt y?\nAnswer: -214*f**3 - 1308*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + u. Let b(l) = -l**3 - 19*l**2 - l - 3. Let s(c) = b(c) - 3*n(c). Is s(-16) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)*0 - -4. Let q be j\/1 - (-3 - -4). Is ((-2)\/(-6))\/(q\/207) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 705, 713, 721, 729, 737?\n\"Answer: 8*n + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*s + 7. Suppose s*z - 8 + 38 = 0. Let b = z + 10. Solve q = -b*q - 5, 2 = f + q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 21) + (2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12361, -20048, -27739, -35428, -43109?\n\"Answer: d**3 - 8*d**2 - 7670*d - 4684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, n: 2, c: 1, q: 3, k: 1}. What is prob of sequence qqjn?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 1\/12*z**3 + 0 + 0*z**2 + 1\/80*z**5 + 1\/16*z**4 - 3*z. Solve d(b) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*g - 532 - 8177 + 94 + 75 = 0 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(304) + (sqrt(304)*1)**2 + (sqrt(19) + 1)*-5 + sqrt(19).\nAnswer: sqrt(19) + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.06 + -5. Let c = 1226.0547 - 1226. Let u = w - c. Round u to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -516 divided by 62736.\nAnswer: -43\/5228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide ((-63)\/6 - 2)*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7985 a factor of 2029533572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v - 5*l - 41, -3*l - 25 = 2*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -0*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 5. Let w be m(-7). Suppose n = w*n. Suppose n*b = o - 3*b - 7, -2*o - 18 = 2*b. Let v(h) = 2*h + 6. Calculate v(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((2 - 2) + -10) - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-3) - ((-78)\/(-9))\/(-13). Solve -3 = -2*a + c*o - 22, 2*o - 10 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1549*z - 1623*z = -1702 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5546.932674 to 0 dps.\nAnswer: -5547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 20*a. Let c(l) = 2*l**2 + l + 2. Let v(q) = -50*q**2 - 26*q - 50. Let r(f) = 52*c(f) + 2*v(f). Calculate r(s(o)).\nAnswer: 1600*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 500 = -893. What are the prime factors of q?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 - 11?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96.57 + 1.43. Let o = 98 - b. Let q = 17\/5 + -56\/15. Sort q, -0.5, o in descending order.\nAnswer: o, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.07 - 17. Let d = g - 0.27. Sort d, 4, -4 in increasing order.\nAnswer: -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, -3, 1\/4, 0.5, 38\/5, 31?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 30, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*g**2*u**3 - 22*g**2*u**2 + 1133*g**2*u + 2*g*u wrt u?\nAnswer: -78*g**2*u - 44*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(343)*3 + (sqrt(343) + 2 - sqrt(343)) + -5)**2 + (-6*-1*sqrt(343)*4)**2.\nAnswer: -252*sqrt(7) + 209925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -2*a + 12*h, -2*a = -3*a + 2*h + 23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 7:43 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*a - 4419 = 0, -21*q - 8843 = -25*q - a. Let i = q - 1302. List the prime factors of i.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/36 + n**3\/18 + 2*n**2 - 98*n. Suppose z(w) = 0. What is w?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9616979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x - 4*x - 2*x - 1 + 1 + 2*x - 2*x - x + x + 3 - 3 + (-2*x + 4*x - 4*x)*(-5 + 0 + 3).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*h**2 - 190*h**2 + 373*h**2.\nAnswer: 66*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 10*a**2 + a - 5. Let j be o(10). Let f(r) = -r + j*r + 0*r - 1. Let y be f(1). Put y, -1, 0 in ascending order.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1652 (b) -5\/2 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -397*s**2. Let j(i) = 17544*i**2. What is j(d(o))?\nAnswer: 2765092296*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1097*z + 1090*z + 539. Is z bigger than 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -109898\nAnswer: -219796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 137924?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 3*b + 182 = 27, -4*b - 4 = 0 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, z: 11}. What is prob of sequence zzmz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.302 times -558?\nAnswer: 168.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2445*v + 2498 with respect to v.\nAnswer: -2445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27c2 (base 16) to base 3.\nAnswer: -111221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2 - 7995537*t - 3997769 = 0.\nAnswer: -1\/2, 3997769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 48317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15795415 and 685?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/120 - r**5\/20 + r**4\/3 + 13*r**3\/6 - 5*r**2 - 35. What is the thousands digit of g(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67337 and 28033.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 49*c + 3. Give h(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l**5 + 33880*l**4 - 163080*l**3 + 163360*l**2 + 217360*l - 326400 = 0. Calculate l.\nAnswer: -1360, -6\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118112 + 22449 + 13078 = -9*b. What is b rounded to the nearest 100?\nAnswer: -17100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, f: 2}. What is prob of sequence aff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2827649 - 2827647.8599652. Let y = -1.14 + f. Round y to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 3*s. Let x be c(2). Let o(n) = n**3 - 10*n**2 + n - 13. Let b be o(10). Is 16 a factor of b\/(-2) - (-93)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.043 + 26.957. Let n = 24.6 - r. Let g = 0.4 + n. Put -3, -0.3, g in decreasing order.\nAnswer: -0.3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29054?\nAnswer: 2, 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 110011\/393?\nAnswer: 110011\/393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 5. Suppose -g + 3*a = 2*g - 12, 0 = 5*g - 2*a - 26. Suppose 25 = -y + g*y. Determine d(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(-2 - (140\/21)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -480.3 + 480. What is the nearest to 1 in l, -6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23625575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12514 + 12517. What is the second biggest value in -0.32, x, 0.1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 18*p**5 + 4258*p**4 + 6958*p**3\/3 - 28910*p**2\/3 - 27868*p\/3 - 4720\/3 = 0.\nAnswer: -236, -1, -2\/9, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 + 4 + 5*s**3 - 3 - 1.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10682 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 8:38 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*(-179)\/(13962\/(-8632))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 380*h + 385.\nAnswer: -5*(h - 1)*(h + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 345 = 2*n - 32*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316 + 365. Are 49 and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1208 (b) 1225 (c) 4 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**4 - k**4 + 6*k**2 - 6*k - 2*k**4 + 6*k**3. Let m(r) = -r**5 - 5*r**4 + 6*r**3 + 5*r**2 - 5*r. Let a(z) = 3*h(z) - 2*m(z). Factor a(l).\nAnswer: 2*l*(l - 2)**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 240 = d. Let u(v) = 3*v**3 - 4*v**2 - 33*v + 22. Let l be u(-3). Sort l, 2, d in decreasing order.\nAnswer: l, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6941100*j*k*w**3 - 39*j*k*w**2 - j*w + 2*k*w - 11668*w**2 wrt w?\nAnswer: -41646600*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4954 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 788982 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 53 = -3*n, n + 2*q = 4*n + 37. Is -13 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 103?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4005.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 63*s + 956. Calculate p(0).\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*j**2 - 135*j + 50*j**2 - 256*j + 62*j**2.\nAnswer: -3*j**2 - 391*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 1176*p**2 - 7128*p + 196. Determine n(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 742821838 and 15290?\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 11 + -2)*1. Suppose -4*r + 75 = -b. Let z be 5\/(r\/12) + -3. Let l(f) = -f + 9. What is l(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 465 divided by 15\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69*z + 213.\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**5 + b + 1. Let m(v) = -19*v - 26*v**5 - 3*v + 5 + v + 40*v**5. Let z(o) = -m(o) + 5*p(o). What is the second derivative of z(y) wrt y?\nAnswer: -180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1994, 4562, 8306, 13814, 21674?\nAnswer: 32474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -2*v**5\/85 + 19*v**4\/34 - 76*v**3\/17 + 224*v**2\/17 - 256*v\/17 - 120. Find z, given that a(z) = 0.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k**2. Suppose -2*p - 2 = q + 5, 3*q + 21 = 3*p. Let c(z) = -17*z**2. Let i(t) = q*h(t) + 4*c(t). Let l(m) = -3*m**2. Calculate l(i(v)).\nAnswer: -75*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in -9\/5, -1\/18, -7?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -96653704, -96653702, -96653686, -96653650, -96653588, -96653494, -96653362?\n\"Answer: l**3 + l**2 - 8*l - 96653698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20999354?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4052*q - 24296. Determine y(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13942 - 0.3\nAnswer: -13942.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10950\/1022*21\/(-27)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -749 in -1, 2\/5, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1132445*r + 163851 wrt r.\nAnswer: -1132445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1038.962 + -1040. Let n = 0.5 + -0.538. Let m = i - n. What is the nearest to 1\/3 in -0.1, 3\/7, m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 3*k + 2. What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2 (b) -2121 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2 + m**2 + 10*m**2. Suppose -5*s = 4*g + 8 - 24, -3*g - 3*s = -12. Let b(f) = -g*f**2 - 9*f**2 + 15*f**2. Give b(y(x)).\nAnswer: 72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -17100*k - 273592. Calculate s(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -808 (b) 3 (c) -3 (d) -0.5 (e) -4\/871\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*j - 179*j - 55*j)*(-4 - 3 + 6)*(-6 + 4 + 1).\nAnswer: -299*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -527\/1730 + 70\/173. What is the closest to 0.2 in 19, b, 1, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20988010?\nAnswer: 2, 5, 2098801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -6\/5 (b) -5 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1143 - -1730. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c8 + 580?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 + 20*w**2 - 168*w + 784\/3.\nAnswer: -2*(w - 14)**2*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 185*c**3 + 4*c**2 + 2*c + 4. Let b(w) = 2*w**3 + w**2 + 1. Calculate 4*b(t) - v(t).\nAnswer: -177*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 144*c**2 - 130*c + 9364. Give u(72).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 674049.9 centuries?\nAnswer: 808859880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -u - 0*u + 16, 0 = 3*c + 6. Let z be 0 + 2 + (-82)\/(-4)*u. Suppose -z*v = -124*v - 157. List the prime factors of v.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1344*m**4 + 1343*m**4 + m**2 + 3 + 0*m**3 - 3*m - 2*m**3 as a*m**3 + d*m**4 + c*m**2 + t + l*m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15362 greater than or equal to -15364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 11:35 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*y - 4 - 2 = 0, 0 = y. Suppose -1 = 3*v - 4*r, -2*v + 2*r + 5 = 3. Suppose -4*h = -11 - v. Sort h, -2, u in decreasing order.\nAnswer: h, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.62479 and -4.\nAnswer: 2.49916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 8664.\nAnswer: 268584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*p = -68, o + 55950*p - 55955*p = -6 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Suppose 0*y = -o*y + 32. 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 1*sqrt(130)\/(sqrt(10) + sqrt(40)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 46. Calculate the greatest common factor of i and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 bigger than 234\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*o**4 + 0 + 63\/8*o + 93\/8*o**2 + 33\/8*o**3.\nAnswer: 3*o*(o + 1)*(o + 3)*(o + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380253*d - 9*d**3 - 28*d**3 - 380253*d.\nAnswer: -37*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 70. Let g = -1\/167 - 165\/334. What is the closest to 0 in 4, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2153 divided by -9380\nAnswer: 2153\/9380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2028 * 0.5.\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602443 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 2*s - 72. Let v(a) = a**2 + 19*a - 17. Let y be v(-20). Suppose d = b - 0*b + y, 2*b - 2 = 0. Solve -s*j = -d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75232 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let u(p) = 15 - 6 - 8 + 388*p. Determine u(t(r)).\nAnswer: 388*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 - 28 = -z - v + 44, 4*z + v + 2 = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -112 (b) 1\/3 (c) 12 (d) 9 (e) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2727.1601 to the nearest ten.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Let z(n) = x - 4 - n**2 - 3*n + 6. Let y be z(-3). Which is bigger: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12087 + -580229\/48. What is the common denominator of (2\/5)\/((-1246)\/445) + (-1676)\/(-4480) and f?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Suppose 0 = w + 5*g - 2 + 17, 0 = -4*w + 2*g + 6. Suppose -x*v + 260 + 1086 = w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 10, -2 in ascending order.\nAnswer: -2, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27272482*z - 66643739 wrt z?\nAnswer: -27272482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290873 and 156643?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24456 and 27513.\nAnswer: 220104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.774 - 0.7864. Let v = r - -1.320424. Let d = 0.24 + v. What is d rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1515, 2420, 2673, 2280, 1247, -420?\nAnswer: -2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25969, -25968, -25967, -25966?\nAnswer: -25965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14204217089402339\/9912 + -1433032395179. Let f = -1\/9912 - p. Let d = f - 1221. Find the common denominator of d and 22\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20.1. Let h = -143.04 + 142. Let m = h + -1.96. Which is the closest to q? (a) -5 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 2652*q**2 + 5301*q + 2650.\nAnswer: (q + 1)**2*(q + 2650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c = -15. Let d be 0 - 2 - (c - 1). Suppose 2*t - 7*s - 53 = -2*s, -d*s = 10. What is the smallest common multiple of t and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 3. Let l be j(5). What is the remainder when 46 is divided by l + 3 + 0 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5 - (-441)\/105?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20193142 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*((f*(f\/(f*(f*f**(1\/24))\/f))\/f)\/f*f)\/f))\/(f\/(f*f**(5\/6))*f) assuming f is positive.\nAnswer: f**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 1\/4, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -617?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 a when three letters picked without replacement from reraeeeeeerrfeeqrere.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35760 at least 35961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14170 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 537*r - 34459. Determine f(106).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109027*s**2 - 109032*s**2 + 218058*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*d - 9 = 0, d = -21*q + 18*q + 29. Which is the nearest to 1\/5? (a) 1\/3 (b) q (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -5, -0.01, 16 in decreasing order.\nAnswer: 16, -0.01, -5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 867*o**3 - o - o + 5*o**2 - 4*o**2 - 1205*o**3 as d*o**2 + g*o**3 + v + c*o and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o)**(-17)*o**(-6\/7)*(o**(-2)*o)\/o assuming o is positive.\nAnswer: o**(-139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*c + 79*c + 152 = 135*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-6*sqrt(68)*1*-4)\/(sqrt(8)\/(sqrt(10)\/sqrt(5)) + (sqrt(64) - (sqrt(64) - 2*sqrt(64)))))**2.\nAnswer: -5440\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 5*j - 1. Let q be z(-4). Suppose -5*l + 2 + 2 = -4*s, -2*l = 3*s + 3. Let m = s + q. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286661 and 3126759.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 5:47 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 13 = 31*q - 2*b, -5*b - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 51\/25, 1\/119?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = 2*m, -5*u - m + 67 = 0. Which is greater: u or 13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6. Which is the nearest to i? (a) 2\/3 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(2*g - 5*g + g)*(-3 + 3 + 3).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-133)\/627*-11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5948 = -30*i + 230*i - 788 - 1464 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88370 is divided by 2787.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**4\/24 + 4*u**3\/3 - u**2. Let j be (6\/5)\/((-6)\/(-20)). Let k be r(j). Solve s = -s + k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -1\/48*k**6 + 0*k + 6*k**2 + 0 + 1\/12*k**4 - 1\/20*k**5 - 1\/420*k**7 + 2\/3*k**3. Factor o(m).\nAnswer: -(m - 1)*(m + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -15720*r**4 + 379197*r**3 + 346998*r**2 - 48069*r - 150 = 0.\nAnswer: -1, -2\/655, 1\/8, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44*19\/1254*3*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4883\/(-190) - 2\/(-10). Let h = -25 - b. What is the nearest to 0 in 2\/9, h, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -398*b**3 - b - 2. Let o be ((-26)\/4)\/((-5)\/10). Let w = o - 14. Is r(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038073 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 20*l**2 - l + 10. Suppose 0 = k - 0*k - 20. Let p be a(k). Let y(w) = -w**3 - 8*w**2 - 11*w + 7. Is y(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.068 - 0.47. Let z = -14.564 - p. Let d = z - -8. What is d rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*w - 17. Let f = w - 5. Is 8 a factor of (f\/5)\/((-3)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*67.1.\nAnswer: -7.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.68 and -14587460241?\nAnswer: 14587460241.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y. Let r(t) = -360395169*t. Give h(r(b)).\nAnswer: 360395169*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2113 (base 4) to base 9\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 o when four letters picked without replacement from uggggopogwjjwu.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/605 and 53\/2178.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30832385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.7, -0.5, 2\/13, -6\/23, 9\/10 in decreasing order.\nAnswer: 18.7, 9\/10, 2\/13, -6\/23, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 6. Let g be x(-6). Let p be (-5 + 6)\/(1*-1). Let y = -2 - p. What is the second smallest value in -0.1, y, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1987*v**5 - 488*v**5 + 2494*v**5 + (0*v**4 - 2*v**4 + 0*v**4)*(0*v + 2*v + v).\nAnswer: 3987*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 94*c = -92*c + 16, 0 = 3*r + 5*c + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.028? (a) 0.3 (b) -5 (c) 3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689433561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 32 = -8*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 314*g + 6 + 60*g + 240*g + 242*g - 136*g in the form y + n*g and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 6*d**2 + 16*d. Let q be x(8). Is -11\/8 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2 + 2*w**2 - 6*w**2 - w**2 + 3*w**2 + 5*w. Let y(n) = -n - 6. Let u be y(0). Suppose -o = -2 + 3. Let p(d) = -d. Calculate o*h(i) + u*p(i).\nAnswer: 2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61628)\/(-1736)*(12\/(-15))\/((-2)\/5)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*u + 19 = 0, 1 + 1 = -u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2583 and 20295.\nAnswer: 142065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1643276 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -134, -206, -286, -374, -470, -574?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3, -17*a - 9 = -22*a - 3*u. Solve -3*g = -v - 10, a - 4 = -2*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 11:14 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/13 - 1754*c**2\/13 + 1752*c\/13.\nAnswer: 2*c*(c - 876)*(c - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*a - 4*a. Let h be (13 - 14) + -3 + 5. Let v = -3 + 3.4. What is the nearest to h in -1, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 12 + 150. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-402)\/78 - 6*(-40)\/(-715). What is the closest to 0 in 21, k, -2\/7, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/15 + 2*r\/15 - 8\/5 = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/669 or 1?\nAnswer: 41\/669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2329317044 divided by 4?\nAnswer: 582329261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30063?\nAnswer: 3, 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 1. Suppose -23*t - 80 = -11. Let j(x) = 2*x**2 - 5. Give t*j(l) + 15*d(l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -702652062216.300001533 + 702652062590. Let c = -373.7 + v. Round c to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237518 is divided by 79158.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 114. Let a = -111 - u. What is the third biggest value in -2\/9, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1002495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.11467, 3028.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3126*b**3 - 1. What is the units digit of h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86638 is divided by 7856.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/20 + 11*u**4\/12 - 5*u**3\/6 - 3*u**2 - 5*u. Is k(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*v + 3, 30 = 5*v - 2*r + 7*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11229.483036 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -19 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**2 - 12*p + 8. Let r(k) = k. Let d(o) = -6*r(o) - z(o). Let n(x) = -9*x**2 - 11*x + 15. Let u = -37 + 26. What is u*d(v) - 6*n(v)?\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1983602, 3967204, 5950806, 7934408?\n\"Answer: 1983602*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 437? (a) -0.4 (b) 18 (c) -3 (d) 107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -25*v**4\/12 + 6*v**2 + 55*v. Let p(r) = -12*r. Determine p(n(x)).\nAnswer: 600*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 3*n**2 + n - 4. Let m be x(6). Suppose -4*o = -6*o + m. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - a = 5*c + 23, -5*c - 28 = 2*a. Let y(q) = q**3 + 7*q**2 - 2*q - 2. Does 20 divide y(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 7. Let a be u(-5). Suppose c + 2 = 0, 0 = 3*z - a*c - 40 - 36. Suppose -6*w + z = -2*w. Solve -2*h - w = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477750?\nAnswer: 2, 5, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8890566kg to nanograms.\nAnswer: 889056600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, o: 3}. Give prob of sequence oo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 289.837 + -277.98. What is f rounded to 1 dp?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**4\/24 - a**3\/6 + 2*a**2. Let j be 1\/(-1*(-4)\/(-8)). Let y be 3 - (0 + (1 - j)). Give x(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*x + 3, 2*x = k + 3 - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*(-33 + (-3168)\/(-99)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/(-15) + 8\/(-40))*219 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 69 = 2*i, 3*i = t + 3*t - 136 + 196 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 1\/83, -2\/3561?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 12. Suppose -y - 1 = 1. Let c be 9\/(-18) + 25\/y. List the prime factors of v(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.3 - 7.4. Let r = i + -6. Put -0.3, 2, r in descending order.\nAnswer: 2, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 - (0 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + -60. Suppose -3*f = -2*y - 319 - 390, -4*y = i*f - 697. Is f a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x + 81. Let v be h(16). Solve -z + v - 4 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111110100100 - -10?\nAnswer: -1011111110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/544420708 and -55\/293541?\nAnswer: 1633262124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.28067*-0.01\nAnswer: 0.0228067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31212 and 1637712?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1464714723462.000000547 - 1464714722370. Let j = -1092 + n. What is j rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - m)*(3*m**3 - 5*m**3 + m**3) + (0*m**3 - 2*m**3 + m**3)*(-2*m + 4*m - m) + 83*m**4 + 44*m**4 - 24*m**4.\nAnswer: 103*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 8*y + 14. Let m be r(6). Suppose 5*p + 253 = m*z, 3*z - p = -2*z + 598. List the prime factors of z.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15155 is divided by 379?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 5*h**3\/3 + 3*h**2\/2 - 3*h + 9. Let u be r(2). Suppose -4*n + u + 113 = 0. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 2*x**2 + x + 1068. Let w be g(0). Suppose 2*z - 6*z = -w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j + 28. Let p be (0 - -1)*(-5)\/((-5)\/j). Solve 0 = 5*y - p - 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + (0 - (6 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-4 - (-8 - -2) - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*q - 115934 = -115960, p + 4*q = -20 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - 0.02. Let u = -796 - -795. Which is the second smallest value? (a) -2 (b) p (c) 2\/9 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from fcbbbcfbcbcbbbcb.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549, 639, 795, 1023, 1329, 1719?\nAnswer: 2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 - 105.94. Let n = q - 0.06. What is the closest to 1 in -0.2, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 10*l**2 + 6*l + 13. Let f be 27*-1*1\/(-3). Let s be w(f). What is the units digit of (0 + (-2)\/4)*s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**5 - 68*l**2 - l - 58. Let k(h) = h**5 - 69*h**2 - h - 60. Let a(s) = -7*k(s) + 6*y(s). What is the second derivative of a(c) wrt c?\nAnswer: -20*c**3 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*b + 45864 = 172*b. Calculate the remainder when b is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -9133*u + 9134*u + c, -56 = -u + 5*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = 5. Let y be (-1 + b)*(0 - -5). Suppose -3*m = -v - 70, -2*m - 82 = -y*m - 5*v. What is the greatest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1703 = 14*h + 1787. Let j(a) be the third derivative of a**4\/12 + a**3\/3 + 3*a**2. What is j(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89, -426, -981, -1748, -2721, -3894?\n\"Answer: n**3 - 115*n**2 + n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, y: 6, q: 2}. What is prob of picking 1 m and 2 y?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6)*-3*-4. Let v be -2*2\/(-2) - 0. Suppose 5*p - c = 4*i, -2*p + 3*i - i + v = 0. Solve o + 1 + p = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*k - 20 = -0*z, 3*k - 21 = -5*z. Sort z, 1, 4 in decreasing order.\nAnswer: 4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**2\/2 + s + 1. Suppose -t - 147 + 146 = 0. What is r(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/11813 - -956813\/472520. Calculate the common denominator of x and -47\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/7*c**2 + 8\/7*c**3 + 2\/7*c**5 - 64\/7*c + 32\/7 - 10\/7*c**4.\nAnswer: 2*(c - 2)**3*(c - 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54836\/13 + 4218. Let i = -2 - -1.7. Sort m, 0, 3\/2, i.\nAnswer: i, m, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*b)*(-4 + 4 + 6)*(2*b**2 + 172*b - 1 - 4130*b**3 + 4129*b**3 - 1) as u*b**2 + v*b**4 + d + w*b**3 + i*b and give u.\nAnswer: 2064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -19. Let v(g) = -2*g + 22. Let o be v(w). Let t(i) = -i**2 - 7*i + 8. Let p be t(-8). Solve 0 = -p*a + 2*a + o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (2 + 1534)) + 0. Is m\/(-5) + 8\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-3 + 3 - -3) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.38223 + -0.07.\nAnswer: 0.31223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -14. Let m = 1.2 - 5.2. Suppose r + 41 = 5*t + 14, -5*t + 29 = -2*r. What is the nearest to s in m, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from qpmpmppfpmm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 6*x**2 + 3*x - 9. Let t be (-2*(-4 - 2))\/(3 + -1). What is u(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 - 5*w - 4. Let g be h(-1). Let r be 3\/12*6\/g*10. Let f(n) = -n**2 - 4*n + 6. Calculate f(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 2:06 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(3*i - 2*i + i)*(15*i**2 - 1954 + 1954) + (2 - 3 - 1)*(-3*i**3 + 3*i**3 - 2*i**3).\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, -0.01, -2\/5, 4, 2 in decreasing order.\nAnswer: 140, 4, 2, -0.01, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137 - 2*j + 137 - 3*j to the form x*j + n and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27340 or 10191?\nAnswer: 10191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thlltoltltlntlt. Give prob of sequence ht.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5056, 5037, 5012, 4981, 4944?\n\"Answer: -3*v**2 - 10*v + 5069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -381*p**3 + 379*p**3 - p**2 + 13*p**2 to the form i + w*p + l*p**2 + z*p**3 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-nine quarters of a second?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1582 and 7344096?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2054, 8398, 18906, 33578, 52414, 75414, 102578?\n\"Answer: 2082*f**2 + 98*f - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*m - 30 = 102*m. Let n = 10 + m. Solve a = y - n, -y + 29 = -4*a + 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -303*w**5 + 3*w - 56 wrt w?\nAnswer: -6060*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10994 is divided by 101.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*h*i**4*z + 192*h*i**3*z - 2*h*i**2*z + 3*h*i*z + 3*i**4 + 83*i**2*z + 2*i**2 + 2*i wrt i.\nAnswer: 408*h*i*z + 1152*h*z + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 0*h + 5*h - 3*h - 5*h. Let q(f) = 8*f. What is q(g(o))?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -5, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(-1 + 1 + 1)*(40*m + 14*m - 6*m)*((1 + 1 - 4)*(4 - 4 - 2) - 3 + 3 - 1) as f*m + o and give f.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1140*y + 3042 + 5332 = -3047*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (17 - 19) + 1 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-162)\/12*4\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4740 and 53\/60.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/3, -2\/5, -4, -1542, -1\/8 in ascending order.\nAnswer: -1542, -4, -2\/5, -1\/3, -1\/8, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937*c**2 - 5 - 1932*c**2 - 6 + 11.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101011101011 + 11?\nAnswer: -100101011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9443899ml in litres?\nAnswer: 0.0009443899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3 + 3*s**2 + 12 + 2 - 2*s. Let f be x(5). Let z = -242\/3 + f. Calculate the common denominator of -21\/2 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210860.\nAnswer: 2, 5, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q*q**(-2\/3)\/q)\/q**(-23))**(1\/17))**(20\/7))**33 assuming q is positive.\nAnswer: q**(16060\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 3887.1?\nAnswer: 7774.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*f**2 + 2*f - 3253*f**3 - 12*f**2 - 1 + 899*f**3 - 146 + 61 wrt f?\nAnswer: -14124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4343473 is divided by 101011.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 1 + 1)*((-5*j + 0*j - 2*j)*(-j - j + 3*j) + 3*j**2 - j**2 + 2*j**2)*(2*j - 3*j - j) to g*j**2 + h*j**4 + l*j**3 + k*j + c and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -18. Suppose 4*j - q*j = 0. Let t(r) = -r - 17. Calculate t(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12881.41 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7869 divided by -129\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+1219.1\nAnswer: 1219.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4540825591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 23*f + 200 = 0. Let o = f - -75. What is the third derivative of 0*b**2 - o*b**6 + 38*b**6 - 5*b**2 wrt b?\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 4:39 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**5\/5 + 502*w**4 - 79726*w**3\/5 + 238898*w**2\/5 - 18828*w\/5 - 142848\/5 = 0. Calculate w.\nAnswer: -2\/3, 1, 3, 31, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 496761 > 18380124\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(sqrt(220)\/sqrt(5))**2 + -3)*-1 + 5.\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, -99, 2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = o. Let k be o - (-2)\/(-2) - -1. Let i be -32 + 35 + (-198)\/63. Which is bigger: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13441307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - 3*t + t)*((-4*t + 6*t - t)*(1 - 3 + 1) + t - 2*t + 6*t) to the form v*t**2 + p + m*t and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 8:07 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2116 - 6346\/3. Sort -2, -55, v in decreasing order.\nAnswer: v, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1913227, -3\/4, -6 in decreasing order.\nAnswer: 1913227, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-6))\/(-63)*15*1\/((-44)\/99)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -19. Let y(n) = -n**2 + 10*n - 13. Calculate the remainder when y(7) is divided by (1\/(-2))\/(q\/(-84)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2661.8154 microseconds?\nAnswer: 0.00004436359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -2*r**3\/3 - 128*r**2 - 8192*r - 713. Factor h(u).\nAnswer: -2*(u + 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31899, -31900, -31901, -31902, -31903, -31904?\nAnswer: -31905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = -105*i + 167*i + 33. Solve i*c - 27 = -31 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 70*a**4\/3 + 89*a**2 + 13. Let t(b) = -4*b**2. Give t(j(y)).\nAnswer: -1254400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769034.\nAnswer: 2, 7, 163, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyygygyyygy. What is prob of sequence ggy?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 3730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 71*h**6\/60 + 13*h**3 + 5*h**2\/2 + 26*h - 2. Let s(x) be the first derivative of m(x). Differentiate s(c) wrt c.\nAnswer: 426*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/3 - 2*h**3\/3 + 4*h**2\/3 + 2*h\/3 - 1.\nAnswer: -(h - 1)**2*(h + 1)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 8 = -4*m, -5*m - 14 = -3*a - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*r - 17*r - 18 - 7*r**2 + 9*r**2 to h + v*r**2 + u*r and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16335\/7 + 2333. What is the fourth biggest value in 1\/2, 0.4, u, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2968 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1070 - 963. Let a = -2889309.00114 + 2889202. Let y = x + a. Round y to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1360 and 1020.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -k. Suppose 0*i = -k*i - 4*f + 16, -2*i + 5 = -3*f. Is (i - -19)\/(1\/1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -1 + -5 - (-3 + 2*sqrt(153)))**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((235 + -231)*(0 - -1))\/(4\/3242)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.5821 decades to years.\nAnswer: 1245.821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161005585.\nAnswer: 5, 13, 911, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h**4 + 25183*h**3 - h + 170378 wrt h.\nAnswer: 108*h**2 + 151098*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7550 - -26?\nAnswer: 7576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 11*l - 630. Let i be 35\/l*(0 + -7)*-2. Let q = 3.6 - 1.6. Is i smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -5 (b) -3 (c) 761\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35267 + 3885 = -142*b. What is the least common multiple of 975 and b?\nAnswer: 16575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 1. Let j(y) = -2*y + 7. Give 4*d(a) - j(a).\nAnswer: -4*a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 - (-20 - 1). Let a = -56 - -38. Let z = u + a. Solve -o + 0*v - z*v = 17, 5*o - 2*v = 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/20 - 3*v**4\/2 + 77*v**3\/6 + 9*v**2\/2 + 15*v - 270. What is q(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, m: 1, k: 5, u: 3}. What is prob of sequence mkk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 118 + -1 + 4\/(-2). Calculate the greatest common divisor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2134, -9, -7, -5, -16, -1 in decreasing order.\nAnswer: 2134, -1, -5, -7, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112271?\nAnswer: 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 7) in base 4?\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -57, -51, -31, 9, 75, 173, 309?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2, -171, -9, 3 in decreasing order.\nAnswer: 4, 3, 2, -3, -9, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -417*f + 22790. Determine w(55).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.31253 + -3.68747. Which is the closest to -0.2? (a) -0.0551 (b) r (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 596*f**2*n + 7503*f**2 + 3*f*n wrt n.\nAnswer: 596*f**2 + 3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (50 - -36 - 82)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgbteebktgyg. What is prob of picking 1 k and 1 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-3))\/((-2)\/(-6)). Suppose -z - 12 = -5*k - 66, -4*z - 3*k = -32. Calculate the greatest common divisor of d and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65927, -65941, -65957, -65975?\nAnswer: -65995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36734, 147234, 331402, 589238?\n\"Answer: 36834*o**2 - 2*o - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 9. What is the common denominator of ((-8)\/f)\/((-24)\/158) and -97\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 609 and 2178248.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95161452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 463327623.80023363 + -8.80023363. Let y = u + -463327676.0000066. Let w = y + 61. What is w rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/35040 and 57\/2960.\nAnswer: 1296480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 9:47 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*k - 64*k + 32341 = -34634. Solve 5*w - 310 = -k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -0.22 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 21 - 6, 3*s = 3*f + 8*f - 49 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 - 7091*m - 70657. What is r(-10)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 3, 0.02, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - ((sqrt(19) + 2)*3 + sqrt(19)) - sqrt(19))*1)**2*4.\nAnswer: 192*sqrt(19) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 11*d + 2958 - 2950 + 0*d**2 - 2*d**4 to the form l*d + a*d**2 + v*d**4 + b*d**3 + z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5172? (a) -3 (b) 4 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 95 + -104 - (42 + -2)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -51. What is the units digit of (-2)\/14*a + (-472)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-540)\/(-72))\/(-15)*1\/(-3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from hhhhhhmhmmhhhhhhmhhh?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v + 3*v**3 + 101*v - v**3 + 238*v.\nAnswer: 2*v**3 + 348*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*d + 2. Find the third derivative of 34*c**d - 6*c**3 - 7*c**3 + 10*c**3 + c**3 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*(-20)\/(-36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 55, 100, 161, 244, 355?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - v - 42. Suppose -q = 0, 4*q = -c + 4*c - v. Let l = 4 - c. Is 1 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 85*h - 20 = -80*h, 2*o + h + 4 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556*p = 550*p + 210. Suppose -24*w = -p - 37. Let n(a) = -11*a + 3. Let k(j) = -198*j + 55. What is w*k(v) - 55*n(v)?\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h = 2*h - 33 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5170, 0.07, 3, -0.03, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2778 < -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6792629 + 1.887596. Let r = 1.7916717 + d. Let a = r + -2. Round a to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 14. Let n = 321 + -234. What is the remainder when n is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*y + 6 - 60 = -247*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 + 230. What are the prime factors of j?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-195))\/(-2)*((-86)\/10)\/(160\/1200).\nAnswer: -86\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) -59 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 7:36 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1, -3 in decreasing order.\nAnswer: 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 4*d - 6. Let n be m(-4). Suppose 0*b + 2*b = n. Calculate the remainder when 25 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4927 - 3034. Suppose 0 = -3*y + 5*t + b - 59, -4*y + 2449 = -3*t. What are the prime factors of y?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q. Let r(m) = m - 14965. Determine l(r(d)).\nAnswer: 5*d - 74825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -383, -760, -1137, -1514, -1891?\n\"Answer: -377*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a factor of 76887772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50423940 to the power of 1\/2, to the nearest integer?\nAnswer: 7101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/16 + (-10)\/(-8). Suppose 3*a + 20 = -s*a, 20 = -2*g - 4*a. Let z(u) = -5*u - 7. Let m be z(g). Calculate the highest common factor of m and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122910 is divided by 9416?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139037 and 1037097?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 10. Let k(u) = 2*u**2 - u. Let d = -4 + 2. What is the lowest common multiple of k(d) and g(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38811659 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and -0.4.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2241, 2253, 2267, 2277, 2277, 2261, 2223, 2157?\n\"Answer: -d**3 + 7*d**2 - 2*d + 2237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12707, -27038, -42999, -60590, -79811, -100662, -123143?\nAnswer: -147254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*i - 70 + 70 to the form k + c*i and give c.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495*s - 24775 + 502908 = -80722. What is the remainder when s is divided by 1118?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h = -0 + 19 + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, 1818?\nAnswer: 1818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 3) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-1)**2 + sqrt(343) + 0.\nAnswer: 7*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 37*t + 265. What is the lowest common multiple of 36 and q(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3998 - -3992. Let z(s) = s**3 + 8*s**2 + 9*s + 17. Determine z(g).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + (-6)\/(-4). Suppose 7 = 3*t + u. Solve 1 - 8*x - 9 - t*x**2 + 0*x = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.2797259 to one decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -152661390.3 to the nearest ten thousand.\nAnswer: -152660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 131, 1240, 4313, 10340, 20311?\n\"Answer: 165*q**3 - 8*q**2 - 22*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800.061cm to meters.\nAnswer: 8.00061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) - 21\/(-6). Suppose 4*h + 4*f = -0*h - 16, -m*h = -f + 20. Let q be (2 + h)*2\/(-4). Which is bigger: 1\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*a**6 + 164*a**4 + 38229*a**2 wrt a.\nAnswer: 7680*a**3 + 3936*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 704 - 701. What is the second derivative of -12*g**4 + g**f + 38*g**4 - 112*g - 73*g**4 wrt g?\nAnswer: -564*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 - 3*v**3 - 3*v**2 - 47 + 141 - 56 to the form j*v + u + q*v**2 + o*v**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 4, r: 4}. What is prob of sequence brb?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 19 = 6*x + 2*z, 2*x - z - 13 = 0. Suppose x*t = 4*n + 28, 2*t - 3 - 3 = -n. Let g(v) = 2*v - 6. Calculate g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1116\/8 + (-3)\/(-6). Round i to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**1)**(6\/13))**(-3\/25))**34)**(1\/41) assuming z is positive.\nAnswer: z**(-1224\/13325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-8.6\nAnswer: 3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 5. Suppose c + s + 13 = -0*c, 2*s = -6. Let j = 15 + c. Sort u, -4, j.\nAnswer: -4, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.088 * -0.13.\nAnswer: -0.01144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 2*c**2 + 8*c + 3. Suppose 4*k = 2*i, -5*k + 2 - 28 = 4*i. Let b be y(i). Let w = 4 - 0. Solve b*p - w = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50758801.\nAnswer: 151, 336151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3 - 3. Let m(d) = d**2 + d. Let t(j) = j. What is h*t(x) + 2*m(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1388 and 73564.\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5*b**3 + b**4 - 3*b**4 - b + 0*b in the form d*b**2 + l*b + i + p*b**3 + s*b**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8 + 1 + 0 + 10*h - 8*h - 5*h. Let u(b) = 41*b. Calculate p(u(k)).\nAnswer: -123*k - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 46*y**2 + 268*y - 2548. Give l(41).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/3 + 96*m + 292\/3.\nAnswer: -4*(m - 73)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5 + u**2 + 3*u - 8 - 6 + 4*u. Let j be z(-8). Put -6, -0.4, j in decreasing order.\nAnswer: -0.4, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 7 (c) -3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 0.4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43212, 86396, 129580, 172764, 215948, 259132?\nAnswer: 302316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1\/9, 0.053 in decreasing order.\nAnswer: 1\/9, 0.053, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**4 - 1883*y**3 - 24424*y**2 wrt y.\nAnswer: 48*y - 11298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zttttttztztztztt. Give prob of picking 3 t.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/12 - m**3\/6 + m**2\/2 - 269*m. Let j(z) = -5*z**3 - 3*z**2 - 3*z + 3. Determine j(d) - 3*s(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1169 and 37639.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*k = -23 - 12, 3 = -h + k. Calculate the remainder when h\/(-2 + (-48)\/(-21)) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 230*a - 22. Let r(d) = 347*d - 31. What is -5*r(t) + 7*u(t)?\nAnswer: -125*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/574 and -5\/454524.\nAnswer: 18635484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*f + 3*f. What is the second derivative of n**3 - f*n**4 - n - n**3 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 2*u**2 + u + 0*u)*(2 + 0 + 1).\nAnswer: -3*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = 15. Put -5, w, 0 in descending order.\nAnswer: w, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 3*u + 2.\nAnswer: (u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -233 + 263. Suppose r*u - 25*u = -3050. What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1205, -2427, -3649, -4871?\n\"Answer: -1222*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 65 = -3*h - 0*t, 2*h + 5*t = -10. Let m be (-2)\/(2\/(-2)) + (29 - h). What is the greatest common factor of 115 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 4. Suppose -2*u = -3*n - 5 + 1, 4*n - 2*u = -2. Let l(a) = -a + a + a**n + 5. Let m(g) = -g - 3. Let c be m(-5). Determine c*l(q) + 3*w(q).\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 6 = 3*j - j - 0, 0*v = -3*v + 42 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Let r(c) = c**2 - 7*c + 8. Let o be r(6). Let d(l) = o - 4*l**2 + 2*l**2 - 2. Calculate d(v(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21685794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 85*u + 521. What is x(-76)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-1))\/((-1284)\/1605).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 345692706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 + -93. Suppose -2*c = -3*c + 14. Suppose 0 = 13*x - c*x + 18. What is the remainder when j is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191255899 to the nearest integer?\nAnswer: 13830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1190, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -11 + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6308643*r**5 + 38*r**2 - 32005*r wrt r?\nAnswer: 378518580*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 + 59*p**2 + 31*p - 150. Let v be a(20). Suppose -4*h + 140 = -20. Calculate the greatest common divisor of v and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. Suppose 0 = -q + v*u + 6, 3*u - 35 = -2*q + 10. Calculate the highest common factor of 36 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.69? (a) -2\/9 (b) -14 (c) 0 (d) -0.3 (e) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109826.4 centuries to years.\nAnswer: 10982640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 571 - -245. Suppose -a = -3*y - 5*y. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 - 342.07. What is the closest to -6 in -1\/4, -0.2, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 17*k**2 + 1\/6*k**3 + 7*k + 0. What are the prime factors of s(-16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 0.2.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 19. Suppose -b - 3 = 0, -5*b = i + i - 19. Let l be w(i). Suppose l*p + 4*d - 54 = 0, 3*p + 3*d - 103 = 8*d. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.65 - -52. Let k = u + 4.65. Which is the third biggest value? (a) -1 (b) -1\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 494\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 2. Let k(x) = x - 1. Let b(h) = 7*k(h) + 6*w(h). Let s be b(-3). Let l(i) = 3*i**3 - 2*i**2 - i - 2. What are the prime factors of l(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r**(6\/7))**39)**(2\/13) assuming r is positive.\nAnswer: r**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27262593 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -13. Let z be h - (4 - 3) - -2. Solve -3*x = -2*x - z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose 113*z - 104 = 685 + 680. Solve -m + z = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 127, -4, -0.04, -3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - 24*a - 8. Determine l(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0 + 0 + (0*v - v - v)*(0 + 2 - 4))*(14*v**2 - 149*v**2 - 28*v**2).\nAnswer: -815*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.164172 at least as big as -6551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6 - -1) + 0 - -3) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 3*y + 1. Let z be q(4). Suppose 3*d - 2*u - 234 - z = 0, -3*d + u + 269 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22814121349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7 - 8 = 0. Suppose -v*t = u - 35, t + 45 = u + 6*t. Suppose 3*z - u = -2*z. What is the greatest common divisor of 36 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.1 + -4.6. Which is the third smallest value? (a) -0.01 (b) -5 (c) -0.8 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2 - 0) + 1. Suppose z + z - 2172 = h. Let r = z + -1536. Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 8*s - 49. What is o(18)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(2 + -5) - (-15 + -5). Calculate the greatest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((28616\/657)\/(-49))\/(7\/9)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 701 + -701.2. Let x = 3\/163 + -371\/2445. Which is the fourth biggest value? (a) 5 (b) x (c) 2\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2*d**6\/3 + 4*d**5\/5 + 2*d**4 - 8*d**3\/3 - 2*d**2 + 4*d - 23. What is g in k(g) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 302 + -218. Let b be i\/((7\/7)\/(2\/3)). What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25914223 is divided by 5561?\nAnswer: 5524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 10. Suppose -4*n - a - 4*a = 10, -2*n - q*a = 4. Solve -2*d + b = -1, -2*d - 2*d + b + 3 = n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127237393?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4 = -4*n + c, 3*n - 18 = -3*c. Suppose q = 5*y - 82, 3 = -n*q + 9. Calculate the greatest common divisor of y and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l - 130 - 23. Let q = l - -208. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77130 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -47, -3\/131, 3\/4, 4, -0.1, -3?\nAnswer: -3\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4712.3 - 6620. What is m rounded to the nearest ten?\nAnswer: -1910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45 from -297938.\nAnswer: -297983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422 by 4196.\nAnswer: -211\/2098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 91. Let r(y) = -20*y + h + 1 - 2*y - 6. Let f(j) = -11*j - 2. Let l(v) = -11*f(v) + 6*r(v). Let m(x) = -5*x + 2. Calculate 2*l(i) - 5*m(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 6*w - 4*w + (3*w + 4*w - 6*w)*(2 - 5 + 1) + 3*w - w - w + 0*w + 0*w - 6*w)*(-4 + 1 + 2)*(2 - 1 + 4).\nAnswer: 55*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + p + 0*p + (-4*p + 4*p - 2*p)*(4 - 5 + 5) - 3*p + 0*p - p + (-2 - 1 + 1)*(p - 2*p + 0*p) - 22*p + 21*p - 12*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -850.598 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2\/57, -2, 213, -0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.1 * 5.\nAnswer: -15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 641*h**6 - 121*h**3 - 80*h**2 - 1166?\nAnswer: 76920*h**3 - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415, -856, -1297, -1738, -2179?\nAnswer: -2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134 - 115. Suppose -14*r + 9 = -j. Solve -r*y = 2*y - 8, -4*n - 14 = y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -449, -5, 0, -2 in decreasing order.\nAnswer: 18, 0, -2, -5, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 + 6*y. Let l be c(-4). Let m(a) = -a**3 + 9*a**2 - 7*a. Let p be m(l). Let f = 15 - p. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01933 to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186459 + -186319. Let g = -93 - -401. What is the greatest common divisor of r and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/(-440) + 64\/(-1280))\/((-3)\/15). What is the second smallest value in 4, 99, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 3*f - 2*f)*(-6 + 4 - 2)*(-2*f**2 + 3*f**2 + f**2)*(-4*f + 0*f + f).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = 0, n - 12 = 2*a - 3*n. Let t be 1\/a*(2 - 0). Solve k + 5 = -4*k, 2*k = -f + t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 5}. Give prob of picking 1 s and 1 c.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.9 (b) 389 (c) 2\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2343b (base 13) to base 4.\nAnswer: 33232313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 - 0.189994. Round d to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:52 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2789 + 2805. What is the highest common divisor of k and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 664 - 416 = 0. Calculate the common denominator of 3738\/w - (-8 + 1) and -81\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 6*w - w**2 + 9*w**2 - 3*w. Let y be o(2). Let m = 87 - y. Calculate the highest common divisor of m and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 24*g + 64. Let x be o(0). Calculate the greatest common divisor of 304 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772 + 772 + 4*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707287651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 138*a**3 + 29*a**2 + 7*a - 4. Let o(v) = -137*v**3 - 30*v**2 - 10*v + 6. Let j(f) = -6*i(f) - 4*o(f). What is the third derivative of j(b) wrt b?\nAnswer: -1680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00084044927 rounded to 6 dps?\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 - 3*s - 5. Let f(g) = -28*g - 24. Let n be f(-1). Give l(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 51 + (6 - (43 - 6))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4\/5 - 171156*z**3\/5 + 3646859632*z**2\/5 + 639868389696*z\/5 - 2617812359424\/5 = 0.\nAnswer: -178, 4, 42876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056117 is divided by 148?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59002.\nAnswer: 2, 29501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 2. Let p be j(3). Let r = p + 1. Solve h = -5*q + 22, -q + 3*q + h - 7 = r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5895.402 centimeters in micrometers?\nAnswer: 58954020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119314483345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, and 1 r when three letters picked without replacement from rvbvby?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4.6. Suppose 0 = 59*z - 56*z - 12. Let j be -1 - (-27)\/6 - z. What is the smallest value in 5, w, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18, -33, -82, -129, -174?\n\"Answer: i**2 - 54*i + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 223*w - 7484. Determine p(15).\nAnswer: -4139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 221 - 111. Suppose 3*m - 91 = y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 10*c - 6. Let a be z(-4). Let l(w) = 2*w**3 + w**2 - w - 2. Let o be l(a). Is (-3507)\/(-11) + o\/88 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -70. What is the greatest common factor of z and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 61202*s**2. Let o(n) = -n. Give o(z(x)).\nAnswer: -61202*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 2*h**2 + h + 2. Let u be (2 + 1)\/(6\/(-4)). Give d(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.9847 - -0.0153. Which is the fourth biggest value? (a) 0.1 (b) v (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13849)\/(-330) + -13 + -29)*10\/32?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:49 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 - -0.12?\nAnswer: 3.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 9*d + 28. Let z(p) = -2*p - 1. Let g be z(3). Let n be 0*(-3)\/(-6) + g. Put n, d, -4 in ascending order.\nAnswer: n, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1743\/4 or 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**8)\/(p\/(p*p**(1\/3))))\/(p**(-3)\/(p*p**(2\/3)*p)))\/((p\/(p\/(p*p**(-4)))*p*(p\/(p*p\/(p\/p**(-5\/7))))\/p)\/(p\/p**(-1))**(4\/3)) assuming p is positive.\nAnswer: p**(83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 + a + 3. Let q(r) = -6 - 14*r**2 - 3*r + 4 - 6. Calculate 8*l(t) + 3*q(t).\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/(-2 - 0). Let z = -1.06 - 4.84. Let p = 6.2 + z. Which is the fourth biggest value? (a) -1\/10 (b) 2\/11 (c) p (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9496, 22152, 34808, 47464, 60120, 72776?\nAnswer: 85432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**5 + 56263599*u**3 + 385971*u + 102 wrt u?\nAnswer: -20*u**3 + 337581594*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2*31.35\nAnswer: -62.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4 - 78*b**3 - 2*b**2*z**2 + 2*b*z**2 - b - 150 wrt b?\nAnswer: 24*b**2 - 468*b - 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126.44 - 131.639744. Let d = h - -5.2. What is d rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141943990 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbaaaxtttxktybtkyta. Give prob of sequence ayk.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2044011*-0.75.\nAnswer: -0.153300825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*m + 17 = 0, 0 = -m + 2 - 3. Let u(g) = g + 1. Let w be u(4). Suppose -y - 8 = 3*y. Sort w, y, k.\nAnswer: k, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 2\/3, -3697\/28, -1\/2, -4 in increasing order.\nAnswer: -3697\/28, -4, -1\/2, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2034, -2033, -2032?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - j**2 + 0*j**2 + 4*j + (-3 + 3 - 2*j)*(2 + 7*j - 2) in the form q*j**2 + c*j + h and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) - ((-86)\/516)\/((-1)\/(-100)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1350371\/128 + -10550. Find the common denominator of i and 117\/574.\nAnswer: 36736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14262268 and 0.022937.\nAnswer: -14262267.977063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/56355 and -181\/771630.\nAnswer: 10031190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 682640.3 kilograms in nanograms?\nAnswer: 682640300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -2*b**2 - 11*b - 1038. Calculate h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from cddcddckvdcddccck.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -969\/23 (b) -2\/13 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144168 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 31*k**2 - 2*k - 3. Suppose -1013*z + 33176 = 263*z. Calculate the remainder when n(-2) is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 11*i. Let k be j(-11). Let g(f) = 2*f - 74 + 0*f**3 + 39 + f**3 - 20*f**2. Let n be g(20). Solve k = -q + v + 8, -n*q + 2*v + 28 = -0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 6, v = -t + 5*v + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558680 is divided by 519557.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*t**3 + 3*t**2 - 3*t**2 + 4*t**3 + t**3 - 3*t**3 + (2*t**2 + 2*t**2 - 2*t**2)*(3 - 2*t - 3) - 3 + 3 - 1 - t**3.\nAnswer: 12*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 4*k + 8*k)*(267 + 3*k - 272 + 3*k).\nAnswer: 36*k**2 - 30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.19 and -98142376780.\nAnswer: -98142376778.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 209693579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19897296, -39794624, -59691952?\nAnswer: -79589280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6999 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223 - 181.1. Let p = j + -42. What is the closest to p in 1\/5, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2. Let y(l) = -3206*l. Determine y(r(p)).\nAnswer: 12824*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:29 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:41 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/(-66) - (-5)\/(-6) - 0. What is the closest to -16 in w, 0.4, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/23 - 6488*w\/23 - 363318\/23 = 0.\nAnswer: -3187, -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00615 to four decimal places.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*w = -127*w + 41*w + 4212 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-13 - 4) + 20 + -15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, b: 2, q: 1, j: 5, c: 1, l: 3}. What is prob of sequence jbbq?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*t + 20 = 0, 25*t = -5*l + 30*t - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124549 - 80832273\/649. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 (base 13) in base 10?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*y**4)*(2 - 69*y + 50*y - 75*y)*(3 - 2 + 1)*(-2 - 3 + 7).\nAnswer: -752*y**5 + 16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-39)\/(-13) - 13 - (-2 - 34981)?\nAnswer: 41, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-390)\/45)\/26*30\/6*-15?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 6*w**2 - 3*w - 4. Let l be d(5). Let q(a) = l*a + 2*a - 13*a + 4*a. Let p(c) = 7*c. Determine q(p(o)).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 1321*x - 3941. Calculate u(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44261 + -25917. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73446125 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**2 - 7*h**3 + 21*h**3 - 7*h**3 + 4*h**2 wrt h.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162725\/836 + -292\/209. Let d = -647\/4 + q. Find the common denominator of 63*(-1)\/4 + -2 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002412442027 to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5709.\nAnswer: 3, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/12 + (-34)\/(-12). Suppose 34 + 11 = z*c. Solve 9*v + c = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6324*m - 6267. Calculate p(-1).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1725 - 2?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g. Let p = 6 + -4. Let t be (3 - 1 - -36) + p. Let m(w) = -t + 40 - 2*w. Give h(m(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1757773 and 3725?\nAnswer: 1754048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*g**3*l**2 - 1315296*g**3*l + 9*g**2*l**2 - 18*g*l**2 - 16010*g*l wrt g?\nAnswer: -36*l**2 - 7891776*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124208*d + 124076*d - 248419*d.\nAnswer: -135*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14346 (base 7) in base 14?\nAnswer: -1626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*t - 24*t - 16*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/72 and 59\/7029144.\nAnswer: 7029144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 109731048131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/275 in 10\/7, 4\/55, 1\/4, -2\/9, 1\/7?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 16 = 4*g, -2*g + 0*g - 8 = 3*f. Solve 0*l + g*l = -3*n + 4, -15 = 5*l - 5*n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/360 - 23*j**4\/144 - 11*j**3\/18 + 111*j**2. Factor p(r).\nAnswer: -(r + 1)*(r + 22)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*4\/(-80)*-4. Let x = -46 + 52. Suppose 2*v - x*v + 17 = k, 2*k = 5*v - 18. Which is the closest to 0? (a) v (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(209)*-1*-5 - -1*sqrt(209)*2))\/(1*sqrt(891)*-2*4).\nAnswer: -35*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 62*c + 238 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 11*s + w + 121, -w = -3*s + 91. Calculate the greatest common factor of 285 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:21 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c + 42. Let d be p(23). Suppose -r = 3*q - 206, 4*q - q = -4*r + d. List the prime factors of q.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1378, -2712, -4012, -5284, -6534, -7768?\n\"Answer: -z**3 + 23*z**2 - 1396*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3))**(-5))**9*(q\/(q**0*q))**26*(q\/q**(-1))**(-22\/7) assuming q is positive.\nAnswer: q**(-254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236 - -117. Let x = z + 197. Let s = 1 + 25. What is the highest common divisor of s and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 7) to base 10\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -35*a**2 - 1 - 49*a**2 + 47*a**2 + 2*a - 7*a - a**3. Let y be f(-37). Which is smaller: 183 or y?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-19)*c*(c*c*c**0)\/c)\/(c\/(c**1\/c*c))**(-15) assuming c is positive.\nAnswer: c**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 88\/5, -2, -0.2, 4.783 in descending order.\nAnswer: 88\/5, 4.783, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3662905382.\nAnswer: 2, 379, 4832329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/120 + 3*z**5\/20 - 35*z**4\/24 + 2*z**3\/3 + 8018*z**2. Give r(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3738.294 litres?\nAnswer: 3738294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, 2, 4 in descending order.\nAnswer: 4, 2, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 25*g - 264. Give x(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 142 = 3*b - 7*b, 3*h = 3. Suppose 0 = 3*v - f - 4*f - b, -4*v + 4*f + 60 = 0. Calculate the highest common divisor of v and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1487*-3.2.\nAnswer: -4758.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1806520, 3613047, 5419582, 7226125, 9032676, 10839235, 12645802?\n\"Answer: 4*t**2 + 1806515*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1634641419 to the nearest integer?\nAnswer: 40431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - 2*i + 1. Let m be u(1). Suppose 0 = -d + 699 + 1670. Suppose m*q - 22 = d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 2*w + w + (-1 + 0 + 0)*(w - 2*w + 3*w + (-2 - 2 + 2)*(0 + 0 - 2*w) + 5 - 5 + 2*w) to the form d*w + o and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1. Let i(q) = q - 2*q + 0*q - 9. Calculate -6*g(b) - i(b).\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - ((-42)\/(-1134) - ((-654)\/(-162) - -2))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 7*r**4\/24 + 2*r**3 + 76*r**2 - r. Let q(p) = -48*p - 81. Let n(h) = 4*q(h) + 27*s(h). Let j(u) = 11*u**2. Calculate j(n(a)).\nAnswer: 99*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*p + 3690 = -193*p. What is the nearest to 0.1 in -0.04, -2\/11, 1, p?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/12 in 0.3, 3, -1\/10, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/5850 and 88\/18525.\nAnswer: 111150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 3*r + 175 = 0. Solve r - 5 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/28 and -59\/678992.\nAnswer: 4752944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s + 653 + 521 = -881 + 66 for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 228 = 21*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7833*a**4 + a**3 - 35532*a?\nAnswer: 93996*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 8*h - 80 = 0. Suppose 14*i - h - 22 = 0. Solve -2 = r - 2*y + i, -4*r = y - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 19*b**5 - 45*b**4\/8 + 45*b**3\/2 + 413*b**2. Let a(s) = 17*s**2 - 2*s + 2. Calculate -135*a(r) + 2*j(r).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 19*p**2 - 14*p + 17. Let g(t) = -9*t**2 + 7*t - 8. Calculate 13*g(l) + 6*i(l).\nAnswer: -3*l**2 + 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70.8 - -65.93. Let m = 8.13 - 8. Let j = o - m. What is the second smallest value in 0.02, j, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123539 is divided by 228.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10170 divided by 2034.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**6\/30 - q**5\/2 + 11*q**4\/4 - 20*q**3\/3 + 8*q**2 + 15*q. Factor r(c).\nAnswer: (c - 4)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2461319 (base 12) to base 6\nAnswer: 412014033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27595, -77, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-46)\/(-42) - 1) + 3138\/126. What is the derivative of -28 + k + 2*t**2 - 11 - 37 - 25*t**4 wrt t?\nAnswer: -100*t**3 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*g*s**2 - g*s + 348*g + 2*s**2 - 15*s + 2 wrt s?\nAnswer: 10*g*s - g + 4*s - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 85*q**2 + 3*q. Let n be 9\/4 + 11\/(-44). Let h be o(n). Let c = -179 + h. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -129796*y + 129772*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -13. Suppose -5*p + 2*f + r = 0, 4*p - 2*f + 1 = 7. Sort p, -2, 0.\nAnswer: -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*r**4 + (-2*r + 2*r + 2*r**4)*(-1 + 1 + 2) + 3*r - 3*r + r**4 - 39*r**4 - 38*r**4 + 12*r**4)*(4*r - r - 2*r).\nAnswer: -58*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/(48\/40)*(-2)\/20?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 + 2 = 0. Let d = -3 + 7. Suppose -d*p = -8*p + 16. Solve 3*k - k - 10 = -2*v, -l*v = -p*k + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18495627 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 28, 3 in increasing order.\nAnswer: -4, 3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/20 - (-7)\/(-20))*-4. Suppose -7*v + g*v = 0. Suppose 3*j + 15 - 15 = v. Sort 1, j, -3 in descending order.\nAnswer: 1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142112755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y - i = -2, -5*i = -3*y + 22. Suppose -1440000 = -4*p - y*p. What is p rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*g = 814*g - 1643*g + 3094 for g.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (56\/(-364) + 196\/(-78))\/1. Suppose -3*k + 5 = r, -3*r - 1 = 4*k - 11. Sort -4\/3, k, -0.07, m.\nAnswer: -4\/3, -0.07, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*b + 3988, -v + b + 1992 = 2*b. List the prime factors of v.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 14, 299.\nAnswer: -4, 3, 14, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 1 + 3)*-6 - (1*(((sqrt(128) - (-1 + sqrt(128) - sqrt(128))) + sqrt(128))*5 + sqrt(128)))**2) + 4.\nAnswer: -15533 - 928*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47645.72ng in kilograms?\nAnswer: 0.00000004764572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 19. Let l(o) = -o**2 - 7*o - 7. Let m be l(-5). Solve -v = -m*v - c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {m: 2, a: 1, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 20*o**2 - 13*o + 166. Let w be m(-21). Let i(a) = -22*a - 4. Let v(z) = -11*z - 2. Calculate w*i(y) + 5*v(y).\nAnswer: -11*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -330, -666, -1002, -1338, -1674?\n\"Answer: -336*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10361 times 0.7\nAnswer: 7252.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and 82.8?\nAnswer: 99.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087809 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -538 + 1717. Calculate the lowest common multiple of 15 and m.\nAnswer: 5895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/405*12*(-5)\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -487024*y**2. Let f(h) = -8*h. Calculate f(i(n)).\nAnswer: 3896192*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1286 divided by 1286.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 6*q**2 + 5*q + 5. Let j be o(5). Solve d = -j + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11473 - 5651. What is the greatest common divisor of b and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5\/9 - 16*f**4\/9 - 64*f**3\/9 - 28*f**2\/9 + 62*f\/9 + 44\/9 = 0.\nAnswer: -2, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:55 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29963 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 486471 from -2.9.\nAnswer: -486473.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -19*j**2. Let w(h) = 4*h**2 - 542*h - 144. Calculate w(d(i)).\nAnswer: 1444*i**4 + 10298*i**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*t = 49, 3*v - 14 - 25 = 5*t. Solve 0*w + v = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**3\/6 + 4*v**2 - 21*v. Let o be k(-5). Suppose -5*u - h = -1285, -o*h = u + u - 527. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 632273, 1264516, 1896755, 2528990, 3161221?\n\"Answer: -2*c**2 + 632249*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 183?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 116*i**3 + 4*i**2 + 7*i + 2. Determine c(-1).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 58. Let m = b + -31. What is the second biggest value in -4, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570039109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*((-3)\/4 - 2842\/(-56)). Calculate the highest common divisor of l and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:17 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (14 + -14 - (-6 + 54))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23110 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 495?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -9. Let m = r + -7. Suppose m*w - 165 = -w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*l - 37*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 5*o**2 + 5*o + 4. Let z(l) = 26*l**2 - 7 - 54*l**2 + 17*l + 27*l**2. Let m be z(15). Let j = m + -27. Determine w(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*u**3 + 64*u**2 + 236*u - 1107844 wrt u.\nAnswer: -12*u**2 + 128*u + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 40425164*l + 204274235553362.\nAnswer: 2*(l + 10106291)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u**3 - 10*u**3 - u**3.\nAnswer: 37*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2. Let c be t(-1). Let i = c + 2. Factor 16*m**2 - 2*m**3 - 4 + 4*m**i + 2*m + 8*m**3.\nAnswer: 2*(m + 1)**2*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37855551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2695?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 11*n - 485. What is x(50)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((0 + sqrt(1100) + sqrt(1100))**2 + -2)*6 + 3).\nAnswer: -26391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -284528 or -284527?\nAnswer: -284527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22220 + -3?\nAnswer: 22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 3. Suppose 2*f + 0*u - 78 = -4*u, g*u = -4*f + 171. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61827 and 7992?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -16*n - 4015*n**2 + 4016*n**2 - 21*n - 225*n = 0.\nAnswer: 0, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 16*o + 2*o - 10*o + 3*o - 2*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59248448*5.\nAnswer: 296242240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37527874 by 2207522.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aziipzjii. Give prob of sequence zaii.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 3*o)*(33*o + 142*o - 46*o).\nAnswer: -387*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 4*o**2 + 3*o**2)*(7*o + 6*o + 8*o)*(-3 + 1 + 0).\nAnswer: 84*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2 (b) -5 (c) -3 (d) 2\/17 (e) -2398 (f) 1 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10203+-0.17\nAnswer: 10202.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147479306.\nAnswer: 2, 13, 149, 38069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 6*c + 0*c + (-5 + 0 - 9)*(-2 + c + 2))*(6 - 4 + 0).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -5\/2 (b) -3 (c) 1 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrt when four letters picked without replacement from {r: 7, t: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n + 35. Let u(i) be the first derivative of 0*i**2 + 31 + i + 1\/3*i**3. Let z(o) = -c(o) + 5*u(o). Factor z(v).\nAnswer: 5*(v - 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 3*q**2 - 9*q - 27. What is f(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -1\/5*c**5 + 1\/4*c**2 + 0*c - 1\/12*c**6 - 2 + 1\/3*c**3 + 0*c**4. Factor m(l).\nAnswer: -l*(l - 1)*(l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**4\/4 + 13*d**3\/3 + 5*d**2\/2 - 29*d + 7. Is q(13) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -9. Let u = i + 13. Suppose 9*z - 7*z = 0. Are u and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 3.4. Let s = 2.5 - w. Let r = 2.1 - 2. What is the closest to r in s, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -226, -201, -156, -85, 18?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 9*f**2 + 8*f - 5. What is t(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (9 + -7708*(-10)\/(-20)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -913 + 2198. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = 6*d - 20. Let o be (-42)\/(-357) + (164\/d)\/4. Factor -2\/5*s + o*s**2 + 0.\nAnswer: s*(3*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -29\/3*l**3 + 0 + 0*l**4 - l**2 - 1\/60*l**5 - l - 11\/60*l**6. Differentiate s(u) wrt u.\nAnswer: -66*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4, 2*x + 156 - 547 = -5*i. Let m = -32 + x. Suppose 7*h - m = 5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 0 + 0*j**3 - 3\/20*j**5 - j + 1\/14*j**7 - 1\/4*j**4 + 0*j**2 + 1\/10*j**6. Let l(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c + r - 21 = 0, 13 = 3*c - 2*r. Suppose -2*m = -5*x + 60, -5*x = -10*x - c*m + 25. What is the remainder when 18 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18177755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 58*c**2 + 9*c + 58. Let v(i) = -116*i**2 - 16*i - 114. Give 7*h(b) + 4*v(b).\nAnswer: -58*b**2 - b - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (3 - 0) + 0. Suppose f - 153 = o*f. Let t = -100 - f. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -8) + (-1 - -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 4. Let s be (4 - 8\/2)\/2. Suppose 2*v + s*y - 42 = -5*y, 0 = 4*y. What is the remainder when v is divided by p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.024 and -4.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 105*p**2 + 29 - 9*p**2 - 55.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15. Suppose u + 1 = -5*m + m, v*m + u = -1. Suppose m = 5*r - 4*r - 59. List the prime factors of r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*y + 6. What are the prime factors of 18\/4 - (-2)\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193\/3 + 10\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14795774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/6)*k**14)**(-16\/5) assuming k is positive.\nAnswer: k**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868895.5mm to centimeters.\nAnswer: 86889.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4844331, -4844274, -4844179, -4844046, -4843875, -4843666, -4843419?\nAnswer: -4843134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 - (-215)\/45. Let u(g) = -1 + 4 + 4 - 4*g + 3*g. Let o be u(5). Solve -h*l + 22 = -o*f, -3*l + 20 = l - 4*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4519+-8275\nAnswer: -12794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l. Let h(r) = -6*r - 6. Let c(w) = 1. Let o be (-23)\/4 + (-1)\/4. Let p(u) = o*c(u) - h(u). Give j(p(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*l - 199 = 7*l - 4063 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6424 - -6795. Solve 366 = 5*m + o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k + 21*k - 22 = 2*p, -4*k + 32*p + 144 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + 2*d + 5. Let x(r) = -8*r**2 - 22*r + 1. Let v(a) = -22*a**2 - 62*a + 2. Let f(l) = 5*v(l) - 14*x(l). What is 7*f(h) + 6*z(h)?\nAnswer: -4*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9627634 (base 10) to base 7\nAnswer: 144555622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**6\/300 - y**5\/50 + y**4\/60 + y**3\/5 - 9*y**2\/2 + 3*y. Let c(r) be the first derivative of s(r). What is a in c(a) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -28*u + 13*u + 2*u**2 + 15*u. Let g(y) = -2*y. What is g(x(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -60244 divided by 3?\nAnswer: -60244\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 5, -0.13, 1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4\/2 - 4*j**3\/3 - 13*j**2\/2 - 15*j + 60. Let i(z) = -z**3 + 2*z**2 + 6*z + 7. Calculate -13*i(w) - 6*x(w).\nAnswer: w**3 - 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2549 and 2465.1?\nAnswer: -6283539.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7656 + -5089. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/8479 in -4, -180\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -351\/56 + 57\/8. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from hhchhhchhhhhh.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*a**3\/a))*a**(-11))**(-22\/5))**(-15\/4))**(-25) assuming a is positive.\nAnswer: a**3300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 90 = 94 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 23.36. Let i = -14.36 - m. Sort 1, i, -4 in decreasing order.\nAnswer: 1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1766 + -1042. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 41 = 2*c, 2*v = -3*c - 2*c + 85. What is the remainder when v is divided by (54\/(-21))\/(1\/(42\/(-9)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h - 130. Let k be l(29). Let v(i) = -12*i - 134. What is the remainder when v(k) is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/28 and (-465)\/(-2)*12\/300.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13\/31, 0.1.\nAnswer: -5, 0.1, 13\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 32?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(2*-1 - -2). Let r = -139\/2 - -71. What is the closest to c in -1\/4, -0.5, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2158*m + 22. Let f(d) = 432*d + 4. Give 11*f(n) - 2*z(n).\nAnswer: 436*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 61. Solve -3*g + 3*y + 3 = 0, 2*g + 3 = -y + x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -410, -826, -1242, -1658, -2074, -2490?\n\"Answer: -416*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 24*k. Let s(j) = j. Let n(a) = -18*s(a) + t(a). Let b(f) = -2*f. Let q(x) = 8*b(x) + 3*n(x). Let y(l) = 3*l**2. What is y(q(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 21. Let b be t(-4). Let n(l) = l**2 - 10*l + 13. Determine n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwnnwww. What is prob of picking 3 w?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 33*l + 279. Is k(-35) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -487, -3, -72, 5 in descending order.\nAnswer: 5, -3, -72, -487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Find the second derivative of 5*p + 0*p + 0*p - 3*p + 2*p**i wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 5:32 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*k + 95 = 0, 16857 - 16102 = 4*u + 21*k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 3*a**3 + 199 + 25*a**2 + 45*a - 178.\nAnswer: 3*(a + 1)**2*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 50, 185, 444, 863, 1478, 2325, 3440?\nAnswer: 4859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 294061453.9 to the nearest ten thousand.\nAnswer: 294060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 m, and 2 u when four letters picked without replacement from umhumumhmuu.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703784.9 years to months.\nAnswer: 8445418.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**6\/60 - 13*o**5\/10 - 121*o**4\/4 - 325*o**3\/3 - 625*o**2\/4 + 3129*o - 2. Factor v(c).\nAnswer: -(c + 1)**2*(c + 25)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-13)\/v)\/v*v)\/((v*v**8)\/v*v)*(v\/v**(-18\/7))**(-25) assuming v is positive.\nAnswer: v**(-779\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.69 plus -0.02?\nAnswer: -89.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -77, -8, -3 in decreasing order.\nAnswer: -3, -5, -8, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -33330 divided by -6?\nAnswer: 5555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*1 - (5 + 1 + sqrt(3)) - ((2*sqrt(108) - (-1 + sqrt(3))*-5)**2 + -2).\nAnswer: -896 + 174*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1614359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3028.381 millennia?\nAnswer: 302838.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -575 + 843. Let r = n - 263. Solve -3*c - 14 = 5*o, 0 = -2*o + o + r*c - 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000184544924 to seven dps.\nAnswer: 0.0001845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4 + 4 + 5*s**2. Let l(r) = 0*r**2 + 53 + 200 - 253 - r**2. What is n(l(x))?\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from {w: 1, c: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -974139*r + 587095 with respect to r.\nAnswer: -974139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 453671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + 5 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5680\/60)\/((8\/(-6))\/2). Let p = 224 + u. What is the highest common factor of 205 and p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142817372 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 3*p**2 - 6. Determine m(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 q when four letters picked without replacement from qqqgqidqqiqqqqqdnnqi?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*g + g = 619, -464 = -3*u + 4*g. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (1 - -10) - -37?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18247 * 15.\nAnswer: 273705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5733*u - 5731*u - 8*u**2 + 27*u**2.\nAnswer: 19*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2993460 = -0*j - 4*j, -2*z = 8. Let c = 1098366 + j. Round c to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 165550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22163 - -1?\nAnswer: -22162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(51)*-2)\/(sqrt(12)*-5) - ((sqrt(187) - (sqrt(187) + -2*sqrt(187) + sqrt(187)))*-5)\/(6*sqrt(33)\/sqrt(3)).\nAnswer: 13*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*n + 31 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8034721ml to litres.\nAnswer: 0.0008034721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 64, 210, 498, 976, 1692, 2694, 4030?\n\"Answer: 8*w**3 - w**2 - w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3004 or 3001?\nAnswer: 3004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 14. Let k be c(6). Let t be (-74)\/(-14) + 7\/((-49)\/2). Sort 11, k, -3, t in ascending order.\nAnswer: -3, k, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(475))*1)**2 + 3 + sqrt(475)*3*-4.\nAnswer: 20*sqrt(19) + 1919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 23. What is the lowest common multiple of 21 and v(2)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -208, -259, -330, -421, -532?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 90 = 9*g. Is (381\/(-18)*-1)\/((-3)\/g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -8168219?\nAnswer: 2\/8168219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 406*j**2 + 76*j + 11. Let z(s) = -81*s**2 - 15*s - 2. Let q(t) = 2*n(t) + 11*z(t). What is the second derivative of q(g) wrt g?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90*k**2*z + 838613*k**2 + 5133*k*z**2 - z wrt z?\nAnswer: 90*k**2 + 10266*k*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 20 = 7*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21021010 (base 3) to base 7\nAnswer: 21303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -27, -3084, -0.5?\nAnswer: -3084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19074 is divided by 191?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 take away -0.1706106?\nAnswer: -21.8293894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26433 = -5*l - 26518, -3*v + 2*l = -49 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -5, 0.7, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1, -208 in decreasing order.\nAnswer: 1, -4, -5, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 421, 2008, 4837, 9064, 14845?\n\"Answer: 26*v**3 + 465*v**2 + 10*v - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + x + 4, w + 2*x = -0*x - 5. Let d = 9\/9781 - -29325\/19562. Which is the nearest to 0? (a) d (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -74, -113, -152?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t*t\/(t*t**(-3\/11)))\/t)*t**(1\/9)*(t*t*t**(2\/9)\/t)**(-20) assuming t is positive.\nAnswer: t**(-779\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o - 2610 = -36*o. What is the lowest common multiple of 58 and o?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30353 + -151054?\nAnswer: -120301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 421131485*y**4 + 1152650*y + 131 wrt y?\nAnswer: 5053577820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -98\/5?\nAnswer: -98\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f + 1. Let w(z) = -z + 1. Let b(g) = a(g) - 4*w(g). Is 12 a factor of b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/8 + -10 - 132*-26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -161*p**2 - 167*p - 1. Calculate s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**4\/9 + 3495253*r**3\/9 - 7456604*r**2\/3 + 932076*r = 0?\nAnswer: -699057, 0, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -78?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (3*sqrt(95) - sqrt(95)))*4*-6*-2)\/((sqrt(25) - (sqrt(25) + (5*1*sqrt(25) - sqrt(25) - sqrt(25))))\/((sqrt(240) - sqrt(15))\/sqrt(3))).\nAnswer: 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4 - 0. Suppose 5*c = -4*o - 1068, 2*o + 681 = -c + 141. Let q be (-6)\/10 + o\/(-20). Solve -h*d - 1 + q = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -16\/11?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -31, 11, 3 in ascending order.\nAnswer: -31, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(300) + -4)**2*6.\nAnswer: -960*sqrt(3) + 7296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28633, 229077, 773143, 1832641, 3579381, 6185173?\nAnswer: 9821827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**6 - 24016*g**3 + 20*g**2 + 5*g + 60?\nAnswer: 840*g**3 - 144096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 5*c + 15. Let m = 31 + -26. Let i be r(m). What is the highest common factor of 105 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*s - 7*s + 29*s.\nAnswer: 66*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 2 (b) 0.7 (c) -39 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1017 = 8*o - 921 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 4*d**2 + 3*d - 1. Suppose 3*u - 6*u = 15. Determine s(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13142967 is divided by 464?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 1, p: 2, m: 6, b: 2, w: 1}. Give prob of sequence wv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (2 + 3 - (-336 + 340)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: What is the ten thousands digit of 1043760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 12. Suppose -p*m = m - 40. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-15)*h**(-2\/5)\/h assuming h is positive.\nAnswer: h**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 33. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**2 - v + 1. Let o be y(2). Suppose -18 = x + o. Let h = x + 317\/7. Put -2, h, 1 in increasing order.\nAnswer: -2, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 47*(-3)\/(-3)*47. Let l = -1016 + w. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = -27*t - 93 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -274178510, -274178511, -274178512, -274178513, -274178514?\n\"Answer: -s - 274178509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26, -6, 34, 100, 198, 334?\n\"Answer: a**3 + 4*a**2 + a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a**4 + 0*a**3 - 37\/5*a**5 + 0*a - 15\/2*a**2 + 23. What is the second derivative of l(v) wrt v?\nAnswer: -444*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4739490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*m = 849 - 3209 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 91*k**2 - 460*k + 27. Is 117 a factor of y(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 8, w: 4}. Give prob of picking 1 w and 1 n.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3466, -6881, -10296?\nAnswer: -13711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3393032, 6786114, 10179196, 13572278, 16965360?\nAnswer: 20358442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.44 (b) 0.4 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 123*n**2 + 228*n - 17334. Calculate z(61).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75069348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g**4 + 7*g**3 + 114*g**2 - 209*g + 97. Let h(b) = b**4 - 3*b**3 + b + 1. Let p(s) = -a(s) - 11*h(s). Factor p(z).\nAnswer: -2*(z - 6)*(z - 3)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -15. Suppose m = -3 - 1, -d = 5*m + f. Let v(z) = -z**2 - d*z**2 - 2*z**2 + 2*z**2. Let c(w) = -w. Determine v(c(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(6 + -8)*-1. Let n be 8\/8*(16 + j). Let k be (-2)\/10 - 11\/(-5). Solve 5*h + x = -n, -5*h + k*x - 7 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/198 and -137\/528.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*t + 227 = -0*t, -u + 60 = 2*t. Let j be (-10)\/(-4) - (-29)\/u. Solve 9 = j*m - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/15)*o\/(o\/(o**(2\/11)*o)*o)*o**(-5)*o\/(o\/(((o*o**(-2\/13))\/o)\/o))*o*(o**(-1\/4))**(-27)\/((o**(-2\/5)\/o*o)\/(o**(-9)*o)) assuming o is positive.\nAnswer: o**(-51097\/8580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*sqrt(7)*1*5)**2.\nAnswer: -100*sqrt(7) + 4379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (470\/17625)\/((-8)\/(-200))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -4813*g**6\/120 + 1397*g**5\/60 + 289*g**2. What is the third derivative of u(h) wrt h?\nAnswer: -28878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-6 - (-5 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 398 and -9.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h**3 + 9*h**2 + 5*h + 54. Let v(c) = 5*c**3 + 5*c**2 + 3*c + 27. Let u(g) = 5*v(g) - 3*z(g). What is the first derivative of u(t) wrt t?\nAnswer: -15*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/33 and 163\/510.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fknlffkff. Give prob of sequence fnll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517194 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47132\/7 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1614 divided by 6.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2020 = 80*w + 1862 - 5322 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/(-15))\/((-6)\/(-270)). Suppose -10*b = 17*b - s. Factor 8\/5 + 68\/5*f**5 + 88*f**b + 64*f**2 + 56*f**4 + 20*f.\nAnswer: 4*(f + 1)**4*(17*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -28. Let z = d - 11. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259333 or -259332?\nAnswer: -259333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1186*c**3*f**2 - 8*c*f - 76*f**2 wrt c?\nAnswer: -7116*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 28*x + 105 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6306 and 732?\nAnswer: 769332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 3 + 2 - 5 - x**2.\nAnswer: -x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a8527 (base 13) in base 8?\nAnswer: 10173621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 62 + -11 - -21?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a224a0 (base 12) to base 5.\nAnswer: 1122041234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/8 and -103\/15759970?\nAnswer: 63039880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 334228 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -12*m**3 + 4*m**2 + 8*m - 33. Determine y(3).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 5*a + 4. Let f be m(5). Suppose 0 = 2*t - f*i - 60, 5*t - 4*i = -5*i + 117. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 7*t**2 + 2*t + 14. Let k be v(-7). Let i = 8 + k. Let w(j) = j**3 - 8*j**2 - 2. What is w(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(13))*-5 - sqrt(117)\/sqrt(225))**2.\nAnswer: -104*sqrt(13) + 11288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcx when three letters picked without replacement from ctttttttcgtctgcttcx?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*c + 4*o + 57, -14220*o + 14222*o = -10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1951*o**2 + o**3 - 2060*o**2 + 2*o**4 + o + 4208*o**2 in the form v*o + q*o**3 + b*o**4 + w*o**2 + i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d - 1. Let y be x(1). Let l(m) = m**3 - 1 - m + 8 + y - m**2 - 3. List the prime factors of l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-4)*2 - (-47 + 52)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 286*b*c**2*u - 61*b*c*u + 2*b - 220799*c**2*u - c**2 wrt b.\nAnswer: 286*c**2*u - 61*c*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w, 3*i - 6*w = -3*w + 3. Let y be (-27)\/(-9) - 0\/i. Let -69\/4*s**2 + 143\/2*s**y - 11*s - 1 - 169\/4*s**4 = 0. Calculate s.\nAnswer: -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -50*s**2 + 20*s - 7. Suppose -20 = -5*j + j. Let n(z) = -40*z**2 + 7*z**2 - 17*z**2 + 20*z - 8. Let t(h) = j*n(h) - 6*d(h). Factor t(k).\nAnswer: 2*(5*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfw when three letters picked without replacement from wwsffwwwfwwfw?\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 66078 and 198236\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2809799.\nAnswer: 83, 97, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 5*h - 20. Let z(y) = -6*y**2 + 14*y + 59. Calculate 8*m(d) + 3*z(d).\nAnswer: -2*d**2 + 2*d + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40980189 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 5:42 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 6*d - 7*d - 2*d**2.\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/sqrt(4)*-2 - (-5*sqrt(168)\/sqrt(3) + sqrt(56)))\/((sqrt(8) - (sqrt(392) - (-2*sqrt(392) - sqrt(392)) - sqrt(8)))*-2)*1.\nAnswer: sqrt(7)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -5, 28, 56 in ascending order.\nAnswer: -5, -2, -1, 28, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1383, -941, -203, 831, 2161?\n\"Answer: 148*v**2 - 2*v - 1529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylrlrylrrr. What is prob of sequence yy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (7 - (10 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p**2 - 9502*p**3 + 25069*p**3 - 7780*p**3 - 7788*p**3 - 22*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -12*l - 3*z + 15, 4*z - 1 = -5*l. Let r(b) = 3. Let a(v) = v - 1. Give l*a(d) - r(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/(-2) - -3 - 3. Suppose 3*q - 3*g = -7*g + 11, -3*q + w = -5*g. Suppose -38 = -q*f - 13. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10506328\/157 - -66919. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651, -647, -633, -603, -551, -471?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m - 4*m**4 + 3*m**4 - 1 + 7*m to g*m + p*m**4 + u*m**3 + w*m**2 + s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - 2*sqrt(104))*2 - sqrt(104))\/(6*sqrt(32)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 273\/186 + (0 - 2) and (198\/264)\/((-66)\/(-236))?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55452*w = 54686*w + 62046 for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000418156 rounded to 7 decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (14 + 41\/(779\/(-304)))\/(-86)\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 5:15 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, -3, -298, -74, 4 in decreasing order.\nAnswer: 144, 4, -3, -74, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -408 - -422. Suppose 10*f - w*f = 2*c - 398, f = 0. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 4*y**2 - 74 - 3*y + 70. Is k(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504) + sqrt(504)*2)\/(sqrt(2) - (-1*sqrt(10))\/sqrt(5)) + ((-2*sqrt(70) + sqrt(70) - sqrt(70))*-6)\/(sqrt(810)*2).\nAnswer: 29*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/11984 and 65\/47936.\nAnswer: 47936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9563496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_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: Is -36365 less than or equal to -254565\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 + -10000010?\nAnswer: -10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223 + -42. Suppose 4*k + 4*o = 724, 5*k = 6*k - 5*o - h. Calculate the remainder when k is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*w - 9 - 312, 3*k + 127 = -2*w. Let v = 1500 - 10482\/7. Find the common denominator of w*(1 - (-198)\/(-210)) and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5176350538 to the power of 1\/3, to the nearest integer?\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 8*s - 6. Suppose -r = -5*c + 35, -4*r = -3*r - 2*c + 20. What is the remainder when 41 is divided by x(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2142337 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1466690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 - 4*j**2 + j**2)*(4*j**2 - 2*j**2 + 0*j**2) as b*j**4 + w*j**2 + k*j**3 + i*j + f and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42388 + -5934269\/140. Find the common denominator of i and -47\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181329 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 88 = -6*x, -5*x - 5*b = -9 + 69 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 + 3\/8*a**3 + 45\/4*a**2 - 189\/8*a.\nAnswer: 3*(a - 1)**2*(a + 32)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1123250041 + -4?\nAnswer: -1123250045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -108\/451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1005 - -1060. Suppose -4*n = 3*j - 57, -4 = 3*j - 2*n - 43. Calculate the remainder when s is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -375 - 39*o**2 + 243 - 91*o**2 wrt o?\nAnswer: -260*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Suppose t = w + 5*n - 2*n + 4, -5*w + 3*n + 16 = 0. What is the second derivative of -3*f - 4*f**w + 8*f**2 + f**2 wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -15*y - 192. Let o be b(-13). Solve 13 = -39*d + 41*d - 5*i, -3*i = o*d - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*w**3 - 40816*a*w**2 + 44*a*w + 2*a - 1976*w**3 + 36722*w wrt a?\nAnswer: w**3 - 40816*w**2 + 44*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6 - (-40)\/80)\/((-10)\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -1 (b) -3.3 (c) -2\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6080783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*f = 37, 2*a + 0*f - 4*f - 32 = 0. Let p = a + -12. Let h(u) = u**p - 6*u**2 + 3*u**2 + 0*u**2. Let l(q) = 2*q**2. Determine h(l(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -559 * -0.2.\nAnswer: 111.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11272380, -22544764, -33817142, -45089514, -56361880?\n\"Answer: 3*c**2 - 11272393*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 6*w - 11. Let o be f(7). Let u = 329 + -174. Let b = u - o. Calculate the remainder when b is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.51942847 * 0.3.\nAnswer: 1.355828541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2651531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188 * -0.3.\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69562 is divided by 4636.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 2*g**2 + 3*g**2 + 8*g**2 + 2*g**3 - 7*g**2 - 8*g**2.\nAnswer: 2*g**3 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - 0.2. Let x = 1\/3 + 1\/3. Which is the closest to p? (a) 0.07 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (34 + -59) - -20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 1 = b, 3*f + 2*b = b + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 - 181 + 17512*f**2.\nAnswer: 17512*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -69\/12498209 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 + 151 + 40)*(-3 + 3 + 1)*(40*r - 18*r - 41*r).\nAnswer: -5586*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + 4 - (3 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x - 84. Suppose 3*h = -x + 147. Calculate the highest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*w = 21 - 5, -44 = 5*d + 2*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 1 + 14. Let c(l) = -l**3 - 3*l**2 + l - 4. Calculate c(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -9 - (0\/(-4))\/1. Put s, -1\/2, -2\/11 in decreasing order.\nAnswer: -2\/11, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by (-1 - 9\/(-6)) + (-364)\/(-8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -18. Let r = 9 + -3. Suppose -q - 2 = -r. Solve j = q*w - w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/5 - (-72)\/40. Let k(r) be the first derivative of -8\/3*r**3 + z*r**2 + 3 + 12*r. Find the first derivative of k(y) wrt y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1225, -4906, -11085, -19762?\nAnswer: -30937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 117 = 13*s. Suppose s*z + 8 = 15*z. Solve -z*p = -8*p - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -130 - -36006?\nAnswer: 35766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*f + 6, 2*f + 26 = 5*f - 4*w. Suppose -5*s + f*s + 4*l - 180 = 0, l - 171 = -s. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/20 and -21\/122.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.055 * -0.024\nAnswer: -0.00132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 9 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -762 less than -257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3\/4 + 587*v**2\/2 + 338349*v\/4 + 84294 = 0.\nAnswer: -669, -504, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + (-6 - (166 + -142)) + 1 + 24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 19, 27, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 4 + 9*(-1856)\/864?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(171)\/(sqrt(324) - sqrt(9)) + sqrt(19) + -3 + 0.\nAnswer: -2 + 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39590 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -19*s + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*w - 4*a - 15016, -3*w = -a - 15031. Let q = w + -3295. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, a: 3, q: 7, f: 1}. What is prob of picking 1 q, 1 z, and 1 a?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/60 + 162*c**5\/5 - 19683*c**4 + 2*c**2 - 3*c - 96. Factor w(x).\nAnswer: -2*x*(x - 486)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 less than 18959?\nAnswer: 18709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0*g**7 + 0*g**2 + 0*g**3 + 0*g**6 - 1\/4*g**8 + 14*g + 0*g**5 - 5\/12*g**4 + 0. What is the third derivative of a(w) wrt w?\nAnswer: -1680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 12*t - 152. Let s(h) = 3 - 3 + 2 + 3*h + h**2 - 9*h. Let a be s(6). Solve 2*k + t = a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*c - 5*d, d + 0*d - 21 = -4*c. Suppose 3*y + 3*u = 387, -u = c*y - 71 - 454. Suppose -3*z = -6 - 30. What is the highest common factor of z and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(8\/(-1152)*-9). Suppose -18*w + 96 = -a*w. What is the highest common factor of 768 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213941 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**3\/3 + 2*m**2 - 2*m. Suppose 5*t = t + 20. Give s(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 4*m**3 + 4*m)*(0 - 5 + 3 + (0 + 3 - 4)*(-1 - 2 + 2) + (1 + 1 - 6)*(7 + 0 + 0)) to p*m**2 + g + n*m**3 + w*m and give n.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2. Let k(z) = -295 - 6*z**2 - 287 + 566 + 5*z**2. Determine d(k(q)).\nAnswer: -2*q**4 - 64*q**2 - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10591 - -10727. Calculate the remainder when 230 is divided by x.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - (-23)\/(-5)) + 2\/(-5). Let x be (-8)\/(-6) - 4\/(-6). Solve a = x*o + m - 5, 3*o - m + 4*m = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -77\/8?\nAnswer: -77\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + sqrt(19) - sqrt(19))**2*6 - (((-1*sqrt(228) - sqrt(228) - sqrt(228))*-5)\/sqrt(12))**2.\nAnswer: -4264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5705091 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*g = 2, 0*f - 2*f = -3*g - 3. Calculate the common denominator of (-10 + f)*(-10)\/(-32) and (-188)\/1222 - (-1 - 671\/52).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12554\/11975 - 4\/479. Let i = -115 - -53. What is the common denominator of i\/(-8) + 3 - -2 and s?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154305758.\nAnswer: 2, 23, 43, 181, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/20 - (-58)\/10. Factor l*v**2 - 2*v**2 - 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 7 (c) -2\/5 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n\/n**(-2)*n)\/n)*(n*n**(3\/4))\/n*n*n\/(n**8*n)*n*n**8*n assuming n is positive.\nAnswer: n**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/(1\/(-142)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 29 = -5*k, 109*k - 4*j - 8 = 108*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 185225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -12*q + 56 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 2*i + 9. Let b(t) be the first derivative of -t**3\/3 - t**2\/2 - 4*t - 11. Give -9*b(w) - 4*j(w).\nAnswer: w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -4*x - 864. Suppose 449 = 5*v - x. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -64466 (c) -0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:56 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 974629*z. Let t(l) = -134*l. What is u(t(d))?\nAnswer: -130600286*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -553, -552, -551, -550, -549?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 136960.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - (56 + -18)) + (5 - 8 - 18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0 + 0)*1. Suppose 63*u = -158*u + 333 + 109. Solve c*v = u*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.42, -3\/2, -5, 4 in decreasing order.\nAnswer: 4, 0.42, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293 - g**3 + 5*g**3 + 147 + 145 + 22*g.\nAnswer: 4*g**3 + 22*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -24?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, x: 2, m: 2}. Give prob of sequence xjjm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - t - 293, 0*x = -5*x - 3*t + 465. Suppose -n - 71 = n - 3*g, -x = 3*n - g. Let w = -21 - n. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 33765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1171295515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68907, -68824, -68741?\nAnswer: -68658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/463590 and 187\/92880?\nAnswer: 159474960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-253)\/(-11))\/(-69))\/(2\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -25\/3, 4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 360825 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:11 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 3*y**4 - y**4 + 4*y**3 - y**4 - 4*y**3 + (y**3 + y**3 + 0*y**3)*(2*y - 4*y + y) + (3*y + 2*y**3 - 3*y)*(1 - 1 - y).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574079 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17350078519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z*z*z**7*z*z*z*z))\/(z\/(z*z**(-1\/35)\/z*z*z)))\/(z**(2\/13)*z*z**28\/z))**9 assuming z is positive.\nAnswer: z**(-160452\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10396559?\nAnswer: 10396559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 160323 (base 11) to base 7\nAnswer: 2055531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/100)\/(1\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0921665 - -2\nAnswer: 2.0921665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1128\/(-658)*(-14)\/4 - (-8 - (-2064)\/156)\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a64cc4 (base 16) to base 12\nAnswer: 37970b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1187, -2856, -4525?\n\"Answer: -1669*j + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131484 is divided by 131482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, q: 4, t: 4}. What is prob of picking 1 r and 1 q?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -9. Suppose 2 = -h*c + 26. Solve -7*o + 3*o = -c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 13*a**2 - 8. Let q be p(-13). Let t(g) = g**2 + 10*g + 12. Determine t(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262.7 - -142\nAnswer: 404.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21820622 is divided by 10665.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58984, -58993, -59006, -59023, -59044, -59069, -59098?\nAnswer: -59131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3941? (a) -0.4 (b) 0 (c) -4.19 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2157*y - 2152*y - 15, -4*d - 6 = -2*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w. Let k be l(-4). Suppose s = 4*n - k, -3*n + 7*n = -2*s + 28. Let x(p) = -4*p + 4*p + 0*p + s*p**2. Let v(g) = g. What is x(v(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 619, 2438, 5469, 9712, 15167?\nAnswer: 21834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*f - 35*c**3 + 72*f**4 wrt f?\nAnswer: -2*c**3 + 288*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/5 - 184702*p**2\/5 + 852889190*p - 852852250 = 0. What is p?\nAnswer: 1, 46175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.046672 - 0.047. Round x to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4302.607 millennia to decades.\nAnswer: 430260.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ddd79a (base 15) to base 6\nAnswer: 1014401031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -276.\nAnswer: -47\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 26*z + 4. Calculate n(-13).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12128 is divided by 1115?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 84*f + 147*f + 2 - 75*f as h*f + w and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*f + 312. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 3\/1039 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 at least as big as -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - k - 7*k**3 + 30*k**3 - k.\nAnswer: 22*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggy when three letters picked without replacement from {y: 1, g: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -904\/21 + 130\/3. What is the biggest value in 14, -7, o?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7480 (base 10) to base 5.\nAnswer: -214410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 2406.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2)*7\/1. Let r = 1 + f. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 53*y - 57*y + 4, 0 = -m - 4*y + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let k(s) = 4*s + 1. Let y = 6 - 12. Let a be (-1)\/(-3) + 14\/y. Let w be (3\/6*a)\/1. Calculate w*k(h) - 2*z(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-42))\/(90\/(-630))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11332 is divided by 2831.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 225006067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027338 to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -17. Let s = -32 - p. Let x = -7 - s. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 65. What is a(7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j + 4. Let w be (-1 + 0 + 0)\/(14\/(-14)). Let l be s(w). What is the greatest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/2 + 2 - (-6 - (-145)\/15).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 7*d**4\/6 - 7*d**2\/2 - 10*d. Differentiate m(r) with respect to r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1 + (7 - 1). Factor -g**2 + 8*g - w*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-6\/13)*m*m**(-6) assuming m is positive.\nAnswer: m**(-46\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27129.\nAnswer: 3, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -e2 (base 15) to base 13\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149056 and 14956838.\nAnswer: 4658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107 - 11?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -27196 (base 16) to base 7\nAnswer: -1234624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5991941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/12 + (-2)\/(-8). Let l = t - 1. Let a = l - -7. Sort a, 4, -4 in decreasing order.\nAnswer: 4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21378 - 21514 = 34*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - 3*p**2 + 4*p**2)*(p**3 - 2*p**3 - 3*p**3) + 0*p**5 - 1 + p**5 + 0*p**5.\nAnswer: 13*p**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, v: 2, n: 5, b: 2, z: 1}. Give prob of picking 2 n and 1 b.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 979 - 387 = 0. Suppose 59 + 14 = 4*x - 159. Suppose -p + x = 15*o. Which is greater: o or -56\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241 + 417. What is the remainder when j is divided by ((-59)\/2)\/(-6 + (-132)\/(-24))?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 - 18*t**2 + 11*t + 51. Let r be i(-4). Suppose -a - 95 = 2*y - 4*y, -5*a - 3*y - 423 = 0. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*z + 1, -4*x + 6*z + 14 = 8*z. Solve -4*m - 3 = -l, -m - x = -4*l + 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -100*z**5 + 92*z**4 + 808*z**3 - 1136*z**2 - 96*z = 0.\nAnswer: -3, -2\/25, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.4 - 0.4. Put c, 0, -1\/3 in ascending order.\nAnswer: -1\/3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.4 (b) -4 (c) -1\/2 (d) 65\/2 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 175 = 5*b - 68 - 59, 3*b - 4*y = 35 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -177736 divided by -177736?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 62*b - 154. What is x(-60)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068 - 2839 = 161*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 + 1 - 10*u to h*u + f and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/2)\/7*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**4\/12 - 7*w**3\/6 - 2*w**2 - w. Let v be h(-5). Let g = v + -4. Solve g*i = 1 - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrw when three letters picked without replacement from drmwwji?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 - 90. Let m(p) = -4*p - 3. Let z be m(-3). Solve g*a - r - 12 = z, 3*a + 4*r = 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l\/(l\/(l**(-25)*l)))*(l\/l**(-6\/13))\/l)\/(l**(-21))**31 assuming l is positive.\nAnswer: l**(8794\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 999 - 969. Suppose 1064 = 4*z + 4*o, o + 1067 = 3*z + 281. What is the remainder when z is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t**2 + 97*t**2 - 37*t**2 - 32*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69192)\/(-14415)*(-2)\/(56\/(-10)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73315843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b. Let g(s) = 4*s - 1. Let q(f) = g(f) - 5*p(f). Let r(o) = 2*o**2. What is q(r(v))?\nAnswer: 58*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 1. Let m(f) = f. Let o(v) = 3*m(v) + u(v). Let w be o(6). Let p(a) = 3*a - 2 - w*a + 6 + 3*a. Calculate p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 4. Let d be y(3). Suppose -5*m - r + 2058 = 0, -3*m + 6*r + 1234 = d*r. Calculate the remainder when m is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5805*a = -738*a + 3112*a + 507098 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.30823t?\nAnswer: 4308230000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from sgsigrhsoorioog.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:07 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 45*m + 16253. Let y(w) = -16*w - 5418. Give -17*y(l) - 6*z(l).\nAnswer: 2*l - 5412","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) -1\/4 (b) 2\/9 (c) -0.1 (d) -22 (e) 10\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27536169*s**4 - 49*s**2 - 5287.\nAnswer: 660868056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 204563107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112244 to the power of 1\/2, to the nearest integer?\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6309, -12733, -19281, -25965, -32797?\n\"Answer: -2*j**3 - 50*j**2 - 6260*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzq when three letters picked without replacement from zzsywssyyqzzyyvvv.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6*p + 25 = -2*p, 2*p = 2*i. Suppose 3*k - 4 = i*k, 2*k - 20 = -3*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 3, b: 1}. Give prob of picking 1 g and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108*a**2 - 51*a + 346968.\nAnswer: -216*a - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/9*(23\/(13041\/(-5652)) - -10).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 79 = 5*t, t + 88 - 185 + 80 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - ((2 - -1) + -2). Let c = 0 + d. Suppose -3*w + c = -h, -4*h + 5*w + 5 = -12. Calculate the smallest common multiple of 12 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 6031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 57525*x + 69 - 74.\nAnswer: -57525*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2089781.8 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.05, 1\/5, 13\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4\/14 - 18*w**3\/7 + 243*w**2\/7 - 1458*w\/7 + 7. What is m in k(m) = 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.16 - -0.36. Let n be 2*1*2\/16. What is the nearest to n in b, 4, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 87 - (39 + -32 - (2 + 1))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -10*c + 7*c. Let q(p) = 8*p**2 - 4*p - 4. Let v(y) = -y - 1. Let k(u) = c*v(u) - q(u). Let j(f) = -f. Calculate k(j(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**(-33)*d**(-2\/13)\/d*d*d**(2\/15))**(-3\/13) assuming d is positive.\nAnswer: d**(12898\/5915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 10473090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 + 7*c**3 - 11*c**2 - 4*c**2 + 11 - 6*c**3. Give m(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 486 - 439. Suppose 2 = -5*p + g. Suppose 2*q - 45 = -r, 4*q - 8 = -r + 37. Calculate the greatest common divisor of p and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 16843\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 10*s + 42 = 0. Calculate the remainder when 29 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(-84))\/((-50)\/(-150)))\/(5\/(240\/328))?\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74886599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + 748. List the prime factors of u.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17796503 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 22*p**2 + 17*p + 67. What is n(21)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 15) to base 5\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79932255 is divided by 319729.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3501 and 198.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*n - 1820*n - 1131*n.\nAnswer: -3771*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4376 divided by 707?\nAnswer: -4376\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 64. What is the greatest common factor of c and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 17 = -12. Let c(j) = 49*j**3 - 11. Let o(m) = 2 + 15 - 3*m**3 - 71*m**3. Let n(s) = i*o(s) + 8*c(s). What is the first derivative of n(y) wrt y?\nAnswer: 66*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503141.\nAnswer: 337, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -4\/5, -3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 0 + 0 + 0*v**3 + 3*v**3 - 2*v**3 + (-13 + 12*v**2 + 13)*(-v - 9*v + 3*v) - 2*v**3 - 2*v**3 + 5*v**3.\nAnswer: -84*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*-1*sqrt(102) + (sqrt(102)*-2*-6 + sqrt(102))*6)\/(-3*(6*(1*sqrt(726) + sqrt(726)) + sqrt(726))*4).\nAnswer: -17*sqrt(17)\/429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6944, -12583, -18238, -23915, -29620, -35359?\n\"Answer: -d**3 - 2*d**2 - 5626*d - 1315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.837649 rounded to 1 decimal place?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1114783 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.75 - -3.15. Let i(t) = -t**3 - 9*t**2 - 11*t - 20. Let o be i(-8). Which is the smallest value? (a) -0.3 (b) o (c) -3\/4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*a + 121*a - 396 = 209*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/10)*g*g**10*g*g)**(-7) assuming g is positive.\nAnswer: g**(-973\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 0.2, -19, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98088 is divided by 24511.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9408.416ng in tonnes?\nAnswer: 0.000000000009408416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(425)*5 + -4)**2.\nAnswer: -200*sqrt(17) + 10641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b**3*f**2 + 45*b**3 - 118693*b**2*f - 138*b*f**2 + 134*b + 5*f**2 - 172 wrt b.\nAnswer: -60*b*f**2 + 270*b - 237386*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850 a factor of 98940600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxggx. What is prob of sequence gx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*95\nAnswer: 14.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 + 517\/(-77). Let d = -3 - p. Solve d*r + 3 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.0071 + -0.0271. Let m = 0.02 + d. Let f = -5.1 + m. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 479640\/(-47124) + 9\/((-765)\/(-10)) - -10.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/8*(-10)\/(-495).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -214. Let v(p) = 3*p**2 - 23*p + 16. Let t be v(7). Suppose 19 = x + t*z - 15, -2*z - 44 = -2*x. What is the remainder when i is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - b + 8 = 0, b + 4 = -5*n - 2. Is n at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1234.5 - 1223.819. What is t rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 2874872*c**2\/3 - 5749736*c\/3.\nAnswer: -2*c*(c + 2)*(c + 1437434)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - 7*v**2 - 47*v - 62. Let a be k(-6). Which is bigger: 392 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h - 17. Let a(w) = 6*w + 16. Determine 4*a(z) + 3*t(z).\nAnswer: 3*z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (95*(76 - -5))\/(6\/4).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/4)\/(1\/(6\/(-63))). Solve a*o**3 + 0 + 0*o**2 + 0*o + 2\/7*o**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*q + q - 406, -5*l = -4*q - 679. Let w = -3 + 18. What is the highest common divisor of l and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 702652*k + 336061.\nAnswer: 702652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157 a factor of 105097339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 786354 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11140, -11206, -11276, -11350, -11428, -11510, -11596?\n\"Answer: -2*v**2 - 60*v - 11078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.69 + 52.69. Is z less than -0.144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*u**3 - 262*u**3 + 81*u**3.\nAnswer: -711*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (12 + -6) - (-1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34220 - 34060. Solve -284 = 111*s + a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 7*h**2 - 3*h - 4. Let p be i(-5). Let s = 763 - 760. Suppose 3*l - 590 = -s*y + 43, l + 3*y = p. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-1 + sqrt(11))*3 + sqrt(11))**2 + sqrt(11)).\nAnswer: -46*sqrt(11) + 370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181 + 177. Suppose -3*j - 5*q = -46, 0 = -0*j + 4*j + q - 33. Suppose j + 5 = 4*h. Put -3, b, h in decreasing order.\nAnswer: h, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 81. Let u(l) = -l**2 + 7*l + 3. Let w be u(7). Suppose 5*z = 4*t + 20 + 1, 0 = w*t - 4*z + 17. What is the smallest common multiple of t and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(12)*1)\/sqrt(6) - sqrt(20)\/(sqrt(10)*2)))*6.\nAnswer: 3*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -11 (b) 21 (c) -4 (d) -6\/103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a factor of 18675653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 12*v + 31. Determine p(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70309, 140930, 211551, 282172, 352793, 423414?\nAnswer: 494035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.223 + 0.023. Which is the nearest to 0.1? (a) 0 (b) f (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*b = -2*b - 5, u + 10 = -3*b. Suppose 3*y + 63 = 5*g + 9, -y - 48 = -u*g. Suppose g - 185 = -2*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**6 + 3*a**2 + 0*a**6 - 6*a**2 + 3*a**6 wrt a?\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -27*v + 1119. Let j be n(42). Which is greater: j or -733?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**4\/4 - 6693*q**3\/2 + 13671*q**2\/4 + 629547*q\/2 + 589116 = 0.\nAnswer: -4463, -8, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2168, 2162, 2156, 2150, 2144?\n\"Answer: -6*v + 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(112\/192) - -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -277, -1451, -4023, -8497, -15377?\n\"Answer: -84*m**3 - 195*m**2 - m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + q + 33. Let y be h(0). Let d = y - 34. Let z(v) = -14*v**2 + v + 1. Calculate z(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*w + 324 - 58 = -226*w - 306 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2.6, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 3, 13, -3\/4, 183\/5, -5 in descending order.\nAnswer: 183\/5, 13, 3, 3\/8, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196*a + 617*a**2 + 2 - 141*a + 4 - 6 wrt a?\nAnswer: 1234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2209 + 1632468506*s + 2209 - 1632468509*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2168 and 2168.\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 10:05 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*l - 3*x, -l - 4*x + 15 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25986, -51978, -77970?\nAnswer: -103962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + g - 55 = 0, -3*r + 75 = 2*r - 5*g. Let m be (-1)\/7 + 16\/r - 1. Suppose -2 = -k - m. Solve 0*t - 5*z + 5 = 3*t, -z + 1 = -k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**6*i)**(7\/4)*i**(-3\/14)\/(i*(i\/(i*i**(2\/9)))\/i*i) assuming i is positive.\nAnswer: i**(-1007\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 547532 divided by -136883?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 + 102. Suppose -u*s = -q - 515, 309 = s - 2*q + 59. Is 29 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-3)\/(108\/(-8)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 124689 (b) 4\/5 (c) 2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((378\/28)\/27)\/((-3)\/(-180)). Let h(z) be the first derivative of -f*z**3 - 1080*z + 6 - 270*z**2 - 5\/4*z**4. What is r in h(r) = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in -1.7, 28, 5\/4, 0?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 75 = 3*c, 0 = 2*j - 4*c + 2*c - 30. Suppose 4*k - 4 = 4*y, k + k - 23 = -5*y. Suppose y*r - r = 86. What is the remainder when r is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -458257585 * -0.5.\nAnswer: 229128792.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6))**(1\/37) assuming m is positive.\nAnswer: m**(-6\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let q = 927 + -1672. Let y = q - -750. Which is the third smallest value? (a) -1\/2 (b) k (c) y (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1785\/2 + -917. Suppose -2*z + z - 30 = 0. Calculate the common denominator of i and 6\/z*185\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v**2 - 412*v + 7. Let c be o(38). Round c to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4312*z**3 + 11*z**2 - 627*z - 7. Let h(j) = -2161*j**3 + 5*j**2 - 313*j - 3. Let t(f) = 3*a(f) - 7*h(f). Find the third derivative of t(m) wrt m.\nAnswer: 13146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 104444 - 220959 + 40871 - 48209.\nAnswer: 2*d**3 - 332741","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5534803 is divided by 250?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-32)*(-5)\/45. Let q = b - 3\/16. What is the biggest value in -1\/3, q, 2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147030 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y**5 - 4 + 4 + (-3*y**4 - 3*y**4 + 4*y**4)*(-2*y + 0*y + 0*y) + 0*y**5 + 4*y**5 - 2*y**5.\nAnswer: 15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.92 - 2. Let y = j + -0.52. Let i be (-36)\/40 - 2\/(-5). What is the second smallest value in 2, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 2*m - 7*m + 5*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 4)\/((-40)\/(-5) - 9). Suppose q*r - 274 - 101 = 0. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*2*(-1)\/2. Let y(r) = r**3 + 14*r**2 + 33*r - 68. Let h be y(-10). Solve 3*u - 21 = 3*l, -u + w = 3*u + h*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (4 + (-26)\/10))*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 minus 51?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140 + 163 + 0*i - 383 - 4*i + 142 to o*i + q and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -80*f + 16. Let o(r) = -165*r + 32. Calculate -3*o(x) + 7*v(x).\nAnswer: -65*x + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2026\/(-5))\/((-37656)\/(-2790)). Let o = a + 175717357\/86818. Let z = 1994 - o. Is z > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65610 - 18*w - 65610.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -4, -3.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*b + 98. Suppose -2*q - 233 = -2*w + b, -5*w = q - 653. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 28. Let b be p(25). Suppose b*y = 4*f + 11, -4*f + 24 = -0*y + 4*y. Suppose 175 = -y*z + 12*z. What is the lowest common multiple of 6 and z?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14372, -14369, -14376, -14399, -14444, -14517?\nAnswer: -14624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330475151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/64 and -63\/2.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*q**4 - 660599*q**3 + 4*q**2 - 281453037*q wrt q.\nAnswer: 108*q**2 - 3963594*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -6\/19, 0.5, -4\/35619?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88843.93l in millilitres?\nAnswer: 88843930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/32)\/((-187)\/(-5984))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*u - 8, u + 16 = 3*c - u. Let f(b) be the second derivative of 1\/6*b**c + 3*b + 0 - 4\/3*b**3 + 4*b**2. Suppose f(x) = 0. Calculate x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**2\/2 + 50*z + 26. Is 35 a factor of n(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:21 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1570 + 446*t - 1565 + 3131 in the form h + g*t and give g.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**4\/12 + 5*f**3\/6 - 11*f**2. Give p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1*sqrt(108) + sqrt(108) + 2)*2.\nAnswer: 4 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 + 884*c - 1. Let h(z) = -z. What is h(o(p))?\nAnswer: -4*p**2 - 884*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/23 + 546*p**2\/23 + 38070*p\/23 + 109350\/23 = 0. What is p?\nAnswer: -135, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13515351 (base 7) in base 3?\nAnswer: 2101021000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-12)*c))*c*c**14)\/(c\/c**(-1\/9)*c)**(-2\/7) assuming c is positive.\nAnswer: c**(353\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11954*i - 9. Let x be s(-4). Let d = -182175 + x. What is d rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(3\/14)\/b*b\/(b*b**15*b*b) assuming b is positive.\nAnswer: b**(-235\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49686 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, q: 1, a: 2, o: 1, g: 2}. Give prob of sequence gu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*n - 15, 2*j + 3*n = 5*n - 10. Suppose -2*y + 5*y - 3 = j. What is the highest common factor of y and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 2\/35, -6, 5, 1\/3, -3.8, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108800 divided by 170.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6472 (base 10) to base 16.\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7240903 and -5?\nAnswer: 36204515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + (-72 - -77)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(7\/1113). Suppose -a + 15 = -j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 6*g**2 + 5. Let v be p(-6). Suppose 3*m = a - 57, 0*a - 95 = v*m - a. Let n = m - -23. Solve 4*t + n + 8 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -18*r**2 - 98*r - 141. Give v(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5 + sqrt(117) + sqrt(117) + 1 - 1*(-2 + sqrt(117))) + -3 + sqrt(117) + sqrt(117) + 4*(sqrt(117) + -2))**2.\nAnswer: -336*sqrt(13) + 5797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/9 - 568*u**3 - 1115830*u**2\/9.\nAnswer: -2*u**2*(u + 241)*(u + 2315)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/184 and 75\/17663218.\nAnswer: 70652872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + (sqrt(117) + (sqrt(117) + 1*sqrt(117) - sqrt(117)) + sqrt(117) + sqrt(117) - sqrt(117))*-6))\/(3*1*sqrt(9)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.014 bigger than 78.528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 divided by 20.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107678584 and 7844.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (29939\/(-235) + 119)*40\/(-14)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040442759 to five decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 168, 512, 1098, 1932, 3020, 4368, 5982?\n\"Answer: w**3 + 115*w**2 - 8*w + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 minus 158?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2890*f**3 + 30865064*f**2 - 7262392*f\/5 + 17088.\nAnswer: 2*(f + 10680)*(85*f - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 3 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*x - 3. Suppose -u + 4 = 6. Put x, u, -5 in decreasing order.\nAnswer: u, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 9*l**2 - l + 11. What is w(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6904704789 to the nearest integer?\nAnswer: 83095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260 by 457.\nAnswer: -260\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/509?\nAnswer: -5\/509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.138627446 to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 686 + -668. Calculate the remainder when 178 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 4, o: 3}. Give prob of picking 2 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 3*a**2 - 4*a + 9. Let c be h(6). Suppose c*r - 304*r - 385 = 0. Calculate the remainder when r is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from {a: 1, c: 3, v: 2, y: 4, h: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7705?\nAnswer: 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-6)\/(-4))\/(-1))\/((-54)\/20052) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*c = -25, -6*i + 11*i - 17 = -c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656 = -3*y + 3*z, 4*y - 3*z + 1129 = 6*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263 - -314. Suppose -c*h + 108 = 3*h. Solve -h*t - 20 = 5*p, 3*p - p = -4*t - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) -0.2261 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/21 and 99\/70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 381581225.80000001 + -381581228. Let m = f + 2.2. Round m to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1989863492 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 233 (b) -475 (c) 0.556\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**5\/60 - 3*d**4\/8 + d**3\/3 + 31*d**2 + 41*d. Let j(t) be the first derivative of i(t). What is j(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4427 + 4428. What is the nearest to 9 in n, -0.1, -3, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 + f + 1. Let n be k(-1). Solve n*r - 5*a = 0, -2*r - 3 + 2 = -a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.058 in -1, -1\/5, 5\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 = y. Let s(a) be the first derivative of -a**4\/8 + a**3\/2 - 5*a**2\/2 - 4. Let i(p) be the second derivative of s(p). Give i(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/60 and -7*39\/108 + -2 + 1.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4165066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/4 + 27*z**4\/4 + 133*z**3\/2 + 579*z**2\/2 + 2133*z\/4 + 1215\/4 = 0 for z.\nAnswer: -9, -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 109083*i - 12721644.\nAnswer: -3*(i + 117)*(i + 36244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -r. Let t(f) = 3*f**2 - 5*f - 1. Let n be t(r). Let h(p) = 2*p**2 - 57*p - 2052. Let i be h(-21). Is i equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**3\/6 - 2*s. Let z = -1 + 1. Let w(y) = z*y**2 - y**2 - 2*y**2. Give w(m(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2. Let o(r) = -2*r**3 - r**2 + 2*r - 1. Let z be o(1). Let t be (z\/4)\/(2\/(-8)). Let n(a) = -t*a - 11 + 11. Give n(v(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 = -3. Suppose -r = 3*f + f - 9, 8 = d*f. Let q be (-3)\/(-6) - r\/2. Solve q*g = -0*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (7 + 7 - 10 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 5*z - 6, -4*z + 8 = 4*l. Calculate the remainder when l is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 12) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 17 = -8. Suppose 2*q = k*q - 12. Let h = 26 - q. What is the remainder when 25 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)*1*5)\/(((sqrt(243) - sqrt(243)*-3) + sqrt(243) - sqrt(243)) + sqrt(243) + sqrt(243)).\nAnswer: 5*sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*h + 124*h + 170 = 0. Put 5, 1\/3, h, -1\/3 in descending order.\nAnswer: 5, 1\/3, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1753 + 980. Suppose 7 + 1 = 2*t, 5*p + 4*t + 1814 = 0. Let n = p - f. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3397, 3396, 3395, 3394, 3393, 3392?\n\"Answer: -m + 3398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205675 is divided by 205648.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 29*w - 36*w + 34*w**3 + 2*w.\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 24 = 10*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-218)\/(-2))\/((-110)\/20). Let i = -175\/11 - f. What is the common denominator of i and -81\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1550*s + 45 = -1552*s, -7*s = 2*h - 112 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 3*l - 1. Let u be h(-3). Let j = 2497.5 + -2498. Which is the closest to u? (a) 0.1 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, -10, 4 in ascending order.\nAnswer: -11, -10, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 572\/219?\nAnswer: 572\/219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -3\/1388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -708, -2362, -5582, -10890?\nAnswer: -18808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0 - 176. Let z = d + -17. What is the greatest common divisor of 216 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -3*p**2 - 1\/60*p**5 + 1\/2*p**3 + 0*p + 0 - 1\/3*p**4. What is the tens digit of w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*y - 61, 3*f - 2*y + y - 72 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 24. Let d = 11.928 - i. Let w = d + 0.071941. What is w rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 16*r + 13790000 = 0. Round r to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14392 + -1487. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21\/40, 301, -3, -0.1 in decreasing order.\nAnswer: 301, 21\/40, -0.1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -510500*m**3 - 1542*m**2 + 48.\nAnswer: -3063000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - sqrt(245)*1) + sqrt(80) + 1 - (sqrt(125) + 4 - sqrt(5) - -4*sqrt(5)*-4))**2.\nAnswer: -96*sqrt(5) + 1289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.26, -5, 195, 2\/13, -1.5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3 (c) -4 (d) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:27 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t + 22. Let q(i) = -8*i - 11. Let b(l) = -7*l - 10. Let d(g) = 4*b(g) - 3*q(g). Let k(a) = 7*d(a) + 2*n(a). What is the units digit of k(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-4) + (-247)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 52*l - 3. Calculate b(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134\/3 - -44. Which is smaller: 7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-72)*-3*33*-2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4876063 litres to millilitres.\nAnswer: 487.6063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/1435 and 48\/167485.\nAnswer: 1172395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 6. Suppose 0 = i - 2*w - 7, i - 5*w - 6 = 7. Let m be 1\/k - (-19)\/i. Solve 2*f = -0*f - m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 9. Let o(g) = g - 4. Calculate 14*o(c) + 6*t(c).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*1558\/287 - (-117)\/(-45).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7860, -32020, -72294, -128688, -201208?\n\"Answer: -d**3 - 8051*d**2 + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y**2. Let t(f) = -382*f**2 + f + 349*f**2 - f. Determine t(n(b)).\nAnswer: -2112*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - h + 5 = 0, -6*t + h + 604 - 610 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 + u - 2. Give w(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9721*y - 138240 = 10801*y for y.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68401*b**5 + 2*b**3 + 601322*b**2?\nAnswer: 4104060*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -19)\/((-43)\/(-688)). Is g smaller than 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*v - 224 = 76 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 2815939648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13828 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 - 6*a - 6. Let q(j) = 3*j**2 + 7*j + 7. Let n(c) = 3*q(c) + 2*v(c). Suppose 7*g - 7 = -49. Determine n(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221 divided by -5.\nAnswer: 221\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 15*i - 23. Let d be y(-14). Let h = d + 17. Calculate the least common multiple of h and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + r - 8 - 0, 0 = 5*t - r - 16. Suppose 3 = -t*z - 9, 176 = 2*g - 2*z. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/7 + 516*y**4\/7 + 32758*y**3\/7 - 68116*y**2\/7 - 4680*y + 67600\/7 = 0. Calculate y.\nAnswer: -130, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-150455)*3\/6)\/(3\/6). Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 17.8. Let y = 19 + v. Which is the second smallest value? (a) y (b) 3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4890 - 3393. Let x = -6051\/4 + g. What is the common denominator of 66\/32 + 3\/(-3) and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961102 is divided by 1238.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjwttt. Give prob of picking 1 t and 1 j.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 42224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h**2 + 11*h - 28. Let u(b) = 2*b - 1. Let s(o) = -d(o) - u(o). What is the hundreds digit of s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d + 9*d + 10*d - 35*d + d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssbbstt. Give prob of picking 1 s, 1 t, and 2 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20600)\/350)\/(-103)*5\/(-750)*-21?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u - 7*u + 2*u - 13)*(2*u - 7*u + u) to a*u + c + f*u**2 and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 + 77. Calculate the greatest common factor of l and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2537192 or 2537193?\nAnswer: 2537192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -122*h + 121*h - 13, -5*g = 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 14*a**2 + 11*a - 5. Let d(h) = -15*h**2 - 14*h + 6. Calculate 3*d(i) + 4*k(i).\nAnswer: 11*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3169, -61, -185 in decreasing order.\nAnswer: -61, -185, -3169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*y - 9239 + 9127 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - a = -4 + 15, -3*a = 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8517*-152.66\nAnswer: 1300205.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1 + -1)*-3.\nAnswer: -3*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/5)\/((-253)\/(-85) - 3). Let z = -0.3243 + 0.0243. Which is the nearest to 3? (a) k (b) z (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - sqrt(216)\/sqrt(96))\/(1*sqrt(972)))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394879295?\nAnswer: 5, 23, 1409, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5 - -5) + -8 - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 5:24 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjb when three letters picked without replacement from {s: 6, b: 1, j: 2, q: 3, g: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-28)\/3*(-19 + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*p = 89*c - 294*p - 109, 2*c = 7*c - p - 33 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -5. Let j(k) = k + 11. Calculate the least common multiple of 12 and j(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19068 and 116367.\nAnswer: 739628652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -449*y**4\/3 - 3145*y**3\/3 - 1651*y**2 - 2267*y\/3 - 10\/3 = 0?\nAnswer: -5, -1, -2\/449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) + (-48)\/9. Let c = -3 - w. Suppose -5*u - o = -33, 3 = -c*o - 1. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from psplsslpsrlqqpsqprq.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 7. Let r be n(-7). Suppose -5*t - 10 = 2*y, 2*y - t - 2*t - 22 = r. Solve y*j - 2 - 23 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43632*f = -42278*f - 29788 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2474076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + -40 + -58 - (19 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/24 and 57\/23108992?\nAnswer: 69326976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26646*i - 48 = -26630*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 23*d**2 - 43*d - 28. Determine b(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 31276243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -3 (c) 3899 (d) -1 (e) -3\/5 (f) -28\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 332048948*y**2 - 71*y - 139474?\nAnswer: 664097896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 6*d - 4. Give s(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-3))\/(-4) - (-60)\/(-180). Is (13661\/(-76))\/((2\/(-24))\/c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - (-58)\/(-8)*4. What is the hundreds digit of (-3220)\/(-69)*u\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -9. Let r(u) = -u**3 - 14*u**2 - 29*u + 47. Let h be r(-11). What is the highest common factor of h and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5 - 48*w**4 + 18*w**3 + 372*w**2 + 483*w + 180.\nAnswer: 3*(w - 15)*(w - 4)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/43 - 34\/129. Let f = -0.025 + 0.125. What is the closest to f in -0.2, m, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 9208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.727976 litres?\nAnswer: 727.976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 9. Suppose 0 = 34*i - 237 + 33. Solve 0 = -k*s - n + 14, -3*s - n + i*n + 14 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*z**3 - 572*z**3 - 574*z**3 - 989*z**3.\nAnswer: -2343*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i + 3. Let u be m(8). Let l be ((77976\/285)\/57)\/((-1)\/(-170)). Calculate the highest common factor of u and l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23175865, 23175856, 23175847, 23175838, 23175829, 23175820?\n\"Answer: -9*d + 23175874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 - (46 - -25) - (-3 - -1 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x - 4. Let d be i(-1). Let h(u) = u + 7. Let b be h(-7). Suppose b = -4*r + 3 + 1. Solve 37 = -5*c - d*f, c - 2*f = r - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10349886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 27*a - 181. Let c(r) = 190*r - 1265. Suppose 0 = -6*i - 16*i - 66. Let g(y) = i*c(y) + 20*w(y). Find the first derivative of g(q) wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(114)*-6 - sqrt(114)) + sqrt(114) - (sqrt(114) + (sqrt(114)*-1 - sqrt(114))*2))\/(sqrt(30)\/(sqrt(5)*1) + sqrt(24)\/sqrt(4)*5).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (43 - 68)) + 6 + -59?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 892*c - c**3 - 208*c + 880*c.\nAnswer: -c**3 + 1564*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -4. Let o be s\/(-8) + 60\/16. Solve o*z + 1 = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 122517, 245035, 367553?\n\"Answer: 122518*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 110*r + 76. Let b be t(4). Let y = b - 9397\/18. Calculate the common denominator of y and -19\/345.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*y = 10, -5*y + 23 = -3*h - 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 589 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1170325*x**3 + 1429687.\nAnswer: -3510975*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 14. Let f(o) = o**3 - 6*o**2 + o + 2. Calculate the remainder when f(6) is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-40)\/(-16))\/(6\/12). Suppose -d + 3*o - w = d, -4*d + 3*o = 1. Solve 40 = -d*t - 6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**9\/1890 + i**8\/480 - i**7\/630 - i**6\/360 - i**4\/8 - 2*i**2. Let p(h) be the second derivative of l(h). Factor p(j).\nAnswer: -2*j*(j - 1)**2*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3606 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: Simplify m**19\/m**(-2\/11)*((m*m\/(m\/m**(-20)))\/m*m)\/(((m\/(m*m\/(m\/(((m*m**(-7))\/m)\/m)*m)))\/m)\/m) assuming m is positive.\nAnswer: m**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 24*a**3 - 7*a**2 + 6*a + 8. What are the prime factors of j(3)?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41516*l**3 - 83018*l**3 + 41507*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -55*y - 134. Let z be t(-3). Solve 3*r + 3*k = -9, 26*k = r + z*k - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, u: 2, x: 2}. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*o + 2*r - 64, 2*r = -3*o + 46. What is the lowest common multiple of o and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104169828 to the power of 1\/2, to the nearest integer?\nAnswer: 10206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*a**3 + 150*a**3 - 5 + 5.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.3 (c) 10064 (d) 1321\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 3*l - 2*l)*(2*l + 2 - 2) + 5*l - 60*l**2 - 5*l + 16*l**2 + 1 - 9*l**2 - 8 as c*l**2 + m + f*l and give c.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + 157*b**2 - 155*b**2 + 87*b in the form g*b**2 + n + z*b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtaiiititiitiii. What is prob of picking 1 a and 2 w?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1205, -63, 15, 4\/9.\nAnswer: -63, 4\/9, 15, 1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(40)\/sqrt(5)) + 4.\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 3. Let d be k(-3). Let o be (-5)\/2*d\/(-15). Let f be 1 + 0 + 1*3. Which is the biggest value? (a) 2\/9 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/81)\/((-40)\/12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 26?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + (0 - -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3))**(-4\/21))**16\/((g**1*g)**(4\/25))**(-4\/7) assuming g is positive.\nAnswer: g**(-1312\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3644 and -1.229.\nAnswer: -4478.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**4 - 3*p**3 - p**2 - p + 1. Let j(o) = 17*o**4 - 29*o**3 - 6*o**2 - 6*o + 6. Let m(c) = 30*i(c) - 5*j(c). Suppose m(u) = 0. Calculate u.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -5. Let x = 2.7 - 3.2. Which is the third biggest value? (a) -4\/7 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.968 + 23.578. Let r = -18.5 + b. Round r to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4396*k**2 - 4394*k**2 - 14 + 14.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10011011110001 (base 2) to base 16\nAnswer: -26f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 850 = -6*s. Let x be 7\/(63\/6) + s\/(-15). Solve 1\/3 + 1\/2*i**3 - 1\/6*i**x - 1\/6*i**2 - 1\/2*i = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -351, -357, -373, -405, -459, -541?\n\"Answer: -p**3 + p**2 - 2*p - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1338144 divided by -27878\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13705 is divided by 1350?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/14 and (-11 + 2)*1\/(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 117502. Let o(q) = 8*q + 1. What is o(x(u))?\nAnswer: -16*u**2 + 940017","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1325 and -17\/48230?\nAnswer: 241150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6117 + 10774. List the prime factors of w.\nAnswer: 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24*(2833832\/3264)\/311\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 2:52 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16568519, -16568516, -16568501, -16568468, -16568411, -16568324, -16568201?\n\"Answer: t**3 - 4*t - 16568516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 24*k**2 + 66*k - 11. Determine l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1839165000 rounded to the nearest one million?\nAnswer: -1839000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132363797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2 + 16. Let d(w) = -6*w + 23. Is 8 a factor of d(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39564, -39555, -39546, -39537?\nAnswer: -39528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**3 + 7\/6*y**4 - 22*y + 1\/15*y**6 + 4 + 0*y**2 - 1\/2*y**5. Factor c(i).\nAnswer: 2*i*(i - 3)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 20*p**2. Let b(t) = t**2 + 4*t. Let z(u) = 6*u**2 + 30*u. Let w(n) = -45*b(n) + 6*z(n). Determine v(w(y)).\nAnswer: 1620*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 221.2 - 220.097. Let y = 1.18 - d. What is y rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let l(f) = 2326*f**2 - 2319*f**2 - 7 + 0 + 8*f - 8. Let t(g) = -7*g**2 - 9*g + 12. Let r(v) = -4*l(v) - 5*t(v). Give r(s(h)).\nAnswer: 28*h**2 - 26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1548150, 1548746, 1549342, 1549938, 1550534?\nAnswer: 1551130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 + 10 = 0. Let v = 0.05 - -0.75. Let i = 4.8 - v. Put o, i, 1\/7 in decreasing order.\nAnswer: o, i, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 730\/8*(10 - 6) - 3. Sort h, -5, 1, -3 in decreasing order.\nAnswer: h, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.865 + 974.865. What is the third biggest value in 0.5, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23022535 (base 6) in base 7?\nAnswer: -5655521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -9. What is the derivative of -6*c**l + 56 + c**3 - 50 wrt c?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p**2 - p + 6*p**3 + p**3 - 6*p**3 - 13. Let x be t(-13). Suppose o - 3*g - 31 = x, 0 = -3*o - 4*g + 46 + 34. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13239 and 0.163.\nAnswer: 2157.957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 0*j**2 - 3*j**2 - 2 + 2*j**2 to the form a*j**2 + v + c*j and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853990 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0 + 1\/2*u**4 - 128*u**2 + 0*u + 0*u**3. Let n(q) = -3*q. Let a = -12 + -3. Calculate a*n(r) - 4*x(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.71 to one decimal place.\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7464, 29814, 66930, 118692, 184980, 265674, 360654, 469800?\nAnswer: 592992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofm when three letters picked without replacement from {b: 6, o: 3, f: 1, m: 6, r: 1}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(70 - 176 + 79)*(1 - 1 + 3*d**2).\nAnswer: 162*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(w**4 + 2*w**4 - 9*w**4 - 13*w**4 + 4*w**4 + 11*w**4 + (7*w**2 + 6*w**2 - 6*w**2)*(3*w**2 + 0*w + 0*w)).\nAnswer: -34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + 10*z**2 + 33*z + 14. What is f(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 5:52 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:55 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19 - (-9 - 12))*(1 - 2). What is the nearest to 0.1 in -5, -0.21, -2\/9, k?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -819*a + 11*a**2 + 819*a. Suppose -18*z = -14*z - 156. Let g(f) = 12*f + 13*f - z*f + 12*f. What is d(g(b))?\nAnswer: 44*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1240\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Let n = 4 - 19. Let g = -18 - n. Which is the closest to -2\/5? (a) 4 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*d = -74, -4 - 1 = d. Let w = 52 - n. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 303 + 308 - 1738*q - 611 to the form d + c*q and give c.\nAnswer: -1738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c**2 - 657*c**2 + 80*c**2.\nAnswer: -552*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2. Let s(f) = 529417*f. Calculate c(s(x)).\nAnswer: 280282359889*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 9826*g**5 - 302872*g**4 - 702168*g**3 - 117604*g**2 - 6794*g - 132 = 0.\nAnswer: -2, -1\/17, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -13*w**2 + 11*w + 7. Let i(c) = c**3 - 51*c**2 - 340*c - 111. Let v be i(57). Let k(o) = -6*o**2 + 5*o + 3. What is v*g(s) - 7*k(s)?\nAnswer: 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(528)\/(sqrt(120)\/(sqrt(10)*-2 - sqrt(10))))**2.\nAnswer: 10692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 6. Let z be b(-1). Suppose -z*k = -9*k - 154. List the prime factors of k.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 + 71. Let h = -21 - f. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15405 = 2126*g - 29241 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-46)*(-11 + 10). Let q = v - 12\/253. Sort q, -1, -0.2 in descending order.\nAnswer: q, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/245*(-4)\/(-6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Let a be (-2)\/f + 28\/20. Let x = a + 1. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, -2, 0, 29.\nAnswer: -5, -2, 0, 14, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*t + 3*t. Let v be 0 - 1 - t*7. Is (30\/(-8))\/(2\/v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eteroetftohttre. Give prob of sequence rt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*h - 33. Suppose h*x - 1 = 15. Is 4 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/15 - (-1079)\/5. Suppose 6*o - j = 2*o. What is the highest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 + -0.01. Let w = 0.1 - g. Which is the closest to 2? (a) -1\/6 (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 - 65*d + 58. Give o(20).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 683888 - 0?\nAnswer: 683888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(847) - (1*sqrt(847) - sqrt(847)) - sqrt(847))*-4 - (sqrt(847) + -3 + -1 + sqrt(847) + sqrt(847))) + 0).\nAnswer: -66*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-25)\/((-1125)\/31080))\/(2\/3) is divided by 265.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -29*n**6\/120 - n**3\/3 - 11*n**2 - 22. Let x(g) be the second derivative of v(g). Differentiate x(m) wrt m.\nAnswer: -87*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14327153 (base 9) to base 4\nAnswer: 123012123222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -196, -2, -1232 in descending order.\nAnswer: 20, -2, -196, -1232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 461918 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 66516*p - 1865584.\nAnswer: 4*(p - 16657)*(p + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/4 - 5\/20. Let n(u) = -u**3 + 6*u**2 - 4*u + 5. Let b be n(c). Suppose 0 = -0*k - 2*k + b. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 17*c - 58. What is t(-19)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 25*y + 39. Calculate j(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 2) + -80 + (-8 - -5)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283120 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 157*g**2 + 48*g - 1597. Is x(-156) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/3163962 and 77\/30.\nAnswer: 15819810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 + 9*c + 4. Let v(r) = r**3 + 2*r + 1. Let z = 9 - 9. Let h(s) = -s**3 + s**2 + s - 9. Let p be h(z). What is p*v(d) + 2*k(d)?\nAnswer: -d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 431.999997645 + -432. Round y to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*5\/((-20)\/(-22))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 346246 and 2250599.\nAnswer: 4501198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from gggjqqoqoqqt?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 2*i + 3. Suppose -4*j = -4*r - 8, -2*j + 10 = 2*r - 6. Calculate the remainder when 194 is divided by l(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 86. Which is the nearest to q? (a) -4 (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 f when four letters picked without replacement from gfgfgffgggg?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * -0.03\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 15250*s - 3563625.\nAnswer: -5*(s + 255)*(s + 2795)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 201b5a81?\nAnswer: 201b5a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 7. Let r be d(-8). Suppose -4*z = 21 + r. Is 17 a factor of 2\/6 + (-267)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 10656356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 6:55 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1106 + -1102 + (58 - (-1 - -2)) + (-1 - -1).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.45 rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-10 - (-5 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 464.6 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvegmeeveegrverrvr. What is prob of picking 2 m, 1 e, and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315) + sqrt(315) + (sqrt(315) - -1*sqrt(315)*-2))\/sqrt(5) - (0 + sqrt(567) + (sqrt(343) + 2)**2).\nAnswer: -347 - 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**4 + a**4 + 0*a**4)*(-4*a + a + a) - a**3 - 3*a**5 + 2*a + 84*a**4 - 84*a**4 - a**2.\nAnswer: 5*a**5 - a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5812, -5502, -5124, -4678, -4164, -3582?\n\"Answer: 34*s**2 + 208*s - 6054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 2*n**2 - n + 1. Suppose 3*q = 4*t + 10, 2*q - 5*q = 3*t + 18. Is 3 a factor of l(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 16 = 14*k. Is 1 + k - -11 - (1 - 0) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4960 by -1.\nAnswer: 4960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 34 = 10*r - 8*r, 2*f = -3*r + 51. Suppose -2*b + 2 = -332. Calculate the remainder when b is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 0.01029.\nAnswer: -0.48971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 2. Let i(a) = -a + 0 - 3 + 6. Let z be i(5). Let t be y(z). Solve t*h - h - 4 = -r, 3*r = -2*h + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*q = -34, 0*i - 4*q - 23 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 18 = 0. Suppose -3*v = -0 - 18. Let h be 3 - (-11 + (v - 2)). Solve 0 = j*p - p - h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 12*g**2. Let d be i(-12). Let t = 4 + -4. Let m be 6\/(-1 - t - -3). Sort 2, d, m in decreasing order.\nAnswer: m, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53 + -4?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*j**2 + 209 + 15*j**2 + 98*j**2 + 204 - 409.\nAnswer: 163*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1952009*x - 11826821.\nAnswer: 1952009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*z + 13108 = -177*z + 48*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -8. Let t(v) = v**2 + 12*v + 2. Let g be t(-12). What is the closest to 0.1 in 0.2, x, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/7 - 14292*n**3\/7 + 3112038*n**2\/7 - 168469192*n\/7 + 165371448\/7 = 0?\nAnswer: -7359, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 - -4.75. Let t = 0 + 1. Let p be (-80)\/(-12) + (-1)\/(-3). Sort p, t, o in increasing order.\nAnswer: t, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 218 = -4*m + 200, 3*g = 6 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**4\/6 + 652*s**3\/3 - 79707*s**2 - 3052. Factor r(y).\nAnswer: -2*y*(y - 489)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 2. Let c = -57 + l. Suppose 346 = 7*a - c. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1927 + 2896. Let q = 1822 - v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*r - 5 = 0, -4*x + 3*r - 2 = -4. Let v = x + 3. Solve -o + 0*o - 14 = 3*w, -v*o = 3*w + 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 193636 + 108?\nAnswer: 193744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*u, 9150*u = 9153*u - 3*y + 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*z + 94, z - 52 = -c - 11. Let i = -87 + c. Calculate the common denominator of 61\/9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + p + 13499 + 2584 - 6*p - 49.\nAnswer: -2*p + 16034","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 108 = -2*j, 0 = j + 2*j - o + 167. What is the units digit of (1 + 0)*j\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 14.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 8*h**2 + 20*h. Let r be c(10). Suppose r = -10*v + 681 + 5039. Is 38 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/162 and -37\/4.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1953)\/930)\/(6\/35) and 59\/492?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 13*v = 24*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**3 + 15*z**2 + 2214*z + 29160 = 0.\nAnswer: -27, -18, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2872 and 8424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*c - 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010000100101001011 (base 2) to base 13.\nAnswer: -b7302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 3, -27*u = -f - 26*u - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.2 + 1.8. Let f = 12.3 - p. Let w = 33 - 131\/4. Which is the third smallest value? (a) w (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240 take away 0.2205?\nAnswer: 1239.7795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 5975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 306\/18 + -14 - 528\/14. Which is greater: t or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271473559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 47 = -17*b + 12*b, 89*b + 5*v - 603 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*z + 1973 - 108*z - 1973 - 91*z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-15) - 96\/30. Let s be (h + 2)\/(2\/(-12)). Which is the second smallest value? (a) 1\/5 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28366 is divided by 2025?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/15)\/(m*m**(-14\/3)))\/((m*m*m**(-3\/5))\/m**(-2)))**(37\/3) assuming m is positive.\nAnswer: m**(296\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/161 + -8\/23. Are 44 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2142, -10220, -23678, -42516, -66734?\nAnswer: -96332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 6007 = -6139. Put 3, -2, -1, -22, p in descending order.\nAnswer: 3, -1, -2, p, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = y + 5, -18 = 4*y + 4*t + 18. Let i(z) = -z**2 - 20*z - 14. What are the prime factors of i(y)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (23 - 16) + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7*w**3 + 8*w**3 - 3*w**2 + 1)*(-1 + 0 + 0)*(0 + 0 + 3).\nAnswer: -3*w**3 + 9*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1280 divide 34606069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 11 = 5*t, 13*t + 11*b = 7*t + 92 + 176 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.047.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -163484.\nAnswer: 1\/40871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2685338 and -11.\nAnswer: -29538718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/87, 5\/19, 18?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152922412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31\/60 - -5\/12. Let y be (-3)\/(-2)*(-16)\/12. Let v(j) = j + 10. Let h be v(-9). Which is the second smallest value? (a) -5 (b) y (c) h (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116804 is divided by 245?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 2119103.\nAnswer: 2119108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/3, 4, 0.47, -0.179, 5 in decreasing order.\nAnswer: 5, 4, 0.47, 0.4, 1\/3, -0.179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-17)\/5 - 17\/(-5). Let t(w) = -12*w**2 + 2 - k - 2*w + 11*w**2. Determine t(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-75)*-5*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, 9.\nAnswer: -7, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*l - 91 - 165 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) - sqrt(34)\/sqrt(2)) + -4*sqrt(136)\/sqrt(8))**2 + (3 + 4 + sqrt(833))**2 + 4.\nAnswer: 98*sqrt(17) + 1158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44*24\/12672 - (-15)\/(-27)*(-603)\/12.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 14*u**2 - 18. Determine l(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 4*m - 5. Suppose 2 = -3*n - 4*x + 1, 11 = -n - 4*x. Let f be w(n). What is the common denominator of 0 - 3\/(f - -2) and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-42)*2\/(4\/(-1)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103 in -6.9, 3\/2, 6, -2, -3\/44?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12203 + 2?\nAnswer: -12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*y + 3 + 3 = 0, 2*w - 5*y = -14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -260 + 606. Is 31 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 52, 39, 26, 13, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(16 - 16 + y**5 + 17*y**4 + y**5 - 17*y**4 + (-y**2 - y**2 + 3*y**2)*(-3*y**3 + 4*y**3 + y**3) - 2*y**5 + 2*y**5 + 3*y**5).\nAnswer: 14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (34 - 35)\/(373\/(-503)). Let g = 155635\/88028 - q. Calculate the common denominator of -65\/2 and g.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5909 and 37867.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1466*j**3 + 726*j**3 + j + 723*j**3.\nAnswer: -17*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11214899 divided by -128?\nAnswer: -11214899\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r - d = -2, r + 2*d = 9. Let a be 70\/8 - r\/4. Let q be (-22)\/8 - (-27)\/a. Put q, -7, 2 in ascending order.\nAnswer: -7, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + m**2)*(0*m**2 + m**2 + m**2) - 4*m + m + 2*m + m**4 + (16*m - 16*m - 12*m**2)*(-2*m - 2*m + 5*m)*(-m - 4*m + 0*m).\nAnswer: 63*m**4 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3359 or 3\/25?\nAnswer: -3359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 694.3762 to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6548*c**4 + 2749*c**2 + 18*c - 24. Let b(y) = y**4 + 3*y - 4. Let w(d) = -6*b(d) + s(d). Find the third derivative of w(f) wrt f.\nAnswer: 157008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Suppose 3*i = 6*o - o + 11, 36 = q*i + 4*o. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**2 + 0 - 1\/30*l**6 + 0*l**4 + 17*l + 8\/15*l**5 + 0*l**3. Factor p(x).\nAnswer: -4*x**2*(x - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102*k + 2 - 102*k - 4*k**2 + 5*k**2 - 3*k**2 - k**2 + (-4 + k + 4)*(-1 + 2*k + 1) + k**2 + 1 - 1 + k**2 + k**2 - 3*k**2.\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78782 = 46*x - 6226. Is 28 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 - 114*o + 21. Let t = -258 + 297. List the prime factors of v(t).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*v**2 + 10831 - 178*v**2 - 10832.\nAnswer: -79*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13733484 is divided by 1564.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2730)\/(-120) - 23)*(-2)\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/7 and 68\/27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/170 and 89\/880.\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -251?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/75)\/((-8)\/140 - (-16)\/2240)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3018217 to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) - sqrt(78)\/sqrt(6)*4 - (3 + sqrt(1300)) - (-1 + -3 + sqrt(13) + sqrt(13) + -3 + 5)))**2.\nAnswer: 480*sqrt(13) + 46816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - -135. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.1412 + 6.2567. Let o = w - -16.9. Round o to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 34, 85, 178, 325?\n\"Answer: 2*l**3 + 3*l**2 - 2*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 less than 1369304843?\nAnswer: 1369304884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.19 and -82.8478.\nAnswer: -82.6578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 441660671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10001100011100 (base 2) to base 7\nAnswer: 35130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/2 - 13*f**3 + 9*f**2 - 30*f - 21. Let x be c(-20). Solve 0 = -6*p + 4*p - x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -5*v**4\/4 + 2*v**3 - 19*v**2. Differentiate g(s) wrt s.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57130 by -5.\nAnswer: 11426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24664 is divided by 3190.\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - m - 3)*(620 - 311 + 12*m - 310).\nAnswer: -12*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/70*10\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - w**2 - w**2 + 3*w**3 + 2633*w - 2641*w to the form m + z*w**3 + f*w**2 + s*w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 11. Suppose 4*g = o*g - 36. Suppose 2*b = -2*b + g. Solve 0 = b*l - 0*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-9))\/(8\/726). Let v = -62 + y. What is the biggest value in 0, -0.4, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4955032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -43444.9881 to 0 decimal places.\nAnswer: -43445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*m**5*q**2 - 39421*m**5 - 10276*m**2 - 207*q**2 wrt m?\nAnswer: -2100*m**2*q**2 - 2365260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.052 + 3666.852. What is s rounded to the nearest ten?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -243*m**3 + 123*m**3 + 125*m**3 + (-1 - 2 + 6)*(-2*m + m**3 + 2*m) as x*m**3 + i*m**2 + n*m + j and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -53\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415 a factor of 38780956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-2))\/(149\/(-149))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 5) in base 6?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 + 3*i - 4. Let k(o) = -4*o**2 + 4*o - 4. Let j(m) = 6*c(m) - 5*k(m). Factor j(f).\nAnswer: 2*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*u**3 - 166*u**3 - 171*u**3 - 166*u**3 + 834*u**3 - 165*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4683\/4, 3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5996 (base 11) to base 3.\nAnswer: 101202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222111 + 1000112?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/37, -0.5, 0.5, 0.04, -1, -0.139?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 2 - (10 - 1)) + 92 + 5 - 14.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5219460 and 16260?\nAnswer: 5219460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2751448.\nAnswer: 2, 7, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(45)\/(sqrt(36)\/(sqrt(36) + sqrt(4))) - ((sqrt(405) + -1)**2 + 1))*-1.\nAnswer: -2035 + 110*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2701165 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8197 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + -23)\/((-3)\/(12\/(-8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 0*w + 0*w + (58 - 11 + 25)*(-2*w - w + 4*w).\nAnswer: 73*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29947547 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 8*q**2 + q + 10. Let j(h) = -h**2 - 5*h + 2. Let t be j(-4). Suppose t + 2 = y. Does 11 divide m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 11843\/72421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/135549?\nAnswer: 2\/135549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-14\/3)\/(m**(7\/6)\/m) assuming m is positive.\nAnswer: m**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3)*(-q - 2*q + 2*q)*(2 + 18307*q + 134*q**2 - 18307*q).\nAnswer: -536*q**3 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + 7*q)*(20*q + 24*q - 8*q).\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 1:01 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2549 + 2551. Which is the fifth biggest value? (a) z (b) -4\/5 (c) 0 (d) 0.1 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14150, 14147, 14146, 14147?\n\"Answer: h**2 - 6*h + 14155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6432 * -55\nAnswer: -353760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123357 is divided by 5139?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53580.3734605 take away -0.1?\nAnswer: 53580.4734605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.33729438 rounded to 2 decimal places?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**3 + 2*y - 20869 - 20928 + 41919)*(-7*y + 3*y + 2*y) as s*y**2 + f + x*y**3 + w*y**4 + p*y and give p.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4270096 divided by 3\nAnswer: 4270096\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139.933 - -7.963. Let v = b - -132. Is 15 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326801 is divided by 65329.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 18*l - 55*l + 32*l - 44 = -0*u - 3*u, -3*l - 12 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7800078818 to the power of 1\/2, to the nearest integer?\nAnswer: 88318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 332 + -330. What is the third derivative of -114*g**6 + 1292*g**2 + 1388*g**i - 2790*g**2 wrt g?\nAnswer: -13680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 4*x = -15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 2, 0, -11 in increasing order.\nAnswer: -118, -11, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/3 + 280946*b**2\/3 - 187295*b - 280944 = 0.\nAnswer: -1, 3, 280944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 479369551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-12) - ((-3)\/4 + 0). Solve 4*b = r - 3 + 6, w*b - 4*r + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 3) + -3 + 3\/3. Let p(n) = n**2 + 10*n + 2. Calculate p(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*s + 120*s = 64*s - 532 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6664417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) 0 (c) 26 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/6 + 5*y**3\/21 + 2*y**2\/7 - 4750*y. Factor r(x).\nAnswer: -2*(x - 1)*(7*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9376*y - 196137. Determine s(21).\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -0.06\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 7*j + 60 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -15*f**2. Let v(y) = -y - 1. Let h(z) = z - 1. Suppose w + 3*d - 3 = -2*w, 12 = -2*w + 5*d. Let n(g) = w*h(g) + v(g). What is n(r(s))?\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*z**2 - 41 - 107*z**2 + 8 - 27 wrt z.\nAnswer: -260*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94415 divided by 5\nAnswer: -18883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13da (base 15) to base 14\nAnswer: 179d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 816479 - 297920. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/4933 - 419277\/69062. What is the common denominator of 57\/16 and j?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiip when four letters picked without replacement from piipiii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4224 a factor of 5448173694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 26 = -5*g, 41*g = -v + 37*g + 21 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*3\/(-8))\/(-2). Let q = -83.6 - -73.6. Which is the nearest to 0? (a) l (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (39\/9 + 1)*(-6)\/(-4) is divided by 5\/((-1 - 1) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -768 - -2999. Let c = v - 2147. Let m(i) = i**3 - 3*i**2 + 6. Let o be m(5). Calculate the highest common factor of o and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 6 = 3*l + b, 2*b + 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/(-1)*3\/(54\/5)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*n + 4, -3*n + 5 = k - 4. Suppose 6*a - 20 = n*a. Solve 1 - a = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1728 = -4*a. Suppose 3*h - 3*y = a, 0*y + 859 = 3*h - 4*y. What is the hundreds digit of 5 + h + (1 - 5) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8144 is divided by 476?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1211559.202 to the nearest 10.\nAnswer: -1211560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 33*a**5\/20 - 5*a**4\/24 + a**3\/6 + 46*a**2. Suppose -26 = -4*m - u - 4*u, -3*u = -6. Is v(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2\/7 (c) 0.178 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - a**2 + a**2. Let j be 0 - ((-2)\/1 - -2). Let p(m) = -2 + j*m**2 + m**2 + 2. What is g(p(y))?\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (40\/20)\/(132\/(-38)) and 28\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 338*s - 340*s + 78. Let d(h) = h**3 - h**2 - h + 10. What is the smallest common multiple of (-46)\/(-299) - (-462)\/s and d(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -607*s**2 + 4*s - 4. Let d(j) = 9711*j**2 - 65*j + 65. Determine -4*d(c) - 65*i(c).\nAnswer: 611*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 296*v + 299*v = 1027795, 3*v + 3 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 - 2)*(1445*m + 1515*m - 2791*m) + (0*m + 2*m + 0*m)*(4 - 2 + 0).\nAnswer: -165*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21218, 21222, 21230, 21242?\n\"Answer: 2*d**2 - 2*d + 21218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 9480241*q**5\/180 - 3079*q**4\/12 + q**3\/2 - 13423*q**2. Factor u(w).\nAnswer: (3079*w - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2902143968.\nAnswer: 2, 47, 1929617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3082*z**3 - 1136*z**3 - 8927*z**3.\nAnswer: -13145*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/11)\/(j\/j**(2\/13)))\/(j*j**(1\/13)*j*j*j*j**(5\/8)\/j) assuming j is positive.\nAnswer: j**(-4891\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 103*n + 1680 = 65*n. What is the remainder when 215 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23532207?\nAnswer: 3, 73, 107453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/2173 + 56531\/71709. Let r be 29\/(-33) + (-2)\/(-6). Let t = u - r. What is the closest to -2 in -1\/6, 1\/10, t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 184588782.\nAnswer: 184588777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -781 - -1142. Let w(f) = -364 - l + 729 + 2*f. Suppose h = 1, h + h = 2*c - 6. Give w(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 less than -17299\/118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*m + 2*p + 27, -2*m - 3*p = 0. Suppose c = -t + 5, -m*c - t + 6*t = -39. What is the remainder when 15 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + j + 4. What is the units digit of b(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 1. Let f(b) = 4*b + 1. Let d(q) = -q. Let x(o) = 5*d(o) + f(o). Give x(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*f + 0*f - 35 = 0, 3*y + f = 50. Suppose -77 - 79 = -12*v. Suppose -v - y = -4*z. Solve -3*q = -z - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1678796 by 143.\nAnswer: 1678796\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -323863.72 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 10. Let f = 3 + i. Let m be ((-10)\/(-285))\/(1\/f). What is the second biggest value in m, 3\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*a**2 + 141*a**2 + 32*a**2.\nAnswer: 128*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 198\/(-30) + 7 + (-496)\/(-10). Suppose c + 5*q - m = 0, -3*c + 0*c - q + 136 = 0. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1189\/9 - 133. Suppose -5*l = 5 + 5. Do n and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-1 - ((-18 - -25) + -16). Solve -2*g + 29 = 21, 3*s + 2*g = d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 590 - 587. Solve g*v + v = 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-10))\/((-59)\/(8555\/87))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*z - 47 - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*c**2 + 99*c + 2*c**2 - 97*c)*(-3 - 4*c + 3) + 1 - 4*c**3 - 1 to the form d*c**3 + x + m*c + s*c**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 3*x + 4. Let c be ((-4)\/10)\/((-4)\/40). Let i(r) = -3*r**2 + 4*r - 5. Let s(y) = c*d(y) + 3*i(y). What are the prime factors of s(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 + 485*m**2 + 2883*m + 4311 = 0.\nAnswer: -479, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 263 (base 10) to base 8\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x - 0. Let y(i) = 246382*i - 492756*i - 1 + 246398*i. What is y(x)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*g - 36 = -k, -4*g + 6 = 2*k. Let v = k + -6. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1614\/4 - (-3 - -1). Let m = 394 - k. What is the common denominator of 75\/14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**6\/12 - w**3\/3 + 13*w**2. Differentiate a(f) with respect to f.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 4.6 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -20 (b) -11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227196689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 994 - 982.97. Let t = 1.73 - y. What is t rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 20*r**2 + 12*r**2 + 26*r**2 + 6*r - 16*r**2 - 6. Determine j(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99761 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 22 + 32)*(4*o**2 + o**2 - 4*o**2)*(-4 + 5 + 0) in the form f + b*o + l*o**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 4440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95765 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 151408 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:04 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2)*(8 + -13). Let c be -13*(-1)\/(-25)*j. Which is bigger: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*l**3*v + 75632*h*l**2 + h*l*v - 18*h*v - 9*h + 65*l**2 + 3*v + 3039 wrt l?\nAnswer: 6*h*l*v + 151264*h + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 79*p**3 + 25*p - 18*p**2 - 81*p**3 - 5*p = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -2\/9*j**4 + 0*j**2 + 0*j + 25\/3*j**3 - 39 + 7\/180*j**5 + 1\/540*j**6. Let v(w) be the third derivative of k(w). Factor v(a).\nAnswer: 2*(a - 1)*(a + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -67, -87, -107, -127?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + z)*(0*z**2 + z**2 - 2*z**2) + (1 + 4 - 1)*(7 - 7 + 4*z)*(2*z**2 - 3*z**2 - z**2) as k*z**3 + r*z + g + t*z**2 and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/1681 or 0?\nAnswer: 18\/1681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -710618\nAnswer: -142123.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 158*f = -161*f - 55, 0 = -62*f - 310 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 696*m + 3465. Determine b(-4).\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*l - 1295 + 161*l - 176*l + 66*l wrt l?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 4*l**2 - 5*l - 3. Let s be j(-4). Suppose 3 - 7 = 2*y. Let z = s + y. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1268312, -1268325, -1268352, -1268399, -1268472, -1268577, -1268720?\nAnswer: -1268907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2236645 + -2476?\nAnswer: 2234147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1256\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 2*u**2 + 5*u - 2. Let t be n(-2). Suppose i + 4*f - 6 = 6*f, -t = 2*f. Is 2 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 2 + 6 - 4. Let p(s) = -10*s - 4. Let n(o) = -7*o - 3. Let x be 3\/(-6)*1*14. Let k(u) = x*n(u) + 5*p(u). What is f(l) - 4*k(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20069 minus 9869123?\nAnswer: -9849054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, q: 9, g: 3, o: 5}. Give prob of picking 1 a and 2 g.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20541507*j**3 - 287*j**2 - 5220*j?\nAnswer: 123249042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + q)*(-9 - 6 + 3).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -26*z - 17. What is the hundreds digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.233, 0.422, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -797401\/195276 - -2\/16273. Let c = -31057\/2320 - -67076641\/3881360. Let w = c - -8\/239. Calculate the common denominator of w and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51270 - -0.4\nAnswer: -51269.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (sqrt(1872) - (-2 + sqrt(1872))) - sqrt(1872))**2.\nAnswer: -5643 - 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18716*o**2*r**2 - 263*r**2 wrt o?\nAnswer: 37432*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6732874 minutes in days?\nAnswer: 0.00602311625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-11*d**3 - 13*d**3 + 13*d**3) + (3*d**2 - 6*d**2 + d**2)*((-3 + 3 - 8*d)*(-4 + 5 - 4) + 5*d - 4*d + 0*d).\nAnswer: -39*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*w**2 - 8 + 8 + 106*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315384, -630770, -946156?\nAnswer: -1261542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 34627743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*m - 2363*m - 731*m - 568*m.\nAnswer: -3857*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 2236*x + 509784. Give u(799).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 21*p**2 + 124*p + 101. Calculate g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -42. Suppose -4*p = f - 4*f + 35305, j = 3*p. Let d = -30775 + f. Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:18 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784984903?\nAnswer: 13, 137306531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1dd5 + -68?\nAnswer: -1e4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33316370 (base 8) in base 13?\nAnswer: -1646973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -8, 78, 3\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 41 = -t, -5*k - 6 = -3*k. Suppose 5*m - 161 = -2*x, -28*m - 113 = -33*m + 4*x. Calculate the remainder when t is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009356 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -143, -172, -223, -302, -415?\n\"Answer: -n**3 - 5*n**2 - 7*n - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11846 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341933 is divided by 68265?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 less than -4?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -1\/105*j**7 + 0*j - 1\/12*j**6 + 3\/4*j**4 - 1\/10*j**5 + 0*j**3 - 2*j**2 - 42. Find n such that i(n) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:52 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.54, 7\/4, -814\/3 in increasing order.\nAnswer: -814\/3, 0.54, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-36))\/((-4)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 156 + 216. Calculate the remainder when f is divided by 3*15\/(-9)*(-22)\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.1. Let c = -1.7803 - -0.6803. Is c smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.1. Let f = -21 + 16. What is the nearest to 0.1 in 2, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20250 or -20247?\nAnswer: -20250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 5712?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*h - 15, -5 = w - 2*w + h. Suppose -v - v - 4 = w. Let z be (-3)\/2*v\/(-3). Which is smaller: -2\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -352449000 to the nearest 1000000.\nAnswer: -352000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*r + 2*r + 415 = 0, -3*t + 2*r + 245 = 0. Calculate the remainder when t is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*u - 28 = 261*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*30\/45*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 75\/(-20) + (-2)\/8. Suppose 34*x + 36 = 31*x. Let w = -7 - x. Solve -4*k + 2*s - 6 = 0, -w*s = -k + y*k + 29 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4415, -17792, -40071, -71240, -111287, -160200, -217967, -284576?\nAnswer: -360015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 8362*y - 331278. What is a(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqqttdddt. What is prob of sequence qtqd?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23717 - 944*l**3 + 474*l**3 + 473*l**3 + 164.\nAnswer: 3*l**3 - 23553","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 209732 = 4*x, 5*x = 11*y - 16*y + 262165. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35501 >= 39305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9398.055 + -9398. What is the smallest value in j, 0.4, 4.6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100599 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 2. Let g(h) = -h + 1. Give -7*g(s) - 4*w(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 597 - 537 = 0. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 23, 47, 87, 149, 239, 363?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/18)\/(1\/(-6)). Suppose j = -4*s + 15, -d*s + s + 6 = 0. Suppose i + 20 = 4*f, -2*i = -2*f + j + 13. Solve 0 = f*y - 2 - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/(-62))\/((-5)\/((-400)\/15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2, 2*v = 4*v + 4*d - 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60460 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 6*p + 18. Calculate the remainder when (0 - 1)*(-31 - 0) is divided by g(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3763 - 3687. Calculate the remainder when 3112 is divided by g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-10) + (-7)\/(-5). Let x be 1 - ((-3 - -1) + -2). Suppose 3*c - 20 + x = 0. Solve 12 = 5*p - k, -c*k + b = 2*p - 4*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*x + 9657 = -811*x + 347*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 11*s + 5. Let h be u(-6). What is the lowest common multiple of 10 and (-44)\/(-10) - 14\/h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/3 - 11 - (-1 + 0). Let m = 0.4 - 0.3. Let w = 0 - m. Which is the biggest value? (a) 9 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 - -8 - 1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1391045194 minus -20?\nAnswer: 19.8608954806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/25, 0.1, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 - 2*n**2)*(-1 - n + 1) + 4*n**3 - 2*n**3 + 0*n**3 + (2*n - 2*n + 2*n**3)*(5 - 3 - 1).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42296 and 528.\nAnswer: 2791536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.09 (c) 1057945\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182 - -126) + 68 + (2 - (78 + -4 + 0))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497678, 497649, 497524, 497255, 496794?\nAnswer: 496093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t - 5*f = -1310, 3*t - f - 802 = 0. Let h = -177 + t. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 7. Let o(r) = r**2 + 7*r - 3. Let l be o(-8). Let c be q(l). Solve k = -2*k + 5*b + 35, 0 = -c*k - 2*b + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z - 16 = 0. Let x(t) = t**3 + 25*t**2 + 3*t + 77. Let m be x(-25). Solve -p = -m*p - z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (0 - ((-1 - 11) + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2258 and 9905?\nAnswer: 22365490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + o + 6*o)*(4 - 3 - 2)*(-535*o - 1005*o + 333*o)*(0 - 1 + 2) to r + g*o**2 + s*o and give g.\nAnswer: 4828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2765995 and 609250?\nAnswer: 138299750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v + 15. Solve -v*o = -o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71521611 a multiple of 2747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 - 6*f. Let b(j) = -j**3 - 6*j + j + 0*j**3 + 4*j. Suppose 13*u = -0*u + 13. What is u*v(g) - 4*b(g)?\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 3 - 3)*(3 + 0 - 6).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300)*3 - sqrt(126)\/sqrt(32)) + 3 + 5.\nAnswer: 8 + 357*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -13. Suppose v*c - 2 + 4 = 0, -3*c - 245 = -2*x. What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8970, -36080, -81270, -144546, -225914, -325380, -442950, -578630?\nAnswer: -732426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894752 divided by 206768?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.0641 meters in kilometers?\nAnswer: 0.0250641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*v + 3 = 0, -24 - 22 = -2*y + 4*v. Is y less than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11320*u - 11319*u - 317 = 4*l, 5*u - 1125 = -3*l. What is the least common multiple of 53\/3 - (-1)\/3 and u?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**4 - 136*o**3\/9 - 212*o**2\/9 - 40*o\/9 = 0.\nAnswer: -1, -2\/9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v + 2. Suppose -4*c + 14*c = 3*c. Let m(u) = 0*u + 2*u + 1716 + c*u - 1716. What is m(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -793939, -1587878, -2381817, -3175756, -3969695?\nAnswer: -4763634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19501 - 17690. Calculate the highest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120 or 606?\nAnswer: 606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 65. Suppose -4*w + 0*k + 10 = -2*k, -d = -4*w - 3*k. Suppose -2*u + r + 26 = 3*r, 1 = -r. What is the remainder when u is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 9 = -p. Let z(j) be the second derivative of -3*j**5\/20 - j**4\/3 - 2*j**3\/3 - 3*j**2\/2 - j. What is the remainder when z(p) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + -18. Let w = t - -25.6. Let d = 13.399999937 + w. Round d to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4400 is divided by 91.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*c - 4055 = 3303 + 29920. Calculate the highest common factor of 3 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91) + 6*(sqrt(91)*1 + sqrt(91)) - sqrt(91))\/(sqrt(7) + (sqrt(7) - (sqrt(175) - sqrt(175)*-2))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - 5*s**4 + 5*s**4 + (0*s**2 - 9*s**2 - 5*s**2)*(-s**3 + s**3 + s**3) + 4*s**5 + 9*s**5 + 319*s**2 - 316*s**2.\nAnswer: s**5 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 2. Let c = -217 + 221. Suppose 6 = -v + c. What is y(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 11*x**2 - 9*x + 16. Let d be y(8). Suppose -16*w + d = -8*w. What is the least common multiple of (-2)\/(-4)*14*1 and w?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 17539 (b) -0.0157 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-88))\/(((-1)\/(-10))\/((-184)\/(-1035)))?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54.1 - 65.1. What is the third biggest value in -2\/15, c, -0.3, -6\/35, 5?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 364.534 - 349.8. What is t rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 10. Suppose 3*t + 4 = -8. Let f be m(t). Suppose f*d - 3*d - 177 = 0. List the prime factors of d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 19 = 2*n - 5, 8 = -2*j. Let t(q) be the first derivative of -2*q**3\/3 - q**2\/2 - q - 1. Let y(a) = -a**2 + a + 1. Calculate n*t(r) + y(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -534217177*x**6 - 65839*x**2 + 1326 wrt x?\nAnswer: -64106061240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171118 is divided by 3888.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:55 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -9, -3, -1 in increasing order.\nAnswer: -9, -3, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + c - 3*m = -1, -10 = 3*m - 8*m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24\/(-10))\/((-15)\/400).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61741269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 7:56 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 20*k + 57. What is o(13)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 59. Let m = -28 - s. Which is the closest to m? (a) -0.1 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 76*h**2 - 1. Let r be k(-1). Suppose 0*b + b - r = -2*a, -2*a + 4*b + 60 = 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193 + -55. Let i = r - 106.5. Round i to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 28. Solve -k*s = 2*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/1)\/(2\/(-6)). Let s be ((-1)\/q)\/((-11)\/66). Which is the biggest value? (a) -4 (b) -1 (c) s (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/5 - (-4)\/10. Let j be -3 + u\/(10\/8). Let t = 10 + j. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 0.3, 0, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 17}. Give prob of picking 2 s.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41\/2 of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3)*l*l)\/l*((l**(-24\/5)*l*l)\/l)\/l)**20 assuming l is positive.\nAnswer: l**(-248\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38099 is divided by 12433.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -642*l - 735. Let m be z(-8). Suppose 0 = r + 2*u - 2011, -2*u = -6*r + 3*r + 6033. Let h = m - r. What is h rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 3*f - 6*f + (-4 - 1 + 3)*(0*f + 0*f - f) + 3*f - 2*f - 3*f + f - 4*f + 5*f - 100 + 44 - 39 - 2*f)*(-f - 5*f - 7*f).\nAnswer: -13*f**2 + 1235*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5368018*d**4 + 13*d**2 + 374239 wrt d?\nAnswer: -128832432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + f - 12 = 0, z + 2*f - 8 = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, i: 5}. What is prob of picking 1 i and 1 d?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/60 - 57\/(-180).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (-24 + (10 - (-28 - -32)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 42*w - 168. Let u be b(4). Solve 13*s - 11*s + 2 = u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -3*y**5\/20 + y**4\/2 + y**3\/2 - 3*y**2 - 6*y. Factor r(z).\nAnswer: -3*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-330)\/70 - 47\/((-9870)\/19680).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 459, 0.0113, 3\/2.\nAnswer: 0.0113, 3\/2, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11312, 11253, 11152, 11009, 10824, 10597, 10328?\n\"Answer: -21*d**2 + 4*d + 11329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4071\/2 - -2036. Let i = -481\/5 + 1117\/10. Let j = i - 15. Which is the closest to w? (a) 5 (b) 2\/19 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56 - (-7744)\/(-132) - (-13)\/(-3)) + (-214)\/(-30)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 + -80.84. Let u = r - 1.16043. What is u rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 98*w + 2292. Calculate the smallest common multiple of 696 and g(63).\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140184242?\nAnswer: 2, 11, 19, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(12\/11)*c*c))\/c*c)\/(c\/(c\/(c\/c**13))))\/(c*c**(-5))**(-5\/2) assuming c is positive.\nAnswer: c**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15165*u**3 + 44926?\nAnswer: -45495*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/(r**(-1\/4)\/r*r))**47\/((r\/(r**5\/r))\/r**7*(r**(-2\/7))**(-19)) assuming r is positive.\nAnswer: r**(10985\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10447 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: Divide 7 by 4243.\nAnswer: 7\/4243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -699*v**5\/5 - 12*v**2 + 8*v - 669. Find the second derivative of k(b) wrt b.\nAnswer: -8388*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 29\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 + -140. Let w be g\/(-114)*(-4)\/(-48)*-15. Is 1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -1, 4 in decreasing order.\nAnswer: 4, -1, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -9.707 (c) -4 (d) 0.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24770604 and 969.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 57347293 divided by -1\nAnswer: -57347293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 519*a**2 + 2 - 2 - 495*a**2. Let x(v) = -v**2. What is j(x(z))?\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 218*c**3 - 1356*c**2 + 2744*c - 1840.\nAnswer: 2*(c - 2)**3*(c + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -35. Let x(q) = 3 - 2*q**k + 2 - 6 + 3*q**2 - q. Let z be x(1). Which is the second biggest value? (a) z (b) -0.7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) 4 (c) 11\/3 (d) 358\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z**3 - 130*z**2 - 192*z + 184 = 0.\nAnswer: -2, 2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8481 is divided by 642.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4.6. Let f = d - 2. Let m = -151.7 + 146.7. Which is the closest to 2? (a) m (b) f (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 24 = 0. Suppose -5*r = 3*q + 4, 2*q = r - 2 + o. Solve q*s + 1 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 2, -475, 13755?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2 + 2*k + 1. Let p(b) = b**3 - 21*b**2 + 11*b + 5. Determine 11*d(w) - 2*p(w).\nAnswer: -2*w**3 - 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d. Let v(k) = 1885*k. What is 638*n(w) + 2*v(w)?\nAnswer: -1334*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/7 - 4*p**4 - 1198*p**3\/7 + 23904*p**2\/7 - 92664*p\/7 + 69984\/7 = 0.\nAnswer: -27, 1, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1386925267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q + 0*q + q)*(1 + 6 + 2) + (1 + 5 - 3)*(-q - 3 + 3) to n + l*q and give l.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -7 (c) 2\/13 (d) -36\/37 (e) 1 (f) 1\/4 (g) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/60 - t**4\/4 - 25*t**3\/6 + 14*t**2. What is the units digit of r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-15) - (-112)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((0 + 6*4*sqrt(882))*-6 + -2) + 1)**2.\nAnswer: 18144*sqrt(2) + 18289161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35261221451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 2, -4*q = -3*x - 30. Differentiate q*l**2 + 13*l**2 - 16*l**2 - 3 wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/4)\/((r**(-1\/4)\/r)\/r)*(((r\/(r**(-2\/7)*r))\/r)\/r)**27 assuming r is positive.\nAnswer: r**(-303\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1606*-5.\nAnswer: -8030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 176. What is the second derivative of -41*r**2 - 37*r**2 + u*r**2 - 27*r - 58*r**2 wrt r?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/15 - y**4\/12 + y**3\/2 - 30*y**2. Let o be v(2). Calculate the greatest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + h**3 + 37 + 7*h**2 - 8*h**2 in the form k*h + b*h**2 + o*h**3 + p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/2 - 23*s**4\/2 - 189*s**3\/2 - 637*s**2\/2 - 343*s.\nAnswer: -s*(s + 2)*(s + 7)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v - 10. Let x be 70\/4*(-2)\/(-5). Let t be h(x). What is the highest common divisor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 66204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 656 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4089, 16400, 36931, 65688, 102677, 147904?\nAnswer: 201375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60606 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251.476 + -0.476. Let r = f + -251.412. What is r rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1529548, -1529551, -1529554?\n\"Answer: -3*m - 1529545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 257921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13174.\nAnswer: 2, 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 6*h**2 - h - 5. Give s(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -41. Let z = -5 - b. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 2*l**4 - 2*l**4 - 3*l**4 + l**4 + 0*l**4 + (-2 + 6 - 1)*(-8*l**4 - 20*l + 20*l).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:13 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 46072.2 micrometers?\nAnswer: 46072200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-6)\/(-28))\/(68\/(-119))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*s + 10 + 14, s = 0. Let w(v) = 0*v**2 + h*v + v**3 - 2*v**2 - 4*v**2. Give w(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 - 2*j**3 + 1053 - 243 - 314 - 251.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 28, 1, 5 in increasing order.\nAnswer: -4, -2, 1, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -77, -121, -167, -215, -265, -317?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 + (-121)\/(-33). Suppose 0 = f*v - x - 206, 0*x + 5*x = 3*v - 146. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 24932 = -2*w, 0 = -w - w + 4*l + 24932. What are the prime factors of w?\nAnswer: 2, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -246 - -370. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = 0, -34 = -2*y - 3*h + 62. Calculate the remainder when y is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4253320 + -35?\nAnswer: 4253252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17731 * -5\nAnswer: -88655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202.292ms to microseconds.\nAnswer: 1202292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.95 + -4. Let d = -0.45 + v. Let m = -4.327 + 4.127. Which is the nearest to 4? (a) m (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 16*o**2. Suppose -8*w = -11*w + 3. What is the tens digit of q(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 + 15*a**2 - 11*a - 7. Let q be (-12)\/66 - (-172)\/(-22). Suppose -3*d + 30 + 117 = 0. What is the remainder when d is divided by b(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1 (b) -14 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-50)*15\/3. Suppose -8*c + 11*c - 2 = v, 13 = -n*v - 3*c. Let l(q) = q**2 + 5*q - 5. Give l(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3\/6 + 5210*b**2 - 62501*b\/6 - 78145 = 0. Calculate b.\nAnswer: -3, 5, 31258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3355764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88182.01045 rounded to the nearest 10?\nAnswer: 88180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1408 is divided by 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 681*r + 439*r + 497 + 2807*r - 92 wrt r?\nAnswer: 3927","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + 2*i**2 - i**2)*(2892 - 677 + 778) in the form d + b*i + k*i**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -0.3 (c) -1485709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-66)*(-252)\/(-315). Let o be 15\/(-2)*8\/(-12). Let c = o - 6. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -738 divided by 1?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29645309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53225007 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 9:28 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*z + 16 = 0, -4*f = -7*f - 2*z + 14. Suppose -y + 130 = -3*l, f*l + 72 = -5*y - 133. Let o = l - -75. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**3 + 5*j**2 - 5*j - 2. Let c(x) = x**3 - x. Let o(h) = -a(h) - 3*c(h). List the prime factors of o(5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3302211 (base 6) to base 15.\nAnswer: -33807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -860*p**2 - 7*p + 7. Let z be t(7). Let j = z + 8816098\/209. Let w = 12691\/1254 - j. What is the common denominator of 41\/18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10023 + 551282\/55. Calculate the common denominator of -87\/10 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 at most 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 678.\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1926)\/(-428)*(-2)\/3*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = 26*o - 30. Suppose 2*n + 2 + o = 0. Let s(t) be the second derivative of t**3\/3 + 7*t**2\/2 - 6*t. What is s(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 18. Let l be m(10). Let o be 27\/36 + 117\/(-12). Let h be 0\/(-4 - (o + 2)). Solve 4*v - l*d + 0*d + 2 = h, 4*v = -4*d + 28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58.5 - 58.43. Sort 16, 4, -1\/9, j in ascending order.\nAnswer: -1\/9, j, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -3. Let j = 5 + 5. Suppose 0 = -4*h + 6 + j. Solve -h*v + 5*p - 18 - 9 = 0, 4*p - o = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 1189402?\nAnswer: 11893a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40605568 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 - 2*y + 1. Let k(r) = 3*r**4 + 33*r**3 + 63*r**2 + 6*r - 3. Let c(a) = 3*d(a) + k(a). Factor c(b).\nAnswer: 3*b**2*(b + 2)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24566 - 24570. Let p be 2\/4*(-76)\/(-6). What is the third biggest value in f, p, -0.5, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28*35)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 9) + (-1 + -7 - (-18 + 6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 14*s + 16. Determine p(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/720*6\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7672*s**4 - 956*s**3 - s**2 + 6*s - 1061458?\nAnswer: 92064*s**2 - 5736*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/12 + 345*j. Let v(i) = 84*i**2. Give g(v(p)).\nAnswer: -7056*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*c + 6*c + 14*c)*(-c**4 - c**4 + 3*c**4).\nAnswer: 36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 5:47 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)*l*l*l)**(-18\/7)\/(l**(2\/45)\/(l*l**(-2\/13))) assuming l is positive.\nAnswer: l**(-30647\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5.848 (b) -3 (c) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051717939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -4, -2, -2\/11, -1.868.\nAnswer: -155, -4, -2, -1.868, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 6289.\nAnswer: -2\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4519.\nAnswer: 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*d = 854*d - 50 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 26 + 22 - 24 - 6*l - 6*l.\nAnswer: -7*l - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 - 17 = -5*a, -40 = -5*a + 5*q. Solve 7*u + 2*w + 6 = a*u, -u + 4*w = 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 874842?\nAnswer: 4374210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156*((-4617)\/(-18))\/171)\/(6\/(-4)).\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Suppose 0*d = d - 1. Suppose 3 = -2*c + d, p = -4*c - b. Solve -12 = -5*w + p*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -102649?\nAnswer: -102649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + sqrt(891)*2 + sqrt(891))**2*-2 - (3 + (-3 + sqrt(22)\/sqrt(32))*-4)**2.\nAnswer: -16294 - 294*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 2*s**2 + 10. Give t(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 = 7*u. Suppose -u*f - 7 + 69 = 0. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520*v - 272 = -512*v. Suppose 5*i + 48 = -127. Is v at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 6*d + 8. Let w be 5\/d*2*856\/10. What is the tens digit of w\/(-2 - -1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22154?\nAnswer: 2, 11, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1786 - 1786 + s - 7*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -7. What is the nearest to -3 in 5, 1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1584) - -2*sqrt(1584)*5) + 2*(sqrt(1584) + 0))**2 + (sqrt(1584) - (sqrt(1584) - ((1 + sqrt(1584) - sqrt(1584))*6 + sqrt(1584))))**2 + -2.\nAnswer: 144*sqrt(11) + 269315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6439.1166 nanoseconds in weeks?\nAnswer: 0.0000000000106466875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Let w be (-13)\/(-143)*0*(-1)\/(-2). Let j = w - g. Solve u = -4*t + j, 4*u - 2*t = -9 - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16188 and 456.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2106 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.57486 - -59?\nAnswer: -80.57486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97605 = -43*i + 20086. Let z = i - 1074. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377660 and 26220?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 + 0)*(-2*r + 2*r - 2*r) - r + 5*r - 2*r)*(r + 2*r - 6*r) in the form n + b*r + f*r**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 107938467.4 rounded to the nearest one million?\nAnswer: 108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -232, -383, -640, -1009, -1496?\n\"Answer: -i**3 - 47*i**2 - 3*i - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1837? (a) 2\/3 (b) -2\/11 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 8. Suppose 3*j - 11 = -4*i, -5*j = n*i - i - 22. Suppose -j*h = -10, -3*h = 3*t + 2*h + 113990. Round t to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -13. Let d = 27 + s. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.17 + -138573.78.\nAnswer: -138495.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. What is the tens digit of 71\/4 - v\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yssyssysssyyyyss. Give prob of picking 2 y and 2 s.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50673889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((-2)\/(-3) - 0). Find the third derivative of 5*m**i - m**6 - m**6 + 6*m**6 + m**6 wrt m.\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*t + 0*t - 24*t**2 - t + 6*t - 5*t.\nAnswer: -24*t**2 + 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1228 and 2622701.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3\/3 + 4. Let t(g) = 2*g**2 + 3*g - 9. Let a(y) = -6*y**2 - 8*y + 33. Let u(h) = -3*a(h) - 8*t(h). Calculate u(s(i)).\nAnswer: 2*i**4 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -29*c - 26. Let t(f) = -6*f - 5. Let m be (-1)\/(-2)*(-19 + -3). Let w(u) = m*t(u) + 2*k(u). Is 4 a factor of w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -3. Let p = h - -6.3. What is the second smallest value in 4\/5, p, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(10\/12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244684707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 4. Let h = -30 - -26. Which is smaller: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 5, -3*r = -b + r - 3*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 502, 734, 944, 1126, 1274, 1382, 1444?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -31 - 2 - 12513\/(-291)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2082*b = -4522*b + 2179*b + 16704 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 5*a - 1. Let l(d) = -d + 2. Let m be l(5). Let o = m - 1. Let x be t(o). Solve 2*k = x*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14544140 rounded to the nearest one hundred thousand?\nAnswer: -14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-10) - (-12)\/(-20). Let a(v) = 3*v + 1. Let p be a(h). Is p < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*4*((sqrt(425) + (sqrt(425)*2 - sqrt(425)) + 4)*2 + ((0 + sqrt(425))*4 - (3 + sqrt(425) + -1 + sqrt(425))))**2.\nAnswer: -1472256 - 34560*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*j - 8, j + 28 = 414*p - 419*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -7.8. Let m = z - 7.0009. What is m rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736473184 to the power of 1\/2, to the nearest integer?\nAnswer: 41671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -61\/2. Let i(o) = -o - 10. Let p be i(-6). What is the closest to 1 in p, -1\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-90))\/(8*(-2)\/(-20)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56893 and 4127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = i + x, 76*x = 5*i + 79*x - 136. Calculate the remainder when 93 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4150 - -4153. Calculate the smallest common multiple of 1 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/767231 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(2112)*1 + sqrt(2112) - sqrt(2112)) + sqrt(2112))\/(sqrt(432)*1) + (sqrt(11) + sqrt(11) + 1)*4*-1 + 1)**2.\nAnswer: 80*sqrt(11)\/3 + 4436\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 8*u**3 + 54*u**2 - 76*u + 32.\nAnswer: -2*(u - 2)*(u - 1)**2*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 954 and 2049669.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/620)\/(378\/(-1302)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -20 - (-161 - -86)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -19, 13 in descending order.\nAnswer: 13, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/((-3080)\/16)*((-75)\/12)\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15 - -1.35. Let o = a + -1.6. Let u = -237.5 + 233.5. Put 2\/3, u, o, -5 in descending order.\nAnswer: 2\/3, o, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 851386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b - 2 = 0. Let w(c) = 0*c**2 + 0*c**b + 3*c - 3 + c**2. Is w(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**3 + 2*x - 1. Calculate c(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + 2*sqrt(132)*4 + (sqrt(132) - -6*(sqrt(132) - ((sqrt(132)*2 - sqrt(132)) + sqrt(132)))))\/(5*(sqrt(588) + (-1*sqrt(588)*-2 - sqrt(588)))).\nAnswer: 2*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 177 = -185. Solve -o + b = -3*j, j = 5*j + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + 2365\/22. Let d be u - (-6)\/(-4)*-2. Let v = 170 - d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -1.198.\nAnswer: -6.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 5*z**2 - 5*z - 7. Let d(y) = 2*y**3 + 15*y**2 + 15*y + 19. Let n(k) = -6*d(k) - 17*p(k). Factor n(c).\nAnswer: 5*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*y - 98*y = 40. Suppose s + 5*a - 16 = y, 4*a = -5*s + 36. Let b(h) = h**2 - 4*h + 5. List the prime factors of b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8616892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 2*l - 6)*(0*l**3 + 2*l**3 + l**3) as s*l**4 + x*l**2 + v + f*l**3 + g*l and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/(-84)*23\/((-32085)\/10)?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.093\nAnswer: -0.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n**2*w - 2*n*w**2 + 984*n - 14*w**2 - 2443*w wrt n?\nAnswer: -10*n*w - 2*w**2 + 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/126 + (-10)\/(-35)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7980389293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -3\/52 (c) 0.044\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -25455 at most as big as -945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1298 and 261679?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1663375163.072.\nAnswer: -1663375163.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c + 5. Let u = 14 + -20. Let q(r) = 7*r + 4. Determine u*q(k) + 5*w(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -3)\/(-1)*-3. Suppose 0 = -j*z - 2*b + 21, -z + 3*b = -0*z + 4. Let o = 7 - z. Calculate the greatest common divisor of o and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68413629?\nAnswer: 3, 37, 73, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(84)*-4 - sqrt(84))\/sqrt(4))\/sqrt(3) + 4.\nAnswer: -5*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*n + 268*n - 26460 = 220*n - 300*n for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*h + 9*x - 24 = -165*h, -3*h - 3*x - 6 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 14, -1\/2566 in ascending order.\nAnswer: -1\/2566, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*o*v*x**2 + 2*o*v + 82576*o*x**2 - 7458*o*x + o - 26*v*x**2 + 2*v*x - 28*x - 2 wrt x.\nAnswer: 60*o*v + 165152*o - 52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 18601710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 12*a - 52 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14581820 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 7*f + 3. Let n(r) = r**3 - 6*r**2 + r. Let t be n(6). Suppose 0 = 10*w - t*w + 28. Give u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0835 - 0.7015. Let z = v + 0.918. Let n be (-13)\/24 - (-4)\/6. Which is the third smallest value? (a) 1 (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2552 and 7723976.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from jbeceb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -571*x**3 + 2800*x**3 + 927*x**3 + (-3*x**2 + 5*x**2 + 0*x**2)*(4*x - 6*x + 5*x).\nAnswer: 3162*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 298362673 at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9022569, -18045141, -27067713, -36090285, -45112857, -54135429?\nAnswer: -63158001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 276.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6))\/((-3)\/30). Let x be o\/(-3) + (-5)\/15. Calculate the least common multiple of (1 - (-9)\/3) + x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h - 11. Let r = h + -6. Let x be 3\/(5\/2 - 1). Put x, 0, r in increasing order.\nAnswer: r, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {j: 6, o: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 - 148. Let m be (-1 + 4)*(-1)\/(-3). Sort t, -22, -3, m.\nAnswer: -22, -3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-69794)\/(-4))\/((-107)\/642). What is h rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-22)*y)\/(y*y**(-3)))**(-8))**21 assuming y is positive.\nAnswer: y**3024","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 17. Let f = 0.1 - 17.1. Let u = 16.68 + f. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itoocceze. What is prob of picking 1 e, 1 o, 1 t, and 1 i?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2098 and -53\/642.\nAnswer: 673458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 4:42 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**2 + 0 + 1\/30*g**5 - 1\/360*g**6 + 1\/2*g**3 - 1\/8*g**4 - g. Let k(i) be the second derivative of m(i). Give k(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/28 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 4125, -1, 3 in decreasing order.\nAnswer: 4125, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 53 - 267. Let j be -2 + (-4 - x\/12). Which is the closest to j? (a) -2 (b) 5 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**7\/30 + 7*s**3\/6 - 10*s**2. Differentiate l(k) wrt k.\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-12) - (-7)\/4. Is 127*(4 + (-6)\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 - 2057893*r**2\/2 + 4115792*r - 4115794.\nAnswer: -(r - 2)**2*(r + 2057897)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 3. Let w be k(-5). Let z be (24\/(-15))\/((-2)\/(-10)). Let o = z + 13. Solve 5*f + 8 = -3*q, 5*f + o = w*q + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -3. Let z = g - -8. Solve 8 = z*x, -4*h + h - 3 = 3*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -214825, -214829, -214833, -214837, -214841, -214845?\n\"Answer: -4*h - 214821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292 + 524. Suppose -r + n = r. Suppose -2*w + 2*q = -3*q - r, 0 = 5*q. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30662.\nAnswer: 2, 15331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 + 424. Let z be (28\/f)\/((-2)\/5). Suppose -7 = t - 4*b, 2*t = -2*b - 1 + 7. What is the nearest to 0.2 in t, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96759b (base 12) in base 13?\nAnswer: -652b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**3 + 2*r**3 - r**3)*(6*r + 0*r - 4*r)*(-9 + 16 - 5) in the form i*r**2 + y*r + h*r**3 + l + m*r**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/5 - 16*r**2\/5 + 8*r = 0. What is r?\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*m**3 - 25584*m**2 + 12*m + 626321254 wrt m.\nAnswer: 561*m**2 - 51168*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153083 + 153085. Let j be ((-1)\/(-3) + -1)*-9. Solve -j*z + d = -28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8252 and 3044550644.\nAnswer: 8252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 610124227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -782 = 2*w - 1982. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-15)*(9 - 4))\/(4\/(-55974)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/8960 and 1\/5376?\nAnswer: 26880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 2, 70 in decreasing order.\nAnswer: 70, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p. Let b(w) = -67*w + 2. Calculate b(f(c)).\nAnswer: 335*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*d + 326*d + 3*f = -41, -96*f + 47*f + 15 = -3*d - 46*f for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 34144, 4 in decreasing order.\nAnswer: 34144, 4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -11\/5, -4, -0.1 in increasing order.\nAnswer: -8, -4, -11\/5, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (141 - ((1 - 5) + 7)) + (27 - 22 - -1)\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000110110000 (base 2) to base 7.\nAnswer: -165536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*k + 20660 = 0, -6*n + n + 25825 = -4*k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 y when three letters picked without replacement from wwfwwwwpewwwwwywfwew?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -30525434 (base 6) in base 13?\nAnswer: -24b908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 17 - 2 = 0. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 10 + 34. Solve i**4 + w*i**3 + 0*i**4 - 3*i**3 - i**3 = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 c, and 1 h when three letters picked without replacement from tatntncahddn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c = 4*c + 205. Solve -5*r + 207*q - c*q = -27, 0 = r + 3*q - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 2 - 21*z**2 + 12*z**2 + 11*z**2)*(-z**2 + 6*z**2 - 4*z**2) to the form x*z**2 + a*z + i + w*z**3 + u*z**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -166279483.1 rounded to the nearest ten thousand?\nAnswer: -166280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61853093 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cc - -20?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1018)\/(-15) - 48\/(-360). What is the greatest common divisor of 8 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -1821 (c) 11899 (d) 5 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 19, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*b = -297, 0 = 27*c - 23*c + 3*b + 396. Let g(p) = -8 + 7 + 0 + 13*p + 3. Let j(i) = -638*i - 99. Calculate c*g(r) - 2*j(r).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 + 9*t**3\/2 - 21*t**2\/2 + 11*t\/2.\nAnswer: t*(t - 1)**2*(t + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/66)\/((-74520)\/(-5940))?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1286320 times 63\nAnswer: 81038160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91, -113, -147, -199, -275, -381, -523, -707?\n\"Answer: -w**3 - 15*w - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 608 and 380.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 583 and 506.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2887111 is divided by 2504?\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080163223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91152 and 6352.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(500) + sqrt(500)*2 + sqrt(500) - (sqrt(500) + -3*(sqrt(500) - (-3*sqrt(500) - sqrt(500)))))**2.\nAnswer: -6480*sqrt(5) + 972054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26148627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2 - 39*b + 63.\nAnswer: 3*(b - 3)*(2*b - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/2 + 8*g**3\/3 + 3*g**2 + g. Let k(m) = -m**2 + 3*m + 1. Let t = 18 + -29. Give t*k(n) + 2*z(n).\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Suppose -3*z + 4*t - 8 = 0, -4*z + t + l = 4. Suppose y - 14 - 177 = z. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {a: 1, w: 8, l: 4, d: 1, b: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2619*t + 42449. Determine f(16).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -23*n - 75. Let r(z) = -11*z - 1. Determine r(n).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/3*97*1584\/(-17072)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604761909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81560.\nAnswer: 2, 5, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4090417685 a multiple of 11621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 12698?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2743 + 2.1743. Let g be -5 + 2 - 2\/(-2). Which is the nearest to g? (a) -2 (b) 2\/9 (c) z (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*h = -5440, -108*a + 4*h - 5444 = -111*a. List the prime factors of a.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**2 - 3*u. Let n(j) = -9*j**2. Determine w(n(f)).\nAnswer: 891*f**4 + 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c, 0 = 4*g - 5*c - 20. Let w be (2 - -3*(-1)\/3)*10. Solve 0*m + 2*m = 3*l + 4, -g*m + w = l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221033*c**2 + 221033*c**2 + 876*c**3 + 3*c**3 - 49*c**3.\nAnswer: 830*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(180)*-1 + -1 + sqrt(180) + 5)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -516037.\nAnswer: -2580185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*i**3 - 34*i**3 - 57 - 36*i**3 + 153*i**3 + i**2 - 33*i**3 in the form x*i + c + f*i**2 + h*i**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 113 - 107. Let c(u) be the third derivative of -1\/60*u**5 + 0*u + 5*u**2 + 0*u**4 + 0*u**a + 0. Let g(z) = -7*z. Determine g(c(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -899 + 905. Let i(j) be the first derivative of -3*j**2\/2 + 6*j - 2. Calculate i(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 681563568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 5, n: 9}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**4 + 4573468*i**3 - 132633156*i**2 + 891849780*i + 1029056400 = 0. Calculate i.\nAnswer: -1143396, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 + -1. Let y = 208 + -148. Let f = y + -63. Put f, -0.3, o in decreasing order.\nAnswer: o, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -34*b + 1. What is z(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(6\/(-14)) + 2. Let i = 41.6 - 40. Let g = -2.1 + i. Which is the closest to -0.1? (a) g (b) j (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 + 9\/18. Let w = u + 1. What are the prime factors of (-64)\/40*(-15)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.06 (c) 4 (d) 8082\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*p**2 + 22*p**2 + 21*p**2 + 15*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 10*w**2 + 8*w + 12. Is 73 a factor of k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - (-7*(-11)\/((-77)\/(-6)) + -111). What is the highest common divisor of n and 5291?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = l + 7*r - 37, 5*r = 5*l - 125. Suppose -3*c + 3*n + l = c, -5*c + 10 = n. Solve -c*k = -0 - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t + 1. Let v(x) = -6*x - 1. Let c(s) = -6*i(s) - 5*v(s). Let h(u) = -u + 12. What is the remainder when c(-6) is divided by h(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 9*o**2 - 10*o + 8. Let z be u(10). Suppose z = -f + 3*f. Solve 2*l + f + 0 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 8. Suppose 8*r + 3*t - 24 = 4*r, g*r - 14 = -2*t. What is the second derivative of -m + 4*m + 6*m**r + 0*m wrt m?\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 1. Let g be (4\/8)\/((-2)\/(-8)). Suppose -3*o + 3 = -g*o. Let z be s(o). Calculate the greatest common divisor of 20 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*f - 3*f = 39, -p = -f - 11. Let c be 6\/p + 1\/4. Is -1*(-41 + (-1 - c)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21568 != -21568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 + 306a7?\nAnswer: 30752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**5\/5 + 504*i**4 + 460401*i**3\/5 + 2259018*i**2\/5 + 718428*i + 358200 = 0.\nAnswer: -150, -2, -1, 995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 71086?\nAnswer: 71089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11653, -23302, -34951?\nAnswer: -46600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -137\/3. Let s = -0.8 + 0.5. What is the closest to r in s, 5, -4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -0.5, 3, -1.044?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*x = 0, o + 7*x - 5*x = -12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 9:27 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2498253 and 15.\nAnswer: 12491265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 584, 1025, 1464, 1901, 2336, 2769?\n\"Answer: -a**2 + 444*a + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -64.3958.\nAnswer: -64.3958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*g - 4. Find the second derivative of -b**3 + 3*b - g*b**3 + 2*b**3 + 0*b**3 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:05 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3 + 26681*j**2 + 19*j**3 - 26676*j**2 - 6*j - 1. Calculate the lowest common multiple of 24 and t(1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/20 + 5*i**4\/12 - i**3\/3 - i**2\/2 + i + 492. What is w(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5)*1\/(-9)*15. What is the closest to 0.1 in -12, b, -1, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*x + 66 = -22*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133942, 267893, 401844, 535795, 669746?\nAnswer: 803697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*i + 10, 5 = -4*n + 2*i - 5. Let d be -8 + 3 - (-6 + -3 + 7). Put 13, n, d in increasing order.\nAnswer: d, n, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14948 and 18180?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.64046959 rounded to four dps?\nAnswer: -2.6405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4184000 rounded to the nearest 100000?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000132772 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 1. Let s be a(1). Let k = 1.4 - 3.2. Let i = -2.2 + k. What is the biggest value in -0.2, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000000 (base 2) in base 9?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*v + 2*v**3 + 8*v - v**2 + 8*v**3 + 24*v as k*v**2 + g + z*v + p*v**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, m: 4, x: 3, o: 2, c: 3, h: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3889, 15718, 35433, 63034, 98521?\nAnswer: 141894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -2*a**3\/3 + 2*a**2 + 2*a + 10. Calculate the lowest common multiple of l(-24) and 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 5*l + 2. Let x be o(-7). Let m = -9 + x. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*d + 10*h - 70, -h + 62 = 4*d. Let q(w) = 12*w. Let v be q(-2). Let y = d - v. Solve 4*c + 4*u + 36 = -0*u, 0 = -5*c - 4*u - y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16801 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8336, -5, 7, 251 in ascending order.\nAnswer: -5, -3, 7, 251, 8336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - m + m + (0 - 2 + 0)*(-1 + 4 - 4)*(5*m - 3*m + 3*m).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(3*sqrt(15)\/sqrt(5)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19200121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 643820 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Suppose 2*r - 16 = -n. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58.88335 times 8\nAnswer: 471.0668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 8\/16*90. Let u be (-3 - 0)*(p + 40). Solve 20 = -u*l + 19*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 96. Suppose j = -2*x + 148. Suppose -3*l - 73 = -4*c, -c + 3*l - 6*l + x = 0. Calculate the greatest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + i + 32 = 4*g, 0 = -3*i - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*x*y + j*x - j*y**4 - j + 3*x*y**4 - x*y**3 + y**3 + 6*y**2 wrt y?\nAnswer: -24*j*y + 72*x*y - 6*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s - 15 = 0. Let y = -29 - -18. Let g be y*1*(s - -2). Solve -2 = v, g = 7*j - 2*j - 3*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39\/(7\/((-1050)\/(-18)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 20. What is the greatest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -41. Let q be m\/(-6) + -2*6\/(-72). Solve g - 10 = -4*v, 0 = -v - 0*v - g + q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 2*x - 3*x + (0*x + x - 3*x)*(-2 + 2 + 2))*(-23 + 23 + 27*x - x - x + x + (2 + 2*x - 2)*(2 + 2 - 2)).\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/3 - 12*o = 0. What is o?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h - 3*h)*(3 + 1 - 2)*(1 + 3 - 2)*(h**3 - 3*h**3 + 3*h**3).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**2)\/(((z*z**(-1\/3)*z)\/z)\/z))**41*z**6\/z**(-2\/7)*(z\/(z*z**(1\/4)))**26 assuming z is positive.\nAnswer: z**(9175\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 17 + 4 - (-2 + -5 + 1) - -51\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140553.\nAnswer: 3, 7, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1228*z**3 + 276*z**2 - 2*z**4 + 284*z**2 - 833*z**2 + 275*z**2 - 2*z as v*z + f*z**4 + r + p*z**3 + j*z**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*w = -160, 0 = -5*p - 7*w - 0*w + 263. Calculate the remainder when 969 is divided by p.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.03575?\nAnswer: 0.03575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (63\/14 - 5)*0\/1. Suppose 3*w - 70 - 59 = d. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 6*r - 3. Let p be x(-5). Let z(k) = -5 + 2 + 2*k + 0*k**p - k**2. Give z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*14\/(-12))\/(25\/(-50))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:47 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387274 divided by -2.\nAnswer: -193637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -338, -672, -1006?\n\"Answer: -334*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + -0.8. Let k = 0.1 + y. Let t = -18.3 - -18. Which is the smallest value? (a) t (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(104)*-2)\/(sqrt(8) - -1*sqrt(8)*3) + (-2*sqrt(468) + sqrt(468) - -2*sqrt(1573))*-4)**2.\nAnswer: 223093\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 0.4 (b) -34.41 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2624*y**2 - 5 + 16563*y**2.\nAnswer: 19187*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 n when three letters picked without replacement from {m: 7, c: 1, n: 4, q: 2, y: 3}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1392235 rounded to 4 decimal places?\nAnswer: -0.1392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9039.439 centimeters to kilometers.\nAnswer: 0.09039439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29424.8025 take away 131.1?\nAnswer: 29293.7025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 56093202 divided by -283299\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5496 and 21984.\nAnswer: 21984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/5740888 and -37\/15192.\nAnswer: 51667992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3120 (base 7) to base 3\nAnswer: -1111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 3:39 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 80.06354 millennia?\nAnswer: 80063.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5199 - 5199.5. Let i = -2 - -8. Let o = 2.7 + 2.3. Which is the second biggest value? (a) g (b) o (c) i (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q. Let n(k) = 66*k - 56. Determine -n(m) - 8*r(m).\nAnswer: -10*m + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/966)\/(2\/(-12))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 228\/87211?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 247*b**4*i**2 - 5887*b**4*i + b**2*i - b*i**2 - 168804*b*i wrt b.\nAnswer: 5928*b*i**2 - 141288*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*o - 1140 = -29*o - 11*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24767, -24764, -24761, -24758?\n\"Answer: 3*q - 24770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019417 a multiple of 1063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6 - 3352*m + 3352*m + m**3 + 6*m**2. Suppose 0 = -o - b + 13, -b + 4*b = 4*o - 52. Let l = o + -19. What is y(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Let g be (2 - b) + 0 + 2. Solve g = -4*c + 1 - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 - 3*f - 22\/3.\nAnswer: (f - 11)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 176 = -14*m. Suppose -2*v = -2*j - 12, 3*v + m = 5*v - j. Solve -4\/7*h**3 + 0*h + 8\/7*h**v - 92\/7*h**4 + 0 - 80\/7*h**5 = 0 for h.\nAnswer: -1, -2\/5, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*v**6 + 2*v**3 - 25*v**2 - 10.\nAnswer: -8160*v**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 5. Let q be u(-4). List the prime factors of ((-2)\/(-3))\/((q\/612)\/7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 + 5*q**2 - 5*q + 5. Suppose 52 - 147 = 19*j. Let d be (16\/5)\/(11\/(-55)). Let p(w) = 10*w**3 - 16*w**2 + 16*w - 16. What is d*v(r) + j*p(r)?\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15*m**2. Let c(z) = 2*z**2 + 3*z**2 - 3*z**2. Determine b(c(i)).\nAnswer: 60*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*c = v - 70, 3*v + 4*c - 60 = 0. Find the second derivative of f**4 + 78*f - 3*f**4 - v*f - 16*f**2 - 20*f wrt f.\nAnswer: -24*f**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/7 - 396*d**2\/7 - 17424*d\/7 - 255552\/7.\nAnswer: -3*(d + 44)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -864 - -2cc7?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**3 - 5*i. Let w(b) = -3*b - 32. Let f be w(-10). Let c be 0 - (-9)\/f - (-13)\/26. Let a(s) = 6*s**3 + 4*s. Calculate c*z(u) - 5*a(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 4*k**3 - k**3)*(2 - 8*k + 0*k + 9*k)*(-2 + 2 - 2).\nAnswer: 8*k**4 + 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 + 93*u - 255. Let p be t(3). Solve -137 = p*j + 67 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 (base 15) in base 9?\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -103, -189, -309, -463?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-5)*v*v*v*v\/((v\/v**5)\/v))\/((v**(-5\/4)*v)\/v**(-3\/5)))**(-13))**28 assuming v is positive.\nAnswer: v**(-8463\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -383793202*f**3 + 101797453*f.\nAnswer: -2302759212*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2412)\/46431*5*(-42)\/(-60).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19*-0.04\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = l - 13 + 2, -l - 13 = -3*x. What is the units digit of ((-12)\/10 + -2)\/(l\/60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + -1 + sqrt(1872)) - (2*sqrt(1872)*2 + 0))**2.\nAnswer: -768*sqrt(13) + 119824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9008 and 944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*y - 774 + 1902 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 1\/3 (c) -4 (d) 99 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**5 + 20456*o**4 - 225420*o**3 + 410176*o**2 + 901616*o - 1968000 = 0.\nAnswer: -5125, -2, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 9:30 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*m - 240, -26 = x + 2*m - 146. Solve x = 7*l + 23*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10)*3\/(-9). Let w = -0.6 + 4.6. Let j = -3.9 + w. Which is the smallest value? (a) j (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 + 11940*r**2 + 11833*r**2 - 24082*r**2 + (1 + 0 - 3)*(0*r**4 + r**4 + r**4) + 4*r**4 - 4*r**4 + r**4.\nAnswer: -7*r**4 - 309*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 85*g - 23. Let z be o(50). What is the greatest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -62.04?\nAnswer: -61.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 4*k - 1. Let p be f(3). Suppose -62*q = -64*q - p. Let r be (q - (-10 - -4)) + (7 - -1). Solve 0*l = l + r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*m + 13*m + 345 = -27 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r*r**35*r*r*r*r*r)\/r))**(20\/7)*((r\/(r\/(r**29\/r))*r)\/r)**(12\/13) assuming r is positive.\nAnswer: r**(-8048\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/5 - (18 - 127). What is the greatest common divisor of 351 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaooaoa. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2509030 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 327 + -311. Let j be 7*-7*1 - -3. What is the remainder when (-1 + j)\/(6\/(-6)) is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 4 + 14 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -521606 and 0.2.\nAnswer: -104321.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 17 (c) 2.33 (d) -7 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -70 (b) -5 (c) 5 (d) 1\/5 (e) -1 (f) 2\/11 (g) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6460189627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/12)\/(-5 - 33\/(-6)) - 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23062, 45985, 68908, 91831, 114754?\nAnswer: 137677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 - 821760091.37?\nAnswer: -821760091.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13097616 and 64204.\nAnswer: 13097616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(40\/12))\/((-4)\/88*-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k - 59*k + 325625 = -7502*k - 190219 for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 137, 154, 219, 356, 589, 942, 1439, 2104?\n\"Answer: 4*h**3 - 11*h + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443*h**2*p**3 - 6*h**2*p - 2*h**2 - 3*h*p + 816929*h + 1559*p**5 wrt p?\nAnswer: 2658*h**2*p + 31180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 557632177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - i**3 - 517 + 6*i**2 - 4*i**2 - 8*i**2 + 5*i**2 to b*i + x + v*i**2 + f*i**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0094 - -0.0094. What is the second biggest value in -2\/3, o, 4\/3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - m + 136 = -34, 178 = 2*z - m. Let r = 2 + 6. What is the remainder when z is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = -4*r - 24 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 200 + 607. Suppose -2*v - 98 = -2*b, 2*v = 5*b + 3*v - l. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 4*o - 5*o + 3, 0 = 2*r + o + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 5*n**2\/2 - 16*n + 18.\nAnswer: (n - 2)**2*(n + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2111*r + 388. Does 119 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 25\/15 - (-34)\/6. Let j(h) = -3*h**2 + 15*h**2 - 3*h**2 + n*h - 4*h**2 - 3. Let l be j(1). Solve 13 + l = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 117 = -279. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 u, and 1 n when four letters picked without replacement from {n: 2, j: 5, u: 5}?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 74*y - 75*y + 223*y - 74*y. Let d(w) = 3*w**2 - 4*w**2 - 3*w**2. Determine d(i(c)).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -5. Let q = 401\/2 + -201. Which is the nearest to q? (a) -1\/2 (b) -4\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3\/4 (b) -3 (c) 10 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7485 is divided by 832?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9038*q - 5365 wrt q?\nAnswer: 9038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4630 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -18. Let o be 40\/m + 24\/2. Solve -2*p - 2*p = o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 118 = -2*r, -294 = -5*r - 7*t + 4*t. Calculate the greatest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7\/(b**(-8)*b) assuming b is positive.\nAnswer: b**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(50\/(-4)))\/(((-72)\/9)\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91798, 367224, 826282, 1468972, 2295294?\nAnswer: 3305248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 46?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -594907, -1189824, -1784741?\n\"Answer: -594917*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 993212181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(2\/5)*z))\/z)\/(z*z*z**6*z*z))\/(z**(-1\/2))**(-15\/2) assuming z is positive.\nAnswer: z**(-303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k + 11. What are the prime factors of s(6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433 is divided by 294.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9\/(-8)*(-12846)\/9)\/(3\/20)?\nAnswer: 5, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, g: 3, l: 1}. What is prob of sequence gggy?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/41 + 186\/533. Put g, 0.1, -9 in descending order.\nAnswer: g, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*b**2*i*x + 10*b**2*x - 6*b - 2*i*x wrt i.\nAnswer: -82*b**2*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u - 1908*u**2 + 16130*u**2 - 8*u + 31*u.\nAnswer: 14222*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 84*v**3\/13 + 26378*v**2\/13 - 472040*v\/13 - 11254\/13 = 0. Calculate v.\nAnswer: -331, -1\/42, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooojooooooooooooooo. What is prob of picking 1 o and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2107336 = -107*a + 2107550. Suppose -5\/2 + 1\/2*s**2 - a*s = 0. Calculate s.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 4*d**2 + 3*d - 2. Let v be a(2). Suppose 0*h + v*h - 48 = 0. What is the remainder when 59 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/7 (c) 1\/5 (d) -3\/2 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/11 + (1 - -1). Let f be -17*2*r\/(-6). Suppose 4*v = -b + f, v + 0*b = -5*b + 9. Solve -o = v*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 2*k - 14. Let m be u(15). Suppose j - m = -5*r, -2*j - 218 = -3*r + 158. Is r a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 469196 or 469212?\nAnswer: 469196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 82657\nAnswer: -247971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 + 1)*(y + 4*y - 6*y) - 11*y + 0 + 0)*(-y**2 - y**2 - y**2) to d + t*y + c*y**3 + l*y**2 and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 52*f - 259 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/16 and 21\/544.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10656265 (base 8) to base 5\nAnswer: -1043124433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 705 + 1366*h - 705 - 1365*h. Let a(o) = -2*o + 2967. Calculate m(a(b)).\nAnswer: -2*b + 2967","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**3 - 15 + a + 27 - 12.\nAnswer: -7*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**3 - 87*k**2 + 89*k - 38. Let q(x) = 19*x**3 - 435*x**2 + 416*x - 189. What is -14*g(i) + 3*q(i)?\nAnswer: i**3 - 87*i**2 + 2*i - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80 * 20824.\nAnswer: 1665920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 161\/2, 2\/9, 92, 0.7, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2208.382 weeks to milliseconds.\nAnswer: 1335629433600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/18 + 6\/(-27). Suppose -5*o + 0*o - 60 = q. What is the smallest common multiple of 5 and ((-3)\/(-2))\/(o\/(-32))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 2*c + c + 5*c. Let a(k) = -4*k. Let r(s) be the second derivative of s**4\/12 - 2*s**3 - 7*s**2\/2 - 4*s. Let x be r(13). What is x*m(o) + 7*a(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113.4 + 6.6. Let v = i - 117. What is the smallest value in 2, -1\/2, v, -1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b - 3*b. Let u(y) be the second derivative of 0 - 1\/12*y**4 + 0*y**3 - y - 5\/2*y**2. What is u(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309601.\nAnswer: 1309601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3083*s - 160 = -3091*s. Solve s*i = -14*i + 136 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1499352 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 329, 717, 1275, 2015, 2949?\nAnswer: 4089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6289 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-215.\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/17)*b)\/(b**(-3)*b*b))**14*(b**(7\/3)\/b**(-12))**(6\/7) assuming b is positive.\nAnswer: b**(6264\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3*(5 + 124\/(-24))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/((-40)\/18876) - 1*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 22*w + 12. Let t be k(-5). What is the common denominator of (2 - 6)\/(t\/175) and 35\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, v: 1, q: 2, h: 1, a: 4}. What is prob of sequence av?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -15*s - 87, -1017*s + 1012*s + t = 31 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4619\/30 - -154. Let c(w) be the third derivative of -3*w**2 + 0*w + 0*w**3 - t*w**5 + 1\/12*w**4 + 0. Factor c(x).\nAnswer: -2*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 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: What is the common denominator of 29\/6058710 and 55\/42?\nAnswer: 6058710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 < 0.2075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -11, -29, -63, -119, -203, -321, -479?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79505 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211384?\nAnswer: 2, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(240)*-1 + sqrt(240))\/sqrt(8) - (sqrt(2430) + (sqrt(2430)*2 - sqrt(2430))))\/(sqrt(60)\/sqrt(6)*1 + (sqrt(40)\/sqrt(4)*-5 - sqrt(10))).\nAnswer: 36*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/7, 7, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1307 + 583 = 5*z. What is the lowest common multiple of z and 294?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -3)*(16 - 15). Solve o = 19*f - 11*f + 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1960*k**2 + 381445 - 381445.\nAnswer: 1960*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/24950 and 59\/22.\nAnswer: 274450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -141485.\nAnswer: 3\/141485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14482 and 4456?\nAnswer: 57928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/39*309\/(-9). Let j = k - -10\/13. Which is the second smallest value? (a) -1 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 602, 615, 636, 665, 702, 747, 800?\n\"Answer: 4*a**2 + a + 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4378 + 0?\nAnswer: -2.4378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 = -11*o - 327. Let i = o - -209\/3. Which is the nearest to 1\/3? (a) 2 (b) i (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + -1 + sqrt(245) + 1) - (-4 + (sqrt(120)\/sqrt(2)*-4 + sqrt(60))\/(sqrt(144)\/(sqrt(48)\/sqrt(4)))))**2.\nAnswer: -496*sqrt(5) + 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/360 + 329*a**4\/24 + 108241*a**3\/4 - 7291*a**2. Solve h(q) = 0.\nAnswer: -987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 11:40 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 76\/(-1) + -4 + 5. Let j = -54 - w. Let b = 4 + -1. What is the greatest common divisor of b and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 32688?\nAnswer: 751824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 874 + -864. Suppose -c = -l - 8. Let h(r) = -3 - r + 2 + 3. Give h(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 2 = 4*o + 3*p - 8, 0 = -o + 2*o - 0*o + 12*p + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 66?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - ((-5 - 2) + 9)) + -18 - -7\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -31. Suppose -8*f = -9*f - g. Which is smaller: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 2:06 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3834\/(-42))\/1 + (-2)\/(-7). Suppose 0 = -8*o + 4*o - 648. Let k = y - o. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:50 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a*d**3*p - 3*a*d**2*p + 3*a*d**2 + a*i - d**4*i - 206*d**4*p - 14*d**2*i*p + i*p wrt d?\nAnswer: -30*a*p - 24*d*i - 4944*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 38. Solve 7 = x - 4*d + 14, 2*d = -4*x + u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -1)\/((-6)\/4). Let g be (w + 0 + 1)*-3. Differentiate g*j - j - 4*j - 2 + 5 wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1585926 or -1585939?\nAnswer: -1585939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/15*(-1 - -6). Let z(x) = -x**3 + 3*x**2 + x. Suppose -4*f + 17 = 5. Let j be z(f). Solve 0 = -j*s + 3*u, -q*u - u - 7 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 723141 - 123?\nAnswer: 723016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**3 + 168*l**2 + 624*l + 608 = 0.\nAnswer: -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000017189461 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/4 - 3) + 9\/(-6). Which is bigger: 0.3 or v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 49 = 5*v, r - 2*v = v + 23. Let a be 6 - -9 - (0 - -1). Suppose -q = -f - 2 + 3, q = -2*f + a. Solve 5*k = s - 5*s + r, 0 = q*s + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**4 - 20*o**3 + 240*o**2 + 20*o - 238 = 0?\nAnswer: -17, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1607, 1612, 1613, 1604, 1579?\n\"Answer: -y**3 + 4*y**2 + 1604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8400\/90 + 4\/6. Let p be (b\/18 - (6 - 1))*9. Factor -14\/5*m + 1\/5*m**p + 49\/5.\nAnswer: (m - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 + -2 + -21 + (26 - 4)) - -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7219997 is divided by 45696.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3551411 (base 6) in base 14?\nAnswer: -4b95d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 2*d**6\/3 - 13*d**2\/2 + 15. What is the second derivative of s(a) wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (1 - -1250)\/3 + (-9)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 47 (b) 2 (c) -0.2 (d) 2\/7 (e) 0 (f) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 36602.\nAnswer: 36602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -58*a + 1238. Give q(13).\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.679 - -0.021. Let w = m + -7.7. What is the biggest value in 1, -0.9, w, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2433 (base 6) to base 3.\nAnswer: 211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309 - 311. What are the prime factors of d + -5 - -8 - -519?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216 - 416. Round y to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 88, -81, 1\/3?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/(-80) + 1\/(-3 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 6:21 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1\/2)\/r)\/r)\/(r*r*r\/(r**(-4)\/r*r)))\/(r**(-8)*r\/r**(1\/19)) assuming r is positive.\nAnswer: r**(-55\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*q + 23 = 0, 5*q - 37 + 12 = 0. Let n = 11 - i. Suppose w + 978 = n*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**3\/3 - 3*l**2\/2 + 2*l + 1. Let m be b(-3). Suppose 5*q + 4 = -5*p + 19, m = -2*q. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, s: 7}. What is prob of picking 2 z and 1 s?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3058\/141783 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1228*l - 8574*l - 2223*l in the form u + y*l and give y.\nAnswer: -12025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7552 and 13452.\nAnswer: 430464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*s + 64, j = 4*j + 2*s - 49. Let t(d) = d**2 - 3*d - 6. Let o be t(5). Suppose j = 5*v + o. Solve -v = -n - 0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44777420?\nAnswer: 2, 5, 547, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550 (base 8) in base 13?\nAnswer: b2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4235, 4182, 4019, 3692, 3147, 2330, 1187?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -266.494794 rounded to the nearest integer?\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8*u + 3. Let a = -17 + 19. Suppose 0 = -a*h + 9*h - 14. Give b(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r - 31. Calculate k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 395032657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -7*u**4\/24 + u**3\/6 + u**2\/2 + 3. Let o(g) be the second derivative of d(g). What is o(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1206*u**2 - 6420*u - 10. Let p(o) = 605*o**2 - 3209*o - 4. Let l(s) = 2*a(s) - 5*p(s). Find the second derivative of l(k) wrt k.\nAnswer: -1226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, a: 3, x: 3}. What is prob of picking 3 x and 1 a?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*1004.5.\nAnswer: -16072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -400.4 and 0.\nAnswer: -400.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/((-2)\/(-68)). Let u be 2 + -2 + 6\/(48\/(-40)). Let q = u + o. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238 + -76. Suppose r + 27 = -3*y, -y = -3*r - j + 61. Let i = r + 203. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -57?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (18 + -17 - 7 - -63)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2584)\/(-1088) - 1*2.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4392375\/7 or 627482?\nAnswer: 627482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m - 5. Let y(q) = -q + 1. Let t(j) = h(j) + 4*y(j). Let x(p) = 4*p - 3. Give -3*t(a) + x(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*r + 62. Let n be -12 - ((-4)\/(-2) - 0). Let s = n - r. Is 0 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*q + 264*q. Let h(k) be the third derivative of 1\/30*k**6 + q - 4*k**2 + 1\/2*k**4 + 1\/5*k**5 + 2\/3*k**3 + 0*k. Factor h(b).\nAnswer: 4*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14442 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-3*o + 5*o - 3*o) + 2*o - 3*o - 5*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 910868536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-10)\/(-6))*6. Suppose -l*f + 0*f = 20. List the prime factors of f\/(-5)*(-11)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.21 - 0.21. Let o be 17\/42 - (-3)\/(-6). Let q = 17.4 - 17. What is the second smallest value in v, q, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 8*y = 152. Suppose -y = 3*h - 3*n - 100, -4*h = -2*n - 114. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:26 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/104)\/(7\/(-56)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148.7 + -175. Let z = i + 26. Which is the fourth smallest value? (a) z (b) -5 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 3*w**4 - 4*w**3 + 1 - 65*w + 5*w**3 + 70*w to m*w**4 + p + a*w + i*w**3 + r*w**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xddxfxmxmm. Give prob of picking 2 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 48 - 2 - 17)*(-349*u**3 - 17*u**4 + 349*u**3).\nAnswer: 1445*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**4 - 15*v**2 - 20*v**2 - v**4 + 47*v**2 - 37*v**3 - 15*v**2 to the form t + c*v**4 + y*v + a*v**2 + s*v**3 and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.284 - -530.284. Let i = 434 - t. Which is the second biggest value? (a) 0 (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 21*w**2 - 10*w + 152. Let x be m(-20). Sort 4, 2, 0, x in decreasing order.\nAnswer: 4, 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 9*p + 3720. Let t = -66 + p. Suppose -t + 16 = -2*m. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113176 divided by 344?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11642 at most as big as -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 656 + -133. Let l = -298 + r. Let u = -154 + l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + h - 118 = 0, 2*h = 3*s + 4*h - 86. Suppose -2*k + s = 2*z, -4*k = -5*k - 2. Calculate the highest common factor of 221 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*j + 2*j. Let v be ((-12)\/(-9))\/((-4)\/j). Suppose -5*w + v*m + 14 = 0, 5*w - m - 4 = -4*m. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*o + 2297, -2*x + 4*x - 4*o - 1530 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n**2 - n - 17. Let q be l(0). Let y be (-3602)\/q - 10\/(-85). Let g = -89 + y. What are the prime factors of g?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (178\/2)\/(6\/30 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 35678.9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.7. Let w = -0.5 + h. Put -4, w, 3 in decreasing order.\nAnswer: 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f - 7 = 16*f - 135. Solve 5*r + 3 = -2*z, -f*z = r - 0 + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in milligrams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189690203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 1.24, -2.5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*k - 2*u, k + 4*u - 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/3, 4674\/25, 39?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/81 + 94\/18. Suppose -v*w - 3*m = -15, 5*w = -2*m - 7 + 17. Let o = w - -8. What is the highest common factor of 40 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/8 (b) -0.5 (c) 7 (d) 6 (e) 0.09 (f) -219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**4\/4 + 5*z**3\/3 + 3*z**2 + 2*z - 10. Let i(o) = -4*o**3 - o**2 + 1. Let l be i(1). Determine y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(-3)\/(-6)*-4*(-3)\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p + 5 - p**3 - 2*p**2 + 0*p**3 - 6*p**2. Let r be b(-9). Let d(x) = 5*x**2 + 2*x + 1. Let h be d(-1). Solve -h = t - r*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 11*x**2 - 3*x - 1. Let b(d) = -6*d**2 + 2*d. Let n be ((-14)\/(-4))\/(3\/(-6)). Let c(k) = n*b(k) - 4*a(k). Factor c(h).\nAnswer: -2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16808556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**5\/20 - 3*n**4\/4 - n**3\/6 - n**2\/2 + 10*n - 1. Calculate v(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 2837.53.\nAnswer: 851.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063293497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41340 and 2860.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 176*o**2 + 135*o. Let n(d) = -88*d**2 - 67*d. Let f(x) = -3*c(x) - 7*n(x). Find the second derivative of f(j) wrt j.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2478 + 2511. Suppose 30 - 170 = -4*s. Which is smaller: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 0.5 (b) 0.1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3704 less than 0.2231555?\nAnswer: 0.5935555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783544 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 3*l - 4*j + j, -l - j - 13 = 0. Let s be l\/(-45) - 4\/18. Which is the smallest value? (a) 2 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8698341*d**2 + 8698341*d**2 + 2 - 17396690*d**2 - 2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 15. Suppose -o + 3 = -m. Suppose 3*s - 11 - 4 = 5*q, -o*s - q = -25. Solve -s*l - 15 - 2 = -2*d, 3*l - 2*d = -11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -12*s**2 + 3*s + 0 - 11\/15*s**5 - 23\/24*s**4 + 0*s**3. Find the second derivative of n(j) wrt j.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/39, -2\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 319190560.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176214.\nAnswer: 2, 3, 43, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -290 - -348. What is the remainder when 404 is divided by f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -29 - -11) + -25\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5041 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(320)*-3*2)**2.\nAnswer: 11522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -113. Let v = -4 + h. Let x = 32.0000033 - v. Round x to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + o**4 - 16 + (o**3 + 0*o**3 + o**3)*(-4*o - o + 3*o) in the form p*o + j*o**4 + u + i*o**2 + x*o**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -12*s + 9 + 0 + 148*s**2 - 147*s**2. Let r be y(9). Put -1, r, -5 in decreasing order.\nAnswer: -1, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12 + 1 - (-8)\/6. Factor 3*c**5 - 43*c**3 + 8*c**2 + 34*c**3 - 2*c**g.\nAnswer: 3*c**2*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0102 + 3.0102. Which is the smallest value? (a) 2 (b) 0.05 (c) n (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {m: 12, k: 1, e: 3, d: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10641 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9845.922l in millilitres?\nAnswer: 9845922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 222384841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1641.\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -989\/198 - 5\/22. Find the common denominator of (12\/(-16))\/(8\/20) and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7080d - 6?\nAnswer: 70807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14\/167 - 389\/1336. What is the third smallest value in n, -0.1, -598?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - v = -306, 79*p - 80*p - 3*v + 143 = 0. Suppose -2*s + l + 111 = 0, -4*l = 3*s + 99 - 238. What is the remainder when p is divided by s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*b*v**3*y**2 - 38*b*v**3 - b*v*y - 2*v**3*y wrt y?\nAnswer: 158*b*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 85*c - 255 - 73*c + 126.\nAnswer: -158*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -681743?\nAnswer: 681745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 + 24*b**3 - 33*b**2 - 60*b = 0. What is b?\nAnswer: -1, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27582 - 151846 = -3*c - 11*c. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5 - 12220*s**4 - 9471968*s**3 - 211439552*s**2.\nAnswer: -4*s**2*(s + 23)*(s + 1516)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 9*x**2 + 1 - 3 in the form o + v*x + u*x**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14606, -29375, -44150, -58937, -73742, -88571, -103430, -118325?\n\"Answer: -a**3 + 3*a**2 - 14771*a + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17774*b**3 - 5*b**2 - 28*b - 5968?\nAnswer: 106644*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and -4684.828.\nAnswer: 702.7242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 c, and 1 y when three letters picked without replacement from {c: 2, v: 4, s: 2, y: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.014 rounded to zero dps?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2277262173 to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 106841386?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 4. Let v be f(0). Suppose t - v + 1 = 0. Suppose -t*w = -w - 10. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + v - v + 3*v + v - 2*v + (-3 + 4 - 2)*(3 + v - 3) + 21*v - 87*v - 11*v to c + l*v and give l.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 8:05 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 take away 708543?\nAnswer: -708510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 2*h - 33. Let k(c) = -c**3 + 3*c**2 + 2*c + 1. Determine k(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddkdkkdd. Give prob of sequence kdd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -17, 4, 0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 + 56*l**2 + l - 11. Let t(v) = v**3 - 14*v**2 + 3. Let q(z) = 2*c(z) + 9*t(z). Is q(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7357786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (3 + -3)\/(-3). Suppose -10 = -k - x, 2*k - 9 = k - 2*x. Let a(v) = d*v - v**2 - k - 2*v - 5 + v**3. What is a(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2\/5 + 4848*j\/5 + 5875776\/5 = 0.\nAnswer: -2424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -22*x - 3*x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25930762 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13979, -13976, -13971, -13964, -13955?\n\"Answer: u**2 - 13980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -131?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-9)\/6 - (-4 + -4). Suppose s = o*m + 1 + 11, 0 = 3*s + 3*m - 18. Calculate the greatest common factor of 49 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-686)*15\/3.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5137 - -5160.67. Let i = 3.33 + f. Is i greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10778 divided by -3?\nAnswer: 10778\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, -2\/19, -5, 2\/571?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 + 2*i - 4. Let j(t) = -t**2 + t. Let u(b) = -5*j(b) + r(b). Let a be u(3). Suppose z + 1 = a. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from vjjellc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(0 + -2 + 13). Let f = 101\/9 + k. Are -2\/5 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/2 of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**2 - 2*j. Let u be (-2)\/4 - (-6)\/(-4). Let r(b) = 16*b**2 - 1 - 313*b + 159*b + 160*b. Give u*r(y) - 7*m(y).\nAnswer: 3*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53172\/29353 or -1?\nAnswer: -53172\/29353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268*s**3 - 158*s**3 - 93*s**3 - 4*s - 37*s**2 + 2*s wrt s.\nAnswer: -3114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:25 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 53.7. Let f = g + -2. Let h = -2.7 - f. What is the biggest value in 2, 2\/13, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -464.\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*r + 7, -2*z + 0*r = 3*r. What is the second derivative of -28*k**z - 4*k + 34*k**3 - 3*k wrt k?\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5 = m. Suppose 3*c = -5*r + 6*c + m, -2 = 2*r - 2*c. Suppose 11 + 1 = r*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(4\/9)*c))**21*(c**36\/c)\/(c**13\/c) assuming c is positive.\nAnswer: c**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-693)\/98 + ((-285)\/475)\/((-146)\/70 - -2)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 11 = -4*u, h - 4 = -2*u + 5*h. Let a be u\/8 + (-86)\/188. Is a at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from gshhkzhzsgkhszg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 30601.2.\nAnswer: 30599.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2453*f**2 - f**3 - f - 2453*f**2 + f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 2. Let i be c(0). What is the units digit of 332\/12 + i\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21944 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b - 63. What is the units digit of u(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 144123 (base 5) to base 3\nAnswer: 22110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -144 - -6 - -87 - (-2 + 47)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 2\/3 (c) -5621 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 290*s**3\/3 + 548066*s**2\/3 + 86304330*s - 10120950 = 0.\nAnswer: -945, 17\/145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8370 = 106*u + 164*u. Let n = -9 - -13. What is the remainder when u is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*l**3*x - 2*f**3*l**2*x - 2*f*l**2*x + 118*l**3*x**2 - 18*l*x**2 wrt l.\nAnswer: -6*f**3*x + 708*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - 8*o**2 - 7*o + 4. Let u be 3 + 5\/(-5)*4. Let v be (3\/(-1) - u) + (-4)\/2. Is l(v) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -285?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (32350\/(-1250) + 26)\/(3\/(-5))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2879\/2 + -1437. Let y(x) be the first derivative of -2\/3*x**3 + 8 - q*x**2 - 4*x. Calculate y(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-8) + 12\/(-32). Let f = -466 - -470. What is the nearest to 1\/4 in f, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36868 - 7327. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3651 by 3.\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*h. Which is the nearest to h? (a) 0.3 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 19*q**2 + 4*q - 3*q to k*q**2 + x + a*q and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaakbdbiadaaaadbaad. What is prob of picking 1 b and 2 a?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -813dd (base 16) to base 5.\nAnswer: -113414443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*i - 9 + 25 + 1 = 0, -20*g + 45 = i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -454\/5 or -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17258969*t**6 - 3*t**2 + t + 125692.\nAnswer: 2071076280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.4. Let s = 0.3 + u. Let z = -0.9 - s. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + 10 - (1 + -3). Suppose -10 = -3*s - u. Suppose -4*i = -i - 27. What is the lowest common multiple of s and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -9 (b) -264 (c) 0.08 (d) -1\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1904)*-56 + (-4910)\/(-510)*3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcvzvfffxvzffkz. What is prob of sequence fxz?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyypyyyyyy. Give prob of picking 3 y.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 7*j + 16. Let o(t) = -5*t**2 - 15*t - 40. Let f(i) = -2*o(i) - 5*u(i). Let s(c) be the second derivative of c**3\/2 + 3*c. Calculate f(s(q)).\nAnswer: -45*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d + 4. Let r be p(-2). Let n = r + 5. Is -2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507 is divided by 127.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1821 divide 4521577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -20*1*(-2)\/4. Suppose -j*i + 17*i - 28 = 0. Suppose -3*a = -a - 36. Solve -2 = -i*n - a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -37*n**2 + 10*n - 5. Let h(a) = 52*a**2 - 14*a + 7. Let z(b) = 7*f(b) + 5*h(b). Let q(k) = -14*k**2 - 60*k**2 - 43*k**2 + 16*k**2. What is z(q(c))?\nAnswer: 10201*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13391\/62 - -216. Let n = 113995 - 21203135\/186. Let p = n + b. Is -1 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 2, -60.94?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*p + 6*p + 751 = -221 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -793 + 885. Suppose -p*v + 49*v = -70563. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19639.\nAnswer: 41, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5180*b + 5183*b - 10360*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3199 divided by -3667?\nAnswer: 3199\/3667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b + 11. Let f(c) = 2*c - 6. Let l(p) = 11*f(p) + 6*s(p). Let j(r) be the second derivative of 2*r - 30 - 5\/3*r**3 + 0*r**2. Calculate j(l(k)).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42401 + -14?\nAnswer: 42354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 21 - (-370 - -377)) + -3 + 16.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (11 + (10 - 20))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*g - 653, -g + 2*g = -4*k - 145. Let h(b) = 7*b**2 + 3*b - 15. Let m be h(-6). Let p = g + m. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 21. Suppose -8*s + 15 = -v*s. Let t(q) = -q**3 - 4*q**2 + 7*q. Give t(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/30 + (-2)\/(-5). Does 13 divide t + (-2)\/2 + 4*21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*w - 1 + 3*w + 10*w)*(222 + 20 + 64) to the form t*w + m and give t.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 15*v + 252. Let z be d(-17). Is -4 + 336 + z - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -2. Sort q, 4, 2.\nAnswer: 2, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/840 + n**6\/108 + n**5\/90 + n**4\/12 - 4*n**2. Let a(m) be the second derivative of h(m). Factor a(b).\nAnswer: (b + 2)*(9*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2. Let i(y) be the first derivative of 7*y**3\/3 + 91. What is i(p(o))?\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4641242*t**2 + 203366.\nAnswer: -9282484*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m - 7. Let b(j) = 4*j + 10. Let o(d) = -5*b(d) - 7*v(d). Let l(k) = 9*k - 4. Let h(s) = l(s) - 5*o(s). Find the first derivative of h(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(120)\/sqrt(5))\/(2*(sqrt(8)*-2 - sqrt(8)))*-3*-2.\nAnswer: -4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -712870 rounded to the nearest one thousand?\nAnswer: -713000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 - 760 = 4*k. Which is the biggest value? (a) -4 (b) k (c) 0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/(-48 - -51) + (-700)\/24.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 - (4 + (-2 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + 116*v**2 - 232*v**2 + 116*v**2.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((0 - -26) + -503 + 512)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -5. Let d = -10 + f. Suppose d = -4*z - 21 + 93. Calculate the remainder when 33 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18384, -36777, -55172, -73569?\n\"Answer: -f**2 - 18390*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.5, -4, -548, 11?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 8*u**2 - 3*u - 29. Let y be g(7). Let q be (-4)\/(-1) + 111 + y. Calculate the highest common factor of 12 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 10*m**2 + 10*m - 8. Let x be i(-11). Which is the closest to 2\/5? (a) x (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 57. Calculate the highest common divisor of j and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*s - 21*s - 41*s - 192. What is the closest to s in -1\/2, -1.4, -0.2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4013212 (base 5) to base 13.\nAnswer: 22c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -p + 148. Let f be (p\/4*2)\/((-111)\/148). Solve 4*m = 4*i + f, -4*i = -m + 4*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4)*3)\/3. Let a = 16 + -16.26. Let b = -0.16 - a. Are z and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/37)\/p*p)**20 assuming p is positive.\nAnswer: p**(-40\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6795000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (10 + -12 + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.908 + 978.692. Round s to the nearest ten.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -5*o. Suppose -z + o = 2*f, z + 4*f + 2 = -0*f. Suppose z*k - 130 = 4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-865125)\/6921 + 0 + -7.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-275 + 275 + 21*i**2)*(8 - 3 + 10 + 8 + (1 + 1 - 3)*(-1 + 2 + 0) + 3 + 1 + 0).\nAnswer: 546*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -389*k + 37356. Let l be w(96). Let m be (376\/5)\/((-6)\/(-45)). What is the greatest common factor of m and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**8\/84 - c**6\/24 + c**5\/30 - c**4\/12 - c**2 + c. Find the third derivative of t(j) wrt j.\nAnswer: 240*j**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1792 and 12113346.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108674 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 0 - 1\/15*p**3 + 0*p**2 + 1\/60*p**4 + 2*p. Suppose r(w) = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -375428.\nAnswer: -112628.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 34191, 0.1, -0.03, 1\/17, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 289, 296, 307, 322, 341, 364?\n\"Answer: 2*d**2 + d + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 23*d**6\/120 + 13*d**3\/6 + 39*d**2. What is the derivative of v(k) wrt k?\nAnswer: 69*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b028 (base 12) to base 6\nAnswer: -224052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.22 - -19.08. Let w = r + -1.3. Let x = w - 22. Is x greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.4 + 16.8. Let b = 16.98 + v. What is b rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + -105. Let j = i - -211.8. Round j to zero decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - -2*sqrt(102)*4)\/(sqrt(6) - (sqrt(6) + (sqrt(6) - sqrt(144)\/sqrt(6)))).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -15618.73.\nAnswer: -15618.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3. Sort 2, -5, j in increasing order.\nAnswer: -5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n = 13*n + 42*n - 200 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 u when three letters picked without replacement from {u: 5, e: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11594 and 21483?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53860335878\/2911041 - 94\/126567. Let l = z - 18506. Are -3 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*s + 60, 4*h - 4*s - 64 = -16. Calculate the greatest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.5 (c) -847 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*(-5)\/(-35)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 1. Let l(m) = -14*m + 69 + 76 - 149 + 2*m**2. List the prime factors of l(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*w**4 + 346582*w**3 - 5998575*w wrt w?\nAnswer: -348*w**2 + 2079492*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928529?\nAnswer: 7, 132647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 2*d**2 - 4*d - 6. Let x be -81*(16\/(-12) - -2)\/(-2). Let o = 31 - x. What are the prime factors of t(o)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (2 + (-2 - -2 - 0)). Let o be (1 - 3 - h)\/(8\/12). Suppose 5*q + t = 5, -4*q + o = t - 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 15*a + 2. Let j be f(-17). Let y = -28 - j. Suppose y*u + 11992 = 5*x - 2329, 4*u = -3*x + 8567. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 2, a: 2, x: 2}. What is prob of sequence ay?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951386.2 millimeters to micrometers.\nAnswer: 951386200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 24, -8, -68, -156, -272, -416?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9352 + -168475\/18. What is the common denominator of 94\/6*(-6)\/(-16) and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1394*w + 965*w + 18*w + 1734*w - 211*w to the form q*w + z and give q.\nAnswer: 3900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3638475, 3638474, 3638473, 3638472?\nAnswer: 3638471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2131*c**2 - 1595*c**2 + 650*c**2 + 542*c**2.\nAnswer: -2534*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2541 - 2536. Solve 0*u + 2*u = -b*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 11*s - 19. Let f(q) = -14*q**2 - 43*q + 80. Give 2*f(g) + 9*t(g).\nAnswer: -10*g**2 + 13*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 80 + 3329*x + 38 - 1213*x.\nAnswer: 2116*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208 + -11. What are the prime factors of i?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let t be (-129)\/27 - 2\/9. Let s(x) = -6*x - 2. What is t*o(w) + s(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 137.47431829 to two decimal places.\nAnswer: 137.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + b)*(-4*b + 2 - 2) - 6*b**2 + 5*b**2 - b**2 + (-2*b + 3*b - 2*b)*(-b + 2 - 2) + 16*b**2 + 13*b**2 + 18*b**2.\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30659 in 1\/11, -1\/4, 4, -4, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and 35865285986?\nAnswer: 35865285994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -50*t - 267. Let d(y) = -255*y - 1335. Let n(v) = -4*d(v) + 21*f(v). Does 10 divide n(-43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091403 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2011100 (base 3) to base 7\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 104*x - 104*x - 2 + 0*x**3 + x**3 + 13*x**2 + 6. Let a be n(-13). Solve t = -a*k + 24, -2*t = 2*k + k - 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/8*90\/3*(-2)\/4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2168 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10939 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. What is the derivative of -2*w**2 + h*w - 3*w - 20 + 18 wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(140)\/sqrt(7)*-1 - 1*sqrt(20)*-6)\/(6*((sqrt(150)\/sqrt(3))\/sqrt(5) + sqrt(120)\/(sqrt(12)*-2))).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**7\/840 - 17*l**6\/1800 - 26*l**3\/3 - 2*l**2 + 208. Let h(f) be the third derivative of u(f). Factor h(x).\nAnswer: -x**2*(5*x + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-30)*6)\/(153\/(-1785)) - (21 + 16)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9031126?\nAnswer: 2, 13, 419, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 664889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 4. Let a be b(0). Suppose 330 = a*z + 74. What is the remainder when z is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22765\/12 + 1896. Let s = b + 5\/3. Find the common denominator of -19\/16 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - t**2 + 5*t**2 + (0*t - t + 5*t)*(-3*t + 3*t - 2*t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 695 - 0. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -781\/4 + 195. What is the common denominator of 6\/16*(-1 + -21) and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (0 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - 10\/6) + -452*(-10)\/(-240) and -149\/1218.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1323 and 32481?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1197*f - 5. Let h(q) = -479*q + 2. Let a(i) = -4*c(i) - 10*h(i). Let n(d) = -3*d + 0*d - 5*d. What is a(n(y))?\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13838172 by 2306362.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11685279797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 629*w**2 - 4*w + 21. What is the hundreds digit of p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 6:26 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.99394 days in minutes?\nAnswer: 125271.2736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22464 + 22510.82. What is y rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*28\/156)\/(1938\/(-25194))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 1, m: 2}. Give prob of sequence ez.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 8 = -2*d, 2*s - 4*d - 4 = -6*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1741 + -1747. Which is the smallest value? (a) -0.05 (b) -2\/5 (c) j (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 271 - 275. Let s be 13\/((-650)\/(-160)) + v\/(-5). Solve -s*m = 15 - 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 91\/117.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3\/5 + 42*s**2\/5 - 181*s\/5 + 138\/5 = 0.\nAnswer: -46, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + 3 + 3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(1053) - (-1 + sqrt(1053))))**2 - (5 + -2*sqrt(1053) + sqrt(1053))) + ((sqrt(1053) + -2 + -4)*1)**2)*6.\nAnswer: -594*sqrt(13) + 6600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 14*l + 56. Let t(u) = -2*u + 2. Give -i(b) + 6*t(b).\nAnswer: 2*b**2 + 2*b - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/23516 and 21\/23516.\nAnswer: 23516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95597573 at most as big as 95597573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 589470 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.686 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 11*t**2\/2 + 2*t + 648. Let o(l) = -6*l - 1. Let d(x) = -x**3 + 4*x - 3. Let b be d(2). Calculate b*y(k) - 5*o(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5 = 16. Let h(i) = 3*i**2 + 10*i - 2. Let f be h(n). Let p be 6\/10*(-1450)\/(-58). What is the greatest common factor of f and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -560.299718 - -571.89971978. Let h = p - 11.6. Round h to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846199.2ml to litres.\nAnswer: 846.1992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17039 + 3*w + 12626 + 578 + 4*w**2.\nAnswer: 4*w**2 + 3*w + 30243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*j - 115. Suppose 0 = -11*k - j*k + 1140. What is the highest common divisor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38765?\nAnswer: 5, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-68)\/(-18))\/((-1)\/15) + (-12080)\/(-36240).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/7))**(-26)\/(((i\/((i*i*i*i\/((i**(-1\/9)\/i)\/i)*i)\/i))\/i*i)\/(i*i**(-17))) assuming i is positive.\nAnswer: i**(-1388\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1094 + -1094.739. Round g to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57821756 is divided by 19273917.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + 2 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*h**3*m + 14*f*h**3*v**2 - 4*f*v**2 - h**3*v + 5*h**2*m*v + 2*m*v**2 + 4*m*v wrt v.\nAnswer: 28*f*h**3 - 8*f + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from btvbttvbtt?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7087*l - 7077*l = 150 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2870*c**3 + 2612*c**3 - 5472*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -310*m*u**2 - 67*m*u - 9994*u**2 + 84513*u wrt u.\nAnswer: -620*m - 19988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033 to 3 dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:18 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.2 + 12.7. Let h = 43 - p. What is the third biggest value in h, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 3*q**2 + 3*q - 3. Calculate v(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1715\/6 - (-1)\/6. What is the highest common divisor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 22*k**2 - 56*k - 168. Let f be z(-24). Solve 13*m - 7*m + f = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4381736 = 8*u + 1194192. Suppose -7*v + u = -252557. Round v to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -x + 2*u + 4, x = -4*u - 15. Which is the closest to x? (a) 0.5 (b) 1\/8 (c) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 8:16 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57666 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 509*v - 798. Calculate z(2).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-4 + 1) - -6. Let b be p\/3 + -5 + 7. Solve -m = 4*m + b*i, -2*i = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r. Suppose 3*q + 2 + 4 = r. Let o be ((-3)\/(-14))\/(q\/4). Is o < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -848\/1111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 461 in 20, 3, -1, 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 5*q**2 + 6*q + 8. What is the lowest common multiple of ((-6)\/15)\/((-3)\/75) and v(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 68 = 4*t, 4*y + 0*y - 72 = -4*t. What is the common denominator of -24\/7 and (-5)\/t - (-9 - -8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 37, -3, 8, -3\/16, 0.5, 4 in ascending order.\nAnswer: -3, -0.5, -3\/16, 0.5, 4, 8, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35442463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000019883 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 5, s: 2, y: 3}. Give prob of picking 2 s and 1 v.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*2*-1 + -1*(sqrt(1100) + sqrt(1100)*2))**2 + ((sqrt(1584) + -2 + sqrt(1584) + 1 + sqrt(1584))*-3)**2.\nAnswer: -648*sqrt(11) + 155813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 18*t - 2*k + 12 = 0, 0 = -2*t + 3*k + 8. What is the closest to 1\/3 in t, -15, 0.019?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*x + 15, -12 = -2*z - 2*x - 0*x. Let r be z - -51 - (4 + -2). Let o = r - 35. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 2.1, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 11. Let r(z) = z**2 - 6*z - 6. Let d be r(8). Let k = 12 - d. Solve -k*j + a = -c, 0 = -5*j - c - 2*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 10*t**2 - 11*t - 41. Let x be w(11). Let o = x + 90. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.7. Suppose 2*f - f - 8 = h, -f + 7 = -2*h. Let b be -7 + f + 15\/(-3). What is the nearest to 0.1 in b, -3\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khsnp. Give prob of sequence nksh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 4*h**2. Let o = -12 - -34. Let c be (32 - o)*2\/4. Let x(b) = b**3 + 2*b**2. Give c*x(t) - 2*q(t).\nAnswer: -t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6993029, 13986096, 20979191, 27972320, 34965489, 41958704?\n\"Answer: w**3 + 8*w**2 + 6993036*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (930\/837)\/(1\/9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(16 - 11 - 2 - 13*l).\nAnswer: -39*l + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = t - 14, 3*i = 4*t + 4. Let u(j) = j**t + 2 + 1 + 0. Let m be -2 + (-1)\/(1\/(-2)). Determine u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 62857 and -85.596?\nAnswer: 62942.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/(-20) - 2002\/(-130). Let g(o) = -o**2 + 17*o - 36. Calculate g(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (1 - (-10 + 5)) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20000245 by -289.\nAnswer: 69205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 14*r. Let b be m(10). Round b to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -4*(6 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.819656 kilograms in micrograms?\nAnswer: 8819656000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 20 (c) -10 (d) -0.034 (e) -1 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + -3. Let k(g) = -6*g - 16. Let m be k(l). Calculate the greatest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1966*w. Let d(s) = 2*s + 43. Determine l(d(g)).\nAnswer: -3932*g - 84538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let x(t) be the second derivative of 12*t**3 + 13*t**2\/2 + 9*t. Let i(l) = 35*l + 6. Let a(y) = -13*i(y) + 6*x(y). Determine o(a(p)).\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + p**2 - p + (-2 + 0 + 0)*(0*p + 0*p - 2*p**2) + (2*p**2 - 2*p**2 - p**2)*(2 + 0 - 1) - 21*p**2 - 20*p**2 + 57*p**2 - 3.\nAnswer: 20*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 - 876 = -5*n + 5*u, 496 = 2*n + 5*u. Let c be (-13)\/((-39)\/(-198)) - 0. Let v = n + c. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673657, -673664, -673671, -673678, -673685?\nAnswer: -673692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 96*b**2 + 4*b + 50. Is 26 a factor of x(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a + 45 = 44*a. Solve 5*s + 0*s + 7 = p, a*s = 5*p + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 455?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -92*r - 31. Suppose 4*z - 4 = -2*j, -2*j + 8 = -8*z + 13*z. What is the tens digit of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/665 and -47\/1235.\nAnswer: 8645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/((-6)\/(-32)*2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -757*k**2*m**2 - 136*k**2 - 143*k*m**2 - 3426*m**2 wrt k.\nAnswer: -1514*m**2 - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b - 117. What is u(-11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 + 9*s**2 + 45*s**2 - 22*s**2 + 46*s**2.\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 1 - 1)*(3*o**2 - o**2 - o**2) + 221*o**5 - 166566703*o**4 - 2*o - 1494*o**5 + 166566701*o**4 + 2.\nAnswer: -1272*o**5 - 2*o**4 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2 - 39*v + 68*v - 27*v + 5*v**2. Let z = -26 - -28. Let o(g) = 0 - 1 + g**z + 1. What is -6*o(c) + q(c)?\nAnswer: -c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5981872 divided by 7?\nAnswer: 5981872\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -27*w - 70. Calculate y(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -970 + 1373. Let m = -78 + q. Let z = 325.0000147 - m. What is z rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3*(-22)\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 8*c**2 - 6*c + 9. Let p be n(-7). Suppose p*a = 4*a - 2. Let u(f) = 4*f**2. Let o be u(a). Calculate the greatest common divisor of o and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 8*j - 3*x - 26, 3*x - 2*x = 2*j - 3*x - 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -265, -1164, -2681, -4834, -7641?\n\"Answer: -3*z**3 - 291*z**2 - 5*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88023606 a multiple of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(3 + (2 - 4)))\/(-1). Calculate the greatest common divisor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*a**2 - 3*a**3 + 3*a**4 - 103*a**2 + 0*a**3 in the form b*a**2 + i*a + s + x*a**3 + v*a**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2493 equal to -2519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.043 - 0.043. Let n = 7819 + -7823. Sort -1, n, j in increasing order.\nAnswer: n, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61532066 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-26)\/(-6))*(-30)\/25. Suppose -y - 1208 + 228 = -2*c, b*c - 1954 = 5*y. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5)*2*-2 + (sqrt(180)\/sqrt(4) + sqrt(45))**2.\nAnswer: -4*sqrt(5) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + c**2 - c**2 + (-12*c + 8*c - 5*c)*(0*c + c + 2*c) + 105*c**2 + c - 52*c**2 - 99*c**2.\nAnswer: -72*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/4 + 14021*v\/4 - 14023\/2 = 0. What is v?\nAnswer: -14023, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 224928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 520. Calculate the greatest common divisor of l and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -14*k - 1. Let m be y(-5). Let s be 1 + 35 - (2 + -3). Let w = m - s. Solve -3*p - 24 = -3*b, 5*p - 4*b = -b - w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4 + 1 - 1 - t. Let r be z(-6). Solve 0 = -v - r*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eneeeeeeeenee. What is prob of sequence en?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96678719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 66 = -4*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3937 by 15.\nAnswer: 3937\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 + 0?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/(l\/l**(1\/2)))**(-34)*(l*l**(1\/2)*l)**(1\/48)*(l**7*l)\/(l*l*((l**(-1\/6)*l)\/l)\/l) assuming l is positive.\nAnswer: l**(-5753\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 1059*q**2 - 25 + 1094*q**2 to b + o*q + l*q**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50940284*y**3 + 68364923 with respect to y.\nAnswer: -152820852*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnnnnbjnnnnnnbbbnbc. What is prob of picking 1 c, 1 n, and 1 j?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*b - 14*b - 27*b)*(-1 + 6 + 0)*(-3 + 3 - 2*b)*(-102*b + 15*b**2 + 102*b).\nAnswer: 8100*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k**2 - 4*k + 2. Let p be g(1). Suppose p*y = 85 + 145. What is the remainder when 136 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135289872 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*g + 10, -6*m + 5*m = -2*g - 3. Let r be 1\/m + 68\/85. Solve u + 1 = -r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -44*j**2 - 4*j + 13. Let n(o) = -22*o**2 - 2*o + 7. Let w(q) = 5*n(q) - 3*z(q). List the prime factors of w(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.3 rounded to the nearest integer?\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1131131032 (base 4) to base 13\nAnswer: 105310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/3*2\/10. Let n be 256\/(-96)*((-13)\/12 - l). What is the second biggest value in n, 0.3, 3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from uuucujjqqjqjuuqeuqeq.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, -5, -2, -4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/10881 + -7256\/10881. Which is the fourth biggest value? (a) 6\/19 (b) 11 (c) 0.4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:00 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6623025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 = o, -h + 4*o - 22 = -4*h. Let p = 8 + -5. Suppose -p*l = -4*t + 2*t - 14, -5 = -h*l - 3*t. Sort -0.3, l, -2 in descending order.\nAnswer: l, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19514\/9 + 2164. Is 1 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykkk when four letters picked without replacement from jxylyxxoxjkjkok.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4039 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: Let n be (1\/2)\/(2\/4). Suppose -6*f + f - 15 = 0, 2*f = 4*z - 10. Is n <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) 2\/21 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 488382.\nAnswer: 488374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 1265405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-348)\/(-8)*6\/9 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 4*t**2 - 2*t**3 + (-2 + 2 - 3)*(-3*t**3 + 5*t**3 + t**3).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 3*j + 50 - 3*j - 100 - 2*j**2 to c*j + s*j**3 + q + n*j**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 - (-583)\/(-154) - (140 - 141)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 45?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63461446*t**3*y**3 + t**3 + 148*t**2*y**3 - 80*t**2*y**2 - 4*t**2*y - 5*t**2 + t*y**3 wrt t?\nAnswer: 380768676*y**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 7*b = -0*b + 90 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8507591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-21))\/((-18)\/(-14)*30\/45)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069317462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*s + 325*s = -35*s + 39*s + 62814 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 19*w - 91. Let r be t(19). Let n = r - 268. Suppose 0*s + 12 = 3*s. Calculate the remainder when s is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 5*b**3\/3 + 78*b + 2. Let g(u) = 3*u - 2*u**2 - 3*u. Determine g(s(x)).\nAnswer: -200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3312144 (base 5) to base 10\nAnswer: -57174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = j - 8, 5*s = -2*j + 24 - 10. Suppose -2*f + 6*f = 3*m + 4033, 2*f - 2016 = s*m. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 11:14 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnyrp. What is prob of sequence ry?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5756 - 6683. Which is bigger: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1674768 to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11858*c**2\/5 + 151228*c\/5 - 482162\/5.\nAnswer: -2*(77*c - 491)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-14)\/(-3)*(-251)\/(-251)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 7. Let b(v) = 2*v - 15. Let g(q) = -q**3 - 11*q**2 + 11*q - 4. Let o be g(-12). Suppose -3*l = -o*l - 20. Give l*b(x) - 9*a(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Let z = 12140 - 12140.1. Which is the smallest value? (a) 1.9 (b) z (c) -3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**3 - 7*j**3 + 19*j**3 - 9*j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253709449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1 - (-3)\/(-3)). Let l(i) = w*i**3 - i**3 + i**2 + 4*i**2 - 7 + 0*i**3. What is l(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/5)\/((24\/30)\/(-2)). Suppose 0 = k*p + 12, -4*x - 5 = -p - 281. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 21 = 2*h, 3*h + 19 = u - 6*u. Let i = 1 - h. Let j = -55\/188 + 2\/47. Is j >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 2*z**2 - 4*z - 3. Let w be i(-2). Suppose -w*h + 4770937 = -129063. What is h rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/6 and -59\/183222.\nAnswer: 183222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.4 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2301 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21419606191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/15)*t*t\/(t\/(t**(-7\/2)\/t*t))*t)**31 assuming t is positive.\nAnswer: t**(-1519\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s + 66 = -39*s - 54 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22434286, 22434311, 22434336, 22434361?\nAnswer: 22434386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**2*p + 18*f*j**2*p**2 + 5*f*p**3 - 47*j**2*p**3 + j**2 + 7*j*p**3 wrt f?\nAnswer: -6*f*p + 18*j**2*p**2 + 5*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -175605 (base 9) to base 6\nAnswer: -2201052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.028 and -36075.4.\nAnswer: -36075.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 86\/8 - 3\/4. Let q(x) = -x**2 + 8*x + 4. What is q(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**5\/60 - f**4\/3 - 10*f**3\/3 + 267*f**2. What is j(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3402180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 33. Let t(z) = -z + 50. Let i(y) = 5*t(y) + 8*x(y). What are the prime factors of i(14)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 226 and 2?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + a + 3 - 4*a - a - 3*a + (a + a + 6*a)*(0 - 3 + 1).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -266 + 266. What is the closest to -1 in 0.5, 2, 2\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902424 is divided by 223959?\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from {v: 1, s: 4, i: 1, b: 2, o: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 1, 4, 7.\nAnswer: -11, -4, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330942, -330926, -330898, -330858, -330806, -330742?\nAnswer: -330666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7)**(1\/4))**(2\/79) assuming j is positive.\nAnswer: j**(7\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/468*-102*(-2)\/391.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454 (base 6) in base 2?\nAnswer: 110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Let t(a) = -a**2 + 3*a + 1. Let x be t(g). Suppose 0 = 5*s + 2*d - 14, -3*d + 1 = 4*s + 2*d. Solve x*k + 18 = -k - 2*v, k + s*v = -22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by 9?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 90, -271, -778, -1431, -2230, -3175?\nAnswer: -4266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15262 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10327 * 0.1.\nAnswer: -1032.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*o**3*w**3 - 10*o**2*w**3 + 49*w**3 wrt o?\nAnswer: -882*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * -7.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/88 and 1\/26.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254800?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123545 (base 9) to base 2.\nAnswer: 10010010000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*k + 16*k**2 + 31*k + 3 + 28 - 13*k**2 - 4*k**2.\nAnswer: -k**2 + 456*k + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - ((16 + -14 - 3) + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:15 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 1. Suppose 0 = -2*p + g + 28, -6*p + p + 76 = -4*g. Calculate the lowest common multiple of p and f(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*i + 98, 5*x = 2*x - 6. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - m = -3*m - 14, -5*c - 3*m = -35. Suppose c*i = 8*i. Suppose 4*h = -i*h - r + 31, -3*h + 5*r = -6. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 30950?\nAnswer: -30950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 28, -15 in increasing order.\nAnswer: -15, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1268 by -317.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -19) + -108 + 30 + 84?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(54)\/sqrt(6))\/(-6*sqrt(48)) + -1.\nAnswer: -1 + sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1\/(-2) - (1192\/(-20))\/((-1088)\/1360)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 336 = -53*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -735490978*k**3 + 1141575622*k**2.\nAnswer: -4412945868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:19 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + -1 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (sqrt(76) + sqrt(76)*-2)**2 + ((1 + sqrt(1539))**2 + 0 - sqrt(1539))).\nAnswer: -9708 - 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669958616?\nAnswer: 2, 1847, 45341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*o + 2*s, 0 = -2*s - 0*s - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8478 - 8441. What is the biggest value in -32, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23928 and 2461593.\nAnswer: 2991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-4)\/(-2) + 0. Let d be p\/2 - (2 + -120). What is the greatest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -637 (b) -0.5 (c) -1\/3 (d) 573 (e) 2 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -14. Suppose -4*f - 16 = 0, -3*w + i*f + 280 = w. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 10:13 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -24. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 105 = -5*k. Let r = 41 - k. Let q be (r\/(-3))\/(-2) + 2. Solve 3*w + q*f - 11 = -w, -2*w + 7 = 3*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -1. Let k(n) = 2*n. Let l(t) = -1. Suppose 5*p - 21 = 4*q - 4, 5*p = -2*q + 29. Suppose p*j + 4 = -6. Give j*l(v) + u*k(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.051902015 - -0.0519. What is z rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513542337 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:42 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 576 = 8016. Let a = j + -617. Put 1, a, 6 in decreasing order.\nAnswer: 6, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 3*n + 5*n)*(-4*n + 4*n + 2*n)*(-1 + 8 - 8).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brf when three letters picked without replacement from bfrmrf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3672)\/104 - ((-66)\/(-39) + -2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = 24 - 124. Suppose -24 - 6 = -p*y. Suppose -2*q - 5*g - 1 = 0, 0*q - 4*g - 10 = -3*q. Which is the second biggest value? (a) q (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 smaller than 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 13. Let t be q(7). Let o be 2*(-4)\/t*-1 - -5. Solve -o*j + 3*j = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/8)*h)\/h*(h\/h**(-7))\/h)**(-5)*(h**(-4)*h**(-2\/7))\/(h**(-2\/3)\/h)**(1\/2) assuming h is positive.\nAnswer: h**(-6145\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((1\/(-24)*-10)\/(-5)*(-18)\/3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1309 - -1309. Solve u - 3*j - 5 = m, 9*u - 10*u + 2*j = -2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118 (base 14) to base 12.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0171053 * 0.1\nAnswer: -0.00171053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 627 and 14092737.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + 11 - 22 + 5*u as r + y*u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -22*c + 19. Let g(o) = 15*o. What is l(g(t))?\nAnswer: -330*t + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8*c = 9*c - 1147, 3*c + 379 = o. Suppose 16*p + 254 = o. What is the remainder when 110 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j - 6. Suppose 3*h + 3 + 0 = 0. Suppose -2*q - 15 = -3. Let c(p) = p + 1. What is h*l(w) + q*c(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -128797 (base 10) in base 3?\nAnswer: -20112200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/2, 4\/9, -67 in decreasing order.\nAnswer: 4\/9, -3\/2, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, f: 1, v: 1, q: 1}. Give prob of picking 3 t and 1 f.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613603 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, -210, -671, -1410, -2457?\n\"Answer: -5*i**3 - 94*i**2 + 104*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {r: 1, u: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 222899*f*u - 964270*f + 2*u wrt u.\nAnswer: 222899*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29540 is divided by 9758.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.991138 and 667?\nAnswer: 669.991138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 3. Let c be n(-3). Suppose c*z = z. What is the second derivative of z*t - 3*t**3 + 0*t + t wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 88\/(-32) + -4 - -1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 11:22 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140.8 - 141. What is the closest to -2\/3 in 0, q, -2\/21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552085 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: Suppose -8*q + 7879 = -1617. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*w + 40, 14 = 5*f - 1. Let z = -10 + w. Let r(b) = -194*b - 1. Is r(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: c5 (base 15) to base 3\nAnswer: 20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-9\/4))\/(l*l**(-1\/10))*l**2\/(l\/((l**(-2\/63)*l)\/l)))**(-28\/9) assuming l is positive.\nAnswer: l**(-5441\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/8*(-80)\/60*-48?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10300*b - 41546*b + 10638*b + 10304*b + 10296*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/24513)\/(-3 + 2). Let w = r - 498473\/343182. Calculate the common denominator of w and -83\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**4 + m**2 - m - 1. Let h(p) = 32*p**4 - 18*p**2 - 6*p - 6. Let t(q) = -6*a(q) + h(q). What is the third derivative of t(g) wrt g?\nAnswer: 912*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -840, -3, -1, 1\/2, -1\/8 in increasing order.\nAnswer: -840, -3, -1, -1\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 73 + 784 = 0. Suppose 4*p = -4*g - p - 506, 5*p = 2*g + 268. Let h = d - g. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3828120 (base 10) to base 4\nAnswer: 32212212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from sstlqssysllylqys.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*j = 7 + 1, 4 = -4*q + 4*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - 3*d + 3*d + (-6*d**2 - d**2 + 3*d**2)*(-125*d + 271*d - 129*d) to the form w*d**2 + k + v*d**3 + z*d and give v.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 11905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93149982 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 116 (base 8) to base 12\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 419.8 * 4\nAnswer: 1679.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/5 + 2*r**2 + 7. Let a(i) = -22*i**2. Give a(t(n)).\nAnswer: -3168*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228.2 - -156.81. Let o = -71 - k. What is o rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at least as big as -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(3\/4)\/w*w*w)\/(w**(-11)\/w))**(-2\/119))**(2\/117) assuming w is positive.\nAnswer: w**(-55\/13923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*g - 1 + 19, k = 4*g - 16. Suppose 1 + g = t. Let w = -11 + 16. Which is the nearest to -1? (a) -2 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhgrhbhswhgsbrgrhh. Give prob of sequence sgr.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 35, 77, 135?\n\"Answer: 8*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -39. What is the biggest value in -1, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 8*q**2 - 12*q - 3. Let p be t(-6). Let i(s) = s**2 + 8*s + 9. Let r(w) = -w**2 - 8*w - 8. Let j(m) = p*r(m) - 2*i(m). Give j(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1229 = -482*d + 418*d - 333 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 1477113?\nAnswer: 147710a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -163\nAnswer: -130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/(-15)*(-81)\/(-135)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 23 = -5*n, -2 = -4*m - 4*n + 2. Suppose -m*w - 5*y + 8 = 0, 2*y = 5*w - 2*y + 31. Let b be (-3 - w) + (7 - 3). Is b <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.54048ms to microseconds.\nAnswer: 52540.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/47468 and -25\/16.\nAnswer: 189872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmmm when four letters picked without replacement from {m: 3, g: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from iiiiyiyiiiiyyyii.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**5 + 0*j**5 - 2*j**5 + 5*j**5 - 4*j**5 + 0*j**5 + (j**2 - 3*j**2 + j**2)*(-2*j**3 + 0*j + 0*j) + 0*j**4 - 2*j**5 + 0*j**4)*(4 - 146 + 1057).\nAnswer: 2745*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -77313.01 to the nearest one hundred.\nAnswer: -77300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*b + 83 = 11*w, b = -2*w + 295 - 284 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -5*o**5\/2 + o**4\/24 + 5*o**3\/3 + 3*o**2. Let q be y(-10). What is q rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 + 2445*r**4 + 70995*r**3 - 154185*r**2 - 70992*r + 151740 = 0. What is r?\nAnswer: -30, -1, 1, 2, 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-84)*2\/(-164). Let j = b - 1137\/3157. Is j > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -2410?\nAnswer: -2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29032174*i**2*n + 14*i**2 - 3*i*n + 188503 wrt n?\nAnswer: 29032174*i**2 - 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + m**2 - 30*m - 1. Calculate t(-6).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -34278 at least as big as -34854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17408549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 - 12*h**2)*(-h**2 - 123 - 130 + 286).\nAnswer: 12*h**4 - 396*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 20 = 20. Suppose 2*f = -62 + p. Let b be 280\/f*6\/(-4). Solve m + b = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 3*w**2 + w + 2. Let v = 36 + -34. Let r be u(v). Is (-669)\/(-12) + (-6)\/r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -102. What is the closest to -1\/2 in 0.5, -2\/7, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 + -0.4758564.\nAnswer: 0.8241436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 3, u: 3, m: 1, n: 2}. What is prob of picking 1 n and 1 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388163664?\nAnswer: 2, 3, 7, 42787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 27. What is c(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 + 7. Let j(w) = 11*w**2 + 14. What is 5*j(f) - 9*o(f)?\nAnswer: f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 34 - (-4 - -3). Let v = -36 - q. Is (-120846)\/(-110) + 3\/((-15)\/v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -36 + 27*r**2 + 21 + 5*r**2 + 16. What is the remainder when w(-1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 712*g**2*w**3 - 11*g**2*w**2 - 41*g*w**2 + 58*w**3 wrt g.\nAnswer: 1424*w**3 - 22*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 534. Let x(l) = 9*l + 64. Give i(x(m)).\nAnswer: 27*m - 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 5*d**2 + 3*d - 3. Let t be p(-3). Suppose 4*y - 10 = t. Suppose y*m - 11 = a, 5*m = -a + 9 + 7. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4001613 and 21981.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5119 divided by -2.\nAnswer: -5119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - a = 725, 3*a = j + 6*a - 345. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9999942 - 2. What is l rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -1\/4 (c) -4 (d) 2\/1355\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 13 - 10 = 0. Let l(o) = 5*o**3 + 2*o**2 + 2*o + 3. Let p(u) = -9*u**3 - 4*u**2 - 3*u - 5. Give a*p(i) + 5*l(i).\nAnswer: -2*i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 - 17\/8 - 20\/(-8) and 107\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 60 = j. Suppose 3*h = h. Suppose h*n + n + 2 = 2*k, 3*n - 14 = -4*k. Solve -k*s = 3*s + j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 12:02 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 + 7*v + 5. Calculate the remainder when r(-2) is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463606455 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 5, g: 3, j: 1, x: 6}. Give prob of sequence xs.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 368235232*b**4 + 379261344*b.\nAnswer: 4418822784*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847445896 - 22763*i + 22763*i + 847445896 - 17*i**3.\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0*n. Suppose n*t + 3*t = 105. Solve -4*b + t = 3*y, y - 2*b = 4*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/(((b*(b\/b**1)\/b*b*b)\/b*b)\/b)*(b\/(b**0\/b)*b)**(-4))\/((b\/(b*b**(-2\/5))*b*b*b**(-1))\/((b**(-2\/3)\/b)\/b)**(-41)) assuming b is positive.\nAnswer: b**(5681\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.9. Let j be -2 + (-1 - (-15)\/3). Suppose -6*b = -j*b. What is the smallest value in b, 5, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23, -7968, -21201, -39716, -63507, -92568, -126893, -166476?\n\"Answer: d**3 - 2650*d**2 - 2*d + 2628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*3)\/(25\/((-1500)\/(-45))) + 7. Solve -j + 9 - 3 = a, -f*j + 28 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 8. Let p = 2 - 7. Let y = 8 + p. Sort s, 2, y in ascending order.\nAnswer: s, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r. Suppose 0 = -l + 4*o - 26, -l + 27 = -3*l + 3*o. Calculate j(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2\/3)\/k))**22\/(k**(1\/4)*k)**(-17) assuming k is positive.\nAnswer: k**(959\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 15*n**2 + 154*n - 2409. What is the ten thousands digit of i(-62)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -1\/2*g**3 - 3*g - 2 + 13\/12*g**4 - 19\/2*g**2. Differentiate a(q) wrt q.\nAnswer: 26*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3403\/85 - 209\/5. What is the common denominator of -33\/5 and a?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28861648 is divided by 2136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 4. What is the remainder when q is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527759?\nAnswer: 67, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (96\/8)\/(-3) - -14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10 - 2*j + 26 - 2 + 3. What is the remainder when 23 is divided by r(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000668447435 to seven dps.\nAnswer: -0.0000668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7430*17\/1105 - 5\/(-195)*-12.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x*y**4 - 198506*x*y**2 + 36833*y**4 + 2*y**3 wrt y?\nAnswer: -24*x*y + 883992*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - t - 14 = 0, 0 = -4*j + 460*t - 464*t - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01149959 to four decimal places.\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**3 - 44727*n**2 + 447045*n - 1117425 = 0. What is n?\nAnswer: 5, 14899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*d = 3*d - 8, 0 = v - 2*d - 4. Let g be ((-1)\/v)\/((-11)\/(-4)). Let y = 3 + -4. Which is the second biggest value? (a) 4 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205.05801 months to decades.\nAnswer: 1.70881675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -42*(-41)\/410 - (3 - -1). Let u be (-38)\/(-24) - (-2)\/(-8). Let f = 0.43 - 0.03. Put u, f, v in increasing order.\nAnswer: v, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374025620.\nAnswer: 2, 5, 1601, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (100\/(-1100))\/(5\/55). Let p(w) be the second derivative of 2\/3*w**4 + 0 + 1\/6*w**3 + 1\/2*w**2 - w. Calculate p(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 23 - 277 = 0. Let g be (-2 - -2) + 0 - -31. Suppose 7 - g = -x. Calculate the greatest common divisor of x and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -20*w**5\/11 - 2138*w**4\/11 + 634*w**3\/11 + 4118*w**2 + 38266*w\/11 - 4280\/11 = 0.\nAnswer: -107, -4, -1, 1\/10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + ((4 + sqrt(833) + -1)*-1 - -5*(sqrt(833)*-1 + -3))))**2.\nAnswer: 10584*sqrt(17) + 271656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 8:33 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a minute in seconds?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*21\/420*-90?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 1, c: 2, i: 1, t: 4}. What is prob of sequence ci?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 23 + 81. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let r be 1\/v + 78\/10. What is the greatest common divisor of 88 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from nfdnnfe?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 times -423?\nAnswer: -12267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 9*g**2 - 14*g + 27. Give p(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.9, -2, -1, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 759545733 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11575 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 50448 - 9*p - 50448. Let k(v) = -5*v. Give k(i(y)).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -711456 by -175.\nAnswer: 711456\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26599653.\nAnswer: 3, 71, 41627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -73.99999784. What is c rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -198*s + 192*s - 414. Let t be 12\/(-10) + s\/(-45). Let 2\/3 - t*c**2 - 1\/3*c = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 10:43 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q\/q**(1\/2)*(q**(-1\/4))**37)**(6\/25) assuming q is positive.\nAnswer: q**(-117\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -259.5 + 215. Let r = 22 + a. Let d = r - -12. Round d to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6 - 172\/8) + (-36)\/12.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 5*z + 2. Let q be (-4)\/(-10) - 58\/(-5). Suppose 32 = 4*v + q. Suppose -g + v = -2*c, 4*g + c = 5*c. Calculate l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 + x**2 - 4*x - 8. Let z be h(-2). What are the prime factors of (-3171)\/z*(-12)\/(-9)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + -17 + (-1 - 8)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294, 542, 776, 990, 1178, 1334, 1452, 1526?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12268688 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 92079990 = 4*a, -11*a + 4*y + 23020008 = -10*a. Round a to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 3*d - 632428*d**2 + 632423*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (5 - 4*3\/4). Suppose -v*f + 0*s = 3*s - 423, -f + 127 = 5*s. What is the remainder when f is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l - 96. Let v(b) = 31*b + 384. Let c(f) = -9*j(f) - 2*v(f). Let s be c(0). Is (-130)\/(-6) - (-32)\/s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/67694 and -10\/99.\nAnswer: 609246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3278 (b) 839 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 145*j = 150*j - 10, 0 = -9*g - 4*j + 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -3*k**5\/5 + 14*k**4\/3 - 40*k**3\/3 + 16*k**2 + 4*k. Factor x(w).\nAnswer: -4*(w - 2)**2*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320173295?\nAnswer: 3, 5, 7, 19, 661741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930428556 divided by 4080827.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -50.9959. What is n rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hww when three letters picked without replacement from {w: 9, h: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.2, 1\/4, 1, -44?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-8))\/(1\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-76) + (-75)\/(-252)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, q: 2, w: 2, r: 1, y: 12}. Give prob of picking 1 q, 2 w, and 1 f.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k - k)*(4 + 0 + 0)*(-3 + 1 + 0)*(2*k**3 - 3*k + 3*k).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -34*v + 13*v + 7*v - 43. Suppose 462 - 12 = 5*f. Calculate the remainder when f is divided by t(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1500023 (base 7) to base 9\nAnswer: 336612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352141?\nAnswer: 349, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2. Let f(o) = -117008*o**2. Determine f(x(p)).\nAnswer: -117008*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3803 is divided by 99.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4. Let x(w) = -w - 4. Let l(g) = 2*t(g) + 3*x(g). Let y be l(-4). Solve 0 = -3*u - y - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242267 to the power of 1\/2, to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.94 + -3. Let j = p + -0.04. What is the nearest to j in 2, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15*w - 4. Let a(j) = 16*j + 3. Let z(x) = 5*a(x) + 4*q(x). Determine z(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -59, -144, -273, -452, -687?\n\"Answer: -a**3 - 13*a**2 - a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 12, 4*a + 0*a - r = 27. Let s(j) = 2*j - 8. Let m be s(a). Let w = 7 - m. Solve 2*l = -c - 5, 0 = -w*l - 4*c - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10))**(-16\/5) assuming c is positive.\nAnswer: c**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 62*f. Let r(n) be the second derivative of 0*n**2 + 0*n**3 - 23*n + 1\/4*n**4 + 0. Determine r(l(p)).\nAnswer: 11532*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -147326 and -2465.\nAnswer: 363158590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*d**2 - 10*d**2 + 11*d - 25*d + d - 129*d**2 to b + w*d + o*d**2 and give o.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1283 + 1323. Let x = -3 + 2. Let q = n + x. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139506 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -169*s + 229. Let j(w) = 505*w - 685. Let p(i) = -8*d(i) - 3*j(i). What is the derivative of p(n) wrt n?\nAnswer: -163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 960397702 by 1.\nAnswer: 960397702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/20 - 19*j**4\/12 - 19*j**3\/6 - 8*j**2 - 23*j. Let p be g(20). Solve -m - 12 = -2*s - 3*m, m + p = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18233*l**4 - 51075?\nAnswer: -72932*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 223*p**2. Let k(q) be the second derivative of -23*q**3\/6 + 6*q - 48. Give x(k(a)).\nAnswer: 117967*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45394*i**5 - 77*i**4 + i**3 + 101*i - 22191.\nAnswer: -907880*i**3 - 924*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 127*v + 1973. Give c(-36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 804 - 806 + 1614. Let g = 14 + -10. Does 8 divide h(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*q = -26, 2*q + 2*q - 12 = 2*i. Suppose -2*r + 5*y + 21 = 0, -9 = r + i*y - 0. Factor 12*m**4 - 8*m**3 + 2*m**2 - 3*m**2 - 3*m**2 + 16*m**r.\nAnswer: 4*m**2*(m + 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326*r - 16*r**2 - 339*r + 1 + 668*r)*(r**3 - 6*r**3 + 2*r**3).\nAnswer: 48*r**5 - 9*r**4 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*p = -12, 23*q - 2*p = 22*q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 4*s**2 + 4*s - 3. Give o(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 75*x + 73*x = 1, -x + 3 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b*l**2*t + 123*b*l**2*w - 1715*b*l*t + 2*b*l*w - 2*b*t - l**2 + 38*l*t*w with respect to w.\nAnswer: 123*b*l**2 + 2*b*l + 38*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 703?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 796319 - 796254. Let k(v) = v**3 + 6*v**2 - 5*v - 8. Calculate the remainder when a is divided by k(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -120, -98, -58, 6, 100, 230, 402?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.24 - -39.46. Let w = 41 - y. Which is the nearest to w? (a) 1\/7 (b) -2\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340835*r = 340851*r - 160 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -553*n + 606439. Is g(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 9*d**2 - 1\/2*d**3 - 1\/12*d**4 + 0*d + 0. Determine b(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242398 is divided by 314?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2794 and 3048?\nAnswer: 33528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*v + 147, -5*v + s = -2*v + 89. Let g(a) = a**3 + 7*a**2 - 5*a + 18. Let b be g(-6). Let i = v + b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 less than or equal to 3213\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 1\/30*s**5 - 82*s**2 - 2*s + 5\/24*s**4 + 0 + 1\/2*s**3. Determine a, given that u(a) = 0.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22707, -22702, -22699, -22698, -22699, -22702?\nAnswer: -22707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 1.7. Let x = 0.6 + n. Let a = -6 + 3. Sort a, 3, x in increasing order.\nAnswer: a, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 512 and 208?\nAnswer: 6656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1549 - -4404. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4421944235 to the nearest integer?\nAnswer: 66498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 35886?\nAnswer: 35889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10542 + 10546. Solve 0*m = -4*a - t*m + 16, 5*a - m = 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2023000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, o: 2, a: 9, v: 2}. What is prob of sequence av?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 4. Let j be 7 - 80\/5 - (-3 - 11). Solve 0 = z - u - 3 + 1, -k*u + 40 = j*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1331)*1.\nAnswer: -22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 6:11 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -414, -1.3, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + -0.03. Let z = k + 0.04. Which is greater: 1\/2 or z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8271 = -c, 17*c - 66028 = 9*c - 4*l. Is -2 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*v + 15 = 0, 2*m - v - 15 = -6*v. Suppose -4*o + 8 + m = 0. Suppose -q + 81 = 5*a - o*q, -2*a + 22 = -3*q. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -12. Suppose -3*g = 2*g - 15. Let r be g\/(-12) + v\/(-56). Which is the third smallest value? (a) -2\/9 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 37345\/(-37367) + 1 + 1. Let u = x + 322711\/6794. Calculate the common denominator of 2\/411 and u.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 33*c**2 + c - c. Let m(f) = 2 - 16 + 15 - 1 + 65*f**2 - 71*f**2. Calculate m(o(x)).\nAnswer: -6534*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 12. Let i be s(-8). Suppose -k + 1 = -2. Solve 4*n - k*n + b = 5, 4*b = 3*n + i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 5*s - 2. Let l be i(3). Let y = -4 + 2. Sort 1, l, y in decreasing order.\nAnswer: l, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c**2 - c**2)*(3 - 1 + 0) + 2*c + 3*c - 1 - c + c**2.\nAnswer: 5*c**2 + 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 10) in base 9?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18 + -21)\/(1\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89423547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**6\/144 + s**5\/120 + s**4 + 25*s. Let q(i) be the third derivative of y(i). Calculate q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 820424*r - 820643*r - 9636 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*s - 140, -3*s + 5*b + 1 = -99. What is the remainder when s is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f - 1. Let u = -5 + 7. Let y(l) = 8*l**2 - 2*l - 2. Let g be y(u). Suppose m - 2*b + 6*b + 19 = 0, -5*b - g = -m. What is j(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 343121*o - 247532 wrt o.\nAnswer: 343121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 207\/45 - -1. Put 0.3, r, -3, 4\/9 in descending order.\nAnswer: 4\/9, r, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q + 1. Let v be p(-1). Let k = v + 3. Which is the second biggest value? (a) -3 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 b when three letters picked without replacement from jbctcljjcjclccctjjs.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5150.832 - 5189. Let f = x - -38. What is f rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264904333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 4:33 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214584099 and 4791.\nAnswer: 4791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 52*f = 51*f - 1, 0 = 3*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*r + 629 = 0, -2*r = f - 3*f - 438. Let i = f + 123. Let q be 3\/(-9) + i\/(-6). Calculate the greatest common divisor of 135 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1938.3299 - -0.3299. Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11867 is divided by 311?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 3*m = -5*p + 15, -304*p + 622*p - 312*p = 2*m - 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37659755 to the power of 1\/2, to the nearest integer?\nAnswer: 6137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 2, s: 1, d: 2, q: 13, l: 1}. Give prob of sequence lsd.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*((sqrt(24)\/sqrt(8))**2*4 + sqrt(3) + sqrt(6)\/(sqrt(2)*4)).\nAnswer: -144 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35\/19 or -4.14329?\nAnswer: -4.14329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2440 + -2104034?\nAnswer: -2101044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 12965 - 1816 = -292*a + 99 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5612\/(-549))\/(-23) + (53\/(-18) - 12\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/((-44)\/(-33)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440 + 8*a + 220 - 325*a + 220.\nAnswer: -317*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 + 92 + 2*x**2 - 91 - 2*x**4 - 2*x**3 in the form s*x**3 + t + z*x**4 + k*x + d*x**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g - 1. Let i = g + 0. Let l(a) = -a**3 + 2*a**2 + 2*a. Let h be l(2). Solve 12 = h*w - w - p, -i*w - p = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 320\/(-840) + (-2)\/7. Put 1, s, -1.2, -13 in ascending order.\nAnswer: -13, -1.2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjujuujuuuutuujuuufu. What is prob of sequence ufut?\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 8. Let j be a(-10). Suppose -4*n - 7 = -19. Put 1, n, j in descending order.\nAnswer: n, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 785353866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16144 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(320)*-3.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 16, -14 - 2 = -2*s + 5*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44945.95 minutes to nanoseconds.\nAnswer: 2696757000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:54 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3069962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7603*z - 2. Let q be x(1). Suppose -y = -4*k + q, -312 = -5*k + y + 9189. What is k rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose 0 = 3*r + 5*d + 6, -i*r + 4*d - 4 = -2*r. What is the units digit of ((44\/2)\/(-1))\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5737*l**2 + 74548*l**2 - 9898*l**2 + 92326*l**2.\nAnswer: 151239*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33*1201.07.\nAnswer: 396.3531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**9\/12096 + z**7\/3360 - 77*z**3\/6 + 7*z**2 + 1. Let u(o) be the first derivative of j(o). Factor u(k).\nAnswer: -k**3*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 47*h - 3 + 13 - h**3 - 44*h. Suppose w(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14677 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7393*f**3 + 18*f**2 + 16*f + 27. Let p be r(18). Let c = -73009829 - p. Round c to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 19*y + 33. Let z(p) = 39*p + 65. What is -5*s(w) + 2*z(w)?\nAnswer: -17*w - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7597, -2080, 7113, 19982, 36527?\nAnswer: 56748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2\/3 (c) 1.34 (d) -2 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-3)\/6 + -5. Let w = r + 5. Let i be 1 + 1*132 + w. What is the highest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14065788 to the power of 1\/2, to the nearest integer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Let n = -1 + 25. Let u = -25 + n. What is the closest to u in 1, o, -3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 2\/15*p**5 + 11\/60*p**6 - 1\/3*p**4 + 3*p**2 + 0 - 2\/35*p**7 - 3\/56*p**8 + 0*p**3 + 0*p. Factor g(s).\nAnswer: -2*s*(s + 1)**2*(3*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-571)\/3 - 1\/(-3). Let j = z + 275. Let g = j - 60. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + 3 + sqrt(228)\/(sqrt(12)*-2 - sqrt(12)) - -4*sqrt(190)\/(sqrt(90) + sqrt(10))*2).\nAnswer: 5 + 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 177*n + 174.\nAnswer: 3*(n + 1)*(n + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5668401 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 26*d - 15*d - 12*d. Let y(q) be the first derivative of 7*q**2\/2 + 243. What is -40*x(f) - 5*y(f)?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, p: 3}. What is prob of sequence ppgp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 308\/11*((-2)\/6)\/(4\/6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 3*s - 9, -5*q + 4*s + 2 = 14 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.5 in 137, -10, 200, -0.3, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + 95. Suppose 2*a - q = -3*a. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0742 and -0.4?\nAnswer: 0.4742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -67. Suppose z = -4*d + k + 3821, -d - d + k + 1911 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 8 = 4*h + 4*c, 19 = -h + 5*c. Solve -h*n = -n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*l - 4671 + 605 = 74*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 12 + 8)*(-14 - 56 + 11)*(3 - 3 + 2*r) + 0*r + 2*r + 0*r to i + v*r and give v.\nAnswer: -2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 - 15*q**2\/2 - 12*q + 72.\nAnswer: 3*(q - 4)**2*(q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - ((5*sqrt(65) - sqrt(65))*-1 - sqrt(65) - sqrt(65))) + sqrt(65)*-1*-3)\/((sqrt(90)\/sqrt(2)*-3)\/(sqrt(225) - sqrt(225)*-3)).\nAnswer: -200*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23815 or -32\/3?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10724 = 303*w - 296*w. Is w a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -524310 + -5?\nAnswer: -524315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)*c*c*c)**8\/(c*c**(-1))**(-1\/66) assuming c is positive.\nAnswer: c**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y - 750 + 8*y + 851 + 5*y - 7*y.\nAnswer: -y + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.09 and 3\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 148019803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6, -4*y + 116 = -12*h + 16*h. Calculate the remainder when (-302)\/(-6) - 4\/(-6) is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2\/31)*w))\/w*w*w*w*w)**(-42\/13)\/(w**(-1)\/(w*w**5)) assuming w is positive.\nAnswer: w**(-1169\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-9) - (-56)\/16*219\/189. Let 6 - 3\/2*d**2 - z*d = 0. Calculate d.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 7*t + 1. Let g(k) = k**2 + 5*k - 30. Let y be g(-9). Calculate j(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -1 + 0 + 119. Let c = 248 - v. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 3, z: 5}. What is prob of picking 1 g, 1 z, and 1 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z + 3*z**2 - 10*z)*(0 - 2 + 4) - 11 - 2*z**2 + 11.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(20)\/(sqrt(20)\/sqrt(2)) + sqrt(2) + (sqrt(2) + 1)*2 - ((sqrt(128) + -1 + sqrt(128))*-4 + sqrt(128))**2.\nAnswer: -6286 + 453*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 3. Suppose -2*s - k = -3*c, -2*s - 5 = -5*c + 5. Solve -4*r = v - 17, 0 = -2*v - 2*r - s*r + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 0, -2, -42.\nAnswer: -42, -2, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*u - 28, -2*b + 5*u = -0*b + 12. Suppose 9*f - b*f = 4*g - 45, 2*g = -f + 19. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvv when three letters picked without replacement from zdzzyvjzjvjvj.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + ea2?\nAnswer: ea1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/198718784 and -49\/129712?\nAnswer: 198718784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4632 and 36670?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(171) - sqrt(171))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-470) - (-7128)\/(-376)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 19152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 1607*q - 69445. Determine z(42).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 15 (b) -4 (c) -2 (d) 19 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 740 - 738. Solve -w + 10 = -5*i, 3*i - 5*i - b = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4455055524 + 30?\nAnswer: 4455055554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*o + 2. Suppose 4*t - 6*t = o. Is -1\/3 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103a5 (base 11) to base 10.\nAnswer: -15119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 6*k**2 + 3*k + 6. Let q be d(-6). Let o be 1\/2*-1*q. What is the greatest common divisor of 18 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -815*a**3 - 44009*a**2 + 53*a - 41. Determine n(-54).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100210212201 - -11002?\nAnswer: 100211000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16886781.\nAnswer: 3, 1876309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*t + 22*t + 159*t - 3.\nAnswer: 262*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 13 = 2*n, 4*n + 243 = -7*q + 214 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 4 = 5*c, 0 = 5*v - c - 22. Does 5 divide (v\/9)\/(18\/81) - -35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.6 + 1.6. Let q = -5 + 5. Let d be 2\/(3 + 2 + -1). Which is the smallest value? (a) q (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*b - 138*b = -4322 - 5247 - 10150 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/13 + 698*z\/13 = 0?\nAnswer: -349, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/20)\/((-10)\/380). What is the second biggest value in 1, 5\/2, t?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 2.1 (c) 16\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1664)\/4)\/2*293\/(-1172).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a decade in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 149731144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 9*u**2 + 15*u - 5. Let o be h(7). Solve -3*x - 22 = -6*f + o*f, -2*x = 5*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0192997822 to four decimal places.\nAnswer: 0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 255*a**2 + 770*a - 12720.\nAnswer: -5*(a - 53)*(a - 6)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z\/z**1)*z)\/(z**7*z))\/(z\/(z\/(z\/(z**(-2\/11)*z)))*z*(z**7*z)\/z*z) assuming z is positive.\nAnswer: z**(-145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*s*u**3*w**2 + 44*s*u**3*w + 8*s*u**3 - 2*s*u**2*w**2 - s*u*w**2 + 19794*s*u + 2*u**2*w**2 wrt u.\nAnswer: -108*s*w**2 + 264*s*w + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.46567 to 0 dps.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((2\/4)\/(50\/(-10)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047354921 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233186, 466052, 698910, 931754, 1164578, 1397376?\nAnswer: 1630142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 36*c**3 + c**2 - 3*c. Let x be h(1). Suppose x*m - 2644 = 35130. List the prime factors of m.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1305978 by -217663.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - 88 - (6 - 23)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**5\/20 + 5*f**4\/12 + 4*f. Find the third derivative of u(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1640 and -145\/1476.\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z**2 - 262*z + 31. Give h(-24).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*c + 28, 77*c = -5*b + 79*c + 186. Solve -8*s - b = 11*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 7, k: 1, l: 8, f: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 - -1.9. Let p = 450 + -459. Sort 2, 4, p, x in increasing order.\nAnswer: p, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, -182, -6, -2\/9, 4, 5\/2 in descending order.\nAnswer: 4, 5\/2, 0.16, -2\/9, -6, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*l - 28 = 0, m + 3 = 4*l + 10. Suppose 0 = 2*p - m*p - 14802085. Let y = -460417 - p. Round y to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.5, -2, 0.102, 64, 0 in descending order.\nAnswer: 64, 10, 0.102, 0, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:20 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**5 - 5*z**4 + 46*z**2 + 126770*z wrt z.\nAnswer: 20*z**3 - 60*z**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2 - 4. Calculate the remainder when 28*-3*o\/12 is divided by (83 - 90) + 11 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g + 4 - 8 + 4.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -52 + 12. Calculate the remainder when t is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 787 = 4*r - 2496, 5*r - 2122 = q. Suppose 0 = -5*c + r + 825. Let a be 126*c*18\/21. What is a rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104033 divided by -2\nAnswer: 104033\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -415776053*v**6 + 8630*v**2 + 4301*v.\nAnswer: -49893126360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 20331131103?\nAnswer: -20331131030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1872167*d - 1871965*d - 1 + 1.\nAnswer: 202*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4286 + 5?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 299 = l - 2*p, 4*l + 5*p + 259 = 0. Let x = 72 + l. Suppose -x*s + 480 = -8*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8799*b**2 - 8442*b**2 + 26561*b**2 - 8867*b**2 + 0 + 0.\nAnswer: 453*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 7310 (c) 1\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2011, 4199, 6739, 9805, 13571, 18211?\n\"Answer: 29*q**3 + 2*q**2 + 1979*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1\/46499000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -0.1 (c) 0.0473 (d) 1 (e) 18 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 13 - 13)*(-1 + 1 + 4*u) - 5*u**2 - 85*u**2 - 132*u**2 - 2 + 2 + 2*u**2 + (-4 + 4 + u)*(2*u + 0 + 0) + 3 + u**2 - 3.\nAnswer: -205*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/18*54\/9. Suppose p*q - 1472 = -r, -q - 2*r + r = -735. Is 67 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8 and -146*1\/15 - -4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*x**2 - 3786*x.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2705 and 282575120?\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 3. Let b be a(3). Let v(g) = g**2 - g + 42. Let f be v(7). Suppose 0 = f*h - 88*h + 20. Does h = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -529 (b) -7 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62457.\nAnswer: 3, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -32*t**2 - 32*t. Let k(n) = n. Determine j(o) + 32*k(o).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 90. Let k be g(-29). Solve 6*l - k*y - 13 = 4*l, 0 = -5*l - 5*y + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + j + 13 = 0, -12 = -6*j + 2*j. Calculate the lowest common multiple of p and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3245 = 5*a, -9*n + 7*n = 4*a - 2574. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*y**4 + 11*y**3 - 12*y + y**3 + 96*y**4 - 2*y**2 - 48*y**4.\nAnswer: 2*y*(y - 1)*(y + 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 11*v**2 + 10*v + 6. Let n be s(-10). Find the third derivative of -6*x**n - 4*x**6 - 2*x**2 - 2*x**6 wrt x.\nAnswer: -1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 1\/5, 4, -1\/10, -6\/7, -2 in descending order.\nAnswer: 4, 1\/5, -1\/10, -6\/7, -1.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = d + 648. Calculate the remainder when 442 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -357434414\/888121 + -10\/68317. Let h = 402 + a. What is the nearest to h in 1\/4, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 7*t**6\/30 + 5*t**2\/2 + 3*t - 5. Let u(a) be the first derivative of z(a). Differentiate u(y) wrt y.\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.1205525ns to hours.\nAnswer: 0.00000000000197793125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5707*r**5\/5 + 57054*r**4\/5 + 136808*r**3\/5 + 25034*r**2 + 39597*r\/5 - 112\/5 = 0.\nAnswer: -7, -1, 16\/5707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 98. Let q = -38.12 + h. Round q to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3500 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6029228733.\nAnswer: 3, 11, 227, 317, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*z + 5893*z = 249084 for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-3)\/m*m)*m)**(1\/20)*(m*((m**(-24)\/m*m)\/m)\/m*m)\/m**8 assuming m is positive.\nAnswer: m**(-127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268437976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 1. Let h(u) = u - 1. Let r(f) = -3*h(f) + o(f). Let p be r(3). Let w = p - 0. Calculate the lowest common multiple of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*u - 87. Let q(f) = -3 + 0*f - 3*f**2 + 2*f**2 - 2*f. Let v be q(-2). What is the closest to v in 0.3, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5 (c) 2\/9 (d) 195997\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - p - 3. Let z be y(-3). Let w be z\/(-8)*(-16)\/(-2). Let k = w - 10. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4429 (base 14) to base 3\nAnswer: 121011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 18*f**2 + 2. Let h be s(-7). Suppose -h = 5*g - 4*g. Is (-2)\/8 + g\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2056 * 9\nAnswer: -1.8504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 31*k = 17 + 172 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10069 - 6843 + 4465 - 2*t to the form q + c*t and give q.\nAnswer: -12447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -6 + (3 - (1 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 774984.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 9*p + 5 = 4*p, -5*p - 41 = -4*o. Suppose -5*z = -5*h + 5, -o*z + 3*h + 2*h = 5. Which is smaller: 2\/75 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -4*a - 109. Let j be 21\/(-3) + 1 + 0. Let b = j - a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/262280? (a) -1.5 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) 2\/9 (c) 2 (d) 18 (e) 1\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-6 - -11) + -212. Let j = t + 230. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**2 + 526*z**3 + 20*z**2 - 7*z**2.\nAnswer: 526*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 134 - -3?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -8. Let o be (j - (1 + -3))*-1. Suppose -2*p + o*p + 24 = 0. Solve p = y + 4*g, y + 4 = -0*g + 4*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325 (base 6) to base 13.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y - 2*y - y + (1 - 1 + 2*y)*(-1 + 2 - 3) + (-1 + 3 + 0)*(-2*y + 2*y + y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 298.8138 litres?\nAnswer: 298813.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-125)\/20)\/((60\/72)\/((-90)\/27)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236641 - 1183133\/5. Solve 14*d + 2\/5*d**2 - n = 0 for d.\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -6. Let w be (-8)\/(-12) - r\/(-3). Suppose u = -2*h + 3 - 4, -4*h = -3*u - w. Is -3\/7 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*p + 2. Let i = 1\/20 + 1\/5. Suppose 2*a + i*a**3 - 5\/4*a**p - 1 = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 9073?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 4*x**4\/3 - x**2 + 24*x. Let h(j) = -4*j. Give y(h(z)).\nAnswer: -128*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - -2. List the prime factors of x.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 377 - 77. Suppose -3*n - i = -7*n. What is the remainder when 27 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 125?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.3 - -3.7. What is the closest to -1 in 5\/3, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18899 + -434639\/23. Which is smaller: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -205 and 41385.\nAnswer: 41180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*p - 10*p - 14*p)*(-3*p - p - 5*p + (-2*p - p + p)*(2 - 1 + 0) + 3 - 3 - p - p + 4*p - 5*p).\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 319. Suppose j = u - 344. Let z = u - -22. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 + 75 + -86.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8349709 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 0.1837.\nAnswer: 0.3837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57\/5 of a meter?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 + 6546828*p - 13093664 = 0. Calculate p.\nAnswer: -3273416, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 2*y**2 - 21*y - 25. Let q be r(-5). Suppose 0 = x + 2*x - q*m - 56, x = m + 18. What is the remainder when 72 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 + 8 - 3*m**3 - 272*m + 282*m + 13.\nAnswer: -10*m**3 + 10*m + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 5. Determine t(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11547 is divided by 958.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 + 1)*((-564)\/42 - -12). Is -18 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -287*w - 10945. What is d(-38)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7500)\/180)\/((-5145)\/(-882))?\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a microgram in nanograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*h - 3, -4*m - 15 = -3*h - 14. Solve 5*d = m + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -33, 2\/19, 35, 0.1 in ascending order.\nAnswer: -33, 0.1, 2\/19, 6\/11, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**6\/600 + d**5\/25 + 2*d**4\/5 + d**3\/2 + 13*d**2. Let b(m) be the first derivative of g(m). Factor b(a).\nAnswer: 3*(a + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 282 = 862. Let b = -564 + f. Calculate the remainder when 43 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 15. Solve -k*s - s = -25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28710*n**3*t - n**3 - 43*n**2 - 12732*n + 51*t**2 wrt t.\nAnswer: 28710*n**3 + 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2652688023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three tenths of a litre?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 9) to base 11\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + (112 - 38) + 51.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -237\/22, 10, 1, 0.8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9816923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 42009*l**3 - 589714992*l**2 - 2786685057792*l - 286148832399360.\nAnswer: -(l + 105)*(l + 13968)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwew. Give prob of sequence ew.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (5 + -6)\/((-1)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 - 50 + 55)*((2*j + 2 - 2)*(4 - 1 - 1) - j + 4*j - j + 19 + 8 - 2*j - 14) to t*j + u and give u.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -4. What is the second derivative of -9*y**2 - 8*y + y**t + y**2 wrt y?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -152*j**2*n**2 + 297485*j*n - 2471*n**2 + 36473 wrt j?\nAnswer: -304*j*n**2 + 297485*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6358 is divided by 2058?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-105) - (-2780)\/84. Let t = 35 + -24. Calculate the greatest common factor of t and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26729, -27233, -28603, -31271, -35669, -42229, -51383?\nAnswer: -63563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**5 - 5*s**4 - s**3 + 4*s**2 - s + 1. Let u(h) = h**5 + h**4 - h**3 + h - 1. Let d(z) = f(z) + u(z). Determine n so that d(n) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320\/7 - 46. Let f = -231.68 - -232. Let z = -0.52 + f. Which is the closest to z? (a) 2\/3 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtttnctttmcmtcnrtmt. Give prob of picking 1 t and 1 c.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260615 and 2585?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 4. Let g = -4 + u. Let d = -7 - g. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14616976?\nAnswer: 2, 11, 53, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71550 greater than 71556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - u - 36. Let x(z) = 3199*z**2 + 5*z. Let y be x(5). Suppose y = -5*l + u*l. Round l to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 p when three letters picked without replacement from {v: 1, u: 8, o: 1, h: 6, x: 2, p: 2}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -7. Suppose -i = -0*i - 2. Suppose -64 = i*o - t*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 3 + 4*x + 0*x**2 + 6 - 1. Let q be s(-2). Let i = 11 + -6. Which is the closest to q? (a) -0.2 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -19. Let m be (-25)\/8*1088\/160. Let v = m - g. Which is the second biggest value? (a) -3 (b) v (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 6, b: 2, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2 + (-3371845606)\/15958. Let i = 211295 + y. Let w = -486737\/71811 + i. Calculate the common denominator of w and -64\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 4. Let v be 10\/(-4)*(0 - -2). Let y be v\/(-15)*(-12)\/10. Which is smaller: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 - -124 - (1 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**29*h\/h**(-13)*h\/(h\/h**(-7\/3))*h*h**(-30)*h assuming h is positive.\nAnswer: h**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 407 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -90501 (base 15) to base 6\nAnswer: -13442331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose 4*n = 5*d - 46, p*n - 4*n - d = 16. Let y(j) = -j**3 - 9*j**2 - j + 7. Does 8 divide y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -243*g**3 - 282*g + 7. Let l(v) = 122*v**3 + 140*v - 3. Let i(h) = 7*l(h) + 3*z(h). What is the second derivative of i(s) wrt s?\nAnswer: 750*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4985185 divided by -6.\nAnswer: -4985185\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((-16)\/(-10) + -2). Let q(m) = -m**3 + 12*m**2 - 2*m + 24. Suppose 4*a - 8*a = -48. Let n be q(a). Solve n*h + 2*h = j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 29*p**3 - 7*p**2 + 3*p - 78. Let k(j) = -29*j**3 + 6*j**2 - 3*j + 79. Let b(x) = 6*d(x) + 7*k(x). Differentiate b(w) with respect to w.\nAnswer: -87*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66388 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235189.6ml to litres.\nAnswer: 235.1896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 + 4*p + 16. Let u(r) = r**3 + 9*r**2 - 7*r + 14. Let g be u(-10). Let f(d) = 1. Let l(n) = g*f(n) + b(n). What is i in l(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4672 - -5172. What is the highest common divisor of 160 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 3*v**2 + 2*v - 1. Let y(w) = -3*w - 3. Let q be y(-2). Let a be s(q). What is the third derivative of a*o**4 - 5*o**4 - 2*o**2 + o**4 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2042*i + 26574. Calculate o(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 445980 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/20 + 5*k**4\/12 - 7*k**3\/6 + k**2 + 2*k. Let b = 25 + -31. Give u(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000564 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/2 + 4761*r**3\/2 + 6809997*r**2\/2 + 1525348115*r\/2 - 1024563000561.\nAnswer: (r - 402)*(r + 1721)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -7, -41, -99, -187, -311?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033365 less than or equal to 5033342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -13 (b) -11\/20 (c) 0.16 (d) -1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 4. Let d(p) = 47851*p + 2. Calculate m(d(i)).\nAnswer: -95702*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -694726.79 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2004980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 12. Let m = 0 + l. Which is the second biggest value? (a) 0.4 (b) m (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48115583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. Suppose -j = -b*j + 24. Suppose 4*r - j - 4 = 0. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 11.6. Let w = b + 0.8. Let q = -1 - -3. Sort q, -2, w in descending order.\nAnswer: q, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(3\/4)\/(y**(-1\/11)\/(y**(-2)*y*y))*(y*y**(1\/4))**(12\/13)\/(y**(-2\/9)*y**(-1)*y) assuming y is positive.\nAnswer: y**(22741\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4692 + 0.0692. Let o(i) = i**3 - 8*i**2 - 20*i + 9. Let h be o(10). Which is the nearest to 0? (a) u (b) 8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33112230 (base 4) in base 3?\nAnswer: -10012021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -0*l - 3*l. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 9. Suppose -y = -f*y + 27. Suppose t = 1 + 5. Calculate the highest common divisor of y and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9359 from -293.73746.\nAnswer: -9652.73746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 6 + (26 - (6 + -12)) + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3487 is divided by 1148.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2. Let q(t) be the third derivative of 0*t**3 + 0*t + 0*t**4 + 0 + 16*t**2 + 1\/30*t**5. Give j(q(o)).\nAnswer: 28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (-24 + (2 - 1))) + (0 + 3 - -8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 2. Let n = -17 - l. Suppose y - n = -y. Solve y*a = a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z - 90. What is the hundreds digit of f(-29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 450 - 2*j**2 + 232 - 141 - 176 + j**3 + j**3 in the form c + k*j**3 + q*j + i*j**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29930314 to the power of 1\/2, to the nearest integer?\nAnswer: 5471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k, -2*r - 446*k + 3480 = -441*k. Does 60 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -688*5776.\nAnswer: -3973888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -60\/2303 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-1 + (-44)\/(-52)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20836399 + 6?\nAnswer: 208363a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 17 - 19. List the prime factors of (-220)\/v - 2\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -3*n**5\/5 + 160*n**2. Let o(w) = -6*w**2. Determine o(y(g)).\nAnswer: -7776*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -108678 divided by -6\nAnswer: 18113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42916953.\nAnswer: 3, 19, 752929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8128900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1 (c) 2\/19 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.41 * -55.3.\nAnswer: -188.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30210 divided by 6042\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/759 - (-4)\/46. Factor -2\/5*u**3 + a + 2\/5*u + 2\/5*u**4 - 2\/5*u**2.\nAnswer: 2*u*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5027 - -0.0027. Which is the closest to 1\/3? (a) n (b) 9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a144 - -9?\nAnswer: -2a138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181*j**5 + j**4 + 163*j**3 - 66*j - 191?\nAnswer: 3620*j**3 + 12*j**2 + 978*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 8*a**2 + 2*a + 5. Let p be i(7). Suppose -5*o + 12 = -p. Suppose o = -3*m + 46. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = o - 199. What is the remainder when o is divided by 40 + -14 + 2 - (14 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 590*o + 2977. Determine u(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -296. Let q = x + -260.47. Which is the smallest value? (a) 0.1 (b) -3\/5 (c) -0.2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmuruulmleeuueu. What is prob of sequence mm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/4, 0.8, 3, 0.09, 1\/4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91663 and 1923?\nAnswer: 274989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let l be s(0). Suppose 6*f - 2*f = -v + 10, l = 4*v - f - 108. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*z, -h - 2*h - 3*z = 9. Let p be (-5 - -5) + (h - -1). Let f be p\/(-1 + 4 - 4). Solve 0 = f*d - 8*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)*g**(-5)\/g*g**(-5)*g**1 assuming g is positive.\nAnswer: g**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1711652 by -1711652.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 3905?\nAnswer: -29\/3905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25479935297552 - -0.4?\nAnswer: 25479935297552.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268341?\nAnswer: 3, 23, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1542522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-34) - (3818\/(-83) - -46).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiigriiargrgri. Give prob of sequence rra.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 5\/3)\/((-30)\/135)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 3*l + 4. Let o be y(-5). Let i = o - -6. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7959 divided by -2653?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1400) + sqrt(1400) - sqrt(1400))*-5)\/(sqrt(64)\/(sqrt(800)*1 + sqrt(800) - sqrt(800))).\nAnswer: -500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((108\/(-6))\/(-36))\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*t**6 - 11*t**4 + 715*t**2 wrt t.\nAnswer: 2640*t**3 - 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**5\/30 - c**3 + 11*c**2\/2 + 118. Let v(j) be the third derivative of q(j). Let y(n) = 5*n. Give -3*v(k) + 4*y(k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(21\/6) + (2 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/35 (b) 0.4 (c) 0.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = 23. Suppose c*f - 12*f = 6. Suppose -4*d - 94 = -5*n, -f*n + 0*d - 3*d + 33 = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 7*c - 4*c)*(0*c**3 + c**3 + c**3) + 3*c - 3*c + 2*c**4 + (-2 + 2*c**3 + 2)*(2*c + 1 - 1) - c**4 + 5*c**4 - 3*c**4 + 4*c**4 - 2*c**4 + 0*c**4.\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8280775091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 1.46, 2.687?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k. Let g(j) = -2*j. Let c(a) = -2*a. Let o(v) = 6*c(v) - 4*g(v). Let l(z) = 7*z. Let b(m) = 3*l(m) + 5*o(m). Determine x(b(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, 46088, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + 4. Let d(p) = 4*p + 5. Let o(z) = 4*d(z) - 5*s(z). Let t(q) = 10*q + 1. Let k be 30\/2*(676\/390)\/13 - 3. Give k*t(y) + 4*o(y).\nAnswer: -6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 132206\/(-114) - (-4)\/12. Let x = -1160 - v. Let j = -74\/57 - x. Which is the second biggest value? (a) -4 (b) 13 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*sqrt(175)\/sqrt(5))\/((2*sqrt(20))\/sqrt(4)))**2.\nAnswer: 71\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452b9 (base 12) to base 5.\nAnswer: 10421023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309.031 kilograms to milligrams.\nAnswer: 309031000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = 3*n. Suppose 0 = -5*t + 4*v + 123 - n, 4*t = 4*v + 96. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 p when three letters picked without replacement from cpciccccippppc?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - r - 42 = -13, 4*r = c - 28. Suppose -5*k + 8 + 7 = 0. Suppose 2*a = -k*a + 25. Solve -2*n = -m - 3, -n + 10 = a*m - c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*l**2 - 4*l**2 + 52*l**2 - 5*l**2 to the form w + k*l + f*l**2 and give f.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(1573) - (sqrt(1573) + 0)))**2 + sqrt(325) + -3.\nAnswer: 10 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - 26*f + 25. Let k be s(-13). Suppose -k*m + 9*m = 0. Solve m*j = -5*p + 2*j - 19, -5*p - 11 = 2*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 183159968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 1, c: 3}. What is prob of sequence gqg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58664?\nAnswer: 2, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 + 248*c - 123006. Determine o(124).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18553882 and 3538.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and 441.\nAnswer: -837.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l - 40. Let s be (-8)\/(-20) + (-36)\/l. Let v = s + 0. Solve 3*f - v*f = 5*i - 19, 3*i = -2*f + 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 4. Let a(p) = p + 1. Give 2*a(w) - o(w).\nAnswer: w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7604, 15989, 25922, 38177, 53528?\n\"Answer: 129*h**3 + 7482*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*u - 3, 0 = -5*a - 2*u + 1. Let c be a + -1 + 2*3. What is the second derivative of 0*q**c - q**5 + 0*q**4 + 2*q wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -40. Suppose 5*u - 25 = -5*t, -4*t + y = -0*t + 2*u. Let r = -1 + 0.8. What is the nearest to r in t, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20*(21\/15 - 1). Let v be -4*((-182)\/h)\/(-7). Let o = 2 - v. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34670.0205 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.94 + -0.06. Let w = -0.283 + -0.017. What is the closest to o in w, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 76 = -4*z, 5*d - 293 = 86*z + 14*z + 1322 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 35314*z\/5 + 2326368\/5.\nAnswer: (z - 35248)*(z - 66)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**3 + 4*u**2 + 2*u. Let t be m(-2). Let s = -1 - t. Let d(n) = -32*n + 5. Let a be d(-4). Calculate the highest common factor of a and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -859, -1707, -2559, -3415, -4275?\nAnswer: -5139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:01 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 - -111. Suppose -4*t + 8*t + 4*z = 232, -3*t + z + 158 = r. Calculate the smallest common multiple of 18 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1250, -7789, -25502, -59975, -116794, -201545?\n\"Answer: -931*k**3 - k**2 - 19*k - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 20\/13*z**2 - 2\/13*z**3 - 224\/13 + 206\/13*z = 0.\nAnswer: -7, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -86 - -6 - (-622 - -636).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1067.\nAnswer: -213.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhahhaahhhhhhhhh. Give prob of picking 2 h.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.4 - -12. What is the third biggest value in 0.1, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2706*v - 2722. Calculate u(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2849, -11024, -24657, -43748, -68297, -98304, -133769?\n\"Answer: -2729*v**2 + 12*v - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2777, 16139, 52437, 123149, 239753, 413727, 656549?\nAnswer: 979697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -453 + 1363\/3. What is the fourth biggest value in -5, o, -0.1, -0.35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1803471.\nAnswer: 3, 71, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 9\/11, 5\/11, -0.5?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/5 and -18\/7825.\nAnswer: 7825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3 minus 512311515744?\nAnswer: -512311515738.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 882358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 19*p + 39. Let s be ((-684)\/(-19))\/((-3)\/(-32)). Suppose 0 = 15*m - 39*m + s. Calculate i(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389863?\nAnswer: 197, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -11 + 5. Let x(i) be the first derivative of -5*i**4\/4 - 2*i**3\/3 + i**2\/2 + i + 12. Is 31 a factor of x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2033 - -101332103?\nAnswer: 102000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(114)*1*-5 - sqrt(114) - sqrt(114))\/(sqrt(36)\/(sqrt(6)*-1)) - (sqrt(304)*-3 - sqrt(1900)*2)).\nAnswer: 3 + 39*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/18 - (-1)\/(-3). Suppose -3*f + 14 - 23 = 0. Let k be (d + f\/(-3))\/2. Solve k*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 17*s**2 - 10*s + 13. Is m(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m + 2. Let k(o) = 898*o**2 - 6*o + 5. What is k(x) - 2*y(x)?\nAnswer: 898*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1039 + 79*o + 1039. Let j(s) = 6*s**2. Give h(j(d)).\nAnswer: 474*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518099491?\nAnswer: 7, 13, 813343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(168)\/(sqrt(4) + (sqrt(4) - (sqrt(4) - sqrt(100)))))\/(1*sqrt(96)))**2.\nAnswer: 7\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 0*a**4 + 0*a**5 + 9\/7*a**7 + 0*a + 0*a**2 - 8 + 0*a**6 + 14\/3*a**3. What is the third derivative of j(c) wrt c?\nAnswer: 1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 28 + 14 = 0. What is the common denominator of (q\/3)\/((-133)\/(-42)) and 79\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pipvpvbbppbbrpvbrbbv. Give prob of sequence ppbb.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2 - 4 + 2*l - 7. Let y = -732 + 741. Let w be n(y). Solve -5*c - 4*t - 29 = 0, 2*c + 0 = -w*t - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -13. Let t be (5\/(q + 2))\/((-2)\/(-6)). Suppose 1 = -o, o + 11 = t*j - 4*o. Solve -2*m - 3*d + 16 = 0, 2*d = j*m - 4*m + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-3)\/6)\/(10*(-8)\/(-1600))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2818112.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1752 + -1750. Solve -2*c - m + 7 = 0, 2 - 8 = a*m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, w: 5}. What is prob of sequence mmwm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Let x(a) = 18*a - 5. Let r(m) = 2*w(m) + x(m). Let f be r(-5). Calculate the remainder when ((-4)\/(-5))\/((-6)\/f) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0152515 to 4 dps.\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38119 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 7. Let l(m) = -3*m - 3. Let r(o) = 5*l(o) - 2*s(o). Suppose -3*z + 0*z + 5*x = -16, -2*z - 11 = x. What is r(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4709 divided by -30\nAnswer: 4709\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3536 by -442.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -5*o**3\/3 - 30*o + 1. Let r(i) = 2*i - 5*i + 10*i. Give h(r(y)).\nAnswer: -70*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*u - 2345 + 643 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130179 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**5 + 869*s**4 + 15299*s**3 - 16169*s**2 = 0?\nAnswer: -851, -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 19 + -16 + -5 - -63) + -2\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -646*b**3 + 153*b. Let p(y) = -17*y**3 + 4*y. Give 4*j(c) - 153*p(c).\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 11*k**2 + 11*k + 10. Let a be q(-10). Suppose 0 = -2*w - a*w - 6. What are the prime factors of w + -4*(-3)\/(-12)*-94?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*i + 729 - 729)*(1 - 3 + 14).\nAnswer: -1380*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5995, 5990, 5983, 5974, 5963?\nAnswer: 5950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 300\/(-276) + 134\/(-46).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -14*z**4 - 66*z**3 + 34*z**2 + 66*z - 20 = 0.\nAnswer: -5, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**4 - l**4 - 4*l**4 + (-6*l**2 + 4*l**2 + 4*l**2)*(0 + 0 + 2*l**2) + 2*l**4 - 3*l**4 + 0*l**4 + l - l + 2*l**4)*(-4 + 9*l + 4).\nAnswer: 54*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/17)*k*k**(-5)\/k*k)\/(k**7\/(k**(-1\/11)*k)) assuming k is positive.\nAnswer: k**(-1865\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -322110?\nAnswer: -322102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-5 - 31 - -4))*(-2288600)\/(-6). Round z to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -15*r. Suppose 2*h - 5*g = 38, -2*h = 2*h + 3*g - 24. Let u(m) = -10 + 5 + 5 + 26*m - h*m. Determine d(u(v)).\nAnswer: -255*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8189957435 to the power of 1\/2, to the nearest integer?\nAnswer: 90498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4916*j*y**2 - j*y + 79*j - 2*y**2 + 2*y wrt y?\nAnswer: 9832*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243239335 to the power of 1\/2, to the nearest integer?\nAnswer: 56949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8415 and 11273.\nAnswer: 94862295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4390 = 84*d - 1826. Which is the closest to -2? (a) 6 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(-6) + 13\/78 + 8. Suppose -4*g + 495 = -4*n + k*n, -4*n - 2*g = -1924. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -528 (base 13) to base 4.\nAnswer: -31233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*v + 29*v + 3000. Calculate the least common multiple of v and 33.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101121 (base 3) to base 13\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 60*i + 649. Give b(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*1\/1 - 1. Let k(h) = -h**3 + 5*h**2 - 3*h - 4. Let u be k(3). Suppose -11*c + 58 - 14 = 0. Solve -m*r + u*r = c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 342 = 4*s + 201 + 179, -20 = 2*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 1615 - 374. List the prime factors of w.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9473 + 13448. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9300 = 152*i + 11124 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 4:59 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3651, 7311, 10971, 14631?\nAnswer: 18291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-14 - -1) + (-8 - -10) + 2606 and 12?\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**8\/1680 - 7*j**4\/24 + 8*j**3\/3 + 8. Let x(n) be the third derivative of b(n). What is the first derivative of x(g) wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001743659 rounded to five dps?\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54525?\nAnswer: 3, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -40. Suppose 3*c - 12 = 0, 2*c + y = 2*u + 3*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-87)\/(-12) - (-1)\/(-4). Let k = m + -4. Let p(u) = -2*u + 2*u**2 + 3 + k*u - 4*u**3 + 3*u**3 - 4. Determine p(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 2*a**2 + 1. Let o be p(-2). Suppose o = 3*g - 2*g. Let t = 1831\/4305 - -2\/615. Is g != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 15*h**2 - 8*h - 1. Let m be g(15). Let t = m - -122. Solve b - 2*o + t = 0, -o - 4 = -4*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7986817 by 5.\nAnswer: -7986817\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (14 - 7 - 6) - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 5*y**2 - 3*y + 1. Let i = -215 - -227. Suppose 3*k = 4*d - 28, -4*k + i = -2*d + 36. Give s(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 6:18 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 20 = -2*o, 5*b + 4*o = 1926 - 1969 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 17\/3, -33, 2\/15, 0.1, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/99 + 2\/18 + 587678\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, 1 q, and 1 g when four letters picked without replacement from jajzgjjgaqjjgz?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 5. Let k = c - -2. Suppose -5*l + 5 + 25 = k. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o - o - 13*o**2 + 6*o**2 + 8*o**2. Calculate w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) -227 (b) 4.3 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*p. Suppose p = -5*l - y + 17, 0 = -l + 2*y - 0*y + 10. Let g(u) = u**3 - 2*u**2 + 2*u - 2. Let k(w) = w**2 - w + 1. Determine l*k(z) + 2*g(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:09 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10511234 to the power of 1\/2, to the nearest integer?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*i**2 + 133*i**2 - 270*i**2 + 37*i - 37*i.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.2. Let t = -0.3 + 0.3. Let p = 1 - t. Which is bigger: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 80*q - 1622. Let i(h) = h**2 + 9*h - 10. Let m be i(-10). What is the remainder when t(21) is divided by 21 + m*(-1)\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15672046*0.2.\nAnswer: 3134409.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1008 and 16?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 8*z**2 - 9*z + 23. Let u be f(11). Let d = 490 - u. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - 5*x + 2*x)*(-6*x**3 + 3*x**3 + 2*x**3)*(-106 - 6 + 35) as l*x**2 + v*x**3 + o*x**4 + s + t*x and give o.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -971 - -984 - (128\/(-10))\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 1\/6 (c) 2\/5 (d) 84\/125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 2*y - 1\/6*y**3 + 0 + y**2. Let a(s) = s**3 - s**2 - 3. Let p be a(0). Calculate j(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345617 (base 8) to base 3\nAnswer: 12222101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 2*u**2 - 2*u**2. Let h(b) = 13*b. What is y(h(j))?\nAnswer: 169*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 72078050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - 3*s**2)*(11*s + 0*s + 0*s) + (-3*s + 2*s + 0*s)*(-5*s**2 + 9*s**2 - s**2).\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -877*p**2. Let t(u) = -126*u. Determine t(q(n)).\nAnswer: 110502*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:05 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (-3*(2 + sqrt(275)) + sqrt(275) - (-4 + sqrt(275)*3 - sqrt(275))**2)).\nAnswer: -210*sqrt(11) + 3381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5788 + -5787.90018. Let p = -0.1 + r. Round p to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8837)\/1767 - 70\/(-126)*9. Is q at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 2770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 + 0.4?\nAnswer: 576.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11218*u**2*z**3 - 9*u**2*z - 7*u*z + 13*u - 1 wrt z?\nAnswer: 67308*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/8 - -61\/56. Suppose -35*s + 2*s + 99 = 0. Suppose 4*h = 3*i + h - 12, s*h = -3*i - 12. Is i < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 8:53 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**5\/10 - 5*m**3\/3 + 6*m + 5. Let w(r) be the first derivative of u(r). Find the second derivative of w(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o - 5. Let s be u(-4). Let l be (-46)\/(-69)*(-66)\/(-4). Let y = l - s. Solve y = 3*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 117*c**2 + 144*c - 3585. What is b(116)?\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/313, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -642?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 - -106. Let w be (-154 - p\/(-4))\/(-2). Suppose -3*u + w = 18. Calculate the highest common divisor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -26*w - 49. Let z be i(-5). Let v = 93 - z. Solve d - 3*k + v = 0, -4*k = 3*d + 2*d - 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = h - 4, q - 5*h - 14 = -10*h. Is q + (1 - 0)*36 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15724\/713349 + 30\/1183. Are 1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203137?\nAnswer: 11, 59, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 32*r + 46. Let u be (-2 - -1) + (-18)\/1. What are the prime factors of d(u)?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45660 or -51595?\nAnswer: -51595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/22 and -31\/16992?\nAnswer: 186912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006312516493 to seven dps.\nAnswer: -0.0063125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45247241 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*q - 5 + 15, 2*q - 52 = -4*f. Let z be ((-3)\/5)\/(2\/(-10)). Suppose z*k - 39 = 54. What is the remainder when k is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 25 = -50. Calculate the remainder when ((-3)\/(-5))\/((-17)\/(-510)) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2115 by -101864.\nAnswer: 2115\/101864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 460004, 459918, 459832?\nAnswer: 459746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*b**3 + 4\/5*b**2 + 0*b.\nAnswer: -4*b**2*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -5*u - 1 - 23, -5*l + 2*u + 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 283.1, 3, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g - 900. Let i(x) = 75. Let f(y) = -h(y) - 12*i(y). Let u(o) = -10*o**2 - 20*o. Give f(u(b)).\nAnswer: 30*b**2 + 60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 518 - -24a?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 825*q**2 + 7343*q - 823. Determine n(-816).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 4*c + 3. Let w(f) = f**3 - f**2 + f + 1. Let x be 7\/(-14) + 14\/4. Let b(z) = x*w(z) - d(z). Find l such that b(l) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfdfdddfo. Give prob of sequence ofoo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20311*p*y + 30676*y wrt p.\nAnswer: 20311*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l - 6. Suppose -18 = -l*g - 2*f, -4*g = -3*f - 0*f - 1. Suppose -m = m - g. Solve m*s = 2*x + 10, -4*x - 5*s - 1 = 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/30 in 1, -0.3, -4, 84\/25, 0.0213, -3?\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/12385, 0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Suppose -g - 3*r = 3*g - 15, -g - 2*r = -5. Let u(x) = g*x - 3*x + 4*x. Let q(i) = 6*h(i) - 2*u(i). Let z(y) = y**2. Give q(z(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 10. Let j(r) be the third derivative of -r**6\/120 - r**5\/60 + r**4\/24 + 59*r**3\/6 + 3*r**2. Calculate the remainder when j(0) is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247392293?\nAnswer: 3, 7, 2311, 25703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 42352?\nAnswer: -42343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 24*w + 25 = 0, 2*i + 4*w - 182 = 0. Let d = i - 327\/4. Which is the second smallest value? (a) 9\/7 (b) -1\/6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4 + g**2 - 4. Let b(z) be the first derivative of -z**2\/2 + 89*z - 20630. Calculate b(l(t)).\nAnswer: -t**2 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -6*d - 11*d. Is 21\/35 + 571*(-568)\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 215, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32169 - 17113199109.\nAnswer: -17113166940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7.83 times 0.1\nAnswer: -0.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -25523 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2.2. Let n(r) = 10*r - 139. Let g be n(14). Which is the nearest to 0.1? (a) u (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4229429?\nAnswer: 4229429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8180 and -37630389.549.\nAnswer: -37638569.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 5*k - 13. Let d be o(-2). Suppose 3145 = 12*z + d*z. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 5, 6, -3, -28, -75?\n\"Answer: -r**3 + 4*r**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11201 + 11196. Which is the third biggest value? (a) 1.4 (b) 5 (c) -0.09 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 368 + 293 = 0. Let s be (-263622)\/99 + (-1)\/3. Let r = s + 2665. Find the common denominator of j and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5033, 4005, 2991, 1997, 1029?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3))**(-37)\/((l\/(l*l**(-3)\/l*l*l)*l)\/((l\/(l\/(l\/(l*l**(-2\/3)))))\/l)))**(1\/20) assuming l is positive.\nAnswer: l**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:24 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 52, 2, -2, 8, 10, 0.027?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25659 and 325376077.\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 36. Let u = 6.8 + -7. Suppose -5*z + 2*z = -3. What is the second biggest value in u, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -128, -3\/5930?\nAnswer: -3\/5930","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -22*f - 2. Suppose -4*r - r = 15. Let y be b(r). Suppose -2*t = 5*a - y, -2*a - 6 = -3*a + 3*t. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32463 is divided by 241?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 60 = 4*x, -3*a + 85 = 2*x - 95. What is the second derivative of j - 3*j**2 - a*j**3 - 51*j**3 + 119*j**3 - 2 wrt j?\nAnswer: 48*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -12*p**3 + 2*p**2 - p + 4. Suppose -3775 + 3909 = 67*y. Give s(y).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030\/56 - 2142\/504?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -473229*k**6 + 29*k**2 + 6110*k?\nAnswer: -56787480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 10*j**2 - 12*j - 21. Give g(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 165*k**2 - 12*k - 34*k - 311 - 166*k**2 - k. What is n(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195473 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 - 876285840?\nAnswer: -876286138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 5*h**3 - 4*h**3 + h**2 - h**2 - 4*h**3 + (-2 - 2 + 3)*(0*h**3 - h**3 + 0*h**3) in the form y*h**2 + v*h**3 + c + l*h and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000074258 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3.4, -62, 53, -0.171?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 - 978*x\/5 - 79032\/5.\nAnswer: -3*(x + 148)*(x + 178)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -119, -240, -359, -476, -591?\n\"Answer: x**2 - 124*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/7 - 40*w**4 + 14338*w**3\/7 + 1344096*w**2\/7 - 2488968*w + 53430624\/7 = 0 for w.\nAnswer: -156, -67, 6, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13*z**2 + 2*z + 8. Let y be r(-2). What is the highest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391909 divided by 55987?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-10)*10\/(-70)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43300?\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2872 - -18.57\nAnswer: 18.2828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 55. Let i be 0 + 1 + -4 - -3 - j. Suppose z + i*t - 94 = 0, 5*t + 49 = 2*z - z. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 7, m: 1, e: 5, i: 1, n: 1}. What is prob of sequence ew?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 11 = -3*y, -k + 12 + 5 = 4*y. Suppose -y*f + 1191 = -13. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 + 52\/13)\/(-1 + 2) - -40)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Suppose 0 = 4*m + 3*n - 9, 2*m + 0*m = -n + 5. Suppose w*r = -8, r = x - m*x + 48. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -25 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 7*s. Let w be n(0). Which is smaller: w or -3\/64?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6 = -4*h. Let g = -6 + h. Suppose -5*b = -v - 271, g = -b - 3*b - v + 224. What are the prime factors of b?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from eeuueeeeeuueee?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-2))\/(-5 - -8))\/(373872\/3936 + -95).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*a = -121*a. Suppose -2 = -2*l, a = 4*p + 2*l - 54 - 276. What is the remainder when p is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -7. Let i(k) = 3*k**2 + 4*k - 8. Let f be i(j). Suppose -d = -l + f, 0 = l - 2*d + 3*d - 52. Calculate the greatest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 28 = -3*b, 0*b = -3*b + 3*i + 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 68*y - 1383 = -65*y, 0 = -2*y - 6. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*s + 3*b, -b = -2*s - 2*s + 22. Suppose -s*f = -5*k, -5*k - 2*f = 3*f - 50. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/6)\/(7\/(-21)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.047 and 2038415944784.\nAnswer: 2038415944783.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 5811.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -114, -0.044, -27\/37, 3?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573175*x**2 + 573184*x**2 - 1146364*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*h + 155*h + 7 = 0. Suppose -h*z = 4*z - 4125. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 12, 4.\nAnswer: -5, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(800))\/(-3*(sqrt(576)*-2 + sqrt(576))) + -2.\nAnswer: -2 + 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 - 2*t**2.\nAnswer: 2*t**2*(t - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3144279.\nAnswer: 3, 79, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719448.\nAnswer: 2, 3, 31, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4129629, 8259262, 12388895, 16518528, 20648161, 24777794?\n\"Answer: 4129633*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749 + 142 = 9*q. Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -524 - -526. Let d = 1.1 + 3.9. Let g = -8 + d. Sort g, -2\/15, l in ascending order.\nAnswer: g, -2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 23 = -5*c, -3*c = -3*z + z - 6. Suppose 2*s - 7*s + 130 = 5*a, -69 = -c*a + 3*s. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5723 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k = 4*v - 933, 4*v - 3*k - 915 = 0. Let h = -157 + v. Suppose 0 = 4*q - h - 18. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 46.9, -2\/7, 1\/796?\nAnswer: 1\/796","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000052218 rounded to 6 dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 0.3. Let s = -5.3 + r. Which is the third biggest value? (a) -0.4 (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 7, 46 in increasing order.\nAnswer: 1, 3, 7, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (568 + 81*i - 568 + (-i + 4 - 4)*(1 - 1 - 2))*(-3*i**2 + 0*i**2 + 2*i**2).\nAnswer: -83*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12011 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14514522 divided by -66?\nAnswer: 219917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a tonne in kilograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.871 - 5.008. Let g = u - 8.7. What is g rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130065 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 16*p**2 + 17*p + 12. Let b be s(17). Suppose r - 2*q + b = -918, 4650 = -5*r - 2*q. Round r to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*z - 2\/3*z**3 - 4*z**2 + 0 = 0. What is z?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g - y - 8, 4 = 2*y. Solve t - 17 = b - g*b, -18 = 2*t - 5*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2. Let j(o) = 3*o**2 + o - 1. Let w be j(-2). Let z = -7 + w. Let p(i) = 2*i**2 - i**2 - 3*i**z - 4*i**2. Determine d(p(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 9, w: 5}. What is prob of sequence rtr?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (17\/51)\/(3*4\/34308) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35814 and 963?\nAnswer: 11496294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 65. Let p = w + 43.00032. Round p to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -187.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-48) + (-27506)\/(-8). Suppose 0 = 3*u - 2*u - v. Suppose -3 = -4*o - 11, u = 2*p - 2*o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 0*u + 44 = 0. Let w be (-3)\/u - 35\/40*-6. Suppose -w*n + 4*n - 4 = 0. Sort -0.1, 2, n in decreasing order.\nAnswer: 2, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 24*t**2 + 20*t + 65. Let v be f(23). Let c = 1\/21 - 26\/105. Let q = -70 + 72. What is the fourth biggest value in v, c, -1\/7, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**7\/231 + h**6\/165 - 3*h**5\/110 - h**4\/66 + 2*h**3\/33 - 829*h - 1. Suppose o(x) = 0. Calculate x.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a = 70*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/13 - 1109244*q\/13 - 153802781442\/13 = 0.\nAnswer: -277311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46, -60, -64, -52, -18, 44, 140, 276?\n\"Answer: c**3 - c**2 - 18*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52794 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-7 - (18 - 57 - -17)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 3346?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/87202 and -97\/507400.\nAnswer: 374968600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l**2 + 5*l - 4. Let n be d(2). Suppose 4*b = -b + 5*j + 5, -4*b + 2*j = -n. Solve b = 2*h + 2 - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791119160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2465073778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = f - 14, -18*z = 3*f - 17*z - 42. Calculate the remainder when 36 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 1}. Give prob of picking 3 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1502 = 5*w - 3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zliw when four letters picked without replacement from {w: 1, i: 3, l: 2, e: 1, u: 3, z: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 7*h**2 + h + 9. Let i be y(-7). Factor 11*u - u**2 + 2*u**i - 13*u.\nAnswer: u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*-1*(-2)\/(-4). Let r(o) = 0*o + 10*o**2 - 12*o**2 + s*o. Let i(l) be the third derivative of l**5\/30 - 2*l**2. Give i(r(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.0453?\nAnswer: -2.9547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 472755044 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8811\/3524 - -1\/3524. Which is the nearest to 0.4? (a) -2\/5 (b) -5 (c) i (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 + 12134*g - 21. Determine i(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = 5*s. Suppose -3*t + 2*w + 7 = 0, -4*t - t + 13 = -2*w. Let -s*f**3 + f**t - 2*f**2 + 2 - f + 3*f = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138889885 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 448*v - 293*v - 276520. Calculate the greatest common divisor of 3791 and v.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 10, -1209, 4 in increasing order.\nAnswer: -1209, -16, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -254448, -254430, -254402, -254364?\n\"Answer: 5*w**2 + 3*w - 254456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 1 - 1 - 2*h**2 + 3*h**2 - 3*h**2 + (-2 - 1 + 1)*(-2*h**2 + 0 + 0))*(-17 + 30 - 14*h - 6).\nAnswer: -42*h**3 + 21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-6\/11))\/g**(-2\/51))\/(g**(-4)*g**(-1\/8)))**(22\/3) assuming g is positive.\nAnswer: g**(30113\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from sisiymrrsijijs.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3024 and 21456.\nAnswer: 450576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/3 + 202*d**2\/3 - 25*d\/3 - 5050\/3 = 0. What is d?\nAnswer: -202, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*b - w + 4, 0 = -5*b + w + 18. Solve -b*i - 7 = 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*f + f - 6, 2*f - 14 = -5*b. Let i = 0 + -3. What is the remainder when (b - -4) + i + 39 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13be36e - 5?\nAnswer: 13be369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5)\/(g**(-2\/19)*g))**(-26) assuming g is positive.\nAnswer: g**(1716\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1129 or 1131?\nAnswer: 1129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*z + 4*x, 1 = -z - 3*x - 2. Calculate the common denominator of (z\/4 - (15 - 17)) + -4 and 37\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/755 in 8, 4, -3\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 3*x**2 - 27*x - 5. Let j be o(7). Suppose 125 = 5*l - 4*i, 45*l = 48*l - j*i - 75. Solve 5*f - 5*r = 15, -5*f - 5*r = -0*f - l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + 0 - (0 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 4*a + 2*a + (1 - 6 + 3)*(2*a + 2*a - 3*a) + 12*a - 91*a - 5*a.\nAnswer: -87*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - (-4 - (0 - 1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.4 - -0.6. Let j = a - 11. What is the smallest value in j, 0.3, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1350, 7374, 23042, 53178, 102606, 176150?\nAnswer: 278634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**8\/336 + g**5\/10 + g**4\/12 + 19*g**3\/3 + 132*g**2. Find the second derivative of q(r) wrt r.\nAnswer: 20*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let s = 2 - v. Suppose s = 4*f + 2*l - 24, -3*f + 2*l = -6*f + 19. Solve -k - f*b + 17 = 0, -4*k + b = -3*b + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**2\/d)*d)**(-5\/2) assuming d is positive.\nAnswer: d**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-3 - 1) - -4. Let o(t) = 91*t**2 - 3*t + 2. Does 16 divide o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1252040590 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303542.\nAnswer: 2, 151771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -292*u - 396*u - 1131*u - 711*u to the form a*u + w and give a.\nAnswer: -2530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -27. Let z be 16\/56 - v\/(-7). What is the highest common divisor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3465.5277 + -3\nAnswer: 3462.5277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**5 - 61*l**5 + 5*l**5 - 18*l**5)*(-2 + 0 + 1).\nAnswer: 70*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 15. Let t(i) = 18 - 3*i + 2*i + 0*i. What are the prime factors of t(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/14)\/(1465 + -1433 - (-454)\/(-14)). What is j in -4 + 2\/3*j**q + 10\/3*j = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 12. What is the remainder when c is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = f + 15, 3*n - 6 = -f + 7. Let q = n + -18. Let m = -9 - q. Solve -m*t - 2 = -7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -17 + (7 - 8) + -23.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 253059 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 896434202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(12)\/sqrt(54) - (sqrt(18)\/(2*sqrt(9)))**2) - ((sqrt(242)*-1*-5)**2 + 5).\nAnswer: -12101\/2 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4. Suppose 3*u + 2*m + v = 8, -u + 2 = m. What is the derivative of -2*c**3 + 3 + 0*c**3 + c**u wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) -0.4 (b) 75 (c) 4 (d) 0.089\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099099593 to 4 decimal places.\nAnswer: -0.0991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skuukxm. What is prob of picking 1 k, 1 s, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 3*z - 12, 20 + 0 = -5*l - 5*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 677502.9l?\nAnswer: 677502900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6125.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 + 0.21. Let d = m + -0.4. Let v = -0.2 - 0.1. Put -1\/2, d, v in ascending order.\nAnswer: -1\/2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -2*w - 8, 0*l = -2*w + 3*l - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + o = -6*u + 105, -3*u = -o - 63. Let r be 7 + 1\/(-3) + (-56)\/u. Let h be 7\/(-10) - (-3)\/6. What is the third biggest value in -2\/47, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i\/(i*i\/(i*i*i*i**26*i*i)))**(-1\/35) assuming i is positive.\nAnswer: i**(-33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -612 by -51.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 1744 = -x - 19*m, -5*x + 8762 = -4*m. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3}. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-48))\/(2\/4). Sort f, -2\/5, -4 in ascending order.\nAnswer: -4, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10563 + 10562. Put -344, -3, p in descending order.\nAnswer: p, -3, -344","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -0.5476?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6573238946 to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(1872) + (sqrt(1872) - (0 + 3 + sqrt(1872))))**2 + sqrt(1872))*2*4)*6.\nAnswer: -2880*sqrt(13) + 90282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 15954384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.264 + -0.736. What is the nearest to 1 in p, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 41*n**5\/5 - 2*n - 28. What is the derivative of y(u) wrt u?\nAnswer: 164*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-4)\/(-8)*14. Suppose v - 20 = a*v. Sort 6, v, -4 in increasing order.\nAnswer: v, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 191 + -10?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*c + 4*c = 59, g - 3 = 4*c. Suppose -2*w + 5*k = 10, -3*w + w - 2 = -3*k. Suppose -w*n = -g - 14. Solve r + n = -0*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/4*(28 + -4 + 0). Calculate the least common multiple of 74 and 2\/(-3 + 130\/z) - -1.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-158)\/(24964\/(-1185)))\/((-9)\/(-30)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*v**4 - 6*v**3 + 47*v - 3 wrt v?\nAnswer: 192*v**2 - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 5. Let r(f) = -9*f - 832. Let j be r(-92). Let z(n) = 3*n + 5. Give j*z(x) + 3*a(x).\nAnswer: -3*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*j**3*p**3 + 106*j**3 - 2*j**2*p**2 + 3*j**2 + 2035*j*p**3 - 53*j wrt p.\nAnswer: 294*j**3 + 12210*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006322 to 4 dps.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*z = -5*h - 1968, -12 = -4*z - 3*h - 145 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from rlceeccceelrrceleuee?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 6*l + 12. What is the least common multiple of g(-6) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, 1 m, and 1 x when four letters picked without replacement from {x: 4, m: 3, u: 3, c: 1, e: 8}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, k: 3}. Give prob of sequence nkk.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1031808*l**3 + 2*l - 4292413.\nAnswer: 6190848*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose t*n = 4*n. Let m(q) = 2*q**2 + 0*q + n*q. Let r(z) = 2*z**2. Give r(m(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*-7*-4. Let f = -2 + 10. Let q = i - f. Solve b - 4*b = q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 388195 divided by 10\nAnswer: 77639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -12.3 (c) 3\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1430 - 1582) + 13 + -9.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (47 + 5 + 8 - 2).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 63. Suppose 5*n = -2*y + 2*n - s, 0 = -4*y + 5*n + 27. Solve -y*g = 2 + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58197 divided by -3063.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4142, 8185, 12230, 16277?\nAnswer: 20326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*m + 39 - 43 = 0, f + m + 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-1)\/(sqrt(968) - (sqrt(968) + sqrt(968) + (sqrt(968) - sqrt(968)*-2 - sqrt(968)) + sqrt(968) + sqrt(968)))*-6.\nAnswer: -6*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 11 + 7. Suppose -w = -h - 2*d, -20 = -3*d - 8. Suppose -24 - 32 = -7*o. Calculate the smallest common multiple of h and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u + 4*h = -18, -12 = 2*u - 4*h. Let o = 22 + u. What are the prime factors of o\/(-6)*(-2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*2\/(-9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b. Let p(q) = 2208*q - 2. Give p(s(n)).\nAnswer: 4416*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 626 - 11?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9809377 = 2*o - 25928359. Suppose o = n - 4940509. Round n to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Let o be 5\/40*(-153)\/(-14382). Is v less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 3*b**2 - b + 1. Let i be y(-3). Find the third derivative of i*v**4 - 4*v**4 - 4*v**5 + 0*v**4 + v**2 wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94253 is divided by 31403.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/64*4)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -489 - -494. What is the second derivative of 2*q**4 + 40*q - 5*q**5 + 8*q**5 + 0*q**4 + 19*q**5 + 16*q**o wrt q?\nAnswer: 760*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654262 is divided by 218027?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8 = -88. Let r(y) = -10*y**2 + 16. Let t(v) = 2*v**2 - 3. Let h(f) = s*t(f) + 3*r(f). Let d(q) = -7*q**2. What is d(h(n))?\nAnswer: -28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 331560 or 331559?\nAnswer: 331559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(7\/(-4) - -1). Let y = 7 + q. Suppose -4*g = -y*g - 19. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-3)*30\/25. Let r be b\/(24\/(-9))*2. Suppose -r*g = -10 - 23. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from kwkwkkbzk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -140*m - 33. Is o(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 16*x**3\/15 + 4*x**2\/5 + x\/5 - 4. Let m(s) = 0. What is s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7894 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -48.999864. What is r rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + z - 9 = 4*z, 4*x = z + 17. Suppose 4*k + 26 = -x*d, -4*k - k - 27 = d. Let y(o) = -o - 5. Calculate y(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 7 - 8*w**3 - 7.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30102100 (base 4) to base 10.\nAnswer: 50320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvo when three letters picked without replacement from {t: 1, v: 2, q: 1, o: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/28)\/(((-12)\/(-21))\/(-1))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2423.\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*i**3 + i**3 - 2*i**3)*(-8 - 2 - 6) - i**3 - 3*i**3 + 2*i**3 as l*i**2 + a*i + h + f*i**3 and give f.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 7*j**2 - 6*j + 1. Let s be g(-5). Let v = s + 23. Suppose 11 = -3*b - x - 3*x, -v*b = -3*x - 27. Solve -b*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 775 = 8*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 3:53 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974420171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-362 - -4130) + (-2 - -1). Sort y, 0, 1.\nAnswer: 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.6668 millennia in centuries?\nAnswer: 2986.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7 = -3*c, 4*l - 4*c + 0 = -12. Let z be l\/2 - (-5)\/90. Is z less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21634 less than or equal to -584156\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 278 = -5*g. What is the remainder when g is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3172 divided by -4\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 884?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 20681504 = l, 4*l - 20157886 = 5*g + 523598. Round g to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 - 729*i**2\/5 + 9072*i - 25920.\nAnswer: 3*(i - 120)**2*(i - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 52. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5 + 4. Suppose -w - 4040 = q*w. What is w rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3103.\nAnswer: 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.33 + -6.67. Let l = a + 24. Let y = -16.999896 + l. What is y rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = f + 4*w, 2*f + 3*w = 7*f - 40. Calculate the greatest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(2\/(-3)))\/(-15*(-22)\/(-880))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 445, 885, 1323, 1759, 2193, 2625, 3055?\n\"Answer: -u**2 + 443*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(52)\/sqrt(4) + 5 - sqrt(637)*1) + -3)**2 + 3 + 4.\nAnswer: -168*sqrt(13) + 1928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1800 and 45.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 + (-70)\/(-21). Let n be k - (-3 - -9) - -44. Let a be n\/63*3\/(-7). What is the nearest to -0.1 in a, -3, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 214980794 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 604213 and 20661.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**20*a)\/a)\/((a*a\/a**16*a)\/a) assuming a is positive.\nAnswer: a**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -17262*s**2 - 3407*s**2 + 1032*s**2 in the form o + n*s + m*s**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 0*d**2 + 20\/3*d**3 - 2\/5*d**5 + 0*d - 3\/2*d**4 + 87. Factor j(z).\nAnswer: -2*z**2*(z - 2)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3611*p. Let d(m) = -262*m. Let w(h) = 69*d(h) + 5*q(h). Let j(t) = 14*t**2 + 7*t. Give w(j(l)).\nAnswer: -322*l**2 - 161*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -169bd (base 14) to base 6.\nAnswer: -1115003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + (sqrt(891) - (2*sqrt(891) + sqrt(891) + -5)).\nAnswer: -9*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 3 = -24*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5348870 to the nearest integer?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -47776?\nAnswer: 1\/23888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/3177 and -151\/895914.\nAnswer: 895914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -19\/4 (b) -1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -4, -118 in ascending order.\nAnswer: -118, -6, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 + -1)*(-10 + -17). Let l = p - -301. Solve n - 5*n + 3*y + l = 0, 4*n + 3*y = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 2. Let d(j) = -20*j + 14. Let m be d(-8). Let x be (-6)\/45 + m\/(-45). Calculate a(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 - 195. Calculate the common denominator of -57\/40 and (x\/((-45)\/(-84)))\/(7 - 9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w + 141. Let z = w - -2. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12\/5 (b) -0.2 (c) -12 (d) -117 (e) 0.1 (f) 0 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 214 - 151. Suppose 0 = 140*d - 144*d + 40. Suppose d*w + 19*w = 261. Calculate the greatest common factor of w and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 1832\nAnswer: 27\/916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:52 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3026176 nanograms to kilograms.\nAnswer: 0.0000000000003026176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341, -345, -353, -365, -381?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + 7*s - 4 + s**2 + 2*s**2 + s**2. Let g be k(-8). Suppose -o - 3*q = -g, -5*o - 6*q + 50 = -q. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 * -11.\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -5 (c) -3\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 43 = -3*r + 124, -r - 51 = -3*o. Suppose -5*g = -4*g - 34. Calculate the remainder when g is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 147061 and 436187?\nAnswer: 289126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from hadhaahhhddiha.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence did when three letters picked without replacement from {i: 3, r: 2, h: 1, q: 3, v: 4, d: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2775 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 17 = -a. Let d = 13 + a. Sort 37, d, -3.\nAnswer: -3, d, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-50)\/4 + (-4)\/(-4). Let y be 13\/(2\/12*-2). Let p = y - f. Solve 4*v + v = 3*a + p, -5*a + 2*v - 33 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/27084459 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 170*z**3 + z - 85*z**3 + 2 in the form p*z + g + u*z**3 + c*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -0.4 (c) 0.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -35 + 31 - (1 + 11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*u - 196, 3*u - 93 = 5*t - 299. Let s be 4\/(-5)*t\/(-16). Solve -s - 2 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571312 (base 8) in base 4?\nAnswer: -233023022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 119522, 119478, 119364, 119144, 118782, 118242, 117488?\n\"Answer: -6*u**3 + u**2 - 5*u + 119532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from uaakajyaak.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 256.35 - 257. Let b = y + 0.75. What is the nearest to b in -0.3, 0.3, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3154 - 3123. What is the nearest to -2 in -0.3, q, 4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*z = -23, 24 = m - 5*z - 1. Solve 4*r - x + m = 0, 13 = -2*r - 2*x - 3*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + ((-91)\/6)\/13)*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 0.8. Suppose h - 4 = -k, -3*k - 18 = 4*h - 30. Let l = -4.9 - -5. What is the nearest to h in -2, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 21 = 8*w + 4*k, 3*k = 4*w - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and -29306?\nAnswer: 849874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -2 (c) -23 (d) -0.5 (e) 359\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b1131 (base 12) to base 3\nAnswer: 102200111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13911 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/147? (a) -0.5 (b) 8.98 (c) -2 (d) -0.3 (e) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -111001?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 17*s**2 + 3*s + 88. Let i be d(-17). Suppose -3*o = -5*g - 1 - i, o + 4*g = -10. What is the highest common factor of 192 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 197481 and 27?\nAnswer: 1777329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427317.21 rounded to the nearest one hundred?\nAnswer: 3427300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2299 (b) -0.5 (c) 0.3 (d) -3\/5 (e) -4 (f) 367\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 3*i = -140. Let u(y) = -y**3 + 5*y**2 - 4*y + 10. What is the remainder when i is divided by u(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadrd. What is prob of sequence ra?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -17*(-1 - -2)*-1. Let a(r) = -2*r - 2. Let l(s) = 6 + s - s + 6*s. Calculate h*a(t) + 6*l(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 428646*m**2 + 428646*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**3\/3 + 6*b**2 - 2*b. Let s be -3*1 + (-44)\/(-4). Let x be k(s). Is -5 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/40 - k**5\/30 + 5*k**4\/24 + k**3\/6 + 10*k**2 - 3. What is the remainder when 65 is divided by g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -30?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 453110 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365, 2682, 8981, 21254, 41493, 71690, 113837, 169926?\nAnswer: 241949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4778181 is divided by 281069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467159060.\nAnswer: 2, 5, 881, 26513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**4\/8 - z**3\/2 + z**2 + 82. Factor r(c).\nAnswer: -c*(c - 1)*(c + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/1505 and 123\/12040.\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 10*c**2 + 2*c + 4. Let s(a) = 10*a**2 - a - 1. Let g be s(-1). What is the units digit of p(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 17899 - 61361 = 0. What are the prime factors of u?\nAnswer: 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403999571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1358 - 1570 = -3*w. Suppose 10*g + 26 = w. What are the prime factors of g?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w + 36 = c, -16 = -c + w. What is the remainder when 57 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2565573864.\nAnswer: 2, 3, 7, 15271273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3 - 2*b**3 - 3*b**3 - 4 - 65*b + 71*b = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 1593920.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192500 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 5:04 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*y - 2636, h = -11*y + 16*y + 641. Is 77 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 3\/8 (c) -0.5 (d) 2 (e) -0.085\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -903*w**5 - 329*w**2 + 14236*w - 14236*w - 326*w**2 wrt w?\nAnswer: -54180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 + 207. Let n be t\/12 + 10\/(-60). Suppose 0 = -n*j - j + 474. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 73.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.92452 months in centuries?\nAnswer: 0.0049371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622317?\nAnswer: 1091, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79402, 79401, 79400?\n\"Answer: -f + 79403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**5 + 0*q**5 - q**5)*(-13 - 10 + 47).\nAnswer: -48*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1641.41 - 564867.\nAnswer: -566508.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 2*j + 2. Let s(i) = i**3 - i**2 + i + 1. Suppose 5*y - 14 = -3*c, -4*c + 0*c - y + 13 = 0. Give c*x(r) - 6*s(r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(24\/8)*-39*4\/(-364)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 25*a**4\/24 + a**3\/6 - 5*a**2. Let n be d(3). What is the tens digit of n + (3 - 3) - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 362, 1\/4, -1\/4 in decreasing order.\nAnswer: 362, 1\/4, -1\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.9039 and 0.0397.\nAnswer: -3.8642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 17804950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 1747317?\nAnswer: -17\/1747317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sks when three letters picked without replacement from kksskkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69481 is divided by 650?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-25)*(0 + 5). Let f be (0 - (-53 - g)) + 3. Suppose -3*k + 18 + f = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfvfvffvfff. Give prob of sequence vvv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8254 is divided by 110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 498234.3 years?\nAnswer: 4982.343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/4*20\/25. What is the third derivative of -2*i**2 - 55*i**r + 61*i + 0*i**6 + 100*i - 99*i**6 wrt i?\nAnswer: -18480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2305 - -2307. Factor 1\/4*b**v - 3\/4*b + 1\/2.\nAnswer: (b - 2)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 + 2 + 4 + 148*k.\nAnswer: 148*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60750 and 1380?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4131021 (base 5) to base 8.\nAnswer: 204064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 9. Let c(t) = 86351*t**2 - 86347*t**2 - 3079*t**3 + 0 - 8. Let s be c(x). Round s to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8472169 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*x - 85 = -188*x + 4*w, x + w + 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*o**2 + 23*o**2 + 23 - 23 + 12*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 6*k = -64. Factor -k*m - 2*m**4 - 6*m**2 - m**3 + 3*m**2 + 5*m**2 + 5*m.\nAnswer: -m*(m - 1)*(m + 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/7287 and 52\/5365661?\nAnswer: 16096983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864 and 256320.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*r + 12*z + 12*z - 9 = 197*r + 23*z, -4*r + 4*z = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3) + 0)*-4 + -1 + 3 + sqrt(243) + (sqrt(243) - (sqrt(243) + 1)).\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22430421 + 1?\nAnswer: -22430420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74913998 divided by 1742186?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 24*i - 52. Suppose -i*o + 421 = -59. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100170 times 22.11\nAnswer: 2214758.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Suppose 27*h = -42*h - 6*h + 188 + 262. Solve -r*v - 15 = -h*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4\/7 + 4572*p**3\/7 - 124802*p**2\/7 + 231300*p\/7 = 0.\nAnswer: -2313, 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681160, -1362295, -2043430, -2724565?\nAnswer: -3405700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76671.1 - -76671.7899949. Let r = -8 + 7.31. Let h = f + r. What is h rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.4, 16.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-3) - (-1)\/(-1). Let g be 6\/(-3) - 2*-1. Suppose 4*m - z = -g. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434525 rounded to the nearest 1000?\nAnswer: -1435000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144619 divided by -944.\nAnswer: 144619\/944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*o - 86 + 3, 120 = 3*q + 3*o. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/28 and 3546\/1890 - (4\/(-6) - -2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*y - 69 = 0, 2 = 3*y - 16. Solve 3*k + 25 = -2*g, -3*g = 4*k - f + 52 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1243 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 3*t**4\/8 + 220*t**2. Let l(z) = 25*z**2. What is l(f(a))?\nAnswer: 2025*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*m**2 - 83*m + 83*m)*((5 + m - 5)*(3 - 8 - 3) + (1 - 3 + 3)*(-2*m - m + 2*m)).\nAnswer: -540*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108398693.\nAnswer: 3, 1867, 197893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.063 and 188.\nAnswer: 188.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1 - 3 - 3) - -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5152962*-0.2\nAnswer: -1030592.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-19) - (-12)\/114. Let l be (3 + -3)*7\/14 - o. What is d in -8\/3*d**3 - 2\/3*d**l + 0*d + 0 = 0?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 6554999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - i**2 - i + 6. Let b be p(0). Let a = -1 + b. Solve 7 + 13 = -a*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2, -1645, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*v - 8, -2*v = -4*t + 11 - 1. Let r be -2*9\/6*-2. Suppose 2*d = l - v, -5*d - 1 = -r. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541 divided by -1941274.\nAnswer: -541\/1941274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1089\/5, -0.6, 1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/11 - 2*n**3\/11 + 8*n**2\/11 + 8*n\/11 = 0. Calculate n.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 592894, 1185781, 1778666, 2371549, 2964430, 3557309?\n\"Answer: -c**2 + 592890*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -809?\nAnswer: -9\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -185 in 2\/3, -0.33, -742?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30949 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 1462 = -2*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34249490?\nAnswer: 2, 5, 11, 311359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 13*g**4\/6 + g**3\/2 - 56*g**2 + 10*g - 8. What is the first derivative of u(n) wrt n?\nAnswer: 52*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let q be 128\/7 - l\/7. Suppose 0 = -7*b + 1185 - 303. What is the greatest common divisor of q and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/20)\/((-2)\/75). Let u = 314 + -294. Calculate the greatest common factor of u and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 51.73. Let i = 0.03 + p. Let s = i + 0.2. What is the nearest to -0.1 in s, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**3 + 23*m**2 + 6*m + 69. What is x(-6)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 2*k**7\/315 - k**6\/15 + 8*k**5\/45 + 75*k**2. What is p in v(p) = 0?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 188, 364, 532, 692?\n\"Answer: -4*c**2 + 188*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*s**2 - 62*s**2 + 218*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44356, 44202, 43808, 43054, 41820, 39986, 37432, 34038?\n\"Answer: -20*j**3 - 14*j + 44390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308119 is divided by 437.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25)\/(-20) - (-5313)\/28 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214540 + 111.\nAnswer: -214429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4 + 16. Let g = -1269 + 1273. Suppose 3*y = -w + 1, -g = -0*w - c*w. Solve y = n - 3*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 9407.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*-1*-8. Let n be (1\/(-4))\/(s\/24). Let d(l) = 2*l + 2. Let f be d(-2). Which is the second biggest value? (a) n (b) f (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3025817 is divided by 72043?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 504, 4, -83, -13 in decreasing order.\nAnswer: 504, 4, -13, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.56162 grams in micrograms?\nAnswer: 44561620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 12. Suppose 3*b + 3 = 0, -b + 14 = 5*g - 5*b. Suppose 16 = -g*u - 2*u. Put 1, p, u in descending order.\nAnswer: 1, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 4\/3*c**3 + c**4 + 0*c - 4*c**2 - 8. Factor j(p).\nAnswer: 4*p*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 5. Give c(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aad (base 15) to base 6.\nAnswer: -15101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 + u. Let i(f) = -5*f**2 - 7*f + 7. Suppose -24*x + 11*x - 13 = 0. Let l(d) = x*i(d) + 2*o(d). Give l(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113962 + 42963637\/377. Let t = 2287 + -4473\/2. What is the common denominator of t and p?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c + 78*c**2 + 205 + 74*c**2 - 154*c**2.\nAnswer: -2*c**2 + 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.204 + -24.504. What is the closest to 118 in 1\/2, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*k + 23640 = -35*k. What are the prime factors of ((-1)\/5)\/(k\/1975 + -1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*((4*(sqrt(637) + sqrt(637) + 0))**2 - sqrt(637)) + 0).\nAnswer: -28*sqrt(13) + 163072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 0.5, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 584*s. Let b(w) = w. Give 438*b(l) - o(l).\nAnswer: -146*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/22707 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -67, 2 in increasing order.\nAnswer: -67, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 6*w**2 - 18*w - 12. Let g be m(-8). What is the remainder when 45 is divided by g\/((-217)\/(-189) - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021 + -1?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-3 - (2 + -9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 344 - 345.65. Let h = 0.35 - r. Which is the closest to h? (a) 2\/5 (b) -1\/12 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -111481.\nAnswer: -8918.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 - 6 = 0. Solve l*h + 8 = -c, -2*h - 8 = 2*h + 3*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 21. Let z(w) = -w**3 - w**2 + 5. Let c be z(0). Suppose -4*d = -0*d + x*v - 392, c*d + 4*v - 487 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68)*5*-6)\/(-6*sqrt(16)\/sqrt(4) - sqrt(196)*-2))**2.\nAnswer: 3825\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10193468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**2*j*j*(j\/((j\/(j*j**(-9\/4)))\/j)*j)\/j*j)\/((j\/(j**(-1\/3)\/j))\/j*j**(-10)\/j))**46 assuming j is positive.\nAnswer: j**(3151\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77884948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(2*d - 2*d - 2*d**2 + (3 + d - 3)*(0*d - d - 2*d) + 3055 - 3055 + 110*d**2).\nAnswer: 105*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4 + 20*c**3 + 66*c**2 + 80*c + 32 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/957, 1827\/20, -1 in increasing order.\nAnswer: -1, 2\/957, 1827\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(8\/5)\/u)\/(u**(-1\/7)*u))\/(u\/u**(-1))**(-37))**16 assuming u is positive.\nAnswer: u**(41296\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvy when three letters picked without replacement from {y: 7, v: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(-1\/3)\/h)*(h\/(h*h**(-4)*h))\/h*(h*h\/(h**1*h))**(-3) assuming h is positive.\nAnswer: h**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13133434 (base 5) in base 7?\nAnswer: 1052310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50120260*f**2 + 344802395*f.\nAnswer: -100240520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 379772289 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/6768 and 115\/144?\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/7 (b) -0.5 (c) -0.4 (d) 0.4 (e) 3\/4 (f) 18657\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a millennium in years?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 take away -33.5?\nAnswer: 111.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 112\/(-96) - 1\/(-6). Put -4, -2\/3, t in decreasing order.\nAnswer: -2\/3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 210 in 6, 1052, -1\/11, -2, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21908 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 56.0000029. Round i to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 3:16 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 20*l**2 + 4. Let w be a(20). Let b(y) = y**3 - 4*y**2 + 6. Determine b(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 57283312*m + 820344458422336.\nAnswer: (m - 28641656)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41933, -167635, -377139, -670445, -1047553, -1508463, -2053175?\n\"Answer: -41901*v**2 + v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 2. Suppose 5*x = -5*j - 5, -3*x - 17 = -7*j + 3*j. Let k be h(x). Which is the closest to -1? (a) -0.5 (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 (base 13) to base 2\nAnswer: 11011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 - -162. Suppose 0 = -g*z + 7*z + 91. Calculate the greatest common divisor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7168*a**3 - 295*a**2 - 3 wrt a.\nAnswer: 43008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 30*p = 4. Let o(s) be the second derivative of -1\/12*s**4 + 0 - s + 0*s**p - 1\/15*s**3. Solve o(t) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 - 28*d**2 + 3*d**2 + 9*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 12*x + 32 = 0. Let q be (x - (-14 - -7))*(3 - 2). Solve 0 = -5*y + q + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - g + 1. Let t be a(1). Let b be t\/4*(-8)\/(-5). Let n = -72 - -1798\/25. Is b less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -6 (b) 5 (c) -0.3 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2169 + 3618. Let v = x - 30479\/21. Calculate the common denominator of v and 19\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**3 - 5*m**2 - 2*m - 7. Let a(h) = -6*h**3 - 6*h**2 - 2*h - 8. Let n(z) = 6*a(z) - 7*t(z). Let o be n(-2). Is 2 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21 from -26628237.\nAnswer: -26628216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2560189 is divided by 853375.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1425, -1424, -1433, -1458, -1505?\nAnswer: -1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - t**2 + 1. Suppose 443 = 76*q + 367. Let c(y) = 5*y**3 - 3*y**2 - 6. Determine q*c(z) + 6*k(z).\nAnswer: -z**3 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*g + 1 + 44*g + 382*g**2 - 84*g to u*g + t + i*g**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -0*t + 14. Suppose -10 = -4*d + t. Let x(r) = 5*r - 2*r + r + d*r. Let o(l) = 2*l. What is x(o(q))?\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*4\/((-48)\/162). Let j(l) = -l**2 - 3*l + 1. Calculate the remainder when t\/144 - (1 + (-30)\/8) is divided by j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:18 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3366)\/(-459))\/((-14)\/105).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 191 = -4*p, -46*p - 2*o = -42*p - 198. Calculate the remainder when 1179 is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 6*l - 11 in the form o*l + v and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -88, -191, -302, -415, -524?\n\"Answer: x**3 - 10*x**2 - 80*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a hour in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440637 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59305.\nAnswer: 5, 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*j = 514*j + 962*j - 101716 for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*o + 13 = 0, 3*o + 9 = w + 5*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by (-3*1)\/((-47)\/705).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2354 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -12. Solve 0 = -x - k*r - 1, -3*x + 0*r = -5*r - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*j - 404 - 716 = 231 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641*h + 203*h + 215*h + 190*h.\nAnswer: -33*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3625 + -3630. Suppose 0 = -0*h - 3*h + 15. Let m = -4 + 7. Put -2, n, h, m in descending order.\nAnswer: h, m, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.6, -0.4, -9.48, 0, -5 in descending order.\nAnswer: 0, -0.4, -0.6, -4, -5, -9.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/(3\/(-3))*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/27, -0.4, 1\/7, 9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (68*n - 626*n - 27 + 29 - 1228*n - 158*n)*(-2*n**2 + n**2 + 3*n**2) as y*n**2 + w*n**3 + a + x*n and give w.\nAnswer: -3888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -21 - (1 + 6 - (29 - (-27 + 55))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 477 - 475. Which is the second smallest value? (a) 0.3 (b) -4 (c) 2\/7 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -12*z**2 + 68*z. Let t(k) be the first derivative of -k**2 - 4529. Calculate t(l(j)).\nAnswer: 24*j**2 - 136*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65406492 divided by 45516.\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-21\/5)\/g)\/(g**(21\/4)\/g))\/(g\/(g\/((g*g\/(g*(g*g**(-3))\/g*g*g))\/g)*g))**(1\/19) assuming g is positive.\nAnswer: g**(-189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*n = -7*n - 3284, 3*n - 4089 = 5*g. Let f = 1305 + g. Suppose -5*b + f = 2*d, 4*b - 601 = 2*d - 223. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6624 and 5499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6364925 a multiple of 925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let m(s) be the first derivative of -6 + 0*s**2 + 0*s**3 - 2\/3*s**4 + 18*s. Let g(i) be the first derivative of m(i). Determine b(g(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w**2 - 2*w - 56. Let b(c) = c**2 - 1. Let s(z) = -6*b(z) + x(z). Is 14 a factor of s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2587 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -423*w**7\/2 + 8333*w**3\/6 - 9506*w. What is the second derivative of b(d) wrt d?\nAnswer: -177660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 7:48 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-10)\/(-250)*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9 - 17*k - 189*k**3 - 186*k**3 - 9*k**2 + 374*k**3. Suppose 0 = -3*j - 20 + 8, -3*y = -5*j - 32. What is the remainder when y is divided by q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 w when three letters picked without replacement from {w: 8, j: 1, b: 4}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.411 - -1.\nAnswer: 7.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -156*j**3 - 2*j**2 + 3*j - 2. Let m(q) = 4*q**3 + 2*q**2 - q + 1. Give b(g) + 2*m(g).\nAnswer: -148*g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/36*3\/10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uddduud. Give prob of sequence dd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-75)\/27 - 2\/9. Let g be 2*(1*2 + (-6)\/(-12)). Suppose 2*s - g*b = -s - 26, -4*s - 2*b = 0. Put y, s, -1 in descending order.\nAnswer: -1, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.45 + 0.25. Let o = -1.07925 + 0.07925. Which is the closest to o? (a) -0.05 (b) w (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 2852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58940*y**2 + 11 + 4 + 58939*y**2 + 11*y + 11 = 0. Calculate y.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 3*r + 3*r)*((-1 + 1 - 2)*(2*r - r - 3*r) - 317*r + 217*r + 311*r).\nAnswer: -430*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10820949*c**3*g + 5221*c**3 + 2*c**2*g + 7*c*g - 71*c + 53 wrt g.\nAnswer: 10820949*c**3 + 2*c**2 + 7*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323308999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339964709?\nAnswer: 7, 29, 1674703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*4*(sqrt(704) - (0 + sqrt(704) + 4)))**2.\nAnswer: 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/9 + 2788*i**4\/3 + 41920*i**3\/3 + 629300*i**2\/9 + 349750*i\/3 = 0.\nAnswer: -5, 0, 4197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 215464 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -22. Let k(d) = -d + 21. Let f(z) = 6*k(z) + 4*y(z). Let r be f(6). Suppose r*a = 17 + 9. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.33 - -27.9. Let r = -21.567719 + s. What is r rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 38. What is p(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 + -100.9999716. What is l rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.099 or -1057\/3?\nAnswer: -1057\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10850 = -5*o, 5*o + 5*k - 6179 - 4711 = 0. Suppose 5*r - 3*q = 10892, -5*r - o = -6*r + 5*q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1039977 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*z - 46 = 168, -4*z = p - 64. Let c = -54 + p. Suppose 5*n + t - 412 = -25, 312 = 4*n + c*t. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*c - 8, 3*c + 24 = -0*u + 3*u. Suppose 12 = 3*m - u. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l + 8 = -4*m, -3*m = -3*l. Let p(a) = -3*a - 8*a - 5*a. What is the lowest common multiple of 8 and p(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92529 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 5 (b) -0.06 (c) 1 (d) -1631.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, 28, 321, 868, 1753, 3060?\nAnswer: 4873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.4 (c) -1 (d) -3\/92\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74218823.\nAnswer: 7, 10602689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 601056 by -1.\nAnswer: -601056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -p, 0 = 12*o + p + 325136 - 325086 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*s - 504 = -135*s. Suppose -k - 4*c + 82 = -0*c, -4*c + 316 = 4*k. Calculate the remainder when k is divided by (s\/(-12) - (-3 + 0))*-12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*3*(-24)\/(-48).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 8*x - 1. Let f be h(-6). Let s = 4 + -2. Suppose f = s*y - 41. Calculate the remainder when y is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -334331?\nAnswer: 334325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -535*x + 312. List the prime factors of o(-2).\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4453949 - 4?\nAnswer: -12.4453949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(3 + sqrt(11) + sqrt(11)) - (sqrt(44) - (-1 + sqrt(44)))**2).\nAnswer: -20*sqrt(11) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 41*j + 18*j - 115*j + 7*j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 26*y**2 + 120*y - 14. What is x(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 47516 = 2*j, r + 4*j - 3198 = 6314. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21057, -42132, -63207, -84282?\n\"Answer: -21075*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)\/(v*v**15))\/(v**4\/v)**21)**(-19\/4) assuming v is positive.\nAnswer: v**(1539\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*k = 499*k - 202 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 3)*(-3*w**2 + 5*w - 5*w) as o*w + u + i*w**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242659460?\nAnswer: 2, 5, 181, 67033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 6. What is the lowest common multiple of w and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l - 6 = 0. Suppose 1 = -s - 3*d + d, l*s = d - 17. Calculate the lowest common multiple of 8 and (-1)\/s - (-352)\/40.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*q - 333*q - 4*s - 24 = 0, q - 2*s - 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-3))\/5*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57142 or -1?\nAnswer: -57142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*h**2 - 3*h**3 - 28*h**2 + 440*h**2 - 80 - 16*h**2 + 6*h**3 wrt h.\nAnswer: 9*h**2 + 856*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 7:07 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -84799601 to the nearest ten thousand.\nAnswer: -84800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*((sqrt(19) + 1)*6*2 + sqrt(171) + -4 + sqrt(152)\/(sqrt(32)\/sqrt(4)))*2.\nAnswer: 67 + 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-294)\/105)\/((-7)\/(-175)*-5). Suppose -3*i = -6 - 0. Solve i*h = -2*v - u, 2*v - 13 = 3*h + v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(49699\/26 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92704885?\nAnswer: 5, 7, 13, 67, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q - 1. Let f(b) = -2*b**2 + 5*b - 7. Let i(z) = f(z) - 3*u(z). Let a be (-2)\/(-24)*549*16\/6. Suppose -38*j = a + 106. What is i(j)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 13*q**2 + 14*q + 1. Let f be j(14). Let c(v) = 12*v**3 + v**2 - v. Determine c(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (0 + 2) - 3 - (-4 - 36)) + -5?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67700?\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50692.\nAnswer: 2, 19, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 = 10*y + 610 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741812630 minus -21?\nAnswer: 2741812651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 116?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1742, 3565, 5482, 7505, 9646, 11917, 14330, 16897?\nAnswer: 19630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, 5.1 in decreasing order.\nAnswer: 5.1, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 3*o - 4)*(0*o**2 + 0*o**2 - 2*o**2).\nAnswer: -6*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.754751 milligrams?\nAnswer: 5754.751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 3052*q**2 + 565020*q + 6589836.\nAnswer: 4*(q - 387)**2*(q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58106135 is divided by 11051.\nAnswer: 11028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -8*w**6\/3 - 13*w**4\/12 - 2*w**3\/3 + w - 42. What is the third derivative of q(x) wrt x?\nAnswer: -1920*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*i*n**4 + 11069*i*n**2 - 14*n**6 wrt n.\nAnswer: -864*i*n - 1680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) 0 (c) 1\/3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 345*k - 172*k + 268*k + (2*k + 2 - 2)*(-2 + 3 + 0) + 3 - k - 3.\nAnswer: 442*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -f + 8, -4*f - 3*s + 6 = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172133 is divided by 755.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16280417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22107698, 44215363, 66323042, 88430741, 110538466, 132646223, 154754018?\nAnswer: 176861857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caaspappjpcjpsplscs. What is prob of picking 1 s, 1 p, and 1 a?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 a when three letters picked without replacement from {a: 2, v: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 - 2 - -5)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -824?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 94 = -2*i, -2*i - 158 = 3*n + 108. Let r(f) = 65*f + 30. Let m be r(2). Let y = m + n. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 = -2*q. Let o = 1.1 - 5.7. Let u = o + 1.6. What is the second biggest value in q, u, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2. Let o(v) = -21*v + 3*v + 7*v. Calculate o(i(a)).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*y**2 + 41743 - 23*y**2 - 41742.\nAnswer: 250*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 7:13 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 22.90647 grams?\nAnswer: 22906470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12)*j**(-1\/16))**(-4\/31) assuming j is positive.\nAnswer: j**(193\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -230?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -103743 at most as big as -104292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 31, 29, 35, 55, 95?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 7:35 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 43180292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, -25, -131, -343, -697, -1229, -1975?\n\"Answer: -6*b**3 + b**2 + 3*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 1. Suppose 0 = -3*c + 92 - 86. What is k(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*r + 81, -2*r + 17 = -q - 40. What is the remainder when 82 is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 51 - (15 - (-1 - (17 - -3) - -23))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -421, -572, -783, -1060, -1409?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 4. Let r be w(-7). Suppose -8*d = -r - 1. Let x = -4 + 10. Solve 4 = -d*a - x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103088 = -1459*g + 773*g - 634*g - 1712*g for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 41. Suppose n - f = u, 4*n - 3*u = -u + 96. What is the greatest common divisor of n and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -20*d**2 + 837*d + 5901. Determine o(-7).\nAnswer: -938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0*l + l - 6*l - 2*l**3 + 7*l**3 - 6*l**2 - 7. Let x(i) = i - 2. Let o be x(-5). Let c(d) = 4*d**3 - 5*d**2 - 4*d - 6. What is o*c(r) + 6*b(r)?\nAnswer: 2*r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30329175 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1230 - -1032?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-8)*(-1 + 82 + -1). Let i = 52 - u. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239 is divided by 354.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -817, -6610, -22345, -52996, -103537, -178942?\nAnswer: -284185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8890015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 71. Let y = 93 - 81. Calculate the smallest common multiple of 1\/(2 - 46\/k) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 4*j**2 - 58*j - 1. Suppose -5*c + 15 = -5*d, -15 = -104*c + 106*c - 5*d. Give v(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*(-9)\/(-1368)*112\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/5 - 624*g**3 + 165297*g**2\/5 - 1771302*g\/5 + 2906424\/5 = 0.\nAnswer: -1091, 2, 12, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/4762 - 28521\/80954. Let h = 5.14 - 0.14. What is the closest to g in -1, h, 5\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 76*r - 331. Let t be d(6). What is the greatest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 52 - 2*s - 25 - 18 - 32 in the form y*s + c and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 1) + 9 - 8) + 6*1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -379*a**2 - 42449*a - 127. What is d(-112)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -128, -662, -1500, -2642?\n\"Answer: -152*m**2 - 78*m + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 - 22\/(-4)*360\/(-495)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 55 = -0*f. Let l(i) = 4*i**2 - 16*i - 1. Let z be l(5). Let v = z - f. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a3e - -2ef?\nAnswer: 1d2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*6)\/(1 + 0). What are the prime factors of (-8)\/w*(-54)\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 292?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1553 - 1547. What is the highest common factor of 816 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8004 and 30842892.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((16 + -20 - 3) + -12) - (9 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 19*w + 870. Let x be p(-42). Calculate the highest common divisor of 432 and x.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 9 = 2552*r - 2557*r, -12 = -4*r - 4*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 2. Let g be l(2). Suppose 2*p + 27616 = 4*u, 5*p + g*u = u - 68988. What is p rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 + 2*x + 8. Let h be r(-4). Let l = -42 - h. Suppose -35*y + 40*y = 130. Calculate the remainder when y is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -164.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 23*z + 1. List the prime factors of k(-28).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 129866 - 80554 = 54*k. Is k at least -3011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/10 + 7*t**2\/2 - 4*t. What is the derivative of d(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113130233130 + 20?\nAnswer: 113130233210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5232749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 649692648 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and 1377.\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1093 in -0.2, -187, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712648 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 + 5. Let d = 0.6 - v. What is the second biggest value in d, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41408 >= 41407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/70*(-12285)\/(-84)*2.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 117*k**2 - 32*k - 4 - 66*k**2 + 4 - 87*k**2 = 0. What is k?\nAnswer: -8\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20319 and -1.28851.\nAnswer: 20317.71149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -71881*u - 575044. Calculate f(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 8) to base 11.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -2.\nAnswer: -7, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1254401446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 - -111. Calculate the lowest common multiple of 84 and o.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1009109 + 332387 = -2*w. Suppose -23*r + 7323012 = -27*r + 5*b, -3*r + 5*b - 5492264 = 0. Let o = r - w. What is o rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 25. Suppose 3*h - 4 - 8 = f. Suppose 2*d + 346 = h*q, -5*q + 3*d + 612 - 178 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 30*m + 152 - 7 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 20*r**2 - 31*r - 727. List the prime factors of d(-28).\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -1.7, 0.1, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111 + 111. Suppose 19*v - 112 - 1104 = q. What is the smallest common multiple of 28 and v?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93421, -93419, -93417, -93415, -93413?\nAnswer: -93411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**3 - 40*r**2 - 45*r = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -24.7417\nAnswer: -98.9668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 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: Which is the closest to 0.2? (a) 4 (b) -3\/7 (c) 3 (d) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l**2. Let n(d) = -3*d**2 - 13*d + 13. Let g be n(-5). Suppose 5*z - 2*z - 9 = -2*b, g*z = -3. Let h(x) = -9*x**2. Calculate b*t(r) + 5*h(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 7*m**2 - 36*m + 61. List the prime factors of r(12).\nAnswer: 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11129, -11127, -11123, -11117, -11109?\n\"Answer: a**2 - a - 11129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.237135 minutes in nanoseconds?\nAnswer: 494228100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*i + 23 = 0, -2*c + 0*c - 4*i - 12 = 0. Suppose 8 = 4*g + 2*y, c*y = -4*g + 8*y + 8. What is the lowest common multiple of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-75)\/(-30))\/(1\/2). Suppose -4*j + 4249 = -k - 3136, -3*j + t*k + 5526 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23894 divided by 26\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-21)*(-6)\/(-10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/(((m*m**1)\/m)\/m*m))\/((m\/(((m\/m**(-1\/4))\/m*m)\/m))\/m**5)*((m\/(m**(1\/3)*m))\/m)**(-9)\/(m**(-1\/4))**(14\/3) assuming m is positive.\nAnswer: m**(269\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -6161566?\nAnswer: -6161564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**7\/105 - 19*v**6\/10 + v**5\/30 + 3613*v**4\/12 + 2*v**2 + 342*v. What is the second derivative of y(u) wrt u?\nAnswer: 24*u**2 - 1368*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001110001 + -1001111100?\nAnswer: -11001011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*v**4 - 14171*i*v**2 + 138*v**6 + 257*v**4 - 2*v**2 + v wrt v.\nAnswer: 24*i*v + 16560*v**3 + 6168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 5*a**3 - 5*a - 1. Is d(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*q - 7*q + q)*(-1 + 2 - 2)*(1 - 2 + 3) to the form z*q + v and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 3050 = -5*t. Suppose -5*c = -0*c - t. Find the common denominator of -65\/2 and c\/16 - 5\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22159289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 22*a**2 + 24*a + 19. Suppose 0 = -q - 13 - 8. Is t(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 831 divide 93317145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4\/7 + 3118*x**3\/7 - 86054*x**2\/7 - 649798*x\/7 + 104676 = 0.\nAnswer: -1586, -7, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7615246 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 460277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 + -10 - -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-855)\/4 + -1)\/(598\/1768). Let j = -635 - u. Which is the second smallest value? (a) 0.5 (b) j (c) 0.4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-8))\/(3\/(-36)). Suppose -2 = -q*p + 16. Calculate the highest common divisor of 24 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2818\/141 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 6 + (-2 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 25 (b) -1\/3 (c) -1\/2 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -106417?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 8. Let v(r) = -5*r**2 - 4*r - 3. Let s be v(-2). Let x = -12 - s. Let j(u) = -2*u - 8. Let w(l) = x*k(l) + 4*j(l). Determine w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1755 is divided by 349.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11. Let d = -23 + y. Let c = d + 35. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2576*l**3 - 1132*l**3 - 8423*l**3.\nAnswer: -12131*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 - 128*t**3 + 2*t + 61*t**3 + t**2 - t + 66*t**3. Suppose 4*u = -0*u - 16. Calculate l(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12600566 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6514725 divided by 2.\nAnswer: -6514725\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let q = c - -0.5. Let w = -0.11 + -0.09. What is the biggest value in w, q, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2678 - 2775 + 22*r**2 + 30*r**2)*(-1 + 0 - 1).\nAnswer: -104*r**2 + 194","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 97\/9 + 6\/27. Suppose -k - 1 = a. Find the common denominator of -75\/2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10783141*m**3 + 4*m**4 + 10783140*m**3 - 7 - 2*m**4 + 41*m**2 to the form z*m**2 + t*m**4 + j*m**3 + d + h*m and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.23021 times -126\nAnswer: -155.00646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-1363596.\nAnswer: 272719.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*z - 195 = -310*z + 154*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 divided by 387.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + u - 4. Let k = 13 - 21. Let m = 5 + k. Is y(m) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (0 - -1) - (-80 - (-13 - -2))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**19\/x)\/x)**(-30)\/(x**24*x**(10\/11)*x) assuming x is positive.\nAnswer: x**(-5895\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/12)\/((-1)\/4). Which is smaller: -7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*0.36406\nAnswer: 7.64526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -790*v + 716*v + 11248. Solve 0 = -31*l + 34 + v for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**3\/4 - 43*r**2 + 891*r\/4 + 531\/2 = 0.\nAnswer: -177, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 447*g - 238. Let y(w) = -223*w + 110. Calculate 6*q(b) + 13*y(b).\nAnswer: -217*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 175.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 494?\nAnswer: 5434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3218?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 258950, 517893, 776836, 1035779?\n\"Answer: 258943*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 52*h**2 + h. Let i(p) = -p - 9. What is v(i(b))?\nAnswer: 52*b**2 + 935*b + 4203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22730 and 34330.\nAnswer: 78032090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1.8\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -365*j + 4442. What is the thousands digit of k(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 3. Let c(j) be the third derivative of j**4\/24 - j**3\/3 + j**2. Suppose 4*z - 2*k + 6 = 0, -12 = -z - 2*k - 16. Give z*y(g) + 3*c(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11692 - -210545\/18. Find the common denominator of 2392\/(-400) + 12\/2 and o.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2832122 - 1595755. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = -18. Solve y - u = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3 - 12092315*p**2 - 24184633*p - 12092317 = 0.\nAnswer: -1, 12092317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.06, -2, -63, -0.6, -5, -1.9?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 + 129. Let x be 5\/2*m\/(130\/8). Solve 2*b + 4 = -x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 32.825. Round q to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iflfiiiflilifl. What is prob of sequence ff?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -4 - (-3 + -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723 - 576 - 2*v**2 - 726 + 2025.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 31 = -3*q. Suppose 5*x = -0*x - d, 4*d = 3*x. Sort q, x, 3 in descending order.\nAnswer: q, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -140*h + 141*h - 45665, 2*h - 91351 = -3*l. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -20) + (-14 + 33 - 18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 - 11*t**2 - 20*t + 8. Calculate the smallest common multiple of s(-4) and 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 + 20 = 5*k - 3*s, k + s = 145. Let i = k - 137. Calculate the remainder when 10 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -5 (c) -2 (d) -0.007 (e) -0.4 (f) -5\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 9400020 = 3*m - 5*l, -m = -4*l - 4700016. Round m to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1004 - 987. What is the remainder when 933 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-407)\/220 - 123\/(-205))\/((-1)\/40)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26c - 1?\nAnswer: 26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167629621 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 740?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, 2\/5, 5 in decreasing order.\nAnswer: 5, 2\/5, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -0.024 (c) -4\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**4 - 3*v**2 + 2*v**3 + 6*v**4 - 4 - v - 6*v**3 to the form o*v**4 + s + y*v + t*v**3 + q*v**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:19 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3617216 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3, -0.3, 14, 660, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.6 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25160566, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -k + 630, 5*o + 5*k - k = 1578. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1177651 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542577 is divided by 271281?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (-1 + 1)) + (9 - 2). Let u be (-3)\/d - 3 - (0 + -4). Solve u + 4 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -26\/37, 59\/37, 3\/2 in increasing order.\nAnswer: -26\/37, 3\/2, 59\/37, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*h + 217, h - 2*k = -3*h + 176. Suppose 117 = 46*f - h*f. Let b be (f\/52)\/((-5)\/(-16)*14). Is 1\/2 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578 divided by -2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7 + 2601*g - 44*g**3 + 26*g**3 + 2*g**2 + 19*g**3.\nAnswer: g**3 + 2*g**2 + 2601*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 - 10*h**4 + 2*h**4 + h**5 - 94 + 7477*h**3 - h - 7477*h**3 wrt h.\nAnswer: 20*h**3 - 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.11167 nanoseconds in seconds?\nAnswer: 0.00000007511167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by ((-1)\/(-3))\/(1266\/(-423) - -3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 193. Let d = -33 + 37. Suppose -d*y + h + 482 = z, 2*y - 671 = -z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100222211210211 (base 3) in base 2?\nAnswer: 10100010000101101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u - 8 = 0. Suppose 752 = -0*n + u*n - 4*k, 4*k = -2*n + 712. Suppose 5*b = -b + n. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(10\/(-4))*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r. Let y(j) = 8*j. Let d(m) be the second derivative of 0 + 7\/6*m**3 + 0*m**2 + 13*m. Let x(s) = -6*d(s) + 5*y(s). Determine x(k(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209375 and 670?\nAnswer: 418750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*h + 36*h - 12*h)*(2 + 4 - 1 + (3 + 2 - 4)*(2 - 1 - 2)).\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*b - 2*b**4 + 18*b + 2)*(-22 - 8 + 133) to the form l*b**4 + u*b**3 + q*b + n + v*b**2 and give l.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59*d**3 + d**2 - 2531*d.\nAnswer: 354*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/220 and 19\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1311288.\nAnswer: -1\/1311288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z + 41 = -87 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 10. What is a(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153*4\/8*(11 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 215c + -3?\nAnswer: 2159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 7 - 6 = 2*b, 0 = b + 2*z + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)*l)**(-34))**(3\/16)*(l**1\/l)**(-1\/18)*(l**0)**(-28) assuming l is positive.\nAnswer: l**(-255\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 1\/3*w**3 + 0*w**2 + 7 + 0*w. Let u(f) = -20*f. Determine a(u(r)).\nAnswer: 400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000 divided by -400?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let h(x) = 2*x + 1. Let t be -2 - ((-3)\/(-6))\/(3\/(-18)). Let a(j) = t*w(j) + h(j). Determine a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 j when three letters picked without replacement from {k: 15, j: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = o - 4*g, -6*o = -2*o + 4*g - 32. Suppose -4*d + o = 4. Solve -j - d*h = 7, 2*j + 2*j + 3*h + 13 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/((w*w**(-3\/5))\/w*w)))\/(w\/w**3))\/(w**6\/w*w**4))\/(w**1\/(((w\/(w\/(w**(-5)\/w)))\/w)\/w))**(-43) assuming w is positive.\nAnswer: w**(1897\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461780, -1847059, -4155866, -7388207, -11544088?\nAnswer: -16623515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28050690 rounded to the nearest one hundred thousand?\nAnswer: -28100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1*(-1)\/4). Suppose -4*o = -d, -d - x*o = 2*d - 80. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112 a factor of 285252144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -75 + 74 + 1*163. Suppose -2042 = -19*z + q. Calculate the greatest common divisor of 8 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92.12 - 0.12. Let n = 1541107321 - 1541107228.9999979. Let w = n - d. What is w rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*z - 208, 5*r + 4*z + 7 + 222 = 0. Is -49 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 178750309 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 26 = 3*j + 32, 3*z - 13 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427394.327603 + 2?\nAnswer: 3427396.327603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 4689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 11 = u, -23*u + 19*u - 3*s = 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -9, 6, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1706679 divided by 7\nAnswer: 1706679\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 21*w**2 - 94*w - 71. Give d(-14).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1105369 times 82?\nAnswer: -9.0640258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(243) + 5) + -2 + sqrt(243) + sqrt(243) + -3)**2.\nAnswer: 1620*sqrt(3) + 8973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.4 - -0.4. Let f = r + 19.00000045. What is f rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 8*c - 10. Let j be i(5). Find the third derivative of 3*v**6 - 6*v**2 - 5*v**6 + j*v**6 + 2*v**2 wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1695\/25 - 1 - (4704\/(-70))\/(-24).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89426?\nAnswer: 2, 61, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2414, -2403, -2392, -2381, -2370, -2359?\n\"Answer: 11*s - 2425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 370383698 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 83 + 2 - (-26 + (35 - -3) + -4)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {s: 2, g: 10}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684906, 684836, 684738, 684606, 684434, 684216, 683946?\nAnswer: 683618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102 - -1472614?\nAnswer: 1472716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/3 + 3656*f**2\/3 - 3658*f\/3 = 0.\nAnswer: -1829, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66001 is divided by 115?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**(-3)*s)*s)**(-11\/3))**(-3\/10) assuming s is positive.\nAnswer: s**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8038 - 1.8. What is m rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*u + 6*z - 14, -5*u + 9 = -z. Suppose -55 = -7*s + u*s. Let v(c) = -2*c + 11. What is the remainder when v(-10) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -111*y + 1559. Let w(m) = -1001*m + 14042. Let i(o) = 28*j(o) - 3*w(o). What is the derivative of i(g) wrt g?\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2251 + 0.0251. Is o bigger than 204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40084084913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -14 + 15)*2. What is the nearest to 19.5 in 3, y, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35, 31, 27?\n\"Answer: -4*y + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 36*h - 181. Let f be v(-30). Let p(l) = -l**3 - 1. Let c(y) = -3*y**3 - 7. Determine f*c(k) + 2*p(k).\nAnswer: k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -a90?\nAnswer: a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (13 + 4 + -18 - 12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 89*a - 15 - 51*a - 42*a - 59*a**2. Let p be o(-5). What is p rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 42*w + 31 + 32*w + 13 + 2*w**2.\nAnswer: 2*w**2 + 74*w + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -10*n + 5*n, -5*s + 3*n + 22750 = 0. List the prime factors of s.\nAnswer: 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -188794?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*y**4 + 2*y**3 + 403178*y**2 + 78881152*y.\nAnswer: 300*y**2 + 12*y + 806356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162.4 - 162.4000000812. What is k rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736722522 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4603256 >= -4603260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -104, -371, -838, -1553, -2564, -3919, -5666?\nAnswer: -7853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/2336 and -113\/842420.\nAnswer: 6739360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 4*u**5 - 13*u**2\/2 - 11. Find the second derivative of x(k) wrt k.\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/60 and 76\/(-798)*6\/(-128).\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9133*h - 204947 - 368567 = 171*h + 21942 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 52. Suppose k + 10 = p. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 1\/2*a**4 - 1\/120*a**6 + 13\/3*a**3 - 5*a**2 - 1\/6*a**5 + 0*a + 0. Let j be z(-11). Solve -3*f = 2*f + j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - i**2 - 3*i + 3. Let q be ((-8)\/(-24))\/(1\/(-9)). Calculate the remainder when k(3) is divided by (-2 + 1\/(-3))*q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -562.5 - -563. Let r = -1.5 - -1.8. Which is the nearest to 1? (a) x (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 + -322124015.\nAnswer: -322123989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -7*x**6\/15 - 13*x**5\/5 - 10*x**4\/3 + 8*x**3\/3 + 8*x. What is a in c(a) = 0?\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-21\/2))**(37\/4)\/(g**(1\/11)*(g\/(g**(-5\/4)\/g)*g)\/g) assuming g is positive.\nAnswer: g**(9067\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 26. Suppose x = b - 15 - 0. Let l be (-6)\/(-30) + (-3)\/b. Are l and -1\/74 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(-18)*(p\/(p*p**(-2\/5)))\/(p\/(p**(7\/5)*p)) assuming p is positive.\nAnswer: p**(243\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84019 + 9?\nAnswer: 84028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 562*s**4 - 2*s - 563*s**4 - s**3 + 0*s**3 - 4*s**3 in the form d*s**4 + i*s + r + b*s**2 + c*s**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/66185 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -14*d**2 - 7*d**2 + 4*d**2 - d**2. Let v = 72 + -42. Let k(t) = -58*t**2 + 26*t**2 + v*t**2. Determine x(k(y)).\nAnswer: -72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/81)*(l**(-3\/5)*l)\/l*l**(-1\/6))\/(l**(-2\/17)\/(l\/(l*(l\/l**(-3\/2)*l)\/l)*l)*l*l**(-5)*l**0) assuming l is positive.\nAnswer: l**(12574\/6885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r - 2*r**2)*(0*r**2 - 6*r**2 + 2*r**2) - 5*r**4 + 2*r**4 + 4*r**4 + (4*r - 2*r - 4*r)*(r**3 - 3*r**3 + r**3) + 3*r**4 - r**4 - 3*r**4.\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + 2*b, -60*q + 64*q = 3*b - 1. Let d(a) = 6*a + 1. Let k be d(-1). Let p be (-9 + 9)*(-1)\/1. Put 3, p, k, q in ascending order.\nAnswer: k, q, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3823 = -20*w - 403. Let y = 148 + -90. Calculate the remainder when w is divided by y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (810\/3720)\/((-105)\/(-41020)) + 2\/(-31).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*j + 21 = 0, 3*n + 2*j = 22 - 6. Let v = n + -4. Suppose -u = -1, -v*p - 2*u = 2*u - 44. Solve 0 = -3*m - 2*m + p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -308.5708 rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116444407?\nAnswer: 17, 19, 360509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 133 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 20, j + 397 = o. Suppose 4*t - 1473 = 3*n, -4*t + n + o + 1090 = 0. Is 31 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -223.4 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from qbjjojijibiipo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -1\/3*l**3 + 4*l + 0*l**4 + 0*l**2 + 0*l**6 + 2\/21*l**7 + 0*l**5 + 0. What is the second derivative of x(n) wrt n?\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.82 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*y**3 - 2*y**3 + 19*y**3)*(24 - 24 + 2*y) + (0*y**2 - y**2 - y**2)*(4*y + 2*y**2 - 4*y).\nAnswer: 56*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**3\/3 + 2*p**2 - p. Let r be w(4). Let a(u) = -20*u + 17. Let f be a(1). Put r, f, -1 in decreasing order.\nAnswer: -1, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4029, -8058, -12089, -16122, -20157, -24194?\nAnswer: -28233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, 5, -0.06, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1*(1 + 0 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 67 = -5*o, -3*j + 5*o + 95 = 2*j. Suppose -15 = -5*k, 3*k - j = -h + 26. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -5.775. Let u = 94.225 - c. Let j = u - 94.059. What is j rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 24 = 9. Suppose 0 = -s*m + 2*m. Suppose 3*k - 3*o - 63 = m, -2*k - 2*o + 16 = -10. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87203*j**2*l**2 + 52662*l**2 wrt j?\nAnswer: 174406*j*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**8\/336 + r**7\/30 + r**6\/60 - 23*r**5\/30 - 65*r**4\/24 - 25*r**3\/6 + 76*r**2. Factor x(s).\nAnswer: -(s - 5)**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105492 and 20001?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 m when four letters picked without replacement from {m: 5, z: 7}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*-7*(-42)\/17640?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -196746, -196720, -196684, -196632, -196558, -196456, -196320, -196144?\n\"Answer: v**3 - v**2 + 22*v - 196768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-x**2 + 7*x**2 - 5*x**2)*(7 - 7 + 9*x)*(5 + 3*x - 5).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(-46))\/((-3)\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13913*j**2 + 19*j. Let v(m) = -51*m**2. Give k(v(o)).\nAnswer: 36187713*o**4 - 969*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 18892467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(4\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -312. Suppose -u = y - 3*y - 5*s, 3*y + 4*s - 403 = 0. List the prime factors of y.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 62. Let v be w(8). Let x(f) = f**2 - 3*f + 14. Give x(v).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00047099555 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*x + 4 = 2*x, -4*r - 4*x + 44 = 0. Suppose -19 + 127 = -r*l. What are the prime factors of (6736\/l - (-18)\/81)\/(-2)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*b - 20*b = -34*b - 1560 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1325353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 6*c - 2*c - c - 1. Suppose -2*n - 14 = 5*k, -5*k - 31 = -5*n - k. Give f(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 120 (c) -2 (d) 0.2 (e) -2\/5 (f) -662\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9767903?\nAnswer: 9767903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94 - 1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 29 = 4*k, a + 4*a - 4*k = 51. Suppose -4*w - 7 = -j, -3*j - w + a = j. Sort j, -0.3, -4 in descending order.\nAnswer: j, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 10*o**5\/3 + 4*o**4\/3 - 10*o**3\/3 - 4*o**2\/3 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 48. Suppose 0 = 7*v - 95 + 11. Let s be z(v). Let b be 1\/6*s\/14. Put -5, -3\/2, -1, b in decreasing order.\nAnswer: b, -1, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116855.076 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-177)\/(-21) + (-11 + 9 - 7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*j + 40*j - 209. Let n be (-33)\/2*(-46)\/3. Calculate the greatest common factor of j and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 166*m - 1. Let f(y) = y. Determine f(l(c)).\nAnswer: 166*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 + 282*f**4 - 8616*f**3 + 77568*f**2 + 270336*f - 786432.\nAnswer: -3*(f - 32)**3*(f - 2)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 24. Solve k + 2*x + 4 = -2*x, 3*k - 4*x + z = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from pqwrmrprrw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 + 139. What is the remainder when (-55)\/11 - -2 - (x + -92) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - 22*q + 58. Let r = 44 - 40. Let o be k(r). What is the highest common factor of 117 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/10)\/y*y)\/(y\/(y*y\/(y\/(y\/y**(-5\/3)))*y)))**(-14) assuming y is positive.\nAnswer: y**(-833\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 5:46 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/17 + 404*i**2\/17 - 398*i\/17 - 804\/17 = 0 for i.\nAnswer: -1, 2, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*k = -4*k + 11711, 0 = 3*r - 4*k - 35154. Let y = r - 8067. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*n = -2, -4 = -5*w - 2*n + 7. Suppose 0 = w*r + 183 + 117. What is the units digit of (6\/(-5))\/(15\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7736 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 30*k + 46. Give y(-31).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*d + 3, -2*x + 5 = -2*d - 3. Suppose 4*w + 52 = 68. What is the lowest common multiple of w and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 6*o**2 - 4*o + 5. Let l be f(-4). Let k = l - -24. Let r = k - -3. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.5, 1\/141 in decreasing order.\nAnswer: 3\/2, 0.5, 1\/141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 16*c - 15.\nAnswer: -(c - 15)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1655 - 16553\/10. What is the biggest value in 1, -6, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -627 (base 8) to base 2\nAnswer: -110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(1*(-6)\/116)*(36 - 8085\/231)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -63, -2, -5 in ascending order.\nAnswer: -63, -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y**3 + 0*y**2 - 42*y - 1\/4*y**4 - 80. Differentiate c(o) with respect to o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3813*o + 3813*o - 8*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27706557 and -0.4457?\nAnswer: 27706557.4457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 5*h - 6. Let q be f(-4). Let k be (1\/q)\/(8\/(-32)). What is the first derivative of 3*a**k - 3*a**2 - 4 - 6*a**4 wrt a?\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84769, 170148, 256139, 342742, 429957, 517784, 606223?\nAnswer: 695274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 15044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 603 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 29*m + 2. Let l(v) = -5*v - 728. Determine s(l(k)).\nAnswer: -75*k**2 - 21985*k - 1611062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 39*t**3 + 28.\nAnswer: -39*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 248*h**2 + 89*h**3 - 168*h**2 + 269*h**3 + 140*h**2 + 143*h**2 wrt h?\nAnswer: 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q + 454 + 2500 = 36 - 2087 for q.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*w - 12 - 0, 4*w - 7 = -3*o. Suppose 4*g = -5*d + 32, -o*g = -0*g + 4*d - 31. Let x(m) = -10*m**2 + g*m**2 + 2*m**2 + 4*m**2 + m**3. Give x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19480335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/((32\/60)\/(-4)). Suppose -3*k - x = -33, 7*k - 2*k + 5*x = l. What is the first derivative of -25 - k*w**3 + 2*w**3 - 5*w**3 + 46 wrt w?\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfqeqqaecaf. Give prob of picking 1 f and 1 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 227\/25 - (-396)\/(-50).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 22*m + 21. Let f be g(5). Let d = -128 + f. Solve 0 = 7*o - d*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-50)\/(-100).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4 + (-75)\/(-6) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = -105 - 111. Solve -k = j - 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304233240 + 132?\nAnswer: 304233422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1235328*t**2 - 1040781.\nAnswer: 2470656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -5\/28083241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-21 + 10)) + -9 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 499732 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -221*i**3 + 196*i wrt i?\nAnswer: -1326*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395, 788, 1185, 1586, 1991?\nAnswer: 2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 92, 136?\n\"Answer: 44*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210623\/8 - -26324. Find the common denominator of -31\/560 and g.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923814322 to the power of 1\/2, to the nearest integer?\nAnswer: 43861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, l: 5}. Give prob of sequence ell.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/9 and 7\/48154683.\nAnswer: 144464049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + 80 + (1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 78*t**2 - 4*t - 88. Calculate z(-39).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -549*y**2 - 532*y**2 + 11 + 1081*y**2 - 2*y**3 + 17*y as k + j*y + f*y**2 + w*y**3 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -19512843 at least -19512842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -207 and 0.3?\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -4, 0, -82, 5 in increasing order.\nAnswer: -82, -36, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216 + 253. Calculate the highest common divisor of 333 and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/20910 and 47\/95197080.\nAnswer: 1618350360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**2 + 9*m. Let k be (-1)\/(1 + -4)*-3. Let q(j) = j**2 - j. Let u(i) = k*h(i) - 6*q(i). What is the second derivative of u(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(33) + (1*sqrt(363))\/sqrt(11))\/(sqrt(66)\/(5*sqrt(6)) + sqrt(11))*3)**2.\nAnswer: 50*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107389 is divided by 938.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 931*s**3\/6 + 248*s**2 + 19*s + 49. What is the derivative of w(g) wrt g?\nAnswer: 931","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 177392 - 3*v - 177392. Let j(p) = 261*p + 1. Calculate i(j(m)).\nAnswer: -783*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*(-12)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*k - 202*k + 384 = 118*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 12. Let f(m) = 4*m + 12. What is 4*f(u) - 6*v(u)?\nAnswer: -2*u - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 0*z + 0*z + (2*z - z + 2*z)*(-2 - 3 + 2)*(-3 + 7 + 2).\nAnswer: -56*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.488447mg to tonnes.\nAnswer: 0.000000008488447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, 1\/3, -5, -2\/7, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + 0.22. Let t be (1053\/260 + 9\/12)*3700\/(-222). Which is the third biggest value? (a) t (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 775 * 0.4\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.7 - 30. Let q = -9 - -9. Let r = q - -0.06. What is the third biggest value in r, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -618.8 - -619. Which is the biggest value? (a) 12 (b) w (c) 10 (d) 4 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(4\/(-1))*44. Let h = 23 - l. What is the least common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(567) + -2*(3 + sqrt(567)) - (3 + (1 + sqrt(567) - sqrt(567)) + -5)**2.\nAnswer: -9*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1522*-0.5\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -413 (base 11) to base 7\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 4 + 69)*1. Suppose -v = -5*r + 24. Suppose 11 + r = 3*t. Solve 5 = y + t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/3 + 2*a\/3 + 4 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2, -25, -0.49, 10?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 greater than 337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2.72 (c) 13 (d) 1 (e) 0.1 (f) -89 (g) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**5 + 58*u**5 + 17*u**5 + 0*u**3 + 2*u**5 + 0*u**3 + (u**4 - 4*u**4 + u**4)*(3*u + u - 2*u) + 3*u**5 - 3*u**5 - 2*u**5 - 2*u**5 + 0*u**5 + 0*u**5.\nAnswer: 76*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 - 73*d + 7. Determine r(-13).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 7 (b) 0.264 (c) 2\/9 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13\/g)\/g**(1\/15)*g**26*g**(-21) assuming g is positive.\nAnswer: g**(254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37044354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/(o**(-1)*o)*o)\/o*o))**32*o**(-5)*o*o**1\/o)\/((o**(2\/21)\/o*o**7\/o)\/(o**(-6)\/o**(-7\/5))) assuming o is positive.\nAnswer: o**(-8158\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6207796 less than -4780175?\nAnswer: -10987971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/5)\/4*-15. Suppose 10*c + 14 = h*c. Calculate the remainder when 12 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.7279 to one decimal place.\nAnswer: -25.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 4*o - 3\/2*o**4 - 5\/3*o**3 - 2*o**2 - 63. Let v(c) = -7*c**3 - 6*c**2 - 5*c + 5. Calculate 5*n(d) - 4*v(d).\nAnswer: -2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10470\/13 at least 805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*p + 5*l = 56*p + 118*p + 30, -3 = -l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1310*k**3 - 8706*k + 8706*k + 5*k**3 + 0*k**3 - 3*k**3 + (9 + 3*k**2 - 9)*(0*k - k + 3*k) - 3 + 2*k**3 + 3.\nAnswer: 1320*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.302 and -22796.\nAnswer: -22792.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 8) to base 9.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*t - 436, 4*t - 596 = -s + 6*s. What is the highest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:10 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52\/2893 + 5110\/37609. Find v such that 8\/13*v**3 + l*v - 10\/13*v**5 - 12\/13*v**4 + 12\/13*v**2 + 0 = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12544245101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = 221*i - 2805. Calculate the smallest common multiple of i and 274.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d + 184 - 184.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 4*d - 4*d - 39*d**2 - d + 123*d**2 + 94*d**2 + (d - 3*d + 4*d)*(3 - 2*d - 3).\nAnswer: 173*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48, -225, -704, -1635, -3168, -5453, -8640?\n\"Answer: -25*m**3 - m**2 + m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -820*w - 36*w - 3424 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101000000000100000 (base 2) in base 4?\nAnswer: -11220000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621343 - 3106725 + 621349 + 621349 + 621340 + 32*t + 621344.\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 2\/3*k**3 + k + k**2 - 5. What is the smallest common multiple of q(-2) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606815756 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**3 - 5*o**2 + 5*o + 69. Let p(j) = -3*j**3 - 2*j**2 + 2*j + 35. Calculate 5*p(a) - 2*w(a).\nAnswer: -a**3 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2346\/1071*-7)\/(2\/(-3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -22*j**3 - 7*j**2 - 13*j + 7. Let v(q) = -7*q**3 - 2*q**2 - 4*q + 2. Determine -2*g(u) + 7*v(u).\nAnswer: -5*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 20*p + 123. Let t = p - -44. Let k(r) = 2*r**3 - r - 4. List the prime factors of k(t).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 13 = 3*b, -2 = b + u + 2*u. Let v be 2\/(-4) - (-2)\/8. What is the closest to 2\/7 in v, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 174, 190, 222, 276, 358, 474?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.2 (c) 6 (d) 1\/7 (e) 41 (f) 104\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let y = 44041\/7 + -6291. What is the second biggest value in y, w, 3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243 divided by -7\nAnswer: 243\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3199 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b + 41*b = -m + 2, 5*b - 6 = -3*m. Put 23, 35, m, -4 in decreasing order.\nAnswer: 35, 23, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 88 = -3*m, 0 = 6*f - f + 3*m - 211. Let c = 10431 - 10407. Calculate the remainder when f is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -1 + (-6 - -8). Which is the fourth biggest value? (a) u (b) 1\/2 (c) -0.14 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2\/5, -33 in increasing order.\nAnswer: -33, -2\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 567 and 46332?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 990300 and 4.\nAnswer: 990300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/5, -0.05, 83 in descending order.\nAnswer: 83, -0.05, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3\/11 (c) 1 (d) 358\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 5288681728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -11. Let h(s) = -4*s**2 + 5*s**2 - l*s**2 + s**2 + 1. Calculate h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 21 = 69. Calculate the common denominator of a*6\/(-96)*(31 - 0) and 51\/19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(2\/5)*z)\/z*z))**13\/((z**(-17)*z)\/z*z**(4\/13)\/z))**(1\/11) assuming z is positive.\nAnswer: z**(812\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 496822 and 11130.\nAnswer: 52166310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 924\/(-357) - 32.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72041529 - 31.57.\nAnswer: 72041497.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 + 40432*a**2 - 161721*a\/2 - 121293.\nAnswer: -(a - 80862)*(a - 3)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 16 = 1. Suppose m = b*o + 10, 3*m + 0*o - 13 = -2*o. Let c(u) = -u**2 + 12*u - 3. Is 13 a factor of c(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/7 + 79*w**3\/7 - 327*w**2\/7 + 59*w - 166\/7 = 0.\nAnswer: -83, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4*r - 1 + 16, -18 = -5*f - r. What is the third derivative of -f*a**2 + 2*a**5 + 3*a**2 + 2*a**2 + a**2 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56250 is divided by 9070.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v - 9. Let i be c(6). Let f(k) = k - 4. Let w be f(i). Solve -3*s = r - 0*s + 1, w*r = -2*s - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a124086 + -3?\nAnswer: 1a124083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a2911 (base 15) in base 7?\nAnswer: 42124156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2\/491, 11, 4, -2\/7?\nAnswer: 2\/491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8.06. Let a = 6.94 - t. Let b = 6.99999953 - a. What is b rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1799695491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 512415 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*l - 16, 2*l + 3*u - 14 = 6. Suppose 2172 = l*p - p. Does 16 divide 4\/(-18) + p\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszzrrrurzurzrrrzwr. What is prob of sequence rrwz?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/21)*z**3*z)**(-6\/17)\/((z*z**1)**6*(z**0\/z*z)**(-1\/28)) assuming z is positive.\nAnswer: z**(-1592\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*z = -2*n - 48, -4*n - 4*z + 36 = 0. Let u = n + 4. Let c be (8 - -1)*(-2)\/(-3). Calculate the highest common factor of u and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96520 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 15. Suppose -5*w = -3*u + 1, -w = 6*u - u - 11. Let c = u + -3. Put s, c, -4 in ascending order.\nAnswer: -4, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1135679.1999962 + 1135678. Let f = -14.8 + 16. Let r = f + m. What is r rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -454 - -457. Suppose -z*f - 4*c = -3*c + 2931, c = 5*f + 4893. What is f rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -12*m - 148. Let p be b(-12). Let t be (3 + -4)\/(p\/10). Determine h so that h + 0 - 9\/8*h**5 - 21\/8*h**4 + 1\/4*h**3 + t*h**2 = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 8:25 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + w - 75. Let m be y(-17). Suppose 4*s - 2492 = m. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 - 5*a + 26. Let u be r(9). Let j = -52 - u. Solve -12 = 3*g, -3*i - g + j = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 33*l**2 - 23*l + 5. What is d(32)?\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2339, -4675, -7011, -9347, -11683?\nAnswer: -14019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8dc - -4?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -11*u + 93 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5647*u + 38 + 2852*u + 2796*u.\nAnswer: u + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -49*m - 1. Let o(u) = -148*u**2. Calculate o(i(x)).\nAnswer: -355348*x**2 - 14504*x - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31393287 to the nearest integer?\nAnswer: 5603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 11 + (-14 - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.89 - 0.11. Let o be 24\/(-100)*20\/6. Which is the closest to -1\/3? (a) 4 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/46591 bigger than -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16494\/391 - 726\/17. Let t = -153\/161 - q. Let g = 11.7 + -11.6. What is the nearest to g in -5, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3710\/11 + -336. Let a be (-2461)\/(-4) - (-12)\/4. Let t = a + -604. Find the common denominator of t and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75664 less than -41.283?\nAnswer: -75705.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270067520 and 1045760?\nAnswer: 1080270080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2682692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 80553.7 centuries?\nAnswer: 805537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35118 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, f: 2, u: 2, k: 1}. Give prob of picking 1 k, 1 u, and 2 f.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 60*u + 272. Let p be f(-4). Sort p, 137, -5, 1 in ascending order.\nAnswer: -5, p, 1, 137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/10 - 31*l**4 - 3844*l**3 - 238328*l**2 + 3*l + 58. Solve n(f) = 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-6)*1)\/(-1). Suppose -i + 6 = -f + i, -3*i = -f - 8. Let c be 52\/20 - f\/(-1). Sort g, -1\/4, c.\nAnswer: -1\/4, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i. Suppose i = -3*x + 6*x - 6. Factor 2*g - 4*g + 5*g**x + 2*g**3 + 2*g**4 - 7*g**2.\nAnswer: 2*g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 2780. Let y(v) = 11*v + 13902. Give -21*g(c) - 4*y(c).\nAnswer: -2*c + 2772","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -504*z - 2002. Calculate m(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18557\/543 > 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6027500 to the nearest ten thousand.\nAnswer: -6030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 60 + -61\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -34. Factor 1 + 68*c**3 - r + 15*c**2 - 63*c**3.\nAnswer: 5*c**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + ((-339)\/(-117) - 1))*((-52185)\/(-630) + -85).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*s - 6*s - 12, 36 = 3*d + 3*s. Suppose -9*a = -d*a. Suppose 0*o + 4*o - 96 = a. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/24*-2*(-16)\/8. Is 5\/1588 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101010011 + 1010101101?\nAnswer: 111000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/8 - 4) + (-1 - 0).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -208 + 216. 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: Calculate -3 + (4 - 6) + 19 + -4 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 5*j + 0*j)*(-2*j**2 + j**2 + 0*j**2)*(27 - 144 - 15176*j**2 + 15175*j**2 - 2*j).\nAnswer: 2*j**5 + 4*j**4 + 234*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.39 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 302\/151*1\/1*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125 and 3900?\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 82, 106, 134, 166, 202, 242?\n\"Answer: 2*r**2 + 18*r + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(3*m + 5 + 2*m - 3*m).\nAnswer: -6*m - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122)\/(-793) + 28\/(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s - 23. Let q be n(2). Suppose q*o - 7*o = -f + 29, 33 = -4*o + 5*f. Let u be -4 - (-8 + 1)\/1. Sort o, u, -0.4, -2.\nAnswer: o, -2, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:46 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6104772 is divided by 2034767?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a - 6*a - 2*a)*(-2*a + 0*a + 4*a)*(3*a - a + 0*a).\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 39. Let v(j) be the second derivative of 0 + 2*j + 0*j**4 + 3\/2*j**2 + 0*j**n + 1\/10*j**5. What is the derivative of v(q) wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 505\/22*(-27)\/135 and 91\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -1. Suppose 5*a - k + 1 = 0, -2*g + 23 = -5*a. What is the remainder when (26 - 25)*(0 + 53) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-5719)\/637 - (1232\/(-286) - -4).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -115, -143, -161, -163, -143?\n\"Answer: y**3 - y**2 - 32*y - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-450*p - 527*p + 280*p)*(-6*p - 20*p - 12*p) - 3*p + 3*p - p**2 + (4*p - 3*p + p)*(-p - p + 4*p).\nAnswer: 26489*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/9 + (-2)\/6. Suppose -v*o = -2*o - 4. What is the derivative of 4 - o - 1 + 3*k wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 32*f**2 + f - 85. Calculate z(32).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - z - 43 = 0, i = z + 2 + 17. Let v be 6\/(-14) - -1 - i\/(-56). Solve 2*a + v = -5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 109*t**2 + 51*t + 6167. Give i(108).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j - 4*j - j)*(-5 - 1 + 2) + 0 + 0 - j)*(2*j - 4*j + j)*(3 - 3 - 1).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 3. Let u be 1\/(0 - 3\/x). Suppose z = -5, 5*z + 14 = -u*g + 1. Solve -2*s = 3*s - 3*j - 4, g*j - 16 = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*j + 2*n, -2876*n = -2871*n - 50 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6909?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-21 + -1 + -3) - (7 + 1) - 44.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-60) + ((-574)\/(-6))\/1. What is the remainder when -3 + t + -4 + 2 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/4 - d. Let s(b) = -2*b**2 - 6*b. Let i(l) = -2*l**2 - 5*l. Let m(u) = 6*i(u) - 5*s(u). Calculate m(j(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -9 - (1 - 0)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n + 4*n - 20 + 4 + n**2. Let p be u(-9). Let h(v) = 3 + p - 4 - 5 - 3*v. Determine h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7510.\nAnswer: 2, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6050) + (sqrt(6050) - (sqrt(6050) - (-2 + sqrt(6050))))**2.\nAnswer: -165*sqrt(2) + 6054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -3*(20 + -15)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 4. Let f = 6 + -10. Give t(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -21 + 9 - 4*f - 15. Suppose -168 = -194*l + 208*l. Let i be r(l). What is the highest common divisor of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -240.44774 to 1 dp.\nAnswer: -240.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 + 5*j - 10. Let o be a(6). Suppose -o*i + 68 = -16*i. Calculate the remainder when 33 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065774026 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 y when four letters picked without replacement from nnuubnbyuybbbbkub?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324058 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 1:58 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2\/5 + 17792*m\/5 - 1851702 = 0.\nAnswer: 555, 8341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 7*i - 3426. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 291*v**2 - 280*v**6 + 72*v - 32*v + 2*v**2 - 40*v wrt v.\nAnswer: -33600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 2*n**2 + 1. Let y be i(2). Let q = -7 + 11. Suppose 2*j - 1 + 12 = 3*r, q*r = -j. Are y and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 499.85 - 490. Let a = 1.55 - m. Round a to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(-2*i + 3*i + i) - i + 5*i - 3*i + (-1 + 5 - 2)*(-9*i - 13*i + 4*i))*(4*i - i + 6*i)*(-i - 3 + 3).\nAnswer: 351*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76\/3 - 26. Let t = 71.45 + -76.45. Let o = 0.07 + 3.93. Sort z, t, o in decreasing order.\nAnswer: o, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759?\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5, -3*b - 99 = n - 4*n. Let x = 48 + b. Suppose x = -c + 2*c. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5885 and 186715?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from xjn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 1. Let f(t) = 5*t**2 + t - 4. Suppose 2*s - 1 = 3*s. Let x(i) = i**2 - 7*i + 6. Let q be x(7). What is q*k(m) + s*f(m)?\nAnswer: m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5 = -1. Let l(q) = 5 + 3*q - 2*q - q**i - 1 - 5. Let m be l(2). Sort -4, 4, m.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 + 162. Calculate the smallest common multiple of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*q**2 - 1000*q + 17460 wrt q.\nAnswer: 6*q - 1000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -313\/35 - -44\/5. Put 1\/3, n, -15 in increasing order.\nAnswer: -15, n, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/13161 and -22\/3.\nAnswer: 13161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2\/17, -0.5, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1564*z**3 - 144*z**3 + 94*z**3 + (2 + 3*z**3 - 2)*(-3 - 1 + 2).\nAnswer: -1620*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.695*-3.6.\nAnswer: -27.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -403*d**2 - 802*d. Let q(u) = 404*u**2 + 798*u. Let n(g) = -5*q(g) - 4*r(g). Find the second derivative of n(s) wrt s.\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**4\/7 - 1200*a**3\/7 + 51924*a**2\/7 + 108680*a\/7 = 0.\nAnswer: -2, 0, 55, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1566 + 0*g - 4*g + 1563.\nAnswer: -4*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242499 is divided by 388.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 7*f - 9. Let k be d(-7). Let q = k + 21. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 321 + -216. What is the highest common factor of x and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590634678 to the power of 1\/2, to the nearest integer?\nAnswer: 39883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-2) - 32)*-2 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1 - -1) + (-6 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-25) + 4\/20. Suppose -2*p - 1 + 5 = x. Suppose p*o - o = 2. Solve -a = o*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711821?\nAnswer: 11, 163, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64283 is divided by 7137?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-14) + (-1905)\/(-21). Let t = u - -29. Suppose -1310 = -4*o - 3*x, -o + t + 211 = -x. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2723798, -2723720, -2723644, -2723570, -2723498, -2723428?\nAnswer: -2723360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 46 - 190*i - 522*i - 24 - 328*i.\nAnswer: -1040*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q + 3. Solve 4*r = -7 - q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -32. Suppose -3*y = -i*q - 39 - 80, 0 = 4*q - 5*y + 113. Let v be 42\/((-4)\/q*6). What is the highest common factor of 84 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 4*t - 3*t)*(15 + 2*t - 15 + 0*t - 3*t + t + (2*t - 2*t + 3*t)*(1 + 0 - 3)) to the form v + a*t + k*t**2 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -895 - -899. Suppose r*h + 4*u - 27 = -43, 23 = -5*h - 2*u. Which is the third biggest value? (a) -1\/5 (b) h (c) 112 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1156793 and 315489.\nAnswer: 3470379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8775 times 5?\nAnswer: 43875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*27\/(-6) - 2. Let u = q + -4. Let a be (2\/u)\/(2\/54). 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: Convert 9.794755cm to nanometers.\nAnswer: 97947550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 11:56 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31450 (base 6) to base 3.\nAnswer: 12212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 4208?\nAnswer: 12624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 129156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/14 + (3 - 57\/21). Find the third derivative of 3*c**4 + 0*c**4 + 4*c**4 + 2*c**2 + 7*c**j wrt c.\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-7*170\/(-357) + 8\/(-6)). Let l(o) = o**2 + 2*o - 2. Let h(v) = -v + 1. Let b be h(4). Let x be l(b). Is x at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-595)\/(-7)*(-17)\/(340\/12).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 187, 189, 191, 193, 195?\n\"Answer: 2*l + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176 + -540. Let f = 366 - p. Round f to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - x - 4 = 0, -3*g - 65 = -3*x - 53. Let k = -151\/4 + 38. What is the closest to -1 in g, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -178601134.6426 and 0.1.\nAnswer: -178601134.5426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202 (base 3) to base 4.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/3)\/(8\/(-8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 8104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*v + 19*v - 20*v)*(2 + 1 - 5) + 13 - 3*v - 13.\nAnswer: 57*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21.89 or -2?\nAnswer: 21.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13725 and 1350.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j**2. Suppose 20 = -4*q - 3*s + s, -s = 5*q + 19. Let k be y(q). Let m = k - 1. What is the highest common divisor of m and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.2. Let y = 2 - 6. Let g = y - -4.3. What is the nearest to j in g, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-492)\/120 - (21\/(-30))\/7. Let c be (8\/64*i)\/(-2). What is the nearest to -4\/3 in 1, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*c + 4, -4 = 2*y + 4*c - 2. Suppose 5*s - 253 = 4*r, -3*s - r = y*r - 171. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21350*h - 42708*h - 290 + 21361*h - 2*h**2 + 0*h**2.\nAnswer: -2*h**2 + 3*h - 290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 1*sqrt(5)*6) + sqrt(25)\/(sqrt(55)\/sqrt(11)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21004, -41990, -62956, -83896, -104804, -125674, -146500?\n\"Answer: a**3 + 4*a**2 - 21005*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + c**2 - 2*c + 1. Let j be q(1). Find the third derivative of 0*o**2 + 0*o**2 - 5*o**j + 4*o**3 + 0*o**2 wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 2*u**2 - 1\/60*u**5 + 0*u + 1\/4*u**4 + 0 + u**3. What is the units digit of z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*n - 4. Let f(s) = s**2 - 6*s - 4. Let u be f(n). What is the third derivative of 2*r**5 - 2*r**2 + 4*r**5 - r**5 - u*r**5 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(304) + 3)*6.\nAnswer: 29 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1\/12*o**2 + 89\/4*o - 67\/3 = 0.\nAnswer: -268, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (168\/294)\/((-4)\/(-78582))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:11 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, 230, 240, 254, 272, 294?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 113.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2760530 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 6. Suppose 0 = 5*b - 2*a + 4, 5*a - 10 = 3*b + 2*b. Suppose b = -2*l + 486 - 90. Calculate the greatest common divisor of l and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5271.92 kilometers in centimeters?\nAnswer: 527192000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -7.0874678802122.\nAnswer: 11.0874678802122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/3, 2, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55283847.\nAnswer: 3, 17, 167, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 42*z + 24 = 0. Find g, given that z*g**3 - 3*g**4 - 24*g - 35*g**2 + 7*g**4 + 15*g**2 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3237\/166)\/(3\/(-2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848214 is divided by 332.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1001010010011?\nAnswer: -1001010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85\/22 - 26\/11. What is the smallest value in 0.3, -7\/6, 2\/15, p?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 8 = -8*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16506932419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - (-51)\/(-9) - (-2)\/3. Solve 16 = -z*p + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775016926?\nAnswer: 2, 31, 211, 59243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 + 0?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -198 + 20*y + 198 + (-4*y - 2*y + 4*y)*(-1 + 1 + 2) - 5*y + 3*y + 4*y - 2 - y + 2.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -570*d + 2. Let p(v) = -52*v**2 - 60*v + 12. Let w(q) = 4*q**2 + 5*q - 1. Let u(m) = p(m) + 12*w(m). Give u(k(r)).\nAnswer: -1299600*r**2 + 9120*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724438?\nAnswer: 2, 11, 13, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*n**5 - 4106*n**4 - 2361133*n**2.\nAnswer: 2520*n**2 - 98544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 104. Let p = -38 + 77. Calculate the highest common divisor of p and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 20. Let f be (2\/(6\/(-3)))\/((-2)\/16). Let q be a(f). Suppose -q*h - 9 + 1 = 0, -4*h - 16 = -4*z. Solve z*u + 14 - 4 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:16 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 2:25 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1106, -4671, -10604, -18899, -29550, -42551, -57896?\nAnswer: -75579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8638.997 micrometers?\nAnswer: 0.8638997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 725 divided by -2.\nAnswer: -725\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*b = 63500, -4*q = 75*b - 76*b - 63480. Does 185 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.259822l?\nAnswer: 2259.822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -26 + 6. Let u(p) = p**3 + 3*p**2 + 2*p + 7. Let m be u(-3). What is the greatest common factor of v and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4720410 + 51?\nAnswer: 4720461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1594.9 + 1595. Let m = 0.1 - 2.1. Let b = 1.5 + m. Put 0.4, w, b, 1 in increasing order.\nAnswer: b, w, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csmm when four letters picked without replacement from {j: 1, c: 3, s: 5, m: 8, u: 2}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*r = 0, -5*b = 5*r - 5 + 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 84*w**2 + 1. Is m(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -893.1 - -892.7. Which is the biggest value? (a) -3\/7 (b) x (c) -275\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*-2*sqrt(24) + sqrt(24))\/((sqrt(72)*2)\/sqrt(9)).\nAnswer: -5 + 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 3*f**5\/5 + f**4\/2 - 2*f**3\/3 + 3*f**2 - 17*f. Let p be g(-5). Is (p\/8)\/(2\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9439 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*f**4 - f**4 - 3 - 2*f**3 - 7*f**4 + f**2 + 3*f**3 - 2*f to u*f + k*f**4 + d*f**2 + h*f**3 + i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142.0898l to millilitres.\nAnswer: 142089.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c. Let h(y) = 19*y + 2. Let q(r) = -20*r - 3. Let l(j) = -3*h(j) - 2*q(j). What is o(l(b))?\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 4:47 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/24, 81, 0.5 in descending order.\nAnswer: 81, 0.5, 1\/24, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861120 is divided by 32082?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 3*z - 21. Let g = -304 - -288. List the prime factors of i(g).\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - b. Let i = -3 + -9. Let m(q) = -8*q**2 - 28*q - 20. Let n(w) = i*k(w) + m(w). Factor n(r).\nAnswer: 4*(r - 5)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 11*d - 564 = 3*y, 558 = -3*y - 4*d. Put y, 4, 2 in descending order.\nAnswer: 4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*z - 2936 = 0, -4*a + 5*a - 749 = -4*z. What are the prime factors of a?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1345 - 1345 + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/15 (b) -5 (c) -58 (d) -1 (e) -0.07 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 3727 - 63 - 72 + 4*a.\nAnswer: -a + 3592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*s + 14 = s, -2*q + s = -3. Is (6 - 2) + q - -36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let m(r) = 620*r + 1. Calculate -14*f(h) - 2*m(h).\nAnswer: -1212*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/7)\/((x\/(x**(-8\/9)\/x)*x)\/x*x)*(x\/x**(2\/25))\/x**(5\/2) assuming x is positive.\nAnswer: x**(-19477\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 - 24 + 15 - g.\nAnswer: -g - 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(-1)\/(-4)*2. Let i(p) be the first derivative of -1\/3*p**3 - 1 + 0*p**2 + 2*p. Calculate i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.8 + 7.8. What is the nearest to -2 in s, -0.3, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 1:33 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 - 11*v - 16. Let f be m(5). Let h(b) = b - 12. Give h(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -14. Determine n so that -o*n + 6*n + n**2 - 2 + n = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367245.16 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.901193nm in millimeters?\nAnswer: 0.000005901193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2140589 rounded to three dps?\nAnswer: -2.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -7. Let s be 3 - 2 - 1*-2. Let y be s\/((f\/(-4))\/(-3)). Let t(w) = -w**2 + 8*w - 4. Calculate t(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + c6?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a + 155 = 48*a. Solve 11*d - a*d + 18 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 1 + 1)*(4 - 2 + 5) + (1 - 2 + 3)*(-3 + 4 - 3)*(x + 2*x - 4*x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.201 + -28.113. What is the second smallest value in 1\/13, n, -4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-203)\/(-84)) - -1*(-912)\/64?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwpk when four letters picked without replacement from wkpkpkpkpkwwk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5904124.\nAnswer: 2, 1476031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 516 = -13*x - 3*h, x - 174 = -3*h. Calculate the greatest common divisor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 955*u**4\/12 - 19*u**3\/3 - 3*u**2\/2 + 174*u - 5. Find the second derivative of x(g) wrt g.\nAnswer: 1910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2, 0.3, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1204 + -1200. Solve 2*v + m = 0, 2*v = -15*c + 10*c - 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from {c: 2, p: 4, k: 4, n: 6, s: 3, v: 1}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50521 (base 10) to base 16.\nAnswer: -c559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37040 is divided by 12341.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 11:43 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 47*r + 30 - 56 to the form v + m*r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 157 = -151. Does 9 divide a*(-147 - 6) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3\/2 + 2709621*n**2\/2 - 611838518445*n\/2 + 611835808827\/2 = 0.\nAnswer: 1, 451603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 - 2. Let d = 0.7 - c. Let v(n) = n**3 - n**2 - 2*n - 1. Let r be v(-1). What is the second smallest value in 2\/17, r, d?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97813480*b**2 - 28442*b + 813?\nAnswer: -195626960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2161\/1482 - -37\/26. Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74107334 divided by -6118.\nAnswer: -12113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -36b0?\nAnswer: 36b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824239 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsrsgshsghshshhsdhsh. Give prob of picking 1 h and 2 s.\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/(201250\/178756) + -111.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**2 + 11*s**2 - 9*s**2.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318 + 1113 = 54*y - 1095 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4865563.\nAnswer: 229, 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766 = -9*k - 136. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/651 and 47\/1302?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6067\/2 - 3107. Let u = o + 74. Put 5, -0.3, u in descending order.\nAnswer: 5, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*d = -4365, 4*d + 4390 = 5*p + 3*d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 602 and 14975266.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 18440720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1299132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 - -31. Suppose -9*c - 4*c = -m. Suppose -c*z = -17*z + 60. What is the remainder when 46 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4323956 times 0.01?\nAnswer: 43239.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 30240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 17 - 19 - 3) + 0 + -34\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-73 + 55 + 57)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3\/4, -0.2, 33?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Is 64 a factor of 2385856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, j: 2, w: 3, e: 1}. What is prob of sequence ewwj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = y. Suppose -4*v = 3*h - 11, -2*v - 4*h + 13 = -h. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16168929 and 2520?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (55\/77)\/(3 - 1172\/390). Let w = j + 139. Is w less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 21 = r - 0*r, 5*r = -5*p + 45. Let a(q) = -3*q - 13. Calculate the remainder when p is divided by a(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j, -k + 1 - 2 = -5*j. Suppose -101 = -k*m + 75. Let h = m - 12. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 209157861455265 and 6.\nAnswer: 209157861455271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543285.\nAnswer: 3, 5, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (7 - 9) + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.083998 minus 0?\nAnswer: -2.083998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + sqrt(252) + 2)**2 + -4 - (4*3*sqrt(28) + sqrt(28))\/sqrt(4).\nAnswer: 35*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*w + 15. Suppose 4*p = -0*v - 5*v + 2, 14 = w*v - 2*p. Find the third derivative of -3*m**2 + 3*m**5 + 7*m**2 - 3*m**v wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j + 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-14 + 1 + (3 - (-23 + 6))) - -150\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -71, -275, -617, -1097, -1715?\n\"Answer: -69*i**2 + 3*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 + -12 - (-5 + -13))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1601240085?\nAnswer: 3, 5, 271, 131303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 12*r**3 - 117*r**2 + 162*r.\nAnswer: 3*r*(r - 3)*(r - 2)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 z when four letters picked without replacement from {u: 5, z: 4, j: 5}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 66.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028774 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/8)*k*k**(-14) assuming k is positive.\nAnswer: k**(-107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -477, 2, 1035, 4.\nAnswer: -477, 2, 4, 7, 1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 20*j - 21*j + 73*j - 19*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 19 - 23. Suppose 4*f - 20 = -4*s, 3*s - 3*f = -12 - 3. Solve 2*k + 2 = j, 3*j - 2 = u*k - s*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 23. Suppose w = o + 2*o - 381. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-10)*25\/(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/3 + (-117 - -122))\/((16\/(-2))\/(-8)).\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/16 + 330\/80 - -202) + 3. Let u = -357 - -252. Let r = u + h. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 99\/12 + (-1)\/4. What is the remainder when (n\/1 + -3)*(-4 - -6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737 a factor of 492462936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2927729*y - 5. Let k = -13 - -9. Let f be r(k). Suppose -2*n = q + 28800000, f = -3*n + 5*q - 31489089. Round n to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*j = 914*j - 99 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1296 + -1294. Solve -5*u = b*r + 13, 14 = 4*r + u + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 16 + 4 = 0. Let y(z) = 33*z + 25. Let p be y(-5). Let w = -279\/2 - p. What is the fourth biggest value in a, -2\/3, 2, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 65. Let k be ((-6)\/2)\/(12\/16). Let f be (10\/k)\/((-2)\/4). Solve 8 = -f*m + t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 466*q**2\/9 + 812*q\/9 + 32\/3.\nAnswer: 2*(q - 24)*(q - 2)*(9*q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1226751 rounded to four decimal places?\nAnswer: -0.1227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, s: 7}. Give prob of sequence ussu.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3211\/2996 or 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 11*o**2 - 427*o + 82. Calculate n(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50.5 + 50.9. What is the fourth smallest value in -5, 6, -8, s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -57.027. Let j = 0.0270082 - q. Round j to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1723 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 4*y**2 + 5*y + 5. Let p be z(-5). Let j(f) = f - 6. Let c be j(p). Let h(d) = 0*d**2 - 3*d**2 + 13*d**2. Determine h(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.650469 years to centuries.\nAnswer: 0.03650469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -39477*o + 78951*o - 39475*o - 3. Suppose 6*p - 11*p - 45 = 0. Determine u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3 (b) 1 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + (-4 - (5 + -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*((m*m**(-6))\/m)\/m*m*m*m**(4\/5)*m)\/(m**(-3\/5)*m\/(m*m**(-3\/19))))**46 assuming m is positive.\nAnswer: m**(-3312\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000504931 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -13, 0 in decreasing order.\nAnswer: 0, -13, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27083041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3195 and 13230?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -785804400.76997634 + 785804425. Let x = -24.23 + l. Round x to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -213, -428, -657, -906, -1181?\n\"Answer: -z**3 - z**2 - 205*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*90\/405.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:56 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*h - 35*h + 99*h. Solve h - 2\/7*n**2 + 24\/7*n = 0 for n.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 at most 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**3 + 403475*s**2 + 6053420*s - 13720700 = 0?\nAnswer: -17, 2, 80710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*a**6 + a**4 + 7*a**3 - 710*a**2 wrt a?\nAnswer: 1560*a**3 + 24*a + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2674 and 3584.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 18136.\nAnswer: -1\/4534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 73\/18 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188126029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.999953 - 17. What is y rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*2 + -4 + -4 - 3*sqrt(1100)*-2.\nAnswer: -8 + 62*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 7. Is ((o - -6) + -8)*-67 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 767 - 397. Suppose -83 - b = -4*i. Calculate the smallest common multiple of 5 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/78 + 10\/52*6. Calculate the greatest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c**2 + 40*c - 13. Let w(z) = -9*z**2 - 41*z + 12. Let r(j) = -4*u(j) - 3*w(j). Let p be r(-8). Let d(k) = k**2 + 9*k + 5. Determine d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p = 0. Suppose 8*b - 3*b + 2*c - 221 = p, 133 = 3*b + c. What is the remainder when b is divided by 4\/(-16) + 49\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p**2. Let h(t) = -90*t + 42. Let y(k) = -2*k + 1. Suppose 2*w = -22*w - 72. Let z(c) = w*h(c) + 126*y(c). Give z(j(f)).\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106867877?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132917*x - 132943*x + 182 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(85)*-2*-3)\/((2*sqrt(720))\/sqrt(4)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27317\/95683 - 3\/13669. Let j be ((-8)\/(-90))\/(2\/5). What is the second biggest value in 10, r, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-14))\/((-36)\/(-48)). Which is the fourth biggest value? (a) 6 (b) -2\/7 (c) 0 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23163 by 102.\nAnswer: 7721\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1\/19)))\/u)\/u*(u*u**(-3\/10))\/u*u\/(u**(1\/8)\/u)*u**9 assuming u is positive.\nAnswer: u**(6477\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -25 - (-4 + 2 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttmtt. What is prob of picking 1 m and 2 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 16. Let w = -8.9867 + -0.0133. Put i, 2, w, 1 in ascending order.\nAnswer: w, i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 1)*(2 + 2202*f**2 - 26121*f + 26121*f) to t*f**2 + m*f + h and give t.\nAnswer: -4404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 268*i**3 + 5*i**4 - i**2 - 304*i**3 - 4*i**4 + (-i + 6*i - 4*i)*(-i**3 + i**3 - 2*i**3).\nAnswer: -i**4 - 36*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -4554 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2043332 - 11?\nAnswer: 2043321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 425 = -70. Let d = 134 + h. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*i - g + 12, 3*g + 1 = 2*i. Factor -1\/6 + 0*j + 1\/6*j**i.\nAnswer: (j - 1)*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 14 - 2 = 0. Suppose s*r + 5*p + 300 = 1043, p = r - 253. Suppose -148 - r = -3*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-6) - (-2)\/(-4). Suppose 0 = q - j - 7. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 * 0.02\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 37*s**2 + 280*s + 1200.\nAnswer: (s - 20)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 17058*g + 392856. Calculate k(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -16 + -1 + -1 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109540969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (5 - 2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.512 - -0.488. Is x at most 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 3. Let v be n(-3). Let g(k) = -2*k - 2. What are the prime factors of g(v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 175*c**2 - 15*c + 15. Let m(a) = -25*a**2 + 2*a - 2. Calculate 15*m(d) + 2*t(d).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + 57*w + 17. Let r be d(-14). Let f(a) = -a**2 + 2*a + 3. Give f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4836 divided by -1209.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewn when three letters picked without replacement from {e: 1, w: 5, n: 3}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 5466764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2013)\/(-180) + 6\/15 and 5\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283864 divided by 1918?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7599077400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12160 and 103740.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 2.6. Let t = 5 + w. Let u = -9 + 5. What is the biggest value in t, u, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 11518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -27 - 90. Suppose 0*h + h - 20 = -4*l, 0 = 5*h + l - 138. What is the remainder when h is divided by 4\/(6*(-3)\/(-9)) - m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64\/3040087 + -1053900883124\/142884089. Let w = z + 81225733\/10998. Let o = w - 103\/39. Find the common denominator of -97\/22 and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9004.844 decades to years.\nAnswer: 90048.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Give p(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 11*q**2 - 16*q - 29. What are the prime factors of x(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.254735318 and 5.\nAnswer: 5.254735318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 f when three letters picked without replacement from nnffnnhfnnnfnjfffj.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(392))\/(sqrt(4) + sqrt(100) + sqrt(100) + (sqrt(100) - (3*sqrt(100) + sqrt(100)))).\nAnswer: -7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnrryyyylyljlryrr. What is prob of picking 2 r and 2 l?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 + -10)\/(4\/2). Which is the third smallest value? (a) u (b) 53 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*b + 58. Let t = b + 12. Let s(r) = r**3 - r**2. Let k(y) = 7*y**3 - 5*y**2. Let h(w) = -k(w) + 6*s(w). What is h(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36708, 36723, 36738, 36753, 36768, 36783?\nAnswer: 36798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3466\/31? (a) 1 (b) -58 (c) -0.5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -911*n*q*y**2 + 4*n - 4906*q*y**2 + 2*q wrt n?\nAnswer: -911*q*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.15 - 12. Let h = g - 1. Let d = 0.05 + h. Which is the smallest value? (a) d (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 37. Let m = -43 + o. Let h = 19 + m. What is the remainder when 17 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1, -3, 174, -8667\/4 in increasing order.\nAnswer: -8667\/4, -3, 1\/4, 1, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28101 = 1948*l + 158907 for l.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-3) + (4 - 9)\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -971*m**8\/48 - 37*m**5\/15 - 5*m**4\/24 + m**3\/3 + 19*m**2 - 27. What is the third derivative of a(b) wrt b?\nAnswer: -407820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5790 is divided by 245.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/868 and 14\/155.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177621 is divided by 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 423*l - 9759. Determine h(23).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 0.1747\nAnswer: -0.003494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (2 - -6)\/(-2). Let t = o - -11. Suppose -28 - 71 = -11*n. Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -118, 0, -1\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - 2. Let s(j) = -98*j**3 + 7*j**2 - 9. Let f be s(w). What is f rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -242, -483, -724?\n\"Answer: -241*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 220399682 to the power of 1\/4, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60, 63, 70, 81?\n\"Answer: 2*t**2 - 3*t + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*x - 129*x + 59*x + (-5 + 2 + 1)*(4 - 2*x - 4))*(-1 + 2 + 2)*(1 + x - 1)*(-x**2 + 0*x**2 + 0*x**2).\nAnswer: -90*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**2 - 2*p**2)*(1 + 1 - 3)*(-3 + 3 - 2)*(1 + 1 + 0).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l - 15 = 0. Let o be (-2)\/(-3) - 236\/(-6). Suppose l*c - c - o = 0. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -53. Let x = -21 + p. Suppose 7334*o - 1144 = -7339*o + 14585*o. What is the greatest common factor of o and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.094764 to 3 decimal places.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - -14) + (-2)\/(2\/3). Which is the nearest to g? (a) 17 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 5, -31\/5700?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 4)\/(7\/(-49)). Let s(h) = h - 9. Calculate s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/1*4\/(-18)*1836\/9792?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -20373043 - 127894.\nAnswer: -20500937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.8 - 3.5. Which is the second biggest value? (a) g (b) 0.4 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22271.7 rounded to the nearest one hundred?\nAnswer: -22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 377 + -204. Let c = 173.141 - h. What is c rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -93*q - 87. Does 23 divide a(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - 1d?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 2)\/(0 - -2). Suppose -2*d = -4*o - 20, t = 3*d + 3*o - 6*o - 39. Suppose 10*l = 6*l + 8. Calculate the highest common factor of l and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((364\/(-910))\/(4\/(-5)))\/(1\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3024982 to the power of 1\/2, to the nearest integer?\nAnswer: 1739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2313 - 179 = -4*o + 4*h, -h = 5*o - 3115. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 9*x**2 + 12*x + 18. Calculate w(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - o**2 + 2*o + 347. What is the tens digit of g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -12 + 2, 5*v = 4*h + 61. Let b(l) = l**3 + l**2 - 9. Let r(m) = 1. Let w(j) = -10. Let g(n) = 12*r(n) + w(n). Calculate h*g(d) - 2*b(d).\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3098416401 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 295676304 by 3696.\nAnswer: 79999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185\/(-333)*(-3)\/(30\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -78 (b) 1 (c) 131 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 6 + 14. Let r = c + -2. What is the second derivative of -2*x + r*x**2 + x + 2*x**2 wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 7. Suppose 2 - 33 = -4*s - 5*r, 5*r = 4*s - 1. Let k be d(s). Differentiate 0*i - i - k + 6 with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*2*4\/8. Suppose 14203 = 2*u - 2*t + w*t, -2*u + t = -14197. What is u rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37410892 and 37410892 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/567 and 23?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 + 4*i**2 - 2*i - 8 + 0 - 4*i**2. Is v(6) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 7:38 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s**1\/s)\/s))\/(s**(3\/2)\/s))\/(s**9\/(s*s**(-1\/5)\/s)) assuming s is positive.\nAnswer: s**(-67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 200.6711 minutes?\nAnswer: 12040266000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29911.1 rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 570 + -47?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.8 - 23.8. What is the nearest to t in -0.1, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12990994 - 5?\nAnswer: -12990999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (14 - 18) + -47 + -20 + -3?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3176, 32879, 89114, 171875, 281156, 416951?\nAnswer: 579254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 5376162*l + 5376160.\nAnswer: 2*(l - 2688080)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**3 + 15083 - 15083 - 15*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*x + 10, 2186*u - 2189*u = 5*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttvvvvlltlllvvtttll. Give prob of picking 1 t and 1 v.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -5 - 3)*(-2)\/3. Suppose 3*c = i*f + 472, c - 110 - 46 = f. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103024 and 36848?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 354 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -212 - 16. Let w = l - -56. Let s = -172.0149 - w. What is s rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -17 (c) -2\/11 (d) 1\/45 (e) -4\/7 (f) 126\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/5)*a)\/a*a\/(a\/a**(-5)))**(-41) assuming a is positive.\nAnswer: a**(1107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -9. Let o = -4 - t. Let h = 6 - 11. What is the closest to 2 in -4\/7, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135.5449 millilitres to litres.\nAnswer: 0.1355449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 5262*l**2 - 5567. Let b(x) = -2*x. What is t(b(i))?\nAnswer: -21048*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 - 98.9. Let d be (-60)\/(-54)*(-3)\/(-5). Let t = -0.1 - -0.2. Which is the nearest to s? (a) t (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**4\/2 + x**3 + x**2\/2 + 33*x + 18. What is the second derivative of w(p) wrt p?\nAnswer: -12*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 19*a + 14. Suppose -8*q - 9 = -89. Let z be u(q). Suppose -n = -z*v - 664 - 49, 0 = 4*v + 12. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**5\/60 + n**4\/12 - 5*n**2\/2 - 1. Let j(o) be the second derivative of f(o). Let m(c) = c**2 - c. What is -3*j(g) - 6*m(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 - 14*m**2 + 6*m + 10. Does 18 divide s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -476, 147, -1, -3, -9 in ascending order.\nAnswer: -476, -9, -3, -1, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 304208, 608415, 912622, 1216829, 1521036, 1825243?\n\"Answer: 304207*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 w, and 1 n when four letters picked without replacement from ywpuknuw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 618487 divided by -5.\nAnswer: -618487\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12 - 32 = 0. Let v = -2 - r. Suppose 2*q + 20 = v*a - 2*q, 0 = 5*q + 15. What is the remainder when 7 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3103 is divided by 388.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 46 - 14 = -3*z, -4*b - 2*z = 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:21 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:48 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 2916*f + 404013. Calculate t(155).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0, -13\/9?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7016?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -147528706 less than or equal to -147528714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/39 and 29\/315900.\nAnswer: 315900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 874. Let z be 3678\/b + 2\/5. Let g = z - 2\/57. Find the common denominator of -49\/8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(-2\/21)\/(n**(1\/5)*n**(-2)) assuming n is positive.\nAnswer: n**(37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5)*3)**2*-1 - (sqrt(50)\/(sqrt(40)\/sqrt(4)) - (sqrt(5) + ((sqrt(605)*2)**2 - sqrt(605) - sqrt(605)))).\nAnswer: -22*sqrt(5) + 2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5335 = 30*z - 85*z. Let n = 331 + z. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -298135 by -59627.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12880 divided by -4?\nAnswer: -3220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-216)\/(-88))\/(-27))\/(2*1\/(-8))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59676.11 + 0.65.\nAnswer: -59675.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n - 29 - 7*n + 7*n + 11*n. Is v(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 34 + 166 = 0. Calculate the least common multiple of f and 68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akaammakapkma. What is prob of picking 2 m and 1 a?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -23. Calculate the greatest common divisor of z and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -20. Suppose -108 = -6*v + b*v. Calculate the remainder when v is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2187 and 72041319?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 130759528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**5 - 2*t**4 + 21*t - 4. Let i(z) = 5*z**5 - 7*z**4 + z**3 + 62*z - 13. Let h(p) = -7*a(p) + 2*i(p). What is the second derivative of h(c) wrt c?\nAnswer: -80*c**3 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.71 and -5?\nAnswer: 48.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39 + 6\/15*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*i + 3 = -2, -2*m = i - 12. Let h = -3 + m. Solve 3*y - 4*z + 15 = 2, z - 2 = h*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 6*a - 119. What is the greatest common factor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 9 = -q, 3*q + 2*h + 2*h - 758 = -722 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.26924 and 1.476?\nAnswer: -0.39739824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.564 + -0.913. Let y = w + 0.194. What is y rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 73*q + 320. Let u be r(-4). Solve -5*k + 21 = -w, 3*w + w - 2*k = -u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q**2 - 2*q + 4. Let u(m) = -9*m**2 - 2*m + 4. Suppose 2*y - 87 + 73 = n, -2*y = -2*n - 8. Let a be ((-2)\/((-4)\/(-14)))\/1. What is a*h(j) + n*u(j)?\nAnswer: 2*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -68, -164, -298, -470?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -7*x + 770. Suppose x*h = -7*h + 1260. Calculate the lowest common multiple of 12 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -359, -1239, -2961, -5807?\n\"Answer: -47*g**3 + 2*g**2 + 3*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4401 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 48 - 41 - 74 - 8*d + 14 + (2 - 4 + 3)*(0*d + 0*d - d).\nAnswer: -9*d - 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 16*n. Let k(r) be the first derivative of r**6\/180 - 2*r**3 - 10. Let u(c) be the third derivative of k(c). What is u(z(b))?\nAnswer: 512*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -17. Suppose a*x = 22*x - 34. Let t = x - 17. Solve -2*f = -g + 1 - t, 0 = f + 5*g + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + 0*k**4 + 0*k**4)*(-4 + 0 + 3)*(2 + 0 + 1)*(-81 + 23 + 33).\nAnswer: 75*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2681 times 0.1?\nAnswer: -0.02681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 108a?\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 260.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14630139 * -0.5\nAnswer: 7315069.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-8)*g)\/g**4)\/(g\/(g\/g**(-11\/2))*g*g**(1\/6)) assuming g is positive.\nAnswer: g**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2)*(-1 - 2 + 1)*(3 - 50 - 6)*(-1 + 0 + 0)*(-m**4 + 5*m**4 - 2*m**4).\nAnswer: -636*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-33)\/143 - 381\/(-39).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357579101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -259 and -371?\nAnswer: 96089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24650454 (base 8) to base 7\nAnswer: -64261102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 6*z**2 - 6*z + 1. What is the remainder when n(4) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 2, -7, 1\/2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -38953*r - 233693. Calculate v(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -49, -73, -97, -121, -145?\n\"Answer: -24*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (156\/(-60) + 2)\/(2\/20). Let u(r) = -r**2 - 6*r - 9. Determine u(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35427960 and 840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 772845388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4))**(2\/31)\/(k**(-1\/16)\/k)**(-8\/7) assuming k is positive.\nAnswer: k**(-639\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.5 + -2.5. Let v = z - 19. Which is the nearest to -0.1? (a) 0.2 (b) v (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 1\/3*l**3 + 0 + 2*l + 0*l**5 + 7\/360*l**6 + 1\/24*l**4 + 0*l**2. Let a(b) be the second derivative of k(b). Determine a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 - 94. Put 5, n, 44, -2 in descending order.\nAnswer: 44, 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2 - 3) + -2 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339 + 334 - 1018 - 6*z + 345.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188 and 2036624.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*j + 6, -2*j + 28 - 10 = w. Solve -i + 1 = k, -6*i = -w*i - 5*k + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2807748.87 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -707978021 to the nearest 100000.\nAnswer: -708000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Let j = v + -1.9. Let s be 8\/4*3\/(-15). Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140021479?\nAnswer: 13, 10770883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96\/77 - -9\/11. Which is the biggest value? (a) k (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(108)\/sqrt(96))\/(sqrt(600) + sqrt(600) + (sqrt(600) - (sqrt(600) + -1*sqrt(600) + sqrt(600) - sqrt(600))) - sqrt(6))*1)**2.\nAnswer: sqrt(3)\/29 + 53827\/13456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**3 + 10*w**2 - 11*w - 4. Let a(p) = -10*p**3 - 21*p**2 + 23*p + 8. Let i = -74 + 81. Let m(f) = i*o(f) + 3*a(f). Factor m(j).\nAnswer: (j - 1)*(j + 2)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2947 divided by -6\nAnswer: -2947\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2652, -2661, -2676, -2697, -2724, -2757?\n\"Answer: -3*t**2 - 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2, 4, -33, 21, -9 in descending order.\nAnswer: 21, 4, -2, -9, -24, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17, -2\/409, 4, 93 in decreasing order.\nAnswer: 93, 4, -2\/409, -4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - -5. Differentiate o - 42*o + 7*o - k with respect to o.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*q - 2*x, 5*q - 27 = 9*q + 5*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -753666 by -10.\nAnswer: 376833\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 375 - 369. Calculate the remainder when 27 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84559 times 31?\nAnswer: 2621329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377809497.\nAnswer: 3, 13, 3229141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*i - 3, -5*n - 1 + 10 = 4*i. Let s be (3 + -4)*(i - 1). Let g = s + 30. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5471 (base 13) to base 3\nAnswer: -121010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) 4 (c) 3 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 441*n**2 - 6*n - 42. Let z = -473 - -477. Let k(a) = 63*a**2 - a - 6. Let g(d) = z*l(d) - 27*k(d). What is the second derivative of g(t) wrt t?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 3*g**2 + 11*g + 9. Let k be u(5). Solve 0 = 2*w - 9*w - k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -13 + 100\/12 - 62\/(-3). Solve -27 = -2*x - o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -0.039.\nAnswer: 0.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2. Let b(h) = 26*h**2 - 3. Let c(k) = 53*k**2 - 5. Let m(j) = -5*b(j) + 3*c(j). Determine g(m(s)).\nAnswer: 1682*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**4 - 4*i**4 + 2*i**4 + (7 + i - 5 + 1)*(3*i**3 - i**2 + i**2) as y*i**3 + h + l*i**2 + o*i**4 + b*i and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7828.737 minutes to seconds.\nAnswer: 469724.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*z**3 + 231*z**3 + 35*z**3)*(5 - 6 + 0) to y + i*z**3 + o*z + w*z**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38094 divided by -3?\nAnswer: -12698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -116, -646, -1992, -4532, -8644, -14706, -23096, -34192?\n\"Answer: -63*j**3 - 30*j**2 + j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {n: 1, e: 6, t: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rffffrfff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/272564 and 79\/19488326?\nAnswer: 38976652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826521.\nAnswer: 3, 137, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/10)\/(1\/(-5)). Suppose -2*p = -p - 4, 4*r - o*p + 16 = 0. Let n = r + 5. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 21 = 4*x + 7*i, 2*i - 38 = -0*x - 10*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 59*c**3 - 57*c**3 + 100*c + 57*c**2 - 27*c**2 = 0. Calculate c.\nAnswer: -10, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 3. Suppose 5*m + h = -0*m - 25, 4*m + 20 = 3*h. Let s(o) = o**3 + 4*o**2 - o + 7. Let n be s(m). Let t = -9 - n. Give f(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)\/(d\/(d**10*d)) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1557172 divided by -4.\nAnswer: 389293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 105, 368, 821, 1470, 2321?\n\"Answer: c**3 + 89*c**2 - 11*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4084 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:18 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*b**2*m**2*n**2 - 2*b**2*n**2 + 15*b**2*n*v**2 - 2*b*m**2*n*v**2 + 2*n**2*v + n*v wrt m?\nAnswer: 76*b**2*m*n**2 - 4*b*m*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -211.64055 rounded to the nearest integer?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**2 + 5*y - 20. Calculate s(-4).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x - 25. Let s be j(-5). Sort 1, 146, s, 2.\nAnswer: 1, 2, s, 146","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50094 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.41100918968 from -30.\nAnswer: -30.41100918968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/36)\/3)\/(465\/(-232) - -11 - 9).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:21 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m - 25 = 0. Suppose -2*n = u - 22, 4*u + 4*n - 45 - 23 = 0. Suppose 0 = 5*a + m*q - 30, -q + u = 3*q. Solve 12 = 7*j - a*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 4*f**2 - f. Let o be v(-3). Solve 4*p = -p + 4*z + 29, -4*p = -z - o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36564, 72755, 108946?\n\"Answer: 36191*u + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose -3*c = -d - 22, 4*c = -d + q*d + 28. What is the highest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*r**5 - 55*r**5 + 21*r**5 + (0*r**2 + 0*r**2 - r**2)*(2*r**3 - 4*r**3 - r**3) + 4*r**2 - 4*r**2 - r**5.\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**10\/7560 - o**6\/180 - o**4\/4 - 3*o. Let x(b) be the third derivative of u(b). Find the second derivative of x(k) wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3386496 and 37?\nAnswer: 3386533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 7. Let p(t) = -13*t**2 - 126*t. Calculate p(a(b)).\nAnswer: -13*b**2 - 56*b + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -1)*(-1284)\/(-8). Let f = a - -99. Let h = -130 - f. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2427)\/(-18) - 2\/(-12). Suppose -171 = -5*c + 4*y, y + 105 = 4*c - 34. Suppose c = -4*f + j. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 88170*n**2 + n + 11*n - 4 - n**3 - 88159*n**2. Give i(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 75324544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 850 = -34*p, -4*p + 0*p - 100 = -i - 0*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r + 67. Let f(h) = -2*h + 1. Let o(g) = 4*f(g) + p(g). Let z be o(-23). What is the highest common factor of z and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msssssmmsssmssms. What is prob of picking 3 s?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -87. Let q = 238 - 320. Let p = r - q. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 17*r - 6. Let x be d(-9). Let m be (0 - (-1 - -3)) + x. Put 3, m, -5 in ascending order.\nAnswer: -5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -291*b + 7270. Let c be h(25). Let y be ((-40)\/(-16))\/((-10)\/(-24)). Let a(k) = -4*k - 6. Let x(r) = -4*r - 7. Determine c*x(q) + y*a(q).\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = -0*u. Let i = 12 - 7. Suppose -3*t = -i*t + 48. Solve -u*o - 15 = -8*o, -3*o = -5*r - t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-84)\/630*5. Suppose -x = -5*l - 5*x + 60, -60 = -5*l + 2*x. Solve 0 = -l*y + 8*y - t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*x - 0. Let q(o) = o**2 + 2*o. Does 8 divide q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387703731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2*m + 4, -2*l + 5*m - 10 = 2*l. Let n = -465 - -461. What is the nearest to l in -2\/21, 5, n?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a - 408. Let n = a - -145. Calculate the remainder when n is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -290 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90? (a) -4 (b) 0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*o**2 + 61*o**2 - 162*o**2 - 3.\nAnswer: -165*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 30, -5, -2\/21, -3\/27962?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, -1, 4, -8, 3 in ascending order.\nAnswer: -196, -8, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -80, 6, -1\/2, -2\/13 in ascending order.\nAnswer: -80, -4, -1\/2, -2\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)\/(d**(-33)*d*d))\/((d\/(d**32*d))\/(d\/(d*d**(-2\/69)*d)*d)))**(-1\/24) assuming d is positive.\nAnswer: d**(-30581\/11592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.998994 nanoseconds in minutes?\nAnswer: 0.0000000002166499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 16*n. Let o be j(-16). Solve -2*s + 6 = s + 3*v, o = 4*s - 2*v - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + ((-284)\/13 - (-24)\/(-156)). Let h(i) = -i**2 - 17*i + 24. List the prime factors of h(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(-7))*v*(v\/v**(1\/5)*v)\/v*(v*v**(1\/5))\/v*v*v**(9\/5) assuming v is positive.\nAnswer: v**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:48 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8149590 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*j = 5*i - 79*j - 236, 2*i - 95 = -j. Suppose 0*f + 2*f - 24 = 0. Calculate the remainder when i is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1813 + 1859. Solve 14*q = -p - 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 2*y - 3. Give w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 1. Let t be (5 - 3)*50\/(-1). Let v be (-9)\/(-5)*t\/(-12). Suppose 5*w + 0*w + v = 0. Give h(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 95, 189, 285, 383, 483, 585, 689?\n\"Answer: o**2 + 91*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 3. Is g(4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 14*k**3 + 8*k**2 - 8. Let g(j) = -9*j**3 - 5*j**2 + 5. Suppose -12 = -5*l - n + 2*n, 6 = 3*l - n. Suppose -5 = -4*b + l*b. Give b*r(p) + 8*g(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-7) - (-138)\/(-308) and 11\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*k = 3258, -30*k + 34*k - 804 = -m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 4*d + 5*u, -d + 6*u - u = -80. Let x be (-3)\/(-6) + (-15)\/d. Let 0*m**3 - 2\/7*m + x*m**5 + 0 + 4\/7*m**2 - 4\/7*m**4 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4858013797?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3500*n**3 - 94*n**2 - 27*n wrt n.\nAnswer: -21000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = o + 4*o - 18159, d - 2*o - 18124 = 0. Let g = d + -43434. Round g to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31481866389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 4)*(0*w - 2*w + 0*w)*(2*w + 1 - 1)*(139*w**2 - 70*w**2 - 72*w**2).\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*y + 35984, 4*y = -17 + 1. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1288*l + 1932 = -1204*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5 - 17. Let h be (r + 0)*(-2)\/12. Which is smaller: h or 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 5*c + 83 = 0. Calculate the remainder when c is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/4)\/(15\/(-40)). Let z = w + -16. Which is the second biggest value? (a) 1 (b) z (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139529727.\nAnswer: 3, 17, 911959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 + 1185133*x**3 - 351135649488*x**2 + 351134464356*x = 0. What is x?\nAnswer: 0, 1, 592566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 0)**2*3 + 1*sqrt(847) + (sqrt(112) + 1)**2.\nAnswer: 19*sqrt(7) + 2654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 25 = -300. Let w = b - -17. What are the prime factors of (2\/(-4))\/(w\/1424)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 2. Let v be o(-3). Let b(s) = -46*s - 276. Let p be b(-6). Suppose p = 10*m - v*m. Solve m = 4*w - w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.85902cm to nanometers.\nAnswer: 48590200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 8*o - 2*o)*(-5*o - 3*o + o)*(4*o + 0*o + 2*o).\nAnswer: 294*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j - 8. Let p(v) = v - 3 - 2*v + 3*v. Suppose 4*s + 21 = m, -77*m + 15 = -4*s - 74*m. Determine s*x(t) + 17*p(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -30, -43?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*t - t**2 - 314*t + 132*t - 561 to the form z + a*t + v*t**2 and give z.\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 24*z**2 + 26*z + 11. What is the remainder when d(23) is divided by 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - 38. Let a be 4\/(-6) - u\/9. Suppose a + 9 = v. Solve 0 = 4*o + v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134\/5 - -809\/30. Sort 203, -5, -0.2, u, -1 in ascending order.\nAnswer: -5, -1, -0.2, u, 203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/30 and 163\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 182815.4 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 213*t + 471. What is r(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 111. Sort 27, u, 4 in ascending order.\nAnswer: u, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 17 = -3. Is (262\/(-3))\/(s\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758619 is divided by 332?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 4*v + 1. Calculate j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 19*r**2 - r. Suppose 2 = 5*h - 5*t - 3, 4*h - t = 4. Calculate the remainder when 35 is divided by a(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (4 + (sqrt(704) - sqrt(704)*3) + sqrt(704)) - (sqrt(704)*-3*-2)**2) + (1*sqrt(11)*1*-5 - (1 + sqrt(891) + sqrt(891) + -1)).\nAnswer: -25348 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31696 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2341808 + -1332417. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71\/(-994) - 83974\/(-28)?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/13 or -1\/256?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24*-1*21\/56\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w\/(w*w**0)*w)**(-10\/7))**(1\/86)*(w*w**(1\/6)*w**6)\/((w**(-1)\/w)\/w)**(-15\/8) assuming w is positive.\nAnswer: w**(10657\/7224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -1\/4 (c) 11211\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 333541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**3 - 264243*g**2 + 39133488*g.\nAnswer: 36*g - 528486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 37347612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004 (base 9) in base 11?\nAnswer: 110a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 4*w**2 - 4*w - 5. What is m(-6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 15*z - 1. Let y be j(-15). Let t = 1 + y. Suppose t*x - 8 = -x. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01831 times -0.071?\nAnswer: 0.00130001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.33 + -6.53. Let y = u - -6.2. Which is the closest to -5? (a) -3 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-1))*m)**(-14\/5))**(-11\/2) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**4\/8 - 3*x**2. Let d(p) = 2*p**2 - 3. Let i(h) = 2*h**2 + 75*h - 3 + 1 - 75*h. Let m(r) = -2*d(r) + 3*i(r). Give q(m(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -11. Let o be 3\/(-3*d)*-51. Suppose -l + 5*q = 2*l - 83, -l = q - o. Solve -4*g - l = -5*a, -2*g + 2 - 8 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {g: 1, d: 1, m: 6, e: 2, j: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*b = 3*m + 18, m - 3*b + 9 = 0. Calculate the common denominator of 89\/4 and (-2)\/m - 392\/(-99).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + 2*b**4 - 2*b**4)*(2*b + b - b) - b**5 - b**3 + b**3 + 2*b**5 - 2*b**5 + 2*b**5 + (0*b + 3*b - b)*(2*b - 2*b + 2*b**4).\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*m**3 + 46*m**3 + m - 17*m**3 - 18*m**3 - 16*m**3 to the form l*m + n*m**3 + g + u*m**2 and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/23750 and 119\/99631250?\nAnswer: 99631250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(360) - sqrt(360)) + sqrt(40))\/(2*sqrt(200) - sqrt(200)).\nAnswer: 7*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1897687 - -1897695.7999925. Let d = -8.8 + f. Round d to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 + -7 - ((-284)\/(-26) - 4). Sort m, 50, 0.5, 5 in ascending order.\nAnswer: m, 0.5, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*j - 211983 - 6751, -2*t + j + 87495 = 0. What is the highest common divisor of 67 and t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*m - 1 = -0*m, 3*m = -4*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(130))\/sqrt(10) + sqrt(13))*-4*6.\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, e: 4, y: 4, z: 2}. What is prob of sequence cczc?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(13\/4)\/((f\/(f**(-3\/11)\/f))\/f)*(f*f**4*f*f)\/((f\/(f**17\/f))\/f) assuming f is positive.\nAnswer: f**(1099\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = 5*l, -4 = -l + 4*j + 8. Let t be 5\/(1*(-6 + 5)). Suppose 0 = -5*p - 20, g + 3*g = 4*p + 8. Sort l, g, t.\nAnswer: t, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/5*(-4)\/(-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*p**3 - 2*a*p**2 + 2730*a - 397*p**3 + 2*p**2 + 2*p wrt p.\nAnswer: -12*a - 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**4\/4 - 2*n**3 + 5*n**2\/2 + 2*n + 278. Let a be 2\/5 - (-308)\/(-20). Let m = -10 - a. Determine v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = f - 8592, -60*f = -5*z - 63*f + 14320. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**3\/3 + 3*c**2\/2 + 6. Let f be w(3). Solve f = -j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = 27*m - 1350. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169.4 + -158.4. Put -0.1, w, 1\/10, 1 in descending order.\nAnswer: w, 1, 1\/10, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232906\/33 + -7057. What is the common denominator of ((-1)\/120)\/((-2)\/635) and p?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*0.76906.\nAnswer: -1.615026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24960 and 22710.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 466\/211 + -94217\/27852. What is the common denominator of (41151\/(-660) - -63)*-14 and t?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -82?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**5\/70 + j**4\/21 - j**3\/21 - 2*j**2\/7 - 8*j. Factor b(s).\nAnswer: 2*(s - 1)*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k. Let x(i) be the third derivative of i**7\/2520 + i**4\/12 - 3*i**2. Let y(g) be the second derivative of x(g). Give f(y(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*l - 2021296 = 0, d + 1372*l - 505317 = 1374*l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u. Let v(s) be the second derivative of -s**5\/10 - 3*s**2\/2 - 6*s. Let b(n) be the first derivative of v(n). What is b(c(m))?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -21.1. Let q = 4.9 + r. Let l = q + -6.004. What is l rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18*a - 3. Let p(k) = -1815*k - 107. Give p(y(f)).\nAnswer: 32670*f + 5338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.72 take away 0.75?\nAnswer: -163.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 10, -2*u + 9*y - 10*y = -5684. Is u 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 rpqttgt. Give prob of picking 1 q and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-3)\/(-6) + 0) - (-96)\/(-24). What is the fourth smallest value in f, 0.5, 4, -1.81?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172905.\nAnswer: 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/10525 and -65\/1684.\nAnswer: 42100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.71373mg in kilograms?\nAnswer: 0.00005271373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 + -563\/4. Determine u, given that -5\/2*u**2 - 1\/4 + 5\/4*u + r*u**5 - 5\/4*u**4 + 5\/2*u**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 5. Let z be f(-14). Suppose -4*p = -z*p + 10. What is the third derivative of 5*v**4 + v**4 + 0*v**4 - 36*v**p + 29*v**2 wrt v?\nAnswer: 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from hqxehgev.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 1847620947568.\nAnswer: -1847620947567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccucuucccucccc. Give prob of sequence ucuu.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -3*l - 5*j, 4*j + 124 = -l - 2*l. Let p = l - -44. Let x be (-6)\/4 + 44\/p. Solve 0 = 2*g + 2 + x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1918 and 805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -2\/7, -1, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-10))\/(2\/30). Let m be (f\/(-10))\/(6\/15). Solve 5*a = -m*l + 3*l - 10, 0 = 2*a - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -733*o**3\/3 + 1091*o**2\/2 + 1520*o. Differentiate j(u) wrt u.\nAnswer: -1466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10155 times 5\nAnswer: 50775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3011 + -2811. Calculate the greatest common factor of 14200 and s.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -29*w**3 + w**2 - 7*w. Let c(u) = 14*u**3 + 3*u. Let y(r) = -5*c(r) - 2*l(r). Let f(b) = -b - 11. Let h be f(-10). What is the units digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -17*m**2 + 154*m - 10. What is x(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 4*t**2 - t + 8. Let a be w(-4). Solve -k + 4*k = -a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*o - 37170 = 7*o, -a - 5*o - 18576 = 0. Let z = a + 446035\/24. Let j = 8\/1895 - 172573\/30320. What is the common denominator of z and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12020 (base 3) to base 14.\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 44. Let i(z) = -z**2 + 20*z - 51. Let l be i(18). Let m be (-3)\/l + (-6)\/50. What is the smallest value in -1.3, 2, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(1\/3)*p*p)**12\/(p**(-1\/3))**32)\/(p*p**(-7)*p\/((p*p**(-2\/5))\/p))**(31\/3) assuming p is positive.\nAnswer: p**(511\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b + 8. Let z(o) = -o + 1. Suppose t + t - 3*c + 6 = 0, -3*t - 4*c - 26 = 0. Let p(i) = t*z(i) + 2*x(i). What is the derivative of p(a) wrt a?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1117\/10 - -425\/4. What is the common denominator of 111\/50 and o?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*f**3 - 47403*f**2 - 447558*f wrt f?\nAnswer: 66*f - 94806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1480.657 and 26.4.\nAnswer: 1507.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 216031\/926 and 233 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**3 + 768*v**2 - 763*v + 260. Give z(95).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/268626 and 21\/582023?\nAnswer: 3492138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/198*108\/20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**4)\/(p*p*p**11*p*p)*p\/(p\/(p**(-1\/11)*p))*p**(-7\/4))**(-13) assuming p is positive.\nAnswer: p**(6201\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11217647 and 2246.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5329 = 4*l - 5*o, 4*l - 5333 = 5*o. What are the prime factors of l?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*88\/(-24)*28\/(-88)*4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xotoottgtggogdxttt. Give prob of sequence gxdt.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/28)\/i**(-3\/11))\/((i*i**(-5\/6))\/(i\/(i\/(i**43*i)))) assuming i is positive.\nAnswer: i**(40721\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304 + 611. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h + 2. Let n(s) = -4*s**3 - s**2 - 28*s + 33. What is n(b) - 7*v(b)?\nAnswer: -4*b**3 - b**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/93))**(-20)\/(x*x\/(x*x**(-41))*x**(6\/5)) assuming x is positive.\nAnswer: x**(-29188\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5554*l - 216574. Calculate n(-39).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 5 - (5 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1007, 1018, 1043, 1088, 1159, 1262, 1403, 1588?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Let z = 8 + -2. What is the remainder when z is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 5*s**2 + 7*s - 7. Let f be d(4). Suppose -116776 - 113224 = f*q. Round q to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -5 (c) 0.01 (d) -0.5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*i + 8*i + 6*i as b*i + w and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 13*g**2 + 14*g + 4. Let j be b(-14). Put 0, -20, j, -5 in increasing order.\nAnswer: -20, -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 10 + 10 = -4*q, -4*q = 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) - (0 + sqrt(75))*5))*3 - (-2*sqrt(75) + sqrt(75))*2*-2)**2.\nAnswer: 9075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 2\/53?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-63)\/3*(-2)\/(-6). Let g = k - -7. What is the remainder when (g + (-56)\/6)*-3 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3159 - 143*p**2 + 3159 to h*p + r*p**2 + x and give r.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522897?\nAnswer: 1522897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (-7 - -2 - 1003). Let f = -534 + s. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4 + 6828*s**3 - 41043*s**2 + 75288*s - 41076 = 0. Calculate s.\nAnswer: -2282, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + l**4 - l + 7*l**4 + 2*l**2 - 3*l**4 + l**4 to the form o + h*l + m*l**2 + j*l**3 + b*l**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -2\/945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {b: 2, d: 1, h: 1, f: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Let y(k) = 41*k. Calculate y(l(m)).\nAnswer: 41*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*g + 9, 5*g + 9 = 5*t - 6. Suppose h = t*u - 4886, 5*u - 1602 = 4*u - 5*h. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 bigger than -892096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {l: 1, p: 3, m: 3, s: 1, d: 5}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 + 5*z**3 - 3*z**3 + z**2. Let u be n(0). Suppose 5*h = -u*h + 80. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003910382 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 2, p: 1, m: 1, t: 2, r: 2}. Give prob of sequence ri.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 97.4641 and 608?\nAnswer: 59258.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(((-20)\/(-40))\/((-1)\/126*3)))\/(-2)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 - 462\/(-105). Let h(s) = -s + 5*s - p*s - 2*s. Let t(d) = -2*d. Calculate t(h(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-198)\/(-8))\/(4\/(1408\/(-132)))).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7513725 is divided by 5247?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -412.4 + 355.82. Let s = 57 + i. Let u = s - 0.11. Which is the second biggest value? (a) 1\/7 (b) u (c) -1\/11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/30630 and -37\/245040.\nAnswer: 245040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*n + 25820. Suppose -3*p - 4947 = 2*m, 3*m + 970 = -3*p - n. What is the units digit of -2*(-1)\/(-3)*m\/28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:17 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3214, 5926, 8638, 11350, 14062, 16774?\nAnswer: 19486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1051?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + bb56?\nAnswer: bb52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((48\/4)\/(-4))\/(-18))\/(6\/(-9)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7181 is divided by 3587.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 18279*x - 654 + 13347*x - 670 + 1324 as m*x + q and give m.\nAnswer: 31626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1929 by -643.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -21217?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 + 271*r**4\/2 + 5280*r**3 + 28583*r**2\/2 - 44755*r - 12000 = 0.\nAnswer: -25, -5, -1\/4, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2)*-2 - (sqrt(132)\/sqrt(6))\/sqrt(11).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 54 = -11*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*o + 27*a - 22*a, -2*o - 2*a + 6 = 0. What is the fourth smallest value in 1.2, 0.3, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 578140038*x**5 - 535659582*x?\nAnswer: 11562800760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6.995. Let s be 3\/15 + (-161)\/105. Put x, 2\/5, s in descending order.\nAnswer: 2\/5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - c)*(-3*c**2 - c**2 + 6*c**2) - 4*c**3 + c**3 + c**3 - 5*c**3 - 23 - 12*c**3 + 16*c**3 - 4*c**3 - 2*c**3 - 5*c**3.\nAnswer: -16*c**3 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191 - 194.21. What is i rounded to 1 dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -3620?\nAnswer: 3612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1714 - (3 - (-42)\/(-12))*-16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7402911.\nAnswer: 3, 2467637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3019688.\nAnswer: 2, 7, 53923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -6*a + 18. What are the prime factors of 3\/2*(a + 30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 n when three letters picked without replacement from ennneeneneeen?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {x: 10, l: 6, z: 1}.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**2 + 6*a + 26. Let j(h) = -5*h**2 + 2*h + 13. Give -11*j(v) + 6*l(v).\nAnswer: v**2 + 14*v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2578 and 10?\nAnswer: 12890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**5\/60 + u**4\/24 - 6*u**2. Find the second derivative of y(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10566 and 14?\nAnswer: 73962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 115. Let a(p) = p - 115. Determine 4*a(f) + 5*d(f).\nAnswer: -f + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x + 12. Suppose -x*j = 4*v - 20 + 8, -3*v - j + 11 = 0. Suppose v*f = 30 + 2. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:04 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92066, 184168, 276278, 368402, 460546, 552716, 644918, 737158?\n\"Answer: d**3 - 2*d**2 + 92101*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-4)*((-88)\/(-12))\/22?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 748100 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*w**2 - 5*w + 4*w**2 + 8*w + (w + 4 - 4)*(-1 + 1 - 2*w) - 4*w + w**2 + 4*w as x*w**2 + j + r*w and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2377, 2386, 2383, 2362, 2317?\nAnswer: 2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 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: Calculate (-942)\/210 - ((-64)\/224 - (-8)\/14)*-1.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107526746 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + o + 3. Suppose 2*w + 28 + 26 = 0. Calculate the least common multiple of r(-3) and 9*3*(-6)\/w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 33*k**2 + k + 35. Let g be c(-33). Let r(a) = -2*a**2 + a - 1. Calculate r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 9. Let d(y) = y**3 - 19*y**2 - 23*y - 6. Let g be d(20). Let r = g + 63. Let u = 3 - r. Determine i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1226, -1222, -1218, -1214?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-140)\/(-35) - (-117 - 1). Let f = d - 116. Solve 4*p - 3*g - f + 16 = 0, -3*g = 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f**3 + 5*f**2 - 5*f - 5. Let w(v) = -5*v**3 + 2*v**2 - 2*v - 2. What is 2*b(a) - 5*w(a)?\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*y**3 - 37*y**3 - 34*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 13. Let u(k) = 3*k**3 - k**2 + 4*k + 5. Let b = 25 - 18. Let w(v) = 5*v**3 - 3*v**2 + 9*v + 11. Let c(d) = b*u(d) - 4*w(d). Give c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*k**2 - 30*k**2 + 17*k**2)*(-7*k**2 + 1 - 1) in the form y*k**3 + d*k**2 + w + i*k + o*k**4 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -0.713?\nAnswer: -2.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20604*j**2 + 20844*j**2 - 41480*j**2.\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from rccrrrrccrcrr?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-8)\/(-60)*-12)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - z. Suppose 5*f - 2*k - 1 - 4 = 0, 5*k = -3*f + 3. Let x be w(f). Let c be (-10)\/8 - 1\/x. What is the nearest to 0 in c, -2\/13, -3\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 14. Let r be p(-8). Suppose -3*q + r*q = 6. Suppose -u + 6*u = t - q, -5*t = 4*u - 126. Calculate the highest common divisor of t and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 2:44 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32477.96 kilometers in micrometers?\nAnswer: 32477960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0*h**7 + 1\/28*h**8 + 0*h**3 + 0*h**2 - 4*h + 0*h**5 + 0*h**6 + 0 + 1\/6*h**4. Find the third derivative of t(w) wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4313*p - 4308*p - 23790. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -14. Let g be (-1521)\/108 - 8\/(-96). Does g = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 70\/543?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14*g - 14)*(2*g**4 - g**4 + 0*g**4).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i + 38*i + 5*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9784.563 and -4.\nAnswer: -9788.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5476 and 11?\nAnswer: 60236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 20. Determine y(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139734377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, -605, -946, -1321, -1730, -2173?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(75) + 1)*-5 - (-4*(-1 + 6*(sqrt(75) + 3 + sqrt(75) + sqrt(75) - sqrt(75))))**2.\nAnswer: -177454 - 32340*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 29 + 2*t - 52*t**2 - 182*t**2.\nAnswer: -234*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815693 a multiple of 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b - b**2 - 2 + 1 + 7 - 3. Let r(p) = p**2 - 6*p + 3. Let j be r(7). Determine f(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 631862 and 54362.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Suppose d*b + 28 = -82. Let w = 87 + b. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 75716.\nAnswer: -2\/18929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 1, w: 1, r: 1, u: 2, n: 1}. What is prob of sequence wr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4.12 (b) -2\/37 (c) 4 (d) 3 (e) 0.4 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*m - 2302 = 0, v = -4*v + 4*m + 2882. Suppose 6*s + v = 1834. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 572 + -392. Suppose -3*p = -7*p + c. Suppose -2*q + p = q. 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 24472\/138*188\/(-7896)?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w + 7*w = -150 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -1331573?\nAnswer: 1331569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/27)\/1*1170\/(-1560)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.94895 + 0.05105. Which is the nearest to h? (a) 3 (b) 2 (c) 1\/8 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18.9446, 49.\nAnswer: -3, 18.9446, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1186678*v. Let s(o) = 2*o**2 + 46*o. Give c(s(y)).\nAnswer: -2373356*y**2 - 54587188*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + 1 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j + 4. Let f(o) = 1. Give 5*f(i) - l(i).\nAnswer: 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136626\/5 + -964601\/30. Let j = p + 4816. Calculate the common denominator of j and -39\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 11*l**2 + l + 10. Calculate the remainder when 145 is divided by f(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:16 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9865 (b) -2\/11 (c) -2\/5 (d) -2\/3 (e) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z - 1. Suppose 0 = 2*y - 5*y - i + 5, 5*y + i = 11. Suppose v + v + y*b = 7, 1 = v - b. What are the prime factors of c(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*6\/15*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1918 + 2020. Calculate the remainder when i is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6587.549 meters?\nAnswer: 658754.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 5*q. Let r be g(8). Let p = r + -14. Let i be ((-1)\/5)\/((-8)\/p). What is the nearest to i in 1, -0.4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*s**3 - 310\/9*s**2 - 4250\/3*s - 6250 = 0. Calculate s.\nAnswer: -75, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1295910 divided by -595?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116015 is divided by 198?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuruttuuttuuruut. What is prob of sequence uru?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/((3*sqrt(110))\/sqrt(10)))\/((sqrt(486) + sqrt(486)*-2)*-3 + sqrt(486)).\nAnswer: sqrt(5)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17497730*l**4 + 2034203*l**2?\nAnswer: -419945520*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114787073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 6:42 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, o: 2, b: 3, j: 8}. What is prob of picking 1 z and 3 b?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11629 - 11627. Which is smaller: w or -687?\nAnswer: -687","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0544058 decades?\nAnswer: 0.00544058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/50 - ((-8)\/5 - 0). Let y be i\/6 - (-1890510041)\/(-123). What is y rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-15))\/((-3)\/(-90)*-2). Let j be 0\/1*(-1 + c + -4). Calculate the remainder when (-40)\/(j + -2)*8\/16 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5121375923?\nAnswer: 229, 22364087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**2*x**3 + s**2*x**2 - 266*s*x**4 + s*x**2 + 5*x**2 wrt x.\nAnswer: 12*s**2 - 6384*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27773384329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 340859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1170814*b**5 - 225*b**3 + 432173216*b**2.\nAnswer: 70248840*b**2 - 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/6*(-6)\/(-2). Let g = -1373.8 + 1374.8. Which is the second smallest value? (a) g (b) 2 (c) 5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142796538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 51056\nAnswer: -5105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/4 - 2*j**3\/3 - 3*j**2\/2 - 2*j + 2. Let b be i(-2). Suppose -b*k = -0*k - 28. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {y: 1, z: 2, g: 2, b: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566338950?\nAnswer: 2, 5, 11, 199, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 429*y**2 - 145700*y - 93477939?\nAnswer: 858*y - 145700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (sqrt(325) - (3 + ((sqrt(325) + sqrt(325)*3 - sqrt(325) - sqrt(325) - sqrt(325) - sqrt(325)) + sqrt(325) - sqrt(325)))) + -2)**2 + 1.\nAnswer: -50*sqrt(13) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Suppose n + 2 = 2*w, 0 = 5*n + 3*w - 4*w - 17. Let a = n - 2. Let o(v) = 1. What is a*c(d) - 2*o(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 69\/92 - (-1843)\/(-4). Let v = 487 + m. Calculate the smallest common multiple of 9 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 11*a = -13*a + a. Factor -3\/5*v**2 + a - 6\/5*v.\nAnswer: -3*v*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/3 of a year in months?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*j**3 - 4*j**3 - j**3 + 3*j**3 + 5*j**6 - 48*j**2 + 69*j**2 wrt j?\nAnswer: 600*j**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1500611?\nAnswer: -1500613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2 - 0) + 9)\/1. Suppose 417*h + 51 = 434*h. Let a(o) = -o**2 - 2 - 2*o - t*o + 4*o - h. Determine a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide -20 - (-11 - 1481 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1990*o**2 + 1874*o**2 - 3146*o**2)*(-o**2 - 3*o**2 - 4*o**2) in the form c*o**3 + g*o + w*o**4 + j*o**2 + h and give w.\nAnswer: -5744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**8\/4032 - b**7\/336 + b**6\/72 - 3*b**5\/10 + 8*b**2. Let i(x) be the third derivative of w(x). Factor i(j).\nAnswer: 5*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45)\/6)\/(9\/(-6)). Suppose -v*w + 5 = -2*j, -3*j + 0*j + 2*w + 9 = 0. Differentiate 7*f**4 - 17 + 2*f**4 + j*f**4 with respect to f.\nAnswer: 56*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**5 - 5*x**5 + x**5 + (16*x - 15*x - 24*x)*(2*x + 0*x - x)*(-2*x**3 + x**3 + 3*x**3).\nAnswer: -44*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - 3 - (15 - (1 + 2 - -6))) + 1.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(-s - 2*s + 5*s) + (-2 + 2 - 3*s)*(116 - 124 + 67).\nAnswer: -175*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 379381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-72)\/(-20)*(-3)\/8. Let d = -1\/60 - z. Let p = -0.17 - -0.17. What is the nearest to p in d, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s**2 + 2*s + 19. Let c be o(0). Calculate the highest common divisor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-18)\/8)\/3)\/(18\/(-48)). Find the third derivative of -15805*o**2 + 15787*o**l - 7*o**3 + o**3 wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - w = -16, -29 = -v - 2*v - 5*w. Suppose 0 = v*u + 4*j - 8, 2 = -2*u + 3*j - 21. Sort -2, -3, u in descending order.\nAnswer: -2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 - -3. Let h = 155\/3 + -2021\/39. Let i = 0.41 + -0.01. Which is the third biggest value? (a) o (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3876 bigger than 277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2442 divide 664707516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -13393992 >= -13393992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/39, 0.03, -4.52, 0.2 in increasing order.\nAnswer: -4.52, 1\/39, 0.03, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*z + 130*z = -3*g + 21, -z + 25 = 3*g. Determine v so that g*v**2 + 116\/3*v**3 + 0*v + 0 - 20\/3*v**4 = 0.\nAnswer: -1\/5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 r when three letters picked without replacement from {f: 2, r: 4, g: 4, b: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 7, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**3 - 30*u**3 - 30*u**3 + 139*u**3 - 21*u**3 - 29*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:51 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/15)\/((-2)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 13. Calculate the least common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/2 + 870*n**3 + 537979*n**2\/2 + 1326720*n + 1058600 = 0. Calculate n.\nAnswer: -1340, -395, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -9. Let k be (10*(-8)\/(-200))\/(1\/5). Suppose 3*s - g + 40 = 8*s, -2*s + 4*g = -38. Solve 0*l = -l - k*v - s, 3*l - 4*v = u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 + -118. Solve -n = -2*t - t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrqnbrmbnnnnbh. Give prob of picking 1 h and 1 n.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 46 - 109 = -z - 44, -14*z = q - 15*z + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-560)\/6*(-11)\/22. Let u = 47 - r. Let d = 4 - 6. Which is the third biggest value? (a) d (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 69*a - 70*a + 10 = 0, -4 = -a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176473 = 87*d - 749468. Is d a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 66\/145265 and -23\/35.\nAnswer: 1016855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 7*c**2 + 10*c + 8. Give k(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17600 <= 35197\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -557 divided by -104?\nAnswer: 557\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 13, v: 3}. What is prob of sequence nv?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/968 and ((-6)\/(-198))\/(-2 - -2 - 99\/459)?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9290 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -26. Suppose 6*n + 140 = 2*h + 8*n, 336 = z*h - 2*n. Suppose -3*k + h = -61. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-182)\/880 + (-91)\/((-25025)\/50)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y\/y**11*y)*y*y**(-1\/15))\/(y*y\/((y**(-7\/6)*y)\/y)*y**(2\/31)))**21 assuming y is positive.\nAnswer: y**(63161\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 7*r + 6. Let t(o) = -733*o + 730*o + 2*o**2 - 10 - 9 + 4. Let d be t(3). Give q(d).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmotoooto. What is prob of picking 3 o and 1 t?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -903\/485 or -2?\nAnswer: -903\/485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/(l\/(l\/(l*l*l**(1\/2)))))**(2\/45)*(l**(-11)*l\/l**4)**(-35) assuming l is positive.\nAnswer: l**(22039\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g + 4*u - 15, 5*g = 2*u + 9. Solve 4*l = g*t - 2*t - 3, 0 = -5*t - 25 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9978476.\nAnswer: 2, 47, 53077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjb when three letters picked without replacement from {x: 1, w: 2, r: 2, b: 2, n: 3, j: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - z + 7. Let r be h(5). Suppose 0 = 6*n + 16 - r. Let c(g) = 4*g - 20. Let j be c(n). Solve -6 = j*b - 26 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316034.\nAnswer: 2, 158017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.12 - 0.12. Let v = -8 + q. Which is the closest to v? (a) -5 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40, 145, 318, 559?\n\"Answer: 34*u**2 + 3*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 40.2. Let u = 38.76 + -20.76. What is the third smallest value in 0.2, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1785231 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -39. Let x(h) be the third derivative of -h**6\/120 + h**5\/20 + h**4\/24 + 2*h**3\/3 + 9*h**2. Is x(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 2*n - 4. Let f be w(-3). Let a be (-4 + -10)*(-1)\/f. Let p be (-1)\/(3 - a\/(-3)). What is the nearest to 0 in -2, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 312025711 and -8?\nAnswer: 312025719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*m - 228048 = 4*b - 85*m, 3*m = b + 57004. Round b to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from cebobpor?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 1025 + 59 = 0. What is the derivative of s*i - 2*i**4 + 99 + 9925*i**2 - 9925*i**2 wrt i?\nAnswer: -8*i**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*y - 3. Let u(c) = 6*c**3 - c**2 + c. Let v be u(1). Let b = y + v. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*i - 4 - 126*i + 4 + 239*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347 = 32*i - 219 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 4*z**2 - 2*z**3 - z**3 + 6*z**2 + 4*z**3 in the form b*z + x + a*z**2 + v*z**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/261170 and -4\/499175?\nAnswer: 635948950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsde when four letters picked without replacement from eeeeedeerderes?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 24 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 511 = -163. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -68*r + 905. What is g(15)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 16. Let l be v(-13). Let x = -6 + l. Is x\/2 - (3 - 140) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 206.932 - 207. Round y to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.223 - 0.023. Which is the smallest value? (a) -2 (b) 3\/2 (c) p (d) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdkjsjmdvsd. What is prob of sequence vj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -67. Let i(n) = 3*n - 1. Calculate i(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11138000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from lpmkkkkmlgklkmllp.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -44*v - 1348. Determine k(-16).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -240648292*t**2 - 58223404*t wrt t.\nAnswer: -481296584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 74*i + 3*i**2 - 60*i + 28618 - 28618.\nAnswer: 3*i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 (base 11) in base 5?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w. Suppose d - 2*i - 10 = 0, 4*i = 7*d - 3*d - 20. Let j(x) be the third derivative of -4*x**2 + 1\/24*x**4 + d + 0*x**3 + 0*x. Give n(j(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -346.6 + 298. Let a = -48.6 - l. Let t = 1 + -0.7. What is the second biggest value in -1, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 1)*(-x + 5*x - 2*x)*(30 + 3 - 19) in the form h + y*x and give y.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**6\/20 + k**4\/8 + k**2. Let w(v) = -11*v**3 + 7*v. Let m(p) = -7*n(p) + 4*w(p). Find the second derivative of m(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-2) + 2)\/(84\/(-92912)). Let p = -1665 + x. Let r = -2\/2975 + -32693\/47600. Calculate the common denominator of p and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11623503 and 15498004?\nAnswer: 46494012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4360 or 4358?\nAnswer: 4358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.074 and 36.527.\nAnswer: 36.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5255026.\nAnswer: 2, 7, 375359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 31208758, 0.07?\nAnswer: 31208758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -139 + 7?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 65*n**2 - 18529*n + 1172. What is r(285)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d - 585 = 0. Let u be d\/12 - (-1)\/4. Suppose 9*s = u*s - 4. Calculate the smallest common multiple of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -3\/2 (b) 5 (c) 10 (d) 3 (e) -21.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/((-3)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-44 - (-60 - -27))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1\/3525878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/6 (b) -492 (c) -5 (d) -8 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 12. Suppose -12 = -3*n - h, 3*n - 2*h = -z + 17. Solve f - 6*j + 5 = -j, j - 22 = -n*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-10)\/(-1) + -1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3 (c) 3 (d) 0.2 (e) 5\/2 (f) -8122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0.2, 0, -3.5, -2, -0.058 in decreasing order.\nAnswer: 19, 0.2, 0, -0.058, -2, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:04 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1722*t**3 - 6021*t**3 - 457*t**3 - 4006*t**3.\nAnswer: -12206*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31338068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0.7. Let q be 1\/(-16)*(3 - 2)*-2. Which is the third smallest value? (a) 2\/7 (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-192)\/(-30) - (-4)\/(-10). Let p = 3 - i. Let z(k) be the second derivative of -k**5\/20 - 5*k**4\/12 - 2*k**3\/3 - k. Calculate z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/46)\/(1\/2). Let w be 0\/(-1 - (6 + -4)). Suppose w = -g + 28 - 26. Which is the second biggest value? (a) g (b) u (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 6*l**2 + 314*l + 27. Let p be c(21). Solve p*o + 149 - 155 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x + 11*x + 45*x - 28*x + 20*x**3.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-20) - 30\/40)\/(1\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32034765 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*i - 16. Let j be i + -11 + (-6 - -2). Let n(a) = -a**2 - 6*a + 5. Give n(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600848 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8174 < 8091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -0.2. Let f = -18 + 16.9. Let r = -1 - f. What is the nearest to -1 in -0.2, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1428 divide 189772632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k - 11. Let l be a(4). Let o be (-4)\/(-10) - 610\/l. Let m be 0*-3*4\/o. Solve m = 2*i + 2*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 599*y**2 - 447*y**2 - 1813*y**2 - 914*y**2 + (1 - 2 + 2)*(10*y**2 + 3*y**2 - 6*y**2) to the form m + l*y + v*y**2 and give v.\nAnswer: -2568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/298456 and 43\/40.\nAnswer: 1492280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/20 - 5*b**4\/12 - b**3 - 5*b**2\/2 + 2*b. List the prime factors of v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3511 - 31?\nAnswer: -3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 856748051 to the nearest integer?\nAnswer: 29270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 - 7 = 0. Let r = 7 + d. Let o(s) = -s - 1. Determine o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = 2*u + 107. Let m = u + -90. Suppose 2*p - 3*p**2 - 3*p**3 + m*p**2 + 2*p**3 = 0. Calculate p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/12 - 13*n**3\/3 - 28*n**2 - 172*n\/3 + 340. Suppose y(g) = 0. What is g?\nAnswer: -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k*k**(6\/13))*k\/k**(-9\/7) assuming k is positive.\nAnswer: k**(257\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v - 65*v = -140. What is the highest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.4, -0.2, 5, -833?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 5*w - 5. Determine u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.1, 0.6, 159, 11, -3?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 7 + 2)*(-g - 2*g + g)*(-5*g - 11*g + 4*g) in the form y + s*g**2 + c*g and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -5, 24005, 0.3, 27.3, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 3. Let k be n(-6). Let c = k - -6. Let x be 45\/10 - c\/(-2). Which is smaller: 5\/3 or x?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - t - 16 = -2*t, 2*p = 2*t - 12. Let l(m) = 12*m - 32. Calculate the smallest common multiple of (0 - 1)\/(p + (-138)\/(-28)) and l(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + 0 + 15 + (-69 - -50).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8814\/25 at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.75 - -3.75. Is -0.032 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56\/529 + -45127\/8464. Calculate the common denominator of -77\/104 and h.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/6420 and -149\/6420.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 674 = -726. What is the greatest common factor of l and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -1\/3*x**3 + 1\/8*x**4 + 0 + 0*x - 99*x**2 + 1\/20*x**5. Calculate l(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 3*b + 26460*b**2 - 13674*b**2 - 12785*b**2 + 6*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -696?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 21*j - 39. Let a(r) = 32*r - 58. Let u(x) = -5*a(x) + 8*l(x). Calculate the remainder when u(7) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*r - 17*r - 130*r + 20*r - 57*r - 111*r.\nAnswer: -396*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((-8)\/(-2)) - (-466408)\/8. Round r to the nearest one thousand.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1133236 - -1?\nAnswer: 1133237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7*10)\/7)\/((-1)\/18). Suppose -4*s - o = -s. Is 5 a factor of 3\/4*(-400)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, -82, 1\/8, 0.5 in descending order.\nAnswer: 0.5, 1\/8, 0.1, -0.3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72 - 23*n**3 + 23*n**3 + 133*n**2 - 42*n**5 - 132*n**2 wrt n?\nAnswer: -2520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76.5 - -77. Put -0.1, -9, z in ascending order.\nAnswer: -9, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away -174?\nAnswer: 173.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -664*t**2. Let l(w) = 243*w**2 - 239*w**2 + 54 - 54. Give l(h(v)).\nAnswer: 1763584*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u. Let w(x) = -173*x**2 + 177*x**2 - 412*x**2 - 262*x**2. Determine w(d(g)).\nAnswer: -2680*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51836 divided by 16.\nAnswer: 12959\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + 2. Suppose 5*c - 30 = 2*c + q, -a = -4*c + 5*q. Let n(g) = 37*g - 1. Let h be n(3). What is the greatest common divisor of c and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 4:45 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(204)*4*-6*-4)\/(5*5*(sqrt(300) + (1*sqrt(300) + sqrt(300) - sqrt(300)))).\nAnswer: 96*sqrt(17)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24266.7763 rounded to the nearest 100?\nAnswer: -24300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -202439, -202443, -202447, -202451, -202455?\n\"Answer: -4*r - 202435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-48)*4)\/1 + -2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9097088 divided by 4548544\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 11:21 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5 + (-5 + sqrt(2736) + 1 - sqrt(2736)) + (0 + sqrt(2736))*-4)*6)**2.\nAnswer: -576*sqrt(19) + 1575937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*a - m - 12, -32 = -5*a + 3*m. Solve u = -l, 4*l = a*u - 2*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -22. Let g(y) = y**3 + y + 1. Let s(x) = 3*x**3 + 2*x**2 + 6*x + 5. Determine z*s(i) - 5*g(i).\nAnswer: -2*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 1 (c) 27\/8 (d) -1\/5 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*y**3 - 4 + 57*y**3 + 4.\nAnswer: 208*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*y - 19*y - 34. Sort -3, y, 54.\nAnswer: -3, y, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11790 - -1?\nAnswer: 11791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76)*-2*5 + sqrt(76)*-2*-6 + -1 + sqrt(76) + 4*sqrt(76)*1 + sqrt(76))**2.\nAnswer: -32*sqrt(19) + 4865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 - 7*n**2 + (-1 + n + 3*n - 5*n)*((5*n + 0*n - 3*n)*(-3 + 0 + 2) - n + 2*n + 3*n) + (2 - 2 + 2*n)*(-3*n + 3*n - 3*n) + 2 - 2 - 2*n**2.\nAnswer: -17*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4488369 + 5*a**2 - 4488369.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 26 = -6*i + 9*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91\/8 + -1167\/104. What is the closest to -27 in 1\/6, v, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -3*j**2\/2 - 3*j - 5. Let d be l(-1). Put d, 1\/9, 1\/6 in decreasing order.\nAnswer: 1\/6, 1\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-88)\/(-20) - (36 - -4)\/8. What is the closest to w in 3, 0.5, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 - (0 + 42 - -28)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 + 12000?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:46 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -188.34.\nAnswer: 2636.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1671, 11870, 39135, 91998, 178991, 308646, 489495?\n\"Answer: 1422*t**3 + t**2 + 242*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -85 - -20 - (2 + 5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(36)\/sqrt(243))\/(sqrt(54)*1 - sqrt(672)\/sqrt(7)))**2*-6.\nAnswer: -16\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33580642 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 8*d - 14. Let h be q(7). Let u(k) = -k**3 - 10*k**2 - 8*k + 3. Let a be u(-9). Which is smaller: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2. Let q(p) = 599*p**2. Determine q(r(k)).\nAnswer: 9584*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530029 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 99*o - 21. List the prime factors of z(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180.025 - -338081?\nAnswer: 337900.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) 5 (b) 3 (c) -10 (d) -465\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**2 + 29344*v - 53816896 = 0.\nAnswer: 3668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*u, 5*u - 3*g = u. Let o(i) be the first derivative of 2\/3*i**3 - 2 + 0*i + u*i**2. Let b(r) = 5*r. Give o(b(z)).\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let u(a) = 0*a + a - a - 8*a. Let r(g) = g. Let o(i) = -3*r(i) - u(i). Determine f(o(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 7. Let g = p + 2. Which is the third smallest value? (a) g (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1, 7, -0.03?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 16) in base 10?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07889 - 53.6?\nAnswer: -53.52111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12*b - 5. What is the tens digit of v(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, n: 2, v: 5, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1392)\/58*115\/(-69)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14909 = -9*g + 15601. What is the greatest common divisor of 60 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19783697*x**2*y**2 - 78841*x**2 + 119*y wrt y.\nAnswer: 39567394*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -772014, -3088067, -6948156, -12352281, -19300442, -27792639, -37828872?\n\"Answer: -772018*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*o**3 + o - 55*o**2 - 26*o**3 + 2474 - 725 - 29*o**3 + 73*o**3 wrt o?\nAnswer: -72*o - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 39, -1 in descending order.\nAnswer: 74, 39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5 + 42*w**4 + 5466*w**3 - 11050*w**2 + 5544*w = 0.\nAnswer: -44, 0, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 15*b + 125. Let d be r(-10). Let p = d + 151. Sort -0.3, -2, -2\/5, p in increasing order.\nAnswer: -2, -2\/5, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8427831977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f**3 - 6*f**2 - 180*f + 2. Let b(h) = -23*h**3 + 11*h**2 + 335*h - 3. Give 4*b(c) + 7*q(c).\nAnswer: -8*c**3 + 2*c**2 + 80*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/31792 and 44\/7.\nAnswer: 222544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 - s + 4. Let f be x(0). Solve -f + 0 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from jeeepenepjpe.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1759 is divided by 343?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/23 (b) -1 (c) -5.234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 176262000?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4423500 to the nearest 10000.\nAnswer: -4420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 9\/5*q**5 + 0*q**3 + 11 + 0*q**2 - 7*q + 0*q**4. Differentiate x(a) with respect to a.\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188589451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 1260 = -5*b. What is the derivative of 33*d - b*d + 40*d + 3 + 1 wrt d?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618054 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -24*w + 736. What is the units digit of c(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 6*p + 19. Let u be x(-7). Suppose 4*q + 8 = u*q. Solve 2*h + q + 5 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a - 16 = 0. Suppose -8*x - a = -6*x. Sort x, 2, 5 in decreasing order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 11*h**2 + 11*h + 16. Let t be f(12). Let k = -619 - -624. Suppose 2*x - 14 = -k*m + t*m, 5*m = -2*x + 54. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -7)\/((-56)\/294812) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/3975 and 24\/15625.\nAnswer: 2484375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -15. Let i(a) = -5*a**3 - 3*a**2 + 1. Let x be i(r). Suppose -x*z - z + 220 = 0. Is 24 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 1, x: 2, d: 1}. Give prob of sequence de.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 163581394 to the power of 1\/2, to the nearest integer?\nAnswer: 12790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -491 - -852. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305992 is divided by 60670.\nAnswer: 2642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 205*m - 409\/2.\nAnswer: -(m - 409)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*r - 2 - 4, 3 = 3*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -0.27?\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 0 = -i. Calculate the remainder when 21 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 768017097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 + -62. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -172, -4, -11, -31.\nAnswer: -172, -31, -11, -6, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*s + 5*s - 6*s = -168*s + 3102 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - -8. Let z = -9 + x. Let c = -591 + 591.3. What is the third biggest value in c, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323166380 to the power of 1\/2, to the nearest integer?\nAnswer: 48199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0.3 (c) 128 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -44. Suppose 0 = -22*u + h*u - 20. Solve 0 = -c + 2*z, -2*c - c - u = 4*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**3 - 5*j**2 + 10*j + 9. Let d(w) = -17 + 35 - 15 + 6*w**3 - 11*w - 14 + 5*w**2. Let s(o) = -6*d(o) - 7*h(o). What is s(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*a - 319*a + 157*a)*(6 - 3 - 4)*(3*a - 4*a - 2*a)*(-a**2 - 2*a**2 + 0*a**2).\nAnswer: 1305*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37147 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/78 - (658\/(-4) + 0). Suppose -20 = 4*g - 80. Calculate the highest common divisor of g and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66521789?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/69936 and -157\/49632.\nAnswer: 1538592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 11001101?\nAnswer: 11011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14584 (base 16) to base 3\nAnswer: -11020022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Suppose -j + 3 = j - y, y + 6 = r*j. Solve -j*z = z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2. Let l(c) be the first derivative of -c**5\/10 + c**3 - 4*c + 309. Let a(x) be the third derivative of l(x). What is a(w(o))?\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**2 + 1 - 2 + 4*o**2 + 13*o - 4*o to the form v*o**2 + s*o + a and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2. Let l(d) = -2*d**2 - 3*d**2 + 5*d**2 - 2*d**2. What is a(l(q))?\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 21*y. Let r(v) = -136*v. Let m(w) = w**3 - 10*w**2 + 16*w + 3. Let u be m(7). What is u*l(a) - 5*r(a)?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -246*q**5 + 132*q**5 - 279*q**5 + 4*q**5 - 6*q**5 + 3*q**5 + (4*q + q**2 - 4*q)*(-3*q**3 - 2*q**3 + 3*q**3).\nAnswer: -394*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b = -23*b - 30. Let q be (-1)\/((30\/6)\/b). Solve q*h = -2*h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + c - 5 = 0, 2*z + z + 15 = 3*c. Determine p, given that z*p**2 + 0 + 0*p - 4\/5*p**3 - 2*p**4 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -15, 0.3, -0.1, 2\/101?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23815, -190266, -642035, -1521778, -2972151, -5135810, -8155411?\nAnswer: -12173610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 838 = 271. Let p be ((-2)\/(-6))\/((-3)\/c*-3). Let g(u) = -15 - p + 9 + u. Determine g(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -27*w**3 - 6*w**2 + 7*w + 5. Let h(z) = 28*z**3 + 7*z**2 - 8*z - 6. Let k(u) = 6*h(u) + 7*r(u). What is the second derivative of k(d) wrt d?\nAnswer: -126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7502763 divided by -2227.\nAnswer: 3369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 9 - 22 + 10 + 7*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8463 divided by -2821?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-18)\/4 + 706125\/210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 12*l - 12. Let v be w(13). Let i = 27 - 10. Suppose 20*x = i*x. Sort v, -3, x in descending order.\nAnswer: v, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*s - 4)*(5 + 6 - 1) + 1 - 1 - 3*s + 4 + 2*s - 4 as j + u*s and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 + 384*q**3 - 14613*q**2 + 131376*q + 536256 = 0. What is q?\nAnswer: -3, 19, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/470750 and -117\/94150.\nAnswer: 470750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)\/(h*h**(-6)))\/((h\/(h**(4\/3)\/h)*h)\/h**(-4))*(h**(3\/5)\/h**(-2\/5))\/(((((h\/h**(2\/19))\/h)\/h)\/h)\/h*h*h**(-1\/3)*h) assuming h is positive.\nAnswer: h**(233\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1315586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60\/18)\/((-4)\/(-6)). Suppose q*x - 33 = 62. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 10*m + 10. Let s be w(8). Let p(c) = c**2 + 5*c - 1. Let k be p(s). Suppose -k*i + 351 = -1144. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2341\/2 - -1215. Let d = -780 + 974. Let l = -1903\/10 + d. Calculate the common denominator of s and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 9*t - 3. Let b be j(-4). Suppose 0 = 2*q - 3*q + b. What is the greatest common divisor of q and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 11 = 4*k - t, 0 = 4*t - 12. Let v(i) = -2*i - 6. Let a(m) = 2*m + 6. Let l(o) = -5*a(o) - 4*v(o). Is 4 a factor of l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -76367 and -0.0257.\nAnswer: -76367.0257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 619332 and 3869?\nAnswer: 32824596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/13 (b) 13 (c) 0.15 (d) -0.79 (e) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 6 = 27*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34006 and 14994?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(4 - 4 + 2*h) + (-19*h + 0*h - 72*h)*(0 + 1 - 2).\nAnswer: 93*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Let r(t) be the first derivative of 16*t**3\/3 - t**2\/2 + t - 1. Let l be r(g). Calculate the greatest common factor of l and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 21 = -3*v. Let w(r) = 4*r + v + 2*r**2 - 8 + 5. Does 8 divide w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + c = -7, 0 = 7*g - 6*g - 5*c + 1. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*a + 18. Let d = 30 + a. What is the remainder when d is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16317)\/(-481) + -20 + 4\/52?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 + 95*g**4 - 315*g**3 + 325*g**2 - 110*g.\nAnswer: 5*g*(g - 1)**3*(g + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-82)*-10)\/(450\/(-540)).\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times -12?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -27*x - 1. Let z be o(0). Is -12\/37 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-6 + 2 + 0). Solve 0 = p - 0*p - v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -47*z + 42*z. Sort z, 13, 1 in increasing order.\nAnswer: z, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 2932.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14680281.\nAnswer: 3, 7, 11, 103, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 + a**2 - a - 1. Determine b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.11 and -0.320916.\nAnswer: -0.210916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 174*h - 93*h - 76*h)*(0 - 21 - 9).\nAnswer: -150*h + 390","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31596, -31639, -31694, -31767, -31864, -31991, -32154, -32359?\nAnswer: -32612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 9) to base 15\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p + 1. Let b be m(-1). Let g = -3 + 2. Let q(v) = v**2 - 4*v. Let a be q(g). Solve b*f + 16 = a*s, -3*f - 20 = -s + 2*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1036100305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**5\/4 - 1095*s**4\/4 - 50605*s**3\/4 + 446955*s**2\/4 + 589910*s + 636075 = 0.\nAnswer: -45, -2, 11, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 23*v - 33. Let z be m(25). Let t be -2 + z\/3 + 2\/(-3). Solve r + 8 = -t*a, -a - 3 = r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:09 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538334853.\nAnswer: 3, 7, 2953, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4659953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -706*n - 944*n + 668*n - 199*n - 585*n in the form r + z*n and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**6\/144 + 5*k**4\/6 - k. Let m(w) be the third derivative of c(w). Let i(o) = -2*o. Determine i(m(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.078 + -0.078. Which is the nearest to -1? (a) s (b) -0.05 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/((-141)\/(-14) - 10). Suppose -i*n + 13*n - 150 = 0. Calculate the remainder when 47 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 23. Let l be p(-9). Let h(a) = -3*a**4 + 5*a**3 - 11. Let y(d) = -d**4 - d**3 - 1. Let x(i) = l*y(i) - h(i). Differentiate x(c) wrt c.\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5904 + -5905. Let b = 43065\/31 + -1389. Is b at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 28 = -5*p. Let k = 32 + -37. Let q(v) = 10*v + 5. Let i(t) = 19*t + 10. Let u(w) = k*q(w) + p*i(w). Differentiate u(m) wrt m.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**3 - 2*z**3 - 2*z**3 + (-2*z**2 + 4*z**2 - z**2)*(0 + 0 + 2*z) - 1 + 3*z**3 + 1 + (3*z**3 + z**3 - 2*z**3)*(-4 + 8 - 14).\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-951)\/(-135) + -7)\/(133\/399)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-13) + (-250)\/65. Let i be (-1 + -1)*6\/c. Suppose -30 + 99 = i*q + k, 4*k + 12 = 0. Solve -4*a - 12 = l, l + a = 6*a + q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*8\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 148\/3. Which is the closest to 1\/3? (a) -5\/3 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 2, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-13)*(-1)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -462 (base 15) to base 10.\nAnswer: -992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46, -180, -314?\n\"Answer: -134*x + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015.6 + -14.7978?\nAnswer: 1000.8022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*z, 0*c - 14 = -2*c + z. Let l(a) = a**3 - 7*a**2 + 6*a + 5. Let k be l(c). Solve k = 2*y - y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -7*u**4\/24 - 8*u**3\/3 - 4*u**2 - 3. Is x(-10) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 23 = -7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/5 (b) -191 (c) -138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 6*d**2 + 2*d + 1. What is the units digit of v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 8, 521*m + 4*w - 127 = 526*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u**2 - 18*u**2 - 30*u**2 + 26*u**2.\nAnswer: -53*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*y + 183 = 0, -2*w + 3*y = -6*w + 244. Suppose -3*i = -3*k + 185 + w, -410 = -5*k - 2*i. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 6478551.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/3, -3\/8, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**13)*p*p*p**(-26)\/p assuming p is positive.\nAnswer: p**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 times 2.8?\nAnswer: -296.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyhkffhyhyhffh. Give prob of picking 1 h, 1 f, and 1 y.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**4\/12 - n**3\/2 + n**2\/2 + 26*n. Let i be j(-2). Solve -i*l + 0 + 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 2*m**2 - 1\/6*m**3 - 1\/60*m**5 + 0*m + 1\/12*m**4 + 0. What is r in g(r) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 70. Find the third derivative of j*q**3 + 21*q**2 - q**3 + q**3 wrt q.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m - 5. Let x be c(-4). Let n = 19 - 12. Let f = x + n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m = -11*m - 3008. Calculate the remainder when 257 is divided by m.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 24*j - 1 + 1 to the form y + p*j and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 199600 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -17\/2, -5, -1?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 6 = -49*s + 46*s, -4*s + v = -17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -78 - (-30 + 12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4757 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaxaaaax. What is prob of picking 2 x and 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 259*n**2 - n + 26. Let t be -9*(-1)\/(-2)*-2. Let f be u(t). Suppose 0*k - 2*b - 6996 = -k, -2*b = -3*k + f. Round k to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(128)*2)*-6 - (sqrt(2) + (sqrt(2) - (sqrt(2)*1)**2) + 4 + sqrt(2) - (3 + sqrt(6)\/sqrt(3)))*4.\nAnswer: -104*sqrt(2) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + -32)\/(3\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17255250 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82913 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(96)*-1 - -1*(sqrt(36)\/sqrt(6) - sqrt(6)))\/(-4*(1*sqrt(12))\/sqrt(6)*-5).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/576960 and -51\/19232.\nAnswer: 576960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 2979400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82517523, 82517530, 82517541, 82517556?\n\"Answer: 2*q**2 + q + 82517520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41891995 or 1?\nAnswer: 41891995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -13. Suppose -1266 = -2*q + 2*t, -3*t = -i*t. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 20. Let t be r(-8). Let a be (-3)\/6 - 26\/t. What is the third derivative of -9*l**2 - 5*l**6 - a*l**2 + 12*l**6 + 7*l**2 wrt l?\nAnswer: 840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 - (-6)\/(-30). Let u be 10\/((-1)\/((-12)\/8)). Solve 0 = -3*k - i*k - u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 615\/4 + -156. Let p be (1\/(-2))\/(1\/6). Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 3*v)*(-5*v**2 - v**2 + 7*v**2 - 2).\nAnswer: v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010 less than 8.1?\nAnswer: 12018.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmnddszgn. What is prob of sequence dz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135392, -270792, -406192, -541592?\nAnswer: -676992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-630*q - 264 - 275*q + 924*q)*(-1 + 1 + 1) as j + b*q and give j.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3444 divided by 1148\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from pvnsdrn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + -3*(0 + sqrt(176)) - (5 + sqrt(275)*-3 + -4)))**2.\nAnswer: 150*sqrt(11) + 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116576 is divided by 457.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8 + -1.2. Put 0.2, 1\/2, n, 3 in ascending order.\nAnswer: n, 0.2, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i\/(i**(3\/5)\/i))\/i)\/i*i\/(i\/i**(1\/7)))\/(i**3*i\/i**(1\/4)))\/(((i*i**(-2\/9)\/i)\/i)**(-10\/9))**17 assuming i is positive.\nAnswer: i**(-298169\/11340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3846*1\/13 - 0. Let x = r - 296. Let u = -55 - -603\/11. Which is the biggest value? (a) -3 (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 859 = 30*z - 6435. Solve 10*j - z = -86 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 102*m**4 + 185*m**4 - 95*m**4 + (-5*m**2 + 3*m**2 + 4*m**2)*(-m**2 + 2*m**2 - 2*m**2).\nAnswer: -14*m**4 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -12 - 15) + 4 + -1 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l + 36. Let a be b(8). Let j(c) = -9*c - 2. What is the remainder when 78 is divided by j(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (283*t**2 - 579*t**2 + 243*t**2)*(0*t**3 - t**3 + 2*t**3) + (-7*t - 7*t - 15*t - 7*t)*(3*t**4 + 0*t**4 - 6*t**4).\nAnswer: 55*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133524 + -326?\nAnswer: -134153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 6*g - 3*g)*(-3*g + 0*g - g) + (0 - 2 + 3)*(-323 - 154*g**2 + 323) + 3*g + g**2 - 3*g in the form l + n*g**2 + s*g and give n.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 599 (c) -0.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78754425109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -22*o. Let s be (-1)\/5 - (-7)\/35. Let h(c) be the second derivative of 1\/6*c**3 + s*c**2 + 0 + 24*c. What is h(a(m))?\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111, 118, 131, 150, 175, 206, 243?\n\"Answer: 3*c**2 - 2*c + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 604.9119?\nAnswer: 60.49119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.79602 to 2 dps.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 0*q)*(0 + 3*q**3 + 0)*(-2*q - q + 2*q) - 151*q**3 + 151*q**3 - 15*q**5.\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 36. What is the remainder when 22 is divided by 8\/w - 34\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35)\/(-7)*(-2)\/(6\/(-15)). Calculate the greatest common factor of h and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -588 + 552.9. Let y = -35.09581 - m. Round y to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 1. Let b be u(1). Let l(x) = -1 + x**2 + 2*x**2 + b - 3*x + x**3. What is l(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*i**2 - 3*i**2 - i**2)*(4 - 472*i - 4 - 79*i - 612*i) to m*i**3 + v + r*i + a*i**2 and give m.\nAnswer: -4652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 12 = 2, 2*i + 5*n = 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 8:31 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*q**3 - 34*d**2*q - 127289315*d*q**3 - 58*d*q**2 + 2266*d*q wrt q.\nAnswer: -12*d**2 - 763735890*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24682, -26383, -28084, -29785, -31486, -33187?\n\"Answer: -1701*x - 22981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 7209*m**2 + 743400*m + 18772500.\nAnswer: -3*(m - 2503)*(m + 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225 and 58320.\nAnswer: 291600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32704279 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 112102957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 + -120211?\nAnswer: -112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*g - 3*b, g - 1 = -0*b + b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1175980 by -260.\nAnswer: 4523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1c0 (base 13) to base 9\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2947 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.61 - 1.55. Let h = s - 0.06. Let v = h - 3.0002. What is v rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21, -28, -1, 4, 27, -4.\nAnswer: -28, -21, -4, -1, 1, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = -6*h - 426. Sort 1, -1, h, 11 in ascending order.\nAnswer: -1, 1, h, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/3168 and -41\/768.\nAnswer: 25344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1872) + -1 + -4 + -2*(sqrt(1872) - (sqrt(1872) + -1)) + 2 + (sqrt(1872) + 0 + 0 - (sqrt(1872) - (0 + sqrt(1872))*-4)) + -3)**2.\nAnswer: 576*sqrt(13) + 16911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -5*w - 5*j - 28, 0 = -w + 4*j + 7. Let o be 6\/(-9) + w\/12. Sort 5, o, 1\/10, -3 in increasing order.\nAnswer: -3, 1\/10, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6258.357 millennia?\nAnswer: 75100284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1300)*5*-6 - sqrt(1300)*-2*-3))**2.\nAnswer: 15163200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 6 - j**2 + 12*j - 11 to the form l*j + f + x*j**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5224 and -4203.\nAnswer: -21956472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + (-96)\/(12\/(-4)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1721000 to the nearest ten thousand.\nAnswer: 1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 37*d**2 + 73*d\/2.\nAnswer: d*(d + 1)*(d + 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (4 - 7) + 12 + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.6 or -2\/301?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, -3\/13, -5, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 12 (b) 15 (c) -0.4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + c + 299 = -0*c, 5*g = -4*c - 1500. Let r = -155 - g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + (-1)\/(-4) + (-3)\/12. Suppose 2*s - 298 = -10*j + c*j, -j = -3*s - 318. What is the highest common factor of j and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-148.3\nAnswer: 741.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/5 - 676*b**4\/5 - 66602*b**3\/5 - 1651664*b**2\/5 - 3106216*b\/5 - 304096 = 0.\nAnswer: -172, -130, -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {y: 4, t: 2, r: 1, a: 3, w: 6}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42*51\/(-1190))\/(1\/(20\/2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + n**3 - 4*n**2 + 0*n**2 + 867 - 869 + 0*n + 0*n**2. Let z = 2 + 0. Suppose 0*v = -z*v + 8. Determine q(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37744 is divided by 53?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/5 in -26, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0, -0.3, 5, 2\/7, -34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91338 is divided by 12698.\nAnswer: 2452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186388.\nAnswer: 2, 17, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + -8 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssplpplsspsplpsps. Give prob of picking 1 p, 1 s, and 2 l.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-168)\/(-224)*4\/(-1 - -2). Solve 0 = l*x - 9, 2*u - 3*x + 0*x = -17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tww when three letters picked without replacement from wwwwtwwwtwwww?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, 1\/3, -2\/9, -4 in descending order.\nAnswer: 1\/3, -2\/9, -4, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((1 + 0)*-2)\/(-6). Sort q, -1\/3, 5 in ascending order.\nAnswer: -1\/3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5296a57 (base 11) in base 6?\nAnswer: 531440250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011001000101100 (base 2) to base 11.\nAnswer: -76564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20858, -20856, -20856, -20858, -20862?\n\"Answer: -g**2 + 5*g - 20862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23098933.\nAnswer: 11, 13, 161531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 7*z**2 + 1. Is 19 a factor of i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*11013.\nAnswer: -1101.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -26202?\nAnswer: -26200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 264 = 69. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, x: 7, t: 1, d: 4}. Give prob of sequence tr.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 2*c - 11)*(0 - 11*c - 3 + 4) to l*c + r + a*c**2 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(3\/((-6)\/(-4))). Solve 2 = a*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 2. Let u(k) be the second derivative of -2*k**3\/3 + 3*k**2 - 23*k. Let d be (-2)\/(-2) - (3 + 0). Let a(m) = d*u(m) + 7*j(m). Give a(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/7)*j\/j**(2\/11)*(j**5*j)**(-2) assuming j is positive.\nAnswer: j**(-762\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -0.4. Let j = -1.6 + r. Let k = -4 - -2. What is the biggest value in k, -1\/8, j?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 + 16*f**2 + f\/2 - 16.\nAnswer: -(f - 32)*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asaaaasass. What is prob of picking 1 a and 3 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(32\/(-12))*(108\/(-3))\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 13, -103?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iie when three letters picked without replacement from {i: 2, e: 4, v: 8}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216166 + 883587. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3916 - 0) + 62 + -64.\nAnswer: 2, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05797*84\nAnswer: -4.86948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5767930 to the nearest integer?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1656 - 14906\/9. Which is the nearest to 0? (a) 31\/2 (b) 0.3 (c) -0.5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 10020773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 15. Suppose -r = -o*r - 10. Let i(m) = m**2 - m - 10. Is 20 a factor of i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6307 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 545010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*m - 48 = -4*u, 0 = -3*u - 2*m + 36. Calculate the smallest common multiple of 8 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607192814 to the power of 1\/3, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 106\/7 + 3\/(-21). Let n be (-3)\/(-5) + (-99)\/o. Let h = -19 - n. Is -12 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20.59 in -6, 6, -0.07?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5202658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 divided by -247?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 4*k - 1. Let z(f) = -f**2 - 5*f + 2. Let n be z(-6). Let y be w(n). Let t = y - -6. Let d(i) = -i. Let p(v) = -3*v - 1. Give t*d(g) - 2*p(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 54*k**2 - 17 - 23 + 53*k**2 + k - 3*k - 16*k**4 - k**3 as l*k**4 + y*k**2 + c*k + q + a*k**3 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60601 + 3?\nAnswer: 60604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*b = -217*b - 84. Solve 5*g - 3*p - 11 = -0*p, 2*g - p - b = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 1062, 1582, 2096?\nAnswer: 2604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.6 - -20.6. Let q = 12 - v. Which is the third smallest value? (a) q (b) 2\/11 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138737*n**2 + 44 - 50 + n - 3*n**3 - 138718*n**2 to b + v*n**3 + c*n**2 + l*n and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*k - 95, 13*f + 6 = 12*f + 4*k for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 16. Let s = n - 7.999996. What is s rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -13. Suppose -2*j = -2, 4*j = 25*p - 30*p + 14. Solve p + 28 = -o*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p - 388. Let v be x(0). Let h = v - -392. Solve -4*i - 16 = h*y, -5*i - 20 = y - 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**3\/3 - 5*r. Suppose 33*a - 41*a + 264 = 0. Let i(c) = -a*c - 21 + 40 - 19. Calculate w(i(j)).\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 22*w + 316. What is n(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -2\/19 (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*b + 51*b**2 - 58*b + 8*b - 4 to the form l*b**2 + p*b + a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 589778717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 2, g: 5, z: 2, h: 2}. Give prob of sequence hz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.4 - 1.8. Which is bigger: l or 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + w)*(w - 2*w + 3*w) + 0*w**2 + 5*w**2 - 4*w**2 + 3*w**2 - 4*w**2 - 3*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (132\/(-24))\/(1\/(-2)). Suppose 2*y = -n*t + 6*t + 75, 0 = -5*t + 25. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.169 - 81.169. Let y = a + 81.33. Let o = y - 0.32999941. Round o to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3768574569 to the power of 1\/2, to the nearest integer?\nAnswer: 61389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + s. Let o(j) = -2*j. Let i(r) = -o(r) - z(r). Let a(x) = -6*x**2 - 2*x. Let k be 6\/30*-10*2\/(-4). Calculate k*a(p) + 2*i(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.01. Let p = 0.29 - s. Let o be 16\/(-2)*2\/4 + 2. What is the second biggest value in -0.1, o, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433064 is divided by 1432937.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -1.1. Suppose 2*q + l = 6*l + 11, 8 = q - 5*l. Suppose n = -q + 5. Which is the closest to d? (a) n (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268230 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 106, 243, 438, 691, 1002?\n\"Answer: 29*y**2 - 8*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(2)*-4 + (sqrt(198)*-2)\/sqrt(6))\/(sqrt(3)*-1*-4 - -5*sqrt(48)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s. Suppose 5 = -s*t + t. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + -34. Let r = -29 - i. Solve 0 = y + 3*b + 11, -y - 3*b - r = 2*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*w + 329 = 5*s + 131, 4*s - 16 + 40 = -8*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 8*i**2 + 2*i + 8*i**2 + 4*i. Let u be h(-3). Let d = u - 9. Solve 3*q - 1 + 7 = d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 579 + -577. Solve -82 = -v*n - 86 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7921003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**3\/6 - 32*y. Let p(v) = -121*v. Calculate p(g(s)).\nAnswer: -121*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 7*u**2 - 7*u - 3. Give a(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*g + 402*g - 55 = -5*z, -4*z + 9*g + 131 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15196806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10 = j, -2*j + 5*j + 10 = -5*k. Suppose 3*v = -j*o + 47, v - 4*o = -0*v + 10. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61435 (base 8) to base 5\nAnswer: -1302443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*v = -9, 2*v - 5 = z - 0*v. Let k be -1 - (z*-6 + 2). Suppose -3*j + j + 3 = g, 34 = 2*g - k*j. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b*v**2 - b*v*y**2 - 8*b*v*y - 5*b*y**2 - 82*v**3*y**2 + 1827*v**3 - 753*v*y wrt v.\nAnswer: -10*b - 492*v*y**2 + 10962*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4*26.\nAnswer: 114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -119, -214, -297, -338?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 78390.7m?\nAnswer: 78390700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 7858214*s - 247 = -7858242*s, -4*z - 4*s + 16 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Let r(w) = -18*w. Let x(q) = 9*g(q) - r(q). Let f(d) = -3*d**2. Calculate f(x(y)).\nAnswer: -243*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 67 = -47 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)\/(y**13\/y))\/(((y**(-1\/11)\/y)\/y)\/(y*y**(-2))) assuming y is positive.\nAnswer: y**(-120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 27. Suppose -3*w - d = -y*d - 27775, 2*d - 18510 = -2*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 8*u - 8. Let s(y) = y + 4. Let x be s(0). Let w be p(x). Let d be (-2)\/(-8) - 38\/w. Let z(i) = -i**3 + 4*i**2 + 2*i - 2. Calculate z(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**2 - 2*u + 5. Let f(c) = -c**2 + c - 1. Calculate -3*f(s) - l(s).\nAnswer: -3*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18221942927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + o**2 + 2*o + 3. Let q be h(-2). Let s(z) be the third derivative of z**4\/24 + 4*z**3\/3 - 3*z**2 - 17*z. Give s(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4 - 224*t**3 - 2886*t**2 - 11060*t - 12400 = 0.\nAnswer: -5, -2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 2, f: 7, a: 1, g: 8}. What is prob of sequence fa?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)*g**(-3\/7))**(-5\/17)*((g**(-2\/3)\/g)\/g*g*g**(1\/4)*g*g)\/(g**0\/g)**(-24) assuming g is positive.\nAnswer: g**(-16577\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 92 = -4*n - 252, -j + 88 = -4*n. Let i = 49 + j. Calculate the greatest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:53 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19851392*p**6*x + 25475*p**2 + p*x + 21*p + x wrt p?\nAnswer: 2382167040*p**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 5 - 5 + (3*p + 0*p - 2*p)*(-2*p - 5 + 5) + 4*p - 4*p - p**2 + (0*p + 9*p - 2*p)*(-p - 3 + 3).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27679484834 and 1.4.\nAnswer: -27679484832.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33774*b**3 - 35416.\nAnswer: -101322*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u)**(1\/29))**(-2\/5) assuming u is positive.\nAnswer: u**(2\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (0 + -4 - (-29 - -27)) - 7.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 2*d**2 + d**3 + 0*d**3 - 26*d.\nAnswer: d**3 - 26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/18? (a) 0.5 (b) -0.4 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -0*k - 2*k, 2*x + 5 = -k. Suppose 27*a - 5096 = -22*a. Suppose 14 - a = -k*t. Calculate the remainder when t is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 176*y + 703. Calculate b(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((5 - 3) + -1)\/1. Let x be (23 + h)*(-2)\/4. Let v = -3 - x. Is v >= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (2\/3)\/((-12)\/72). Let b(i) = 20*i**2 - i. Let n be b(d). Calculate the greatest common divisor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 0, -5.\nAnswer: -5, 0, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(13) + 0)*1 - sqrt(39)\/(sqrt(6)\/sqrt(98) + sqrt(3)))**2.\nAnswer: -sqrt(13)\/2 + 269\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 307159991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(110) + (-6*(sqrt(110) + sqrt(110)*2) - sqrt(110)) + (sqrt(110) - sqrt(110)*1)*3))\/(-3*sqrt(40) - ((4*sqrt(360) - sqrt(360)) + sqrt(10))).\nAnswer: 18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 50097 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 2*u + 144 = 0. Let w(x) = -u*x - 20*x + 43*x. Let g(n) = -16*n. Determine g(w(k)).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1418075440 - -0.62.\nAnswer: -1418075439.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/((-28)\/((-41580)\/(-33)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 195 = -5*q + 270, 0 = 5*q - 4*j - 435. Let k = q - 47. Let p(o) = 56*o + 8. Let c be p(3). Calculate the highest common factor of c and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 30 = -9*o. Let h be ((-8)\/o)\/(505\/(-50) + 10). Solve -28*z + 20*z + h = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*y**2 - 46*y**2 + 7916*y - 7916*y - 396*y**3.\nAnswer: -396*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 5:23 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-12)*(-4862)\/20. Let a = i - -324. Let d be 2 - (-11)\/(-20)*16\/4. Which is bigger: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145.7 - 152.1. Sort -2\/9, n, 3.\nAnswer: n, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 499954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 p when four letters picked without replacement from {p: 3, u: 11}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -0.4. Let p = j + 1.4. Let s = 3 - p. What is the nearest to 2 in s, -4, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 20. Let n(u) = -4. Let y(a) = -2*c(a) + 11*n(a). Suppose -15 = 9*j + 21. Determine y(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -605 + 13010. What are the prime factors of q?\nAnswer: 3, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3\/10, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79.99944 + -80. Round g to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*g - 19*g - 19*g + 12*g + 3273 - 3273 - 20*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + v - 2. Let u be z(-2). Let k(t) = -t**2 + 1. Let h be k(u). Factor -1\/2*w + h - 1\/2*w**2.\nAnswer: -(w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4255817 and 3.\nAnswer: 12767451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592894 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223*u**2 - 1 + 567*u**2 - 247*u**2 to the form i*u + w + b*u**2 and give b.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010010010111000000 (base 2) in base 8?\nAnswer: 2222700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -71*j - 1. Let v be a(-1). Let p be -3 + 0 + v\/22. Sort 1\/5, -0.1, p in increasing order.\nAnswer: -0.1, p, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -317.000572 + 317. Round u to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2365125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4407, -4487, -4711, -5151, -5879, -6967?\n\"Answer: -12*d**3 + 4*d - 4399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3567 + 3584 - (-51 + -2).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - (-3 + 2 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439370 is divided by 3144?\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 16*o - 5*o - 96 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-261)\/(-3045)*(-397)\/78. Let f = 3262951\/4004 + -8964\/11. Let m = i - f. Find the common denominator of m and -19\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*-0.4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -20. Let t = 17 - g. Let a(c) = -4*c**3 - 2*c**2 - 2*c - 1. Let i be a(t). Let h(m) = m**3 - 3*m**2 + 2*m + 1. What is h(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691322800 rounded to the nearest 100000?\nAnswer: 691300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -40. Let f be (5 - (t + 6)) + 1\/1. Solve -f + 6 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.86 + 15. Let z = w + -0.14. Let h = -0.088 + -0.012. Is h < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15*(2 - (-80)\/(-4)). Suppose -4 = -4*t, -4*t = 2*q - 206 - z. List the prime factors of q.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1050182 - 1050182. Let f = 375\/28 + -53\/4. Which is the closest to j? (a) 7 (b) f (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 + -1. Let i = -0.8 + a. Let j = -8\/22279 - 66805\/89116. Put -0.4, i, j in ascending order.\nAnswer: i, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15034 and 0.1.\nAnswer: 15034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/5*(-11)\/((-176)\/120)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 9*t - 16. Let u be w(-11). Let c(i) = 3*i**2. Let g be c(2). Calculate the greatest common factor of g and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217288*t + 217283*t = 6*x + 179, -5*x - 180 = -2*t for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s - 61. Determine r(18).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((8\/12)\/(16\/(-12)))\/1. What is the nearest to s in 1\/21, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 47. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7679322 to the nearest integer?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54829 and -6?\nAnswer: 328974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 4*b + 0*b)*(-30 - 2 - 21)*(-b**2 - 2*b + 0*b + b).\nAnswer: -318*b**3 - 318*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven quarters of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 6)*(3 + 5 + 0)*(-1613 + 1613 + 74*d)*(2 + 0 - 3) + (1 - 1 + 2)*(-1 + 1 - 3*d).\nAnswer: -598*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 537218189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 4*u - u - 10. Let a be 2 + 3\/3 + 2. Let n be g(a). Sort -1, n, 2 in decreasing order.\nAnswer: 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36994769*x**4 - 445226*x - 18.\nAnswer: 443937228*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*o + 2, -5*o + 382 = 5*u + 332. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/22*(-8)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z + 3*a + 29, -4*a = -3*z + 20. Let f be ((-42)\/24)\/(2\/z). Let l(y) = -6618*y - 38*y**2 - 1 + 37*y**2 + 6611*y + 4 + 1. Give l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658221 is divided by 131642?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8674 divided by -2.\nAnswer: 4337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 + 6 = 0. Let r be 1\/y - 2\/(-8). Let w(p) = p**3 + 30*p**2 + 104*p + 9. Let z be w(-26). Solve h - 4*h - z = r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - 25. Let i be l\/(-14) - (-10)\/(-35). Let x(k) = -k + 4. Let p(b) be the second derivative of -3*b**3\/2 + 33*b**2\/2 + b. Determine i*p(h) - 33*x(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - k)*(0 + 0 + 1) - 310745 + 310745 - 169*k + (-2 + 10 + 0)*(-1 + 1 - 2*k).\nAnswer: -186*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 5*d + 5, 31*g = 28*g - 2*d + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h**2 - 20*h + 13. Let p(j) = 7*j**2 - 13*j + 9. Let a(n) = 7*p(n) - 5*q(n). Determine a(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26 - 21 - (2 - 26\/(-8)). Are 0.02 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 131, 2 in decreasing order.\nAnswer: 131, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 - 4*r\/3 + 1232\/9.\nAnswer: -2*(r - 22)*(r + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -27*n**2 - 8*n + 19. Let b be t(5). Let x = 703 + b. Solve -i - 3*g = 8, 4*i + x = -i - 4*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - o = 8, 10*r - 5*r = -3*o + 16. Suppose r*i = 6, v + 6*i - i - 23 = 0. Suppose -v*c = -2375 + 671. Does 49 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/26 - (-8)\/52. Solve -j*k - 1 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/39)\/(3*2\/(-4)*8\/(-1332))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/3705 and -77\/13850.\nAnswer: 10262850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.85 + -7. Let v = -1.85 - q. Let z = v - -1.69974. Round z to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -540 divided by 1.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1)\/((-1)\/2). Let a = -3\/4 - 0. Which is bigger: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**2*v**3*y + c**2*v*y**3 + 5*c**2*y**2 + c*v**3 + c*v*y**2 - 65*v**3*y**3 wrt y.\nAnswer: 6*c**2*v - 390*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8098747129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -15393408, -2, -0.1 in ascending order.\nAnswer: -15393408, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 7*b + 25. Suppose 28*g - 24*g = 52. Let u = -3 + g. What is the tens digit of y(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-1)))**(3\/7)*(d\/(d*d**(-5\/6)\/d)*d)\/d*d*d**(1\/7)*d)**(-2\/123) assuming d is positive.\nAnswer: d**(-149\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7268 = 5*v - 3*q, 9*q = 8*q + 4. Is 56 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1 + 32*(-10)\/(20\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**3 + 18*a**3 - 208*a**3 - 77*a**3.\nAnswer: -296*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2361334228?\nAnswer: 2, 11, 37, 53, 27367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*s + 24*s - 30*s + ((-3 + 6 - 1)*(s + 4*s - 4*s) + s - s - s + 8*s - 5*s + 2*s)*(-3 - 1 + 5).\nAnswer: -37*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889432 a multiple of 824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/4)*b**(2\/21))\/(b**(2\/7)\/b**(-1\/5)))**(4\/5) assuming b is positive.\nAnswer: b**(-689\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 201 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 2*v. Let g = 24 + v. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254609133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 99\/660*(-8)\/6 + 22\/60. Sort u, 14, 0, -2\/3, 0.3 in descending order.\nAnswer: 14, 0.3, u, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1563 is divided by 97.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = -2*p. Let s = 1 - p. Let n = s + -2. What is the remainder when n is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 - 110. Let a be y\/((-7)\/2) + 20\/6. Is a at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 + 112.4. Let t = c + -40. Let l = 0.66 + t. What is the third smallest value in l, -0.2, -1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/11 + 2*j**4\/11 - 6*j**3\/11 - 10*j**2\/11 - 4*j\/11 = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-39)\/(-2) - (-2)\/4. Suppose 0 = -5*h - 0*h + a, h - 2 = -i. Let j(o) = o**2 + 268*o + 1577. Let r be j(-6). Sort i, 7, r.\nAnswer: i, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284110?\nAnswer: 2, 5, 128411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8663 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1572*n - 9. Let h be q(1). Suppose 4*s + x = -s - 2605, h = -3*s - 2*x. What is s rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.29 to one dp.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 5*m + 2. Let h be t(5). What is the remainder when 41 is divided by 6\/(h - 0) - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998.034 years to months.\nAnswer: 11976.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1828 + 1828. Is m smaller than -1\/16605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.3. Let h = -4 - 1. Let j = -16 - -14. Which is the second smallest value? (a) h (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/18337200 and 93\/370.\nAnswer: 18337200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((-1)\/(33\/11)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/14*29281\/(-12549).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 23*w - 1674. Let f = w + 792. Suppose 4*d - f = -5*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/20)\/((y*y*(y**(-1\/8)\/y)\/y*y)\/y))\/(y**(-1\/9)*y*y**7*y))**(-13\/3) assuming y is positive.\nAnswer: y**(40781\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.007 and 0.53.\nAnswer: -0.00371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(3*n - 6*n - 1 + 2*n) - n - 2*n + 4*n.\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539627980 divided by -1060.\nAnswer: 509083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119 by -2.\nAnswer: -119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n**(1\/6)*(n\/(n\/n**(1\/3)))**4)**(-37) assuming n is positive.\nAnswer: n**(1295\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 - 30 - (3 + -20 - -9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 132920.9l?\nAnswer: 132920900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**4\/8 + 3*i**2\/4 + i - 7. Solve n(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1693964, 1693969, 1693974, 1693979, 1693984?\nAnswer: 1693989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41910 and 1430.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2. Suppose -3*t - 84 + 99 = 2*t. Let m(p) be the second derivative of 0 - 29*p - 9\/2*p**2 + 1\/3*p**t. Determine m(y(w)).\nAnswer: 4*w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -35. Suppose -2*g + 9 + 9 = 4*w, 0 = -5*w - 15. Suppose -q + g = -u*q, -3*d - q + 91 = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-27))\/((-125)\/(-75)) - 22\/(-5). Let w be (1 - (-2 + 4))*-3. Solve w*z = -4*b - 24, -8*b + r*b = 5*z + 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 + 986\/13. What is the nearest to 1 in 2\/13, -0.7, s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*f + 25 = -19, -v = f - 10. Let z(o) = -o + 17. Let h be z(v). Solve -13 = s - 4*l, -3*s - h*l - 5 + 0 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(20)*-3 + sqrt(405)) - (-2 + 0 + (sqrt(245) - (sqrt(245) + -1)) + -4))**2.\nAnswer: 90*sqrt(5) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 31, 263, -5, -1 in increasing order.\nAnswer: -5, -1, 4, 5, 31, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*v**2 + 90*v**2 + 62*v**2 - 257*v**2.\nAnswer: -39*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 44 = 4*h. Let t = h - -43. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37960 divided by 520\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 2*p**2 + 1\/6*p**4 + 0*p - 2\/3*p**3 + 0. Differentiate n(k) wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52349.57 - -53252. Let g = c + -907. What is g rounded to one decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 + 2212*j**2 + 325858*j + 12951320 = 0. Calculate j.\nAnswer: -940, -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*u + 550 - 134, -2*j = -3*u - 165. What is the greatest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 20189?\nAnswer: 20187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43056*j**5 - j + 7806 wrt j?\nAnswer: -861120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (6*((sqrt(55) - sqrt(110)\/sqrt(2))\/sqrt(5) - sqrt(77)\/sqrt(28)) - -5*((-1*sqrt(704) - sqrt(704) - sqrt(704)) + -4)**2).\nAnswer: 957*sqrt(11) + 31767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 2280934 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3683 or 3678?\nAnswer: 3678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/5)\/(-24)*(-3)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 5*n - 3. Let t be (-5)\/(-3 - (-4)\/2). Let p(d) = 0*d**2 - 1254 + 8*d + 3*d**2 + 1258. Let r(f) = t*p(f) + 8*b(f). Calculate r(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 51*r**2 + 62*r + 596. Calculate b(-50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((-402)\/45)\/((-238)\/(-10) + (609 - 630)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -89.\nAnswer: 3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5695 (b) 2 (c) 1\/3 (d) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -39.46 at least -12.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 946401581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h + 43. Let n be f(6). Suppose n*s - 107*s = -30. Put s, 4, -5 in ascending order.\nAnswer: s, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 2431 - 1007. What is the remainder when y is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let h be b(2). Let s be (5\/h)\/(5\/(-10)). Solve -4*i + s = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 1. Let p(m) = 13*m + 3. Let h(v) = -2*p(v) + 7*u(v). Let b be h(1). Suppose -6*g + b*g = 18. Are g and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -169*l**3 + 4*l**2 - l - 1. Let s = -12 + 10. Is y(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 15*w**2 + 5*w + 15.\nAnswer: -5*(w - 1)*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 223837360 and 2.\nAnswer: 223837360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**0*g)\/g)\/(g*g**3*g))\/g**24)\/(g**19)**(1\/26) assuming g is positive.\nAnswer: g**(-773\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j - z - 146 = 0, 4*j - 3*z = 582. Let y = -13251 - -13372. Let h = j - y. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12391488 and 6195744.\nAnswer: 12391488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (4 - (-3 + 11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12722 - -12725. What is the third smallest value in -22, t, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 295.127010024\nAnswer: -299.127010024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2375, -2364, -2351, -2336, -2319, -2300?\n\"Answer: c**2 + 8*c - 2384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841819?\nAnswer: 11, 103, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 14*o + 1. Let t be x(17). Suppose -48 = -4*r + t. Solve 5*d = r, -3*f + 0 = 5*d - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lltt when four letters picked without replacement from {t: 6, l: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*i**2*z - 8*i**2 + 582*i*z + i + 2*z + 2 wrt i.\nAnswer: 66*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -43950 (base 11) to base 9\nAnswer: -106338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28355380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9925.234 years in months?\nAnswer: 119102.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-729)\/(-162)*(0 - 2\/(-15)). Factor -6\/5*z - 3\/5*z**2 - p.\nAnswer: -3*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 48*a**4\/5 + 747*a**3 + 2994*a**2\/5 - 693*a\/5 = 0.\nAnswer: -77, -1, 0, 3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 3*m - 18, 4*b - 16 = 2*m + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o - 7*o + 8*o. Let r(u) = 3. Let b(z) = z - 6. Let n(l) = -3*b(l) - 6*r(l). Determine g(n(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 77 = 15*m - 38. Solve -4*i = -5*v - 3, -4*i - 28 = m*v - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20836, 42626, 64416, 86206?\nAnswer: 107996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -10*x**2\/11 - 2182016*x\/11 + 22694048\/11 = 0?\nAnswer: -218212, 52\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1037.4 - 1037. Let l = 68 + -63.9. Let k = l - 4. Put k, g, -9 in descending order.\nAnswer: g, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 1.3. Which is the closest to x? (a) 2 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-18) + 1\/2. Let i = -0.156 - -1.496. Let c = i - 1.64. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28\/141, -3, 8?\nAnswer: -28\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3566, 1772, -1210, -5380, -10738, -17284, -25018?\nAnswer: -33940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 9 - 19 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3434054 a multiple of 1147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {t: 6, s: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.3 * 1.049.\nAnswer: 40.1767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 3, r: 13}. What is prob of picking 1 b and 1 a?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -2 - 1*-1. Suppose 0 = k*r + h - 131, -5*r + h - 57 = -186. Suppose 3*d + 3*w = 54, -3*d + 5*w = -4*d + r. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182*p - 183*p + 0*p**2 - 90 + 361*p + 3*p**2 + 11 to the form r*p + m + i*p**2 and give m.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -14) + 650\/81 + -2?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 87106953 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 8*j - 4*j**2 - 8*j. Let n(f) = 4*f + 9. Let t(w) = 12*w + 30. Let c(i) = -10*n(i) + 3*t(i). Determine l(c(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 7:04 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 16 - 29)*(-n + n + 3*n)*(6*n + 10*n + 8*n - 4*n) in the form q*n + x*n**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*t**2 + 24*t**2 + 12*t - 12*t to k*t**2 + a + z*t and give k.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91273536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.45 + 3.44997756. What is l rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 3*j**2 - 2*j**4 - 14749*j**3 + 14749*j**3 + 2*j + 3 to the form v*j**4 + x*j**2 + k*j + i + z*j**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*t - 218, -4*a - 67*t + 68*t + 222 = 0. Solve 62*o + 6 = a*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5683*l + 56903. Calculate p(10).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/(-175) + 129\/105 + 0.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -593.19887372 + 815.198872785. Let f = 222 - t. Round f to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1198 and -5\/6.\nAnswer: 3594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/683152 and -67\/20.\nAnswer: 3415760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -4546*c + 4552*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88889 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + ((sqrt(684) - ((sqrt(684)*-1 - sqrt(684))*-5 + sqrt(684)) - (2*sqrt(684) + -2)) + 4)**2).\nAnswer: -5184*sqrt(19) + 591210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 12. Give k(31).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58100280 rounded to the nearest 1000000?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/60 - s**4\/2 - 7*s**3\/6 + 9*s**2. Let o be q(-11). Solve -2*a = -5*z - 3*a + 8, o*z + a = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**5\/60 - x**4\/24 + x**3\/2 - 2*x**2. Let u = -358 + 354. Let g be w(u). What is the highest common divisor of g and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10236)\/72 - (-1)\/6. Is 5*a\/(-1) + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/244110 and 83\/41097?\nAnswer: 32466630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.5 or 315\/253?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**3 + 20*p**2 - 9*p + 2604. Let x(c) = -4*c**3 + 11*c**2 - 5*c + 1308. Let g(b) = 5*k(b) - 9*x(b). Differentiate g(n) wrt n.\nAnswer: 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 5555262885 - 5555262885.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -36907\/1464?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 22134*n - 530064.\nAnswer: -2*(n + 24)*(n + 11043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27.36 * -0.07.\nAnswer: 1.9152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -168*w**3 - 5*w**2 + 5*w - 2. Let g(v) = -253*v**3 - 7*v**2 + 7*v - 4. Calculate -5*g(n) + 7*l(n).\nAnswer: 89*n**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*z*(z*z*z**3*z)\/z)\/(z\/(z**(1\/2)\/z*z*z*z))**(-2\/43) assuming z is positive.\nAnswer: z**(-46\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*sqrt(133)*-4)\/(-3*sqrt(700)))**2.\nAnswer: -32*sqrt(19)\/15 + 2116\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(64)*2)**2 - (sqrt(2268)*1)\/(sqrt(100)*1).\nAnswer: -9*sqrt(7)\/5 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 1ca20d?\nAnswer: 1ca212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/4*8\/10. Let p = -7 + u. What is the second derivative of -2*s**3 + 10*s - 11*s + p*s**3 wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**5\/20 - b**4 + 13*b**3\/6 - 17*b**2\/2 - 3*b. Let u be v(11). Solve u*r = -4 - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 15642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022131 - 1101?\nAnswer: -1023232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**2 + 0*f**2 + 117*f - 123*f.\nAnswer: -7*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 623961574 divided by -311980787\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - -0.6272005.\nAnswer: 67.6272005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q - 3. Let k be w(-8). Let n = -33 - k. Suppose f - 42 = -n*f. What is the smallest common multiple of f and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4637551*i = -4637586*i - 910 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + i + 20. Let z be b(5). Solve z*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 140 = -5*a - 2*r, -3*a - 68 = -2*r. Let k = a + 34. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = 3*t + 576, t + 4*m + 192 = 0. Let d = 183 + t. Sort 0, 5, d, -3 in increasing order.\nAnswer: d, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3980 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-7))\/(6\/(-21)*-2). Let x = 443\/5 + -89. Let w = -70.1 + 70. What is the biggest value in i, -0.5, w, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 544133\/2864226 - 40\/9007. Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*m - 56, -v - 5*m + 47 = -4*v. Let w(z) = z**3 - 5*z**2 - 2*z + 1. Let t be w(4). Let j = v - t. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -844.8 - -844.4. Put n, 8, 2\/9, 2\/3 in decreasing order.\nAnswer: 8, 2\/3, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48722, 48689, 48654, 48617, 48578?\n\"Answer: -t**2 - 30*t + 48753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q + 1. Let w be k(-7). Let r(n) = 6*n**2 + 20*n - 13. Is r(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b - 23*b - 9*b - 5*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b*l**5 - 3*b*l**2 - 2*b*l - 4*l**5 + 6*l**2 wrt l?\nAnswer: -660*b*l**2 - 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(132) + sqrt(132)*-2 + sqrt(132))*-5)\/(sqrt(36)\/sqrt(75))*-3*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 6. Let w be -2*3\/12*l. Solve w*r + 22 = -2*r + q, 0 = -4*r - 3*q - 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*q - 206*q + 63 = -403*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -23*a. Let i(p) be the second derivative of -p**4\/4 + 3*p - 7. Determine y(i(r)).\nAnswer: 69*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 4507890.\nAnswer: 9015780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:35 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 15 = -2*t + 116, u + 3 = 0. Sort t, -4, 3, 5, -3 in descending order.\nAnswer: t, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eec when three letters picked without replacement from {x: 5, c: 2, e: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2. Let h(a) = 25782040*a**2 - 1313598*a - 16841. Let f(v) = 3062*v**2 - 156*v - 2. Let l(j) = 16841*f(j) - 2*h(j). Give l(q(w)).\nAnswer: 48992*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24650?\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(3) - sqrt(30)\/(sqrt(10)*-2) - -2*-2*sqrt(3) - (3*sqrt(108) + -5)) + -1)*-5)**2.\nAnswer: -178350*sqrt(3) + 1155700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -3a93745?\nAnswer: -3a93747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(108)*-2)\/sqrt(6) + -4)**2 + (sqrt(132)\/sqrt(176) + sqrt(12) - sqrt(12))\/(sqrt(600)*2)).\nAnswer: 3841*sqrt(2)\/16 + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167654, 2, -47.\nAnswer: -167654, -47, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 983722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/16 and 451\/(-112) + (-22)\/77?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:35 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2\/15, -0.025, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t - t**2 + 4*t + 0*t + 0*t - 3*t**2 + (4 - 4 - 2*t)*(-1 + 1 - t) to v*t + x + m*t**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 882 (b) 0.09 (c) 269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1447 + 1450. Solve -14*f + d = -53 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2950817574 to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaiaaicii. What is prob of sequence aaia?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0 + 10. What is the third derivative of -24*o**3 + o**4 - 23*o**y - 19*o**2 + 41*o**2 + 2*o wrt o?\nAnswer: 24*o - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 169. Let l = k + 97. Let v = -18 + 16. Put 14, l, v in descending order.\nAnswer: 14, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2585\/39 + -9215603\/139035. Which is smaller: d or 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29335000 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 18}. Give prob of sequence ss.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 59935994.04.\nAnswer: -59935993.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/((d\/(d\/(d\/((d\/(d\/d**6*d))\/d))))\/d)*d**(4\/11)\/d**(1\/7))**15 assuming d is positive.\nAnswer: d**(1410\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 11 - l**4 + 3*l**2 + 7 - l + l**3 - 20 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p - 326 - 305 = 2*b - 647, 2*b = 3*p - 129 for b.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2 + 12*y + 14 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 + 30*r - 5. Let h be u(7). Let x(k) = -k + 7. Let i be x(h). Which is the nearest to -1? (a) 1\/6 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45*y**4 - 80648*y**3 - 2*y + 88239990?\nAnswer: -180*y**3 - 241944*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*2\/((-3)\/(-3)))\/2. Let h(u) = 5*u**2 + 7*u + 9. Let c be h(g). Suppose -12*v + c*v = 15. Solve -v*w + 9 = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/44?\nAnswer: -9\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2 + 0*y - 2*y + y. Let o be n(2). Is 79*(1 + o\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.3. Suppose 0 = 4*f - 4. Let y(c) = 6*c**2 - 1. Let z be y(f). What is the nearest to -2 in -0.1, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14867\/7 + -2122. Let j = -3.1 + 3. Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.68 - -3.1. Let t = v + -0.02. Which is the closest to 1\/3? (a) -5 (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 113df?\nAnswer: 113e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((37914\/2272)\/(-89))\/(2\/(-40)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -16*u - 80. Let w be n(-5). Let z = -5\/163 - -178\/489. Which is the nearest to w? (a) -1 (b) 0.2 (c) 0 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1635496 smaller than -1635494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-215516)\/(-10) + (-22)\/(-1045)*19.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46.46955 nanograms?\nAnswer: 0.04646955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.6336 from 791.\nAnswer: 786.3664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 2*h - 8. Let g(n) = 3*n**2 + 3*n + 13. Let c(i) = 3*g(i) + 5*z(i). Let r(b) = b**3 - b**2 + 2*b + 1. What is -2*c(l) - r(l)?\nAnswer: -l**3 + 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 1176*k**2 - 2364*k - 1184.\nAnswer: 4*(k - 296)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -2)*-11*18\/(-27). Suppose 10 + 112 = 5*l + 4*w, 0 = -l + 2*w + 16. What is the highest common factor of l and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 396, 1345, 3196, 6249, 10804, 17161, 25620?\nAnswer: 36481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -65. What is the third derivative of -8*m - 16*m**2 - 13*m**2 + 10*m**3 - k*m**3 + 25*m**2 wrt m?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 21756 + 10372 = 2*g, 3*g - 48225 = 2*j. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 1492904.\nAnswer: 4478712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-2)*37*(-176)\/(-43956)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -70*n - 1 - 5*n**2 + 5 + 4*n**3 + 137*n - 63*n. Calculate the least common multiple of 24 and t(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15\/6*(-376)\/(-10) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332 (base 4) to base 13.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 2159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Suppose b*u + 2*v = 12, 5*u + 4*v = -0*v + 29. Suppose 2*k - u = 1. Solve 3*w + 5 = -0*r + 2*r, k*w + 4*r = -17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 9*k**2 - k - 16. Calculate u(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1856*q**2 - 562 + 5*q + 562.\nAnswer: -1856*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 5*p**2 - 1. Let w(q) = 3*q**3 + 10*q**2 - 4*q - 3. Determine -2*o(t) + w(t).\nAnswer: 5*t**3 - 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8\/5, 17, 4 in increasing order.\nAnswer: -3, 8\/5, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-50))\/(2\/5)*-2. Put -9, 5, -3, t in descending order.\nAnswer: 5, t, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.198065 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -817526 + 817526.3790462. Let y = i + -0.379. What is y rounded to 6 decimal places?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/120 + b**5\/30 + b**4\/24 + b**3\/3 - 2*b**2. Give j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17816 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 2*q - 8, 3*v + 5*q + 24 = 0. Let b(r) = -16*r**2 - 8*r - 8. Let s(x) = -11*x**2 - 5*x - 5. What is v*s(a) + 5*b(a)?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.01 (b) -4 (c) -1.236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-14) + 342\/684?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*m = -144*m - 45. What is the second biggest value in m, 5, 2\/17, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 8, -1, 0.2, 3, -22.\nAnswer: -22, -1, 0.2, 1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276734*o**2 + 6*o - 1818.\nAnswer: -553468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1100010001?\nAnswer: 1100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4)*n**7\/n*(n**(-1\/4)*n)**(1\/39))**9 assuming n is positive.\nAnswer: n**(1413\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 31*i - 1. Suppose 0*l + 2*l + 3*j = 15, -3*j = l - 12. Let s be h(l). Suppose y - s = -3*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*b - 58*b**3 + 104*b)*(-1 + 1 + 2*b**2).\nAnswer: -116*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 212, 4, 3, -6, 0 in ascending order.\nAnswer: -6, 0, 3, 4, 5, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q*y**2 + 7*q*y + 18*q - 4*y**2 wrt y?\nAnswer: 2*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 13. Let j = u + 16. Which is the second smallest value? (a) 1 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352 and 22434764.\nAnswer: 179478112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-2)\/(-3)*-6. Let u = -36 - -65. Let z = -17 + u. What is the highest common divisor of x and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6007.285ml in litres?\nAnswer: 6.007285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-770)*10*11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5009634 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-3)*((-880)\/(-66))\/10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 223476?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3) + 5 + (-14 - (-1 + -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 6*l - 6. Let r be x(-4). Suppose -r*m = m - 24. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 13) to base 3.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**3 + 0*l**3 + 3*l**3 + (22 + 3*l - 22)*(-51*l - 2069*l**2 + 1024*l**2 + 1036*l**2) in the form u*l**3 + z*l**2 + v + y*l and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f - 962 + 4*f + 968 to o*f + y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 0.6, 2 in descending order.\nAnswer: 73, 2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*r)*(-3 + 1 - 1) + 0*r - r + 3*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -772?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/135467?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = b + 2*y, b + 4*y - 3*y - 2 = 0. Solve 4*u - 5*s + 26 = 0, 2*s = -4*u + b*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + y + 2. Let n be z(2). Suppose h - n = 5*h. Let k be 1\/(-3)*0 + 3. Put k, 5, h in descending order.\nAnswer: 5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58751967.\nAnswer: 3, 37, 61, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7404, 7199, 6900, 6507, 6020?\n\"Answer: -47*j**2 - 64*j + 7515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 2)) + 4 + 3 - -4*(sqrt(1300) + 1*sqrt(1300) + sqrt(1300))*1))**2.\nAnswer: 2600*sqrt(13) + 219800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21462906, -42925809, -64388712?\n\"Answer: -21462903*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*o + 124 - 124)*(o - 2*o - 1 + 3) + (0 + 0 - 3*o)*(2*o - o - 4*o) in the form d + g*o**2 + n*o and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -4*j + 8*j. What is the remainder when j is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*s + 2, 4*o - 2*s + 5*s = -2. Let r be (-6)\/(4 + 11\/o). Suppose -2*i - 22 = -4*c, -c + 5*i + 0 + 28 = 0. Solve -c*a - 5 = -r*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.03 * 0.41679.\nAnswer: 0.4292937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 5) in base 12?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o - 24. Let r = o - -12. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18079305 and 3210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 941?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 361*b**3 - 367*b**3 + 189 + 3*b**4 - 46*b - 49*b + 5*b - 96*b**2 + 0*b**4.\nAnswer: 3*(b - 7)*(b - 1)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16683\/2 - 8341. Let p(t) = -t**2 - t - 1. Let o be p(-2). What is the third biggest value in o, 0.3, h, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 21\/46, -3, -4, -69\/4, -11?\nAnswer: 21\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.61 + -0.75. What is the biggest value in 3, -1\/6, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1967?\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m*m\/(m*m*m*m**(2\/9)))))\/m)\/(((m*m**(1\/7)\/m)\/m)\/m))**(-1\/14)*(m**(-1\/6)*(m*(m**(-1\/2)\/m)\/m*m)\/m)**(-48) assuming m is positive.\nAnswer: m**(70583\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -294127 not equal to -294128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 21. Suppose 3 = 7*p - 4. Calculate the greatest common factor of p and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -6, -1\/3, -4\/7, -8\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1927 and 1269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 11\/(-3) - -7. Let g = -16.1 + 17. Sort -0.2, l, g.\nAnswer: -0.2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111020 (base 3) in base 5?\nAnswer: 24230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297321582?\nAnswer: 2, 648660791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -290169*x + 51*x**2 + 290169*x. Let m(u) = 16*u. Give m(f(g)).\nAnswer: 816*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.77717 decades to years.\nAnswer: 167.7717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 2. Suppose -2*a + 0*a - 5*g + 21 = 0, g = 3*a + 11. Let f be b(a). What is the units digit of (f + 3)\/1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16064709 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.34 - -0.04. What is the second biggest value in -2\/5, 4, -2\/9, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758871671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 638*x**2 + 438?\nAnswer: 1276*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + g + t + 471, 0 = 5*g + 3*t + 781. Is (g\/(-6))\/((-3)\/(-27)) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72\/53 + -417\/424. What is the smallest value in 3, 2\/21, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13467 + 266?\nAnswer: -13201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1)\/((-12)\/28)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 7*h - 3. Let m be x(-6). Suppose 0 = -m*r - 4*l + 459, -8*r + 2*l = -7*r - 143. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(3\/(-18)). Sort y, 1, 4, -2 in decreasing order.\nAnswer: 4, 1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 146 + 988)*(3*v**3 + 5*v - 5*v).\nAnswer: 2817*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.0266, 5, 0.4, -4?\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*h + 3*h. Suppose 0 = -5*b - 0*y - 2*y + 321, -b - 5*y = -78. What is the highest common divisor of h and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.043. What is x rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Solve -3*z + 3 = -l*q + 9, z = 2*q + 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 10*c - 53. Suppose -h + 64 = 3*a, 4*h - 2*h - c = -2*a. Solve -6*p + p - a = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58809.5 times -4?\nAnswer: 235238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -2090 = -2082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 740 + -794. Let x = -410 - -576. Let q = w + x. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9922*x**2 + 3166*x + 249. Let m(r) = -4963*r**2 + 1583*r + 115. Let k(u) = -6*j(u) + 13*m(u). What is the second derivative of k(o) wrt o?\nAnswer: -9974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1883808 by 26164.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -5a?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5521787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74025, -148050, -222075, -296100?\n\"Answer: -74025*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(147) + 4)**2.\nAnswer: 112*sqrt(3) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 3.1 (c) -10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -1\/6, 2\/23, -6\/109, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(209)*-2)\/((1*sqrt(121))\/sqrt(11)).\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 753+-8.2\nAnswer: 744.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**8\/840 + x**4\/12 + x**3 - 3. Let v(r) be the third derivative of k(r). What is the first derivative of v(u) wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 5, k: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 902*t - 899*t - o, -4*t - 3*o - 46 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**4\/12 + 17*q**3\/6 - 2*q**2 - 6. Give k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 - -147. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 - -146. Calculate the remainder when 39 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*h - 72 - 3545*h**3 + 3523*h**3 - 52*h to the form n*h**2 + s + l*h**3 + k*h and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, 11\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/63 + 141\/21. Let y(s) = -s**3 + 7*s**2 - 5. Calculate y(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(224)*2)\/(1*sqrt(512)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*g - 7 = 0, -6*g + 23 = 3*u - 2*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = 13*w - 7*u - 11, 2*w + 19 = -5*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35803271521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 - 4. Let c = 904 - 903.5. What is the nearest to 0 in 4, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-45) - (-26)\/(-10). Put -26, -2, s in descending order.\nAnswer: -2, s, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 50 = 3*i - 10, 8831 = 8*i - 5*b + 8696 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 65\/30 + 33977\/(-3342)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 131 - 111 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggm when three letters picked without replacement from {e: 1, a: 3, g: 3, h: 2, x: 2, m: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Suppose n*f + 4*i = 16, 4*f - 5*i - 1 = 10. Suppose -f*r = -9*r + 75. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.57607169 rounded to one decimal place?\nAnswer: 78.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -969*d + 413. Let v be p(-7). Suppose -30*i + v = -24454. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 4 + -1 - -3. Let c = b + 27. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c - 119. Let d be j(-20). Which is bigger: d or 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -317, -469?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2097 - 2129. Put 8, 3, t in decreasing order.\nAnswer: 8, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44145 - 44140. Is -31 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 + (-47)\/(-10). Let t be -6 + (-16)\/(-8) + (-12 - -22). Do t and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 2*r**2 + 5. Give u(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -11.\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -19*l + 94. Let f be x(-14). What is q in 40*q**3 + 236*q**2 + 2*q**4 + 123 - 12 + f*q + 51 = 0?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 284 or 1998\/7?\nAnswer: 1998\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 373241.\nAnswer: 19\/373241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3744 and 449904.\nAnswer: 2699424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 733407.8kg?\nAnswer: 733407800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22 - (-2 - -2)\/5. Let l = o - 8. Solve -b = 2*r + 5, 5*b + 2 + l = -r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-4))\/(39\/(-26)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 31*n**4 + 1 - 2*n**2 + n - 23*n**4. Let g(r) = r**4 + r**2 + r - 1. Let y(h) = -g(h) + x(h). What is the derivative of y(p) wrt p?\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60519900 rounded to the nearest 100000?\nAnswer: 60500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*g + 155, -s + 3*g = 4*s - 465. Suppose t - s = -t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*z - 5514 = -2682 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 81*s + 43. What is the hundreds digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 1\/24*f**4 - 6*f**2 + 0*f + 0*f**3 - 2. Let i(s) = -4*s**2 - 7. Calculate i(m(d)).\nAnswer: -4*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 9:17 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11213 and 3701.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.270428 or -274?\nAnswer: 1.270428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 2, w: 1, a: 3}. What is prob of picking 1 w and 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 675 - 307. Calculate the highest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n + 47. Let t(x) = 11*x - 48. Let j(k) = -6*q(k) - 5*t(k). What is the derivative of j(c) wrt c?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -77721 (base 11) to base 14\nAnswer: -2d0c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257 + 43*z + 148 + 72 to the form j*z + b and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2. Let f(o) be the first derivative of -3*o**3 - 28. Determine f(i(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 276140 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(65169\/(-80208))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 + -18774.694\nAnswer: -18775.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492212 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1392 - -1507. Which is the third biggest value? (a) -5 (b) q (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/(2\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*j - 185*j + 90*j - 98 to t + l*j and give t.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (-6*(sqrt(405) + 3 - sqrt(405)))**2)*-1.\nAnswer: -9*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t - 4*l = 0, -l = -2*t + 4. Suppose -5*i = i - 144. Suppose 2*f = -6*f + i. Sort t, -2, f.\nAnswer: -2, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 938.9298t?\nAnswer: 938929.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26750.99999968206 + 26751. What is r rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 4*g**2 + 2. Calculate v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**(3\/4))\/o))\/(o*(o**6\/o*o)\/o*o))**(-19\/4) assuming o is positive.\nAnswer: o**(513\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6706, -15260, -23830, -32416, -41018?\nAnswer: -49636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*g - 7, -60*g + 55*g + 4*s = -22. Suppose -13 = -2*x + 1. Calculate the lowest common multiple of g and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 387*i**2 - 18*i - 18. List the prime factors of v(-1).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*f**3 - f**2 + 1\/3*f + 1 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {m: 2, k: 3, t: 12}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:32 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by -3.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = h - 3, 0 = 3*p - h + 2 + 1. Suppose 4*m + 116 - 660 = p. Is 33 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170\/29 not equal to 1775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83341428 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -41. Let h(x) = 3*x - 13. Let r(u) = -7*u + 26. Let v(t) = 5*h(t) + 2*r(t). Let p be v(w). Solve -y = 3*y - p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 + 48. Let r = -51 - t. Solve -11*j - r = -6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/352333 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5232456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162112376 is divided by 619.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -482*w**2 - 4*w**3 - 15 + 3*w + 485*w**2 + 2*w**3 - 4 in the form g*w**3 + v*w + j*w**2 + l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgoddggdyojy. Give prob of sequence jby.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4\/7*a**2 + 2\/7*a - 2\/7*a**3 + 4\/7 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23 - 21)*(1 - 0). Suppose -2*a + 15 = 2*x - 11, s*a - 27 = -x. What is the least common multiple of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 3*x**2 + 4*x + 3. Is z(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 867495 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 5*t**2 - 5*t - 6. Suppose -2*h - 3*k + 12 = 0, -3*h = -2*h + 4*k - 6. Let m be v(h). Suppose m = 3*c + c - 48. Solve 4*d + 0*d = c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242198549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4730 divided by 260?\nAnswer: 473\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1)\/(1\/(-3233)). Suppose -h - 1933 = -6*t. Is 30 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmi when three letters picked without replacement from idjmoiyyyiiy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 1\/481, -4, 5 in descending order.\nAnswer: 5, 1\/6, 1\/481, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 87 + 99. Suppose l - 7 + 1 = u, 0 = -5*l - 2*u + 37. Suppose -l*t + c = -t. Solve g + 14 = -t*h, -3*h - 3 = -3*g - 0*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 7*z - 8. Calculate r(11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 187, 2277, -5, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0321002m to nanometers.\nAnswer: 32100200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-1671)\/1686 + 1). Let j = r + -27799\/1124. Find the common denominator of j and 52\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**4)**(-4)*(x**(-1\/2)*x)\/(x\/(x**(6\/19)*x*x)))**(-1\/3) assuming x is positive.\nAnswer: x**(691\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*v*w - j**2*w**2 - 3*j*w**2 - 2*v*w**2 + 103*v*w - 255*w wrt v?\nAnswer: -2*j**2*w - 2*w**2 + 103*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -73de5 (base 15) in base 12?\nAnswer: -158908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*i*k**3 - 5*f*i*k**2 + f*i - f + 5*k**3 + 109*k wrt k?\nAnswer: 18*f*i*k - 10*f*i + 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 74 = -3*l, 33*g + 79 = 5*l + 25*g. Calculate the greatest common divisor of 8775 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 12:50 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvtvtvvvvvvvvvvvvvvv. Give prob of sequence vvv.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -13*h - 50. Let g = 9 + h. Let y(f) = -f**3 - f**2 + f - 1. Let i(l) = -7*l**3 + 17*l**2 - 29*l + 13. Let m(d) = g*i(d) + 3*y(d). Factor m(u).\nAnswer: 4*(u - 2)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331353018 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 109787876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16*g + 21. Let j(r) = -3 - 2 - 3 + 3*r + 4. Let w(o) = 11*j(o) + 2*k(o). What is w(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.018 or 1596?\nAnswer: 4.018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 871 divided by 7.\nAnswer: 871\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -6\/7 (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 110885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5921?\nAnswer: 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080\/(-884) + 16\/8?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -b - x, 797*b - 794*b = 4*x + 13. Which is smaller: -2\/1269 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w + w)*(-2*w**3 - 2*w**3 + 2*w**3) - 8559274 + 8559274 - 4613*w**4.\nAnswer: -4615*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Let g = 20601.1 + -20601. What is the second biggest value in 3\/10, b, g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**3\/6 + b**2 - 2*b. Let i be q(-2). Suppose i = 3*x + 2*x + 25. Put -4, 4, x in decreasing order.\nAnswer: 4, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -845827, -845833, -845839?\nAnswer: -845845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1452)\/363*6\/32*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 516, 807, 1098, 1389, 1680, 1971?\n\"Answer: 291*z + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -17 - 4 + 2 - 94 - 18*y. Let x be q(-6). Put -43, -4, x in ascending order.\nAnswer: -43, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8379383 to the nearest integer?\nAnswer: 2895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -47385*p**3 - 648*p**2. Let w(d) = 1102*d**3 + 15*d**2. What is 5*h(n) + 216*w(n)?\nAnswer: 1107*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 3*c - 3. Let h be j(2). Let d be (2 + h)\/1*-43. Let u = 91 + d. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 7 - 25 = 3*q, -3*j + 3 = 0. Let c = q - -3. What is the tens digit of (3\/c)\/(-1)*36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/66 (b) -2 (c) 1 (d) -1\/4 (e) 2667 (f) 2 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.28263t to kilograms.\nAnswer: 60282.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(-5*sqrt(13) + sqrt(13)).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137970, -137971, -137972, -137973, -137974?\nAnswer: -137975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81.724 + -83.8. What is i rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b + 35*b = -4. What is the least common multiple of 3 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 15*z**2 - z - 11. Let m be v(-15). Suppose -21*r + m*r = -408. What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 18 - -22)*3\/(-7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -4, 4, 2, -102.77 in ascending order.\nAnswer: -147, -102.77, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2615 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6315 = x + 6318. Let z(f) = -2*f**3 - 3*f**2 + 3*f + 3. Let d(m) = -4*m**3 - 5*m**2 + 5*m + 6. Give x*d(o) + 5*z(o).\nAnswer: 2*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/9*r**2 + 22\/9*r**3 + 0 + 2\/3*r - 1\/3*r**4.\nAnswer: -r*(r - 6)*(r - 1)*(3*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.109 + 0.393. What is i rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10085 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21185 take away -288847661.2?\nAnswer: 288826476.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101996321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6925, 6928, 6931, 6934, 6937?\n\"Answer: 3*b + 6922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1611*(-32)\/(-2592) + 21. Factor 20\/9 - 46\/9*s - v*s**2.\nAnswer: -2*(s + 5)*(5*s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 23. Give w(-44).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2574749 to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(3))\/sqrt(8) - (4 + sqrt(2) + -2*sqrt(2) + sqrt(2) - sqrt(2))) + ((sqrt(2) - 2*sqrt(2)*4) + -1)**2 + 0.\nAnswer: 16*sqrt(2) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)*(a\/a**7)\/a*(a\/a**3*a*a)\/((a**(-5\/2)\/a)\/a)*(a*((a*a**(-8\/3))\/a)\/a*a**(2\/31))**20 assuming a is positive.\nAnswer: a**(-10703\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 59 = -3*k, 18762*z - 3*k = 18759*z + 45 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 5 = -5*x, -77 = 4*z - 5*x - 82 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 2:48 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caacaaa. What is prob of picking 1 c and 1 a?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2724607953 less than 1407.7?\nAnswer: -2724606545.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1992728 >= -1992611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -621*u**4 - 20487*u**3 - 158157*u**2 + 180999*u - 1734 = 0.\nAnswer: -17, 2\/207, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 90 = 3*b. Let w be (-4)\/b + 136\/36. Sort -0.2, -1\/3, w in ascending order.\nAnswer: -1\/3, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 0.2 (b) -0.35145 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 14*h + 207.\nAnswer: -(h - 23)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l + 3. Calculate x(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 3. Suppose -3*n + n = -8. Let b(o) = o**3 + 2. Give n*a(k) + 6*b(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.4. Let r = 4 - 0. What is the biggest value in 3, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6217\/29 or 213?\nAnswer: 6217\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 - 131. Let j be (6\/15)\/(2\/o). Round j to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -16. Solve 2 = -q*w + w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Suppose 7*t = r + 2*t + 32, 2*t = -2*r - 4. Which is the nearest to r? (a) 2 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8797849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6519?\nAnswer: 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven tenths of a meter?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m**3 - 673*m**2 + 106*m + 15994. Determine c(-84).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1183 divided by -7.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 744?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -60*u + 71*u. Does 18 divide -1 - 3035\/(-20) - (-5)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -35?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22841037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/5 (b) 25.6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 104651, -57\/7?\nAnswer: 104651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3250?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 131 times 999.46\nAnswer: 130929.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(37*(-67)\/(-74370))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -153 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 132*z - 17805. What is y(130)?\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 11*v + 55 = 0. Solve h + v = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 1. Let x(w) = 7*w. What is the smallest common multiple of x(q) and 1\/1*(4 - -5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82175910 and 3170?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/507 + 487\/5070. What is the second smallest value in c, -2\/7, -5, 2\/227?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 239 + -240.53. Let r = v + -0.47. What is the biggest value in -0.1, 0, -1\/5, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 19*y - 3. Let z(n) = -24*n + 4. Let u(f) = 5*l(f) + 4*z(f). Calculate u(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35055715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*sqrt(192)*1*-6 - (-4 + sqrt(1200)*4)**2).\nAnswer: -19220 + 880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 1352.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4789 or 4787?\nAnswer: 4787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2834\/7 - 24995\/63. Let o be 5\/(-1 - (-16)\/15). Let l = -50 + o. What is the common denominator of p and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*v - 152*v + 4195 = 363*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*y + 64*y = -7. Suppose 0 = -2*d + 10 - 4. Is d\/y + (-4048)\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2619513 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5290029\/5 or 1058007?\nAnswer: 1058007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -545, -543, -543, -545?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 393241039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17c6 + -1?\nAnswer: 17c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5*5 + 1)*(-25)\/(150\/32). Solve -n = 38*g + 100 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {h: 8, m: 5, c: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - -1.1. Sort t, 4, -2\/7 in descending order.\nAnswer: 4, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 21*x + 32*i - 36*i = 28, 5*x - 3*i - 29 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 89 = -5*p + 209, p - 48 = 5*t. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1 - 4 + 2*q + 3*q + 2. Let o be g(1). Solve -6 - 14 = -o*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25046243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13961 and 1633.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-34 - -13) - 13) + 6 - 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 66. Let f be (-30)\/(-336) - n\/(-7). Let g = -4 - -3. Which is the closest to g? (a) 3 (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 112387 and -2?\nAnswer: 112389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 352177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 167\/501*(-12)\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) + 2\/(-6). Let f = 334.766 - -0.234. Let d = 336 - f. Which is the nearest to i? (a) -3 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 973 - 1*(-2 + 14). Which is smaller: j or 959?\nAnswer: 959","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 4*h = 16*t, 11 = 4*t - h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 230099*u**2 - 380*u + 476821248 wrt u?\nAnswer: 460198*u - 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - y - 2. Let o be a(4). Suppose -i = i - o. Solve 3*f - 11 = -3*h + i*h, 0 = -h - 4*f + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 300948344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 1:12 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1153, -0.5, 2, 21, 2\/11, 0.63, 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvvgk. Give prob of sequence ggk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 166105721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/5 + 52*g**2\/5 - 169*g + 4394\/5 = 0.\nAnswer: 13, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1416 and 65\/236.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 397 + 463. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29657323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 88429, 88325, 88221, 88117?\n\"Answer: -104*w + 88533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/19 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14969 divided by 12?\nAnswer: 14969\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3476 and 264?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/11 (b) -0.3 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (((sqrt(32))**2 + sqrt(2))*3 + sqrt(2))) + (-1*(sqrt(2) - (sqrt(2) + 1)))**2 + (4 + sqrt(8) - sqrt(200)*-2)**2.\nAnswer: 173*sqrt(2) + 889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 237 + -53?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 23*f**2 - 7*f + 5. Let m(i) be the second derivative of -i**4 - i**3\/2 + 3*i**2\/2 - 4*i. Let y(t) = 3*g(t) - 5*m(t). Factor y(x).\nAnswer: -3*x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 12:23 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*2*1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**4\/12 + j**3\/3 + 2*j**2. Suppose 0 = -3*q + 4*q. Suppose -3*a - 3*d + 15 = q, 3*d - 13 = -5*a + 4*d. Calculate g(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**6*l*l))*l*l*(l\/l**3)\/l)\/((l\/(l\/(l*l**(-2\/3)\/l*l)))\/l*l*l**(-2)) assuming l is positive.\nAnswer: l**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 12 + 3. Let x be (-1)\/3 + (-20)\/(-6). Let s = l + x. Is s less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -111\/5. Let m(x) = x**3 + 6*x**2 - 5. Let j be m(1). Factor 1\/5*g**j + 0 + d*g.\nAnswer: g*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0046072708 rounded to 4 decimal places?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 125405614 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-2) + (15 - 11). Let z = -3 - -13\/5. Is l < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/90460 and 51\/11?\nAnswer: 995060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = -78. List the prime factors of (-9)\/6*a\/(-1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/9) + 22 + -19\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 3, -32925, -42, -2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*q + 0*q = -523994, -3*q = k - 524009. Round k to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**4\/24 + 9*o**2. Let u(j) = -j**2 - j + 1. Let b(p) = -3*p**2 - p + 1. Let k(x) = -b(x) + u(x). Calculate k(z(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - i**2 + 0*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**3 - j**2 - 22*j + 159. Give d(4).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 5, m: 3, c: 4}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*m - 104*m + 59540 = -328*m for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqtqqtdqtqqtqtqt. Give prob of sequence tt.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.78\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 - 4*b**2 + 2*b. Let j be x(3). Let g be j\/35*-2 + 1\/5. Solve w + 15 = -g*i, 0 = i - w + 3*w + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**2*x**3 + 890*t**2*y**2 + t*x**3*y**2 - 18*x**2*y wrt y?\nAnswer: 1780*t**2 + 2*t*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u - 5413896 - 19633072 + 4273967 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 61 (b) 0.2 (c) 4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 5*m + 45, -12953*a = -12957*a - 12 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*u - 311*u + 69*u - 234*u + 13*u as n*u + t and give n.\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/8408 and -30\/1051.\nAnswer: 8408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 21*n**2 + 90*n + 8. Let a be l(15). Solve 0 = -a*p - 116 + 68 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/2)\/((-8)\/(-12 + -12)). Solve 0 = 5*j, -h = 3*p - 6*p - 4*j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(4 + 5 + -2 + (sqrt(432) - 2*sqrt(432)) + (sqrt(432) - sqrt(432)*2) + 1))**2.\nAnswer: -24576*sqrt(3) + 114688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 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: Calculate (5 - (3 - 6) - 18) + 7 + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 6*k**2 - 670*k - 2033. Determine o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 20. Suppose -l + 2 = -3*i, -2 = -f*i + 3. Find the second derivative of o**4 + l*o - o - 7*o + 6*o wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -13. Let h = 46 - 30. Suppose z*b + h = 61. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6\/(-36))\/((-4715)\/460)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 6. Let w be (-92 + 90)\/((-2)\/6 + 1). What is u(w)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -28 + 6\/(12\/(-4)). Does 15 divide ((-54)\/(-90) - 292\/g)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 6*c**2 + 14*c + 18. Let h be v(8). Suppose 0*r = h*l + 5*r - 93, 2*r = -l + 48. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 7:06 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11371231 = -43*q + 7335360. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*u + 12, 5*u + 28 - 7 = -4*c. What is the first derivative of -2*t**3 + 5*t**3 + 1 + c wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133704 (base 13) to base 16\nAnswer: 71772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaxixaixjaajixacxij. What is prob of sequence iaix?\nAnswer: 125\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56673.7704 - 2?\nAnswer: 56671.7704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**5 - 452*i**4 - 2324*i**3 + 26372*i**2 + 28248*i = 0.\nAnswer: -107, -11, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-385)\/3 - 1\/(-3). What is the tens digit of ((-9)\/(-6))\/((-3)\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -813 + 817. Suppose 0 = 4*b + 4*a - 16, 3*a = -3*b + 7*a - 16. Suppose -p*k + 28 + 140 = b. What is the greatest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167175155 to the nearest integer?\nAnswer: 12930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-10 + 13 + 13 + 23)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966 divided by -1483?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*m + 9*m + 15*m - 1357 = -42*m for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zffqubqbbbqk. Give prob of sequence fuz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 - -1.5. Which is the second smallest value? (a) -3 (b) 0.11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 341.208 and -191.7?\nAnswer: -65409.5736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 830748 by 3882.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 6. Let y = -29.7 + -1.3. Let i = -27 - y. Which is the third smallest value? (a) 1 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 5:57 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163431465 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 9, 1, -4 in descending order.\nAnswer: 9, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19309085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 332\nAnswer: -19\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (89 - 0 - (-84 - -65)) + -25?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -15, 5*d - 669 = -2*i - 0*i. Suppose 4*s = 1514 - i. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 541 + 479. Suppose -7*x + h = -2*x. Let r = 416 - x. What are the prime factors of r?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71232206?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136789 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.2 - -7.2. Let q = 0.05 - -5.05. Let n = 5 - q. Which is the closest to n? (a) -3\/2 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50255.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -63*h - 3. Let m(y) = 5*y - 44. Let u be m(8). What is the hundreds digit of d(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 48751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) 1\/3 (c) 0.3 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 574667 + 6?\nAnswer: 574674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -5, 3, 707, 44 in descending order.\nAnswer: 707, 44, 3, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 254, 1080, 2476, 4454, 7026, 10204, 14000?\n\"Answer: 2*y**3 + 273*y**2 - 7*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8204 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -56. Which is the nearest to 0.3? (a) 0 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m - q - 1940 = 0, 4*m = -5*q + 1523. Let o(d) = -6 - 17 + 379*d - m*d - 8. What is the hundreds digit of o(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**3 + 1685954*s**2*y**2 - s*y**2 - s + 15*y**2 - 22502*y wrt s.\nAnswer: -24*s + 3371908*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbvv when four letters picked without replacement from {v: 6, g: 2, b: 4}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2646, 5330, 8016, 10704, 13394, 16086, 18780?\n\"Answer: y**2 + 2681*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/12 + 3\/(-12). Suppose -u + 15 = c*u. Let t = u - -41. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.82283 and 11.\nAnswer: 141.05113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d. Let p(h) = -2*h. Let k(v) = 10*p(v) - 6*q(v). Let z be k(0). Suppose z*i = 7*i - 147. What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8004 + 5725 + 13436 = 492*l - 21315 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/(sqrt(4) - -3*sqrt(4)) - (sqrt(7) - sqrt(175))*2) + (sqrt(7) - (1 + sqrt(7))*-2) + (sqrt(63)*-1)\/sqrt(9))**2.\nAnswer: 41*sqrt(7) + 11831\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = -0*u. Let x(m) = -m**3 - 10*m**2 - 45*m - 40. Let p be x(-2). Solve -2*z - u*z - p = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 86*m - 45795. Determine z(261).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3913431 take away 9564?\nAnswer: -3922995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor -9*m**3 + 21*m**2 + 54*m + 24.\nAnswer: -3*(m - 4)*(m + 1)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -325?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 330 + -337. Let u(s) = s**3 + 5*s**2 - 7*s + 1. Calculate u(v).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulccccccjuccj. Give prob of picking 2 u and 1 l.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 25 = -3*w, w + 4*n - 9 - 16 = 0. Let m(j) = j**3 - 2*j**2 - 3*j + 4. Let g be m(w). What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*sqrt(36))\/sqrt(12) + -2)**2.\nAnswer: -8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3469\/7 + (-6)\/(-14). Let t(g) = g**2 - 2*g + 4. Let i be t(3). What is the units digit of 2\/i + u\/28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*y = 26, -72*y + 77*y = -25. Calculate the remainder when 2206 is divided by r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -126, -176, -212, -228?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/29451867 and 12\/107990179?\nAnswer: 323970537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6737*w + 7364*w - w**3 - 14098*w.\nAnswer: -w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**3\/3 - 3*n**2 + 8*n - 115. Give j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*g + 5*g + 65, 0 = -3*q + 2*g - 58. Let y be ((-60)\/q)\/3*4. Determine z, given that 0 - 4\/7*z**2 + 2\/7*z + 0*z**3 - 2\/7*z**y + 4\/7*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2. Suppose -60 = -a - 44. Let f(s) = 33*s + 3. Let v(b) = -166*b - 16. Let l(q) = a*f(q) + 3*v(q). What is h(l(t))?\nAnswer: 900*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 - 5*p**2 + 16*p - 57. What are the prime factors of q(-9)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.361623 and 0.4?\nAnswer: 0.761623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2480, -4958, -7434, -9908, -12380?\n\"Answer: i**2 - 2481*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l + 2 + 2 + 1 - 3. Calculate s(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457622.\nAnswer: 2, 11, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 1, t: 2, b: 1, y: 1, s: 2}. Give prob of sequence tk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (287\/861)\/(1\/51)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 2*b)*(2*b**2 + 0*b**2 - b**2) + (-3 + 10 + 0)*(5*b**3 - 2*b**3 - 2*b**3).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -3, 400, 9, -5 in descending order.\nAnswer: 400, 9, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10 - 3 + 2*f - 5*f. Let m be u(-9). Let r = m + -12. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 + q**2 + q - 2. Let m(x) = 3*x**3 + 2. Let k(l) = -3*m(l) - 2*w(l). Let h(t) = 36*t**3 + 15*t**2 + 15*t + 15. What is 2*h(s) + 15*k(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1081273 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(119) - -2*sqrt(119)*-2)\/sqrt(7) - sqrt(136)\/(sqrt(648)*2))**2.\nAnswer: 50453\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 723698.8 centimeters?\nAnswer: 7236988000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3 + s - s**3 + 6*s + 5*s**2 - 4. Let o(i) = -i - 2. Let z be (-60)\/8 - (-1)\/(-2). Let g be o(z). Calculate b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*b - 10, 2*b + 7*d + 32 = 2*d. Let h = b - -10. Solve a + h*f - 15 = 0, -f - 7 - 2 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 4*d - 1. Let c(u) = -3*u**3 + 48*u**2 - 18*u - 6. What is -c(y) + 5*k(y)?\nAnswer: 3*y**3 - 43*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**5\/20 + 2*o**4\/3 + 5*o**3\/6 - 5*o**2\/2 + o. Let r be h(9). Let l = r + 72. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05848 + -68.94152. What is the fourth biggest value in v, 3, -2, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2 + 7*y**2 - 3 + y + 8*y**2 + 27*y**2. Let s be b(-2). Let q = s - 2473\/15. Put 2, q, 0.2 in descending order.\nAnswer: 2, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*m + 20 = 133*m. Let t = -34\/31 + 670\/837. Let x = -118\/27 + t. What is the second smallest value in x, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-11)*-2)\/((-1)\/(-28)*12558\/(-897))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*h**2 - 12*h**2 - 57*h**2 + 161*h**2.\nAnswer: 263*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 0*k**4 - 4 + 0*k**2 + 0*k + 8\/3*k**3 - 12\/5*k**5. Find the third derivative of w(z) wrt z.\nAnswer: -288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8. Let c be 2*(20\/8 + q). Solve -c*l - 4*s = -0*s + 28, -3*l + 2*s = 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -174.4528.\nAnswer: -10.467168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 4:46 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -47. Calculate the greatest common divisor of h and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -179820 + -184?\nAnswer: -180004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -23.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 79071 and 0.4?\nAnswer: 79070.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 14238?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 445 + -443. What is the lowest common multiple of 484 and g?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18752229 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 3*d**2 + 7*d**2)*(86*d**2 + 10*d**2 - 33*d**2).\nAnswer: 567*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2034*v. Let l(n) = -33*n**2. Calculate l(z(m)).\nAnswer: -136526148*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 70321976*b - 309073769284036.\nAnswer: -4*(b - 8790247)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5441763, -10883530, -16325297, -21767064?\nAnswer: -27208831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 187 + 1110b?\nAnswer: 11296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52126 - -52131. Let k = 93 + -650\/7. What is the nearest to -6.3 in f, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -310*a - 269*a - 11580 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4 + 3492*f**3 + 1531226*f**2 + 6083064*f + 6069128 = 0. Calculate f.\nAnswer: -871, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4212082 milliseconds to microseconds.\nAnswer: 421.2082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:09 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51890701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = i + 7, -2*i + 7*i - 1 = 3*d. Let t be (0 - 1)\/d - 11319\/66. Which is greater: -169 or t?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by 66\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18650 - 1286788\/69. Calculate the common denominator of n and -97\/18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkuukkkkkkkkkkkkk. Give prob of picking 1 u and 3 k.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 696\/20 - (-4)\/(-5). Suppose -22*x + m = -10. Solve -l + 4*k = 15, -3*l = k - x + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20193*u - 2*o + 14 = -20196*u, 32 = -16*o for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let m(n) = -186*n**2 + 5. Let z(x) = 279*x**2 - 8. Let j(i) = 8*m(i) + 5*z(i). Calculate w(j(l)).\nAnswer: 8649*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ror when three letters picked without replacement from {o: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 5 + 3*l**3)*(5*l - 5*l - 16*l).\nAnswer: -48*l**4 - 32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -1, -8 in decreasing order.\nAnswer: -1, -1.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 14*l**2 + 8*l - 10. What is the remainder when 243 is divided by k(2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117058802?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 37 = 119. Is b greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8080 or 417?\nAnswer: 417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39195.\nAnswer: 3, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 - (-18)\/(-70). Let p = 48 - 48. Which is the closest to p? (a) z (b) 4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 350082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -53668 divided by -2303?\nAnswer: 53668\/2303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 - 609*s - 606 = 0.\nAnswer: -202, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28072\/290*-1*(-5 + 0). Let d = w + -86. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 227, 339?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125658 divided by 26.\nAnswer: -4833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -17*y. Suppose 4*l + 4*a + 7476 = 8*l, 5632 = 3*l + 2*a. Let c(p) = 2 + 1876*p - 2 - l*p. What is c(s(j))?\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*z = 23, -23 = -2*d - 3*z - 36 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -68808.75 and -0.5.\nAnswer: -68809.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(3 - 11*p - 3) + (0 + 2 - 4)*(-p + 5*p - 6*p) + 4*p + 0*p - 3*p + 55*p + 27*p - 14*p.\nAnswer: 84*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8630109 litres to millilitres.\nAnswer: 863.0109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/((-126)\/(-7)))\/((-1)\/(-11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + t = -0*z + 18, -5*z + t = -45. Suppose -m = m + 8. Let v = z + m. Solve -4 = -3*k + v*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmhmmmmmmlmtmcmmlmh. What is prob of picking 2 m and 2 h?\nAnswer: 91\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**5 + 169048*f**4 - 2030162*f**2 wrt f?\nAnswer: 300*f**2 + 4057152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4818*r**2*v**3 + 3829*r**2*v - 221*r**2 + 70*r*v**3 wrt v.\nAnswer: -28908*r**2*v + 420*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**5\/13 + 18*j**4\/13 - 14*j**3\/13 - 18*j**2\/13 + 10*j\/13 = 0?\nAnswer: -5, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.07795989.\nAnswer: 0.38979945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -893843*f**2*z**2 - 124*f*z**2 + 111*f*z wrt f.\nAnswer: -1787686*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**3\/2 + 546*q**2 - 7497*q\/2 = 0.\nAnswer: 0, 7, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + 31*g**2 + 7*g - 20. Let x be s(14). What is x rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (468\/42)\/((-1)\/(-7)) + 2. Suppose -12*k + 8*k + a = 0. Suppose 3*s = 4*r - 47, -s - s + k = 2*r. Solve 2*f = 5*g + r, -2*g = -4*g + 3*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2. Let y(i) be the third derivative of 333*i**4\/8 + 9*i**2 + 7*i. What is j(y(m))?\nAnswer: -2994003*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-27))\/((-10584)\/10206)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43.7 + 44. Which is the closest to 1\/2? (a) -0.2 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:09 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-73)\/(-330) - 1\/(-2). Let o be 6\/5*(-1)\/22. Let d = n + o. Which is the nearest to d? (a) 4 (b) -2\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11507*i + 1300292. Determine q(113).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 - -1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*o + 303*o = 33 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eejouooeleuoeeoooej. Give prob of picking 2 e.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 188818753 a multiple of 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 41*z. Let v(f) = 3*f**2 - 4. Determine u(v(a)).\nAnswer: 123*a**2 - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 55. Let u be g(19). Let s be (162\/u)\/((-171)\/84 - -2). What is the greatest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 979588.5 millilitres?\nAnswer: 979.5885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2659, 5098, 7539, 9982, 12427?\n\"Answer: m**2 + 2436*m + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 17*u - 8. Let d be z(-10). Suppose -3*y + 401 = d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3145.\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v + 18128*v**2 + 20*v**3 - 18132*v**2 + 51*v to n*v**2 + f*v + g*v**3 + p and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 45*x - 508. Calculate the lowest common multiple of 140 and v(32).\nAnswer: 20860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(21\/(-392)*7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -29109779052.\nAnswer: -29109779052.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43597417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -14, -0.3 in descending order.\nAnswer: 0, -0.3, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3\/5*m**5 - 99*m**3 + 23958\/5*m + 81\/5*m**4 - 2541\/5*m**2 + 0 = 0.\nAnswer: -6, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 151813926.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44391.76g in nanograms?\nAnswer: 44391760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10763623?\nAnswer: 13, 677, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -16, -42, -80, -130, -192, -266?\n\"Answer: -6*g**2 + 4*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 17 - 4 = 0. Suppose 0 = 3*g + 2*r - 203, 2*g - r = y*g - 67. Find the second derivative of g*o - 11*o**2 - 63*o - 43*o wrt o.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-30))\/((3374548\/2265)\/302)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 87909977 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h*h*h*h)\/(h*h\/h**4)*((h\/(h*h*h\/((h*h**3)\/h))*h)\/h)**(3\/7))**(-5) assuming h is positive.\nAnswer: h**(-295\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-970)\/291)\/(8160\/(-216))?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**2*m*o**2 + 8*g**2*m - 13*g*m*o**3 + 2*g*m + 2 wrt o.\nAnswer: -10*g**2*m*o - 39*g*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3004503 and -4?\nAnswer: 12018012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-75)*20\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1440080*q + 1440040*q - 4320210*q + 1440094*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/94 + (1\/5)\/(110\/575).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Let s be z\/((-4)\/3) - -21. What is the greatest common factor of s and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00358304 rounded to four decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(2*i + 2 - 2 + (2*i + 0 + 0)*(0 - 3 + 2) + i + 2*i - 5*i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**2*r - 2059*j**2 + 5*j*r + 8*j + 26072*r + 204 wrt j.\nAnswer: -8*j*r - 4118*j + 5*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(726) - 2*sqrt(726)) + sqrt(726))\/(sqrt(128) + (sqrt(128) + (sqrt(128) - (sqrt(128) + sqrt(128)*-1)))*-1).\nAnswer: -33*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 75*v - 353. Let b be u(32). Put b, -4, -8, -3 in descending order.\nAnswer: b, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91)\/(-39)*-21*6\/49. Let o be (-17)\/(-14) - (-4)\/14. Sort o, -1\/3, -3, q in decreasing order.\nAnswer: o, -1\/3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-55769)\/(-31868))\/(21\/(-39))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 341.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 11*n - 14. Let x be a(-14). Solve -x = -4*o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(-2 + 0 + 5)*(-22681*r**2 + 192*r**4 + 22681*r**2) + (-2*r + 5*r - 5*r)*(3*r**3 - r**3 - 3*r**3).\nAnswer: 578*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 3:27 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/39)*p**(-2\/9)*p**(-2\/5)\/p*p**(-12))**(-4) assuming p is positive.\nAnswer: p**(29416\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j + 2209 = -175*j + 61*j + 5631 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 10*d - 10. Let r(w) = -w**2 + 11*w - 11. Let b(u) = -2*r(u) + 3*x(u). Determine b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20)\/(-50))\/((-6)\/(-1185)) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 2775, -2\/7, -0.04, 98, -2\/11?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*g - 45 = 71*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 577 = 335. Let g = t - 205. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1461 - -2155. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 - 410*i**2\/9 + 7652*i\/9 - 560\/3 = 0?\nAnswer: -35, 2\/9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -580*d**2 + 579*d**2 + 1 - 3 + d**3 + 5*d + 3 to g*d**2 + a*d + z*d**3 + r and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/7 (c) -72 (d) -5 (e) -259 (f) 0.2 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 13*y - 3. Let w be t(12). Let i be (-20)\/8 + w\/3. Which is the closest to 0.1? (a) i (b) 3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5040000*v**2. Let u be a(1). What is u rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/20)\/((-3)\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1. Let i(l) = 7*l + 21. Let g(v) = -i(v) - 21*w(v). Let m(k) = -28*k. What is 21*g(f) - 5*m(f)?\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 7*p - 6. Let n(h) = -h**2 + 7*h - 6. Let y(t) = -6*j(t) + 7*n(t). Suppose -5*k + 2*z + 21 = 0, 165 - 146 = 3*k + 2*z. Determine y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 10*r + 20. Determine o(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 698 divide 203929076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-84) + (-330)\/154?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872814789 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28712 - 86*n - 28712 - 2*n**2.\nAnswer: -2*n**2 - 86*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -291 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 23*s**2 + 23*s + 23. Let o be l(24). Is 4 - (-1)\/o*-9387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -10, -15, -18, -19?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 392?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 294.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - -0.4. Let b = -7 + 9. What is the nearest to l in 0.5, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*v**5 - 4089*v**4 - 18507*v**3 - 3867*v**2 + 40950*v - 14472 = 0. What is v?\nAnswer: -268, -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v. Let f(s) = 3*s - 45. Let d be f(15). Let k(x) be the first derivative of 5 + 1\/3*x**3 + d*x**2 + 0*x. Calculate k(p(t)).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5938 minus 7102655.758?\nAnswer: -7096717.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43389.96*-5.\nAnswer: -216949.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 329946151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d - 6312*d**2 - 8*d + 67 + 6336*d**2.\nAnswer: 24*d**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, v: 3}. Give prob of sequence vpvp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 40*k**2 - 8*k - 51. Is z(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*g = 78*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 5) to base 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*n + 158*n + 2 + 439*n - 74*n + 2.\nAnswer: 723*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(847) + -5 - (-1*sqrt(847) + sqrt(847) + -3))*3)**2.\nAnswer: 396*sqrt(7) + 7659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 42649795 to the nearest ten thousand.\nAnswer: 42650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(sqrt(1620) + 5 + sqrt(1620)*-2 - (sqrt(1620)*1 + 4 + sqrt(1620))))**2.\nAnswer: -3888*sqrt(5) + 524916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/((-1)\/(-24)). Let p = 6 - k. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 718*v**2 + 3366*v**2 + 280*v**2 + 1046*v**2.\nAnswer: 5410*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9598 is divided by 3889.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-76)\/(-28))\/(99\/2772). Solve d - 67 = x + c, c - 5 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2181*j**3 + 171*j**3 - 119*j**3.\nAnswer: 2233*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-4 - 6 - 33) - -88\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 - 285. Which is the smallest value? (a) -4 (b) -0.5 (c) -6 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335, 1205, 2539, 4241, 6215?\nAnswer: 8365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -207, -265, -279, -249?\n\"Answer: 22*p**2 - 124*p - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.041303 to 4 decimal places.\nAnswer: -0.0413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1901, -1928, -1959, -1994, -2033?\n\"Answer: -2*v**2 - 21*v - 1878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-5\/2)*o)*o\/o**(-2))\/(o**(1\/2)\/(o\/o**12*o)) assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 687666963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 12.203.\nAnswer: 1.2203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r**2 + 2*r**2 - 3*r**2)*(-2 + 2 - 2*r) - r**3 + 0*r**3 + 2*r**3 - 7*r - 6*r**3 + 7*r)*(10 + 6*r - 10).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 3:56 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 7. Let v be q(-7). Let i(u) = -u**2 + 6*u + 8. Let k be i(7). Suppose -k = a - 8. Calculate the highest common divisor of v and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {n: 2, k: 2, l: 1, g: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22200010 (base 3) in base 16?\nAnswer: -18b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -801 = 3*s - 12*s. Let z = s - 89. Find g, given that 0*g**2 + 2\/3*g**3 + z*g**4 - 1\/3*g + 0 - 1\/3*g**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/1225 and 53\/10185.\nAnswer: 356475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2170 - -2170.7. Which is the closest to -0.2? (a) n (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -1\/3*j**2 - 21*j - 1\/18*j**6 - 17\/60*j**5 - 7\/12*j**4 - 11\/18*j**3 - 1. Determine u so that p(u) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001448 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 * 102.01.\nAnswer: 7650.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from ivixiziiizzzi.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezeemlzeelmmeee. Give prob of picking 1 e and 2 m.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 18. Give u(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qququququu. Give prob of sequence qu.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-2325)\/(-105)) + 7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 658464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 1343825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.351315mg?\nAnswer: 0.000000351315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 220481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13626 - 6?\nAnswer: 13620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 25 = -4*s - 20 - 3, 0 = -m + 2*s + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0*j**3 + 0*j + 0 - j**2 - 1\/6*j**4. Let v(d) be the third derivative of -d**4\/24 + d**2. Calculate v(y(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5568.97 + 5538. Let m = -31 - i. What is m rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 170 + 227 = 0. Solve 0 = -i*y + q - 16, 15*q - 8 = -2*y + 11*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 1 = -g, 2*h - 32*g = -33*g - 11 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(-7*(-3)\/126).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trrrrrrrttrr. Give prob of picking 2 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1889602.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 5801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 6. Let s be (2\/(8\/(-9)))\/(75\/200). Calculate n(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -600 + 699. What is the smallest common multiple of p and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77.44 + -1.44. Let v = 80 - g. Which is the nearest to 1? (a) v (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 11*s**3\/3 + s + 16. Calculate j(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -0.583934234.\nAnswer: 2.416065766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/(-30))\/(-7))\/((-72)\/(-30))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18669 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {a: 1, z: 1, s: 1, v: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12751 is divided by 354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4, 2*o + 53*r - 6 = 57*r. Put o, 1, 2.1 in ascending order.\nAnswer: 1, 2.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 439080.\nAnswer: 878160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -5. Suppose 2*f - 7*f - 3*t = 33, 2*f + 17 = -5*t. Let a be -1 + (f - (-12 - -4)). Does a = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43353 (base 6) in base 2?\nAnswer: -1011101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 552588, 1105177, 1657766, 2210355?\n\"Answer: 552589*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((44\/(-5))\/(-22))\/((-16)\/(-10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 0.04 (b) 4\/9 (c) -2\/7 (d) -0.4 (e) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:45 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7809602931 to the power of 1\/3, to the nearest integer?\nAnswer: 1984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*k**2 - 802*k**2 + 18*k**2 - 1022*k**2.\nAnswer: -1298*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -847122 + 1?\nAnswer: -847121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a - -9?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 - 1 + 3 - 1 + 1 - 3 + 4 + 2 - 3 + 0 + (0 + 1 + 1)*(4 - 3 - 2))*(2*n**5 - 2*n**5 + 2*n**5).\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8148)\/(-77) - 4\/(-22). Suppose 5*u - s = 6*u. Let w = u + 113. Let y(g) = g - 11. Give y(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539)*2)\/sqrt(11))\/(sqrt(847)*-1) - -1*(sqrt(7) + -6*(sqrt(7) + sqrt(21)\/sqrt(3)) - sqrt(7) - sqrt(28)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 147175\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153220 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -11043341432?\nAnswer: -11043341441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (8 + -5))*(5*30\/75)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 17 = 2*i - 3*b, -5*i + 4*b = -25. Calculate the smallest common multiple of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 15 + 3)*(-182*h**2 + 168*h**2 - 3*h - 145*h**2).\nAnswer: -2703*h**2 - 51*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**5 + 427*i**4 - 15*i**2 - 550*i + 364 wrt i.\nAnswer: -60*i**3 + 5124*i**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/114 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a. Let n = 0 - 9. Let s(h) = -3*h. Let c(q) = n*s(q) - 2*j(q). Let k(o) = 14*o. Give c(k(v)).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35996023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/62383, 1\/248, 0.05 in increasing order.\nAnswer: -2\/62383, 1\/248, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17841*v**2 + 1961*v.\nAnswer: 35682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(2\/3)))\/l)**(-12\/11)*(l\/l**(-3))**12)**1 assuming l is positive.\nAnswer: l**(548\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q + 38. Suppose -98*t + 834 = -355 + 13. Calculate k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 3*w - 1. Let o(a) = -2*a - 5. Let u(m) = -m + 2. Let r be u(6). Let x be o(r). Let z be q(x). What is z rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Suppose g = -y*g - 3. Let k be g - 0 - 4\/(-1). Solve k*j = 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 43 = 9*o. Solve -2*a + 8 = o*z, 6*z - 3*z = -3*a + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 249 (b) -0.4 (c) 4 (d) 0 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00080127 rounded to 5 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 + 4*g**2 - 4*g**2)*(-4*g + 8*g + 0*g) - 2*g + 1295*g**3 - 1293*g**3 - 2*g in the form d + q*g + r*g**3 + y*g**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-1\/3)\/g*g**2*g*((g**(-1\/3)*g)\/g)**(3\/11) assuming g is positive.\nAnswer: g**(85\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 = -w - 3, 4*w + c = 12. Suppose -5*h = -w - 3. Suppose 0 = -2*n - 0 - 6. Sort h, n, 5 in ascending order.\nAnswer: n, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658955194 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 10:11 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/4)\/((-1)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152573773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7921*n - 3448*n - 3991*n + (-1 + 0 + 2)*(4 - 2*n - 4) - 2*n + 2 - 2)*(-n**2 + 6*n**2 - 4*n**2).\nAnswer: 478*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54154838*f**2 - 132938559 wrt f?\nAnswer: -108309676*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27184*s + 26834*s - 26559 + 6259 for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2*p - 5*m + 55, 5*m = -p + 25. Suppose -5*u + w + 11 = -12, -u = 4*w + 8. What is the remainder when p is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 1:57 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 2006.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*x - 892, -x = -2 - 2. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a - 2*u + 6, -10 = -4*a - u. Suppose 0 = 2*b + 2 - 10. Differentiate 0*g**4 + a + 6*g**4 - g**b wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10\/l*l*l)\/(l**(-1\/20)*l) assuming l is positive.\nAnswer: l**(201\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:40 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 139\/(58380\/252)*32\/(-3)*1?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 9*a - 11. Let i(q) = -3*q**2 - 18*q - 21. Let p(b) = 2*i(b) - 5*t(b). Calculate the remainder when 13 is divided by p(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**2*y + 4*g*y*z - 5*g*y + 2*y*z + 73*y wrt g.\nAnswer: 2*g*y + 4*y*z - 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1a3d42?\nAnswer: -1a3d40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 4. Let j(w) = -w. Let f(z) = 4*j(z) - k(z). Let l = 13 - 9. Let h(s) = -3*s**2 - 11*s - 11. Let x(c) = l*h(c) - 11*f(c). Factor x(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - 1.8. Let w = r - -15.6. Let x = w + -12. What is the biggest value in -0.2, 0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4815144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 336, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*p - 2*f - 12, -3*p - 4*f + 14 = 0. What is the least common multiple of p and (-45)\/(-6)*2 + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -3 + 5 + -1. Suppose 957*x - 951*x = 3288. Let s = x - 553. Put s, 42, z in descending order.\nAnswer: 42, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 395, 608, 829, 1058, 1295?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, e: 4, w: 1, v: 1}. Give prob of sequence eev.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ae8ed6 - -1?\nAnswer: 1ae8ed7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 95*s**2 - 19 + 243*s**2 to r + c*s**2 + v*s and give c.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 5*q. Let d(y) = -y + 3. Let g(f) = -f + 4. Let h(u) = -4*d(u) + 3*g(u). What is h(w(b))?\nAnswer: b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 164\/36 - 5 - 2856560\/(-6735384). Let i = 4\/673 + k. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 3, -2, -11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26868 + 26868.74342. Let x = 0.75 - f. Round x to four dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336, -334, -332, -330, -328?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 6*h**2 + 5. Let x = -15 - -21. Let w be j(x). Suppose -9 = -5*r + 4*c, c = 2*r + w - 11. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -26 - 19) + (-2 - (2 - 4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((39\/18)\/13)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, c: 2, n: 1, f: 2}. Give prob of picking 2 c, 1 n, and 1 f.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -0*r - 2*r - 3*i, 62*i = -r + 67*i + 88 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 8*r**2 + 19*r + 8. Suppose 3*n + 2*n = -2*v + 175, 4*v - 371 = -3*n. Calculate the remainder when v is divided by j(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*k**2 + 417025*k - 92670.\nAnswer: -5*(k - 9267)*(9*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*f**2 + 1611*f + 1632*f - 3243*f - 16*f**2.\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**(-1\/5)\/g)\/((g\/(g\/g**(2\/5)))\/g)**(8\/9)*((g\/g**(-1))**(-9\/4))**(-46) assuming g is positive.\nAnswer: g**(607\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.571 and -14?\nAnswer: -91.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 - -59. Let i(a) = -4*a**2 + 136*a + 611. Let d be i(38). Sort -5, t, d.\nAnswer: t, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/8*l**3 + 0 + 3\/8*l - 3\/4*l**2 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148779, 125337, 86261, 31545, -38817, -124831?\nAnswer: -226503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {p: 1, h: 1, i: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 352977956*l**3 - 133530070*l wrt l?\nAnswer: 2117867736*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.106 = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 + 3 - (2 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1086 in 0, -0.4, -2, 8, 11, 2\/23?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 12:58 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Let p = -16 + 7. Let r be p\/15 - y\/5. Let v(o) = -9*o**2 - o. Calculate v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/3286 + -5780\/96937. Is -1 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 8:35 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 334 (c) -126 (d) -5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 4:08 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeettteeee. What is prob of picking 2 e and 2 t?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -17\/233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**2 + 48*d**2 + 7*d**2 + 11*d**2 + 73*d**2 as i*d**2 + s*d + p and give i.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j - 6 = 0. Suppose -3*u + 7 = -j. Let h = 117 + -111. What is the greatest common factor of u and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 14, 3\/4, -3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -49*m**5\/5 - m**4\/2 - 64*m**3\/3 + 59. Find the third derivative of n(o) wrt o.\nAnswer: -1176*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 94. Let y(v) = 25*v + 376. Let u(b) = -9*g(b) - 2*y(b). What is the units digit of u(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = -3. Solve -g - 3 = -4*o, 0*o - 2*o - n = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*n + 8, -3*d = -0*d - 2*n + 12. What is the nearest to 0.08 in d, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 + -210. Let x = -117 - o. Which is the fourth smallest value? (a) x (b) -0.1 (c) 2 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 5. Let o = 0.1 + -0.2. Is g at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 11:39 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*o = 207 - 2, -w - 5*o + 40 = 0. What is the highest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**7\/70 - z**4\/4 - z**2. What is the second derivative of d(f) wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 22 = 2*d - 6, 0 = -d - 5*a + 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14980\/(-56175)*276\/8*10?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*z = 3*z, -4*z = 4. Let r = 2.07 + 0.49. Let w = r - 6.56. Put w, -1\/5, j in descending order.\nAnswer: -1\/5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15194 - 1746*s**3 - 30389 - s**2 + 15194 to the form u + f*s**3 + o*s + i*s**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2\/53 (c) 0.6 (d) 2\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31316 is divided by 15655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/9)*t*t*t**(-1\/9))**(22\/3)*(t**1)**(36\/5)*(t\/t**(1\/4))**31 assuming t is positive.\nAnswer: t**(2707\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - 3500243?\nAnswer: -3500313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 6334028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((0 - -1) + (31 - 31))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -14)*(1 + 1). Suppose 7*g + 149 = -5. Let o = g + f. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-91) + 45\/(-7))\/(-7).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pty when three letters picked without replacement from {y: 12, t: 1, p: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 807071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 405 = -5*t, -t - 429 = k + 4*k. Let y = 159 + k. Factor -16 + 32*c - 75*c**3 + y*c**2 + 74*c**2 - 5*c**3.\nAnswer: -4*(c - 2)*(4*c - 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478437977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 7*o - 9. Let g be z(7). Let i be ((-2)\/1)\/(-2)*50. Suppose 3*m + i = -2*m. Do m and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 142 in -3, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14965 is divided by 255.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 at least -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 27. Let z be ((-6)\/(-12))\/(w\/(-6)). Put -4, z, 8 in descending order.\nAnswer: 8, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*o - 25, f - 162 = -4*o - 147. What is the biggest value in o, -136, 3\/5, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/27027 and 79\/59598?\nAnswer: 2324322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.006 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -4\/13*g - 7\/13*g**2 + 6\/13*g**3 + 2. Suppose t(b) = 0. Calculate b.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -222, 2247 in descending order.\nAnswer: 2247, 4, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 0*v - 3*v - 2*v + 7*v. Let q(y) = -64*y. Let b(z) = -13*z. Let l(o) = 24*b(o) - 5*q(o). Calculate l(k(x)).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. Calculate the smallest common multiple of (-9)\/(5 - v - 3) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21864 is divided by 705.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 24, 54, 96?\n\"Answer: 6*b**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40216687 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15419948.\nAnswer: 2, 47, 82021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-8 - -2) - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 3:37 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 1477*k**2 - 4*k + 2440*k**2 + 5*k - 2.\nAnswer: 3917*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (48\/(-20))\/(-3 - 598\/(-200))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5656 - -7762. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 24, -70 in descending order.\nAnswer: 24, 11, -1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 37*n**2 - 113*n - 20. What is the remainder when i(33) is divided by 208?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2*(-22)\/(-20). Let k = x + -3. Which is greater: 0.2 or k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, c: 7, a: 1}. What is prob of sequence caii?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 41993?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 460214632 to the nearest integer?\nAnswer: 21453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhhhhhhhhhhthhh.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*a - 223 = -77 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 9. Let t be v(-7). Let o be (t\/(-10))\/(2\/(-5)). Suppose 0*k - 3*j = k, -4*k - o*j = -16. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*p + 2*n, n = 6 - 3. Suppose -2*t = 5*r - 95, -p*r + 5*t = -18 - 20. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -56, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2019 or -2018?\nAnswer: -2018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x. Let v be (-3)\/6*(-2)\/1. Let r = v - -2. Suppose -4*b + 2 = -r*h - 0*h, -3*b + 6 = 0. What is o(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.09 + 68.31. Let h = 98 - x. What is h rounded to zero decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1131 = 15*w + 72*w. Solve 0 = -9*m - w - 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y + 20 = 0. Let u be (4 - y) + (4 - -1). Suppose -4*v = -0*v - u. Is v != -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(2*1). Let i be (2\/(-2))\/(-5)*-2. Let r = -0.088091 + -0.211909. Which is the closest to i? (a) -1\/3 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18409468 to the power of 1\/2, to the nearest integer?\nAnswer: 4291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 314 - 314. Let n = -0.05 + -0.05. What is the nearest to n in 1\/2, -1.9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5\/5 + 3*r**4\/5 + 3*r**3\/5 - 3*r**2\/5.\nAnswer: -3*r**2*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18, 1, -2, -5, 3 in increasing order.\nAnswer: -18, -5, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.043 * 0.005\nAnswer: 0.000215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8246*v - 19142?\nAnswer: 8246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 102, 124, 134, 126, 94?\n\"Answer: -o**3 + 29*o + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 920 by -460.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 10 - 2*x**4 - 7 - 5*x**2 + 3*x**2 - 8 to n + r*x**2 + o*x**3 + p*x + v*x**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**2 - 6*n - 7. Suppose 4*v + 4*d - 28 = 0, -8*v - 13 = -11*v - 2*d. Determine x(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36730265 to the power of 1\/2, to the nearest integer?\nAnswer: 6061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3013 + -24?\nAnswer: -3042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 5. Suppose -27 = -3*i - x, -i = -3*x - 15 - 4. Let t(g) = 4*g + 43. Let m be t(-5). Let h(w) = 0 - 22 + m. What is i*h(z) + 2*b(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 469806645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 731012747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -2 + 6 - (7 + -3 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1812449.4893 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 1931531909\nAnswer: 1931531908.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*((-24)\/(-5))\/(89\/(-2225))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 k when four letters picked without replacement from hltkhhhkitihhki.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 16*h - 19760. Let z(w) = 7*w - 9884. What is -4*s(o) + 9*z(o)?\nAnswer: -o - 9916","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/65?\nAnswer: -9\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2. Let w(p) be the second derivative of -p**6\/180 + p**3\/2 - 2*p. Let t(h) be the second derivative of w(h). Give t(n(z)).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2, -1417, -3, 3.\nAnswer: -1417, -3, -2, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + -0.0900095. Round i to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*u - 99*u = -36*u + 7*u + 19266 for u.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.77. Let k = s + 32.63. Let m = k + -39. Put 1\/7, -2\/9, m in increasing order.\nAnswer: m, -2\/9, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.41618 and 12298.\nAnswer: 12297.58382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12234005 - 1?\nAnswer: 12234004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**5 - 68851*r**4 + 167*r**3 - 258219507*r**2.\nAnswer: -60*r**2 - 1652424*r + 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-3) - (-1)\/3. Let r(v) = v**2 + v - 2. Let t be r(-2). Let s = 0 + t. Solve s*f + 2*f = -d - 7, -11 = u*f + 2*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*q + 11, -4*q - 19 + 7 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10534 (base 11) to base 6.\nAnswer: -154431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682693149.\nAnswer: 3, 227564383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dgddddddddddddd.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75091, -75073, -75055, -75037?\n\"Answer: 18*v - 75109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**2 - 8*b + 5. Calculate d(-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 + 12*r + 143. What is d(-10)?\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + 1*sqrt(325))*-5*1)**2 - (-5 + (2*sqrt(325)*5 - sqrt(325)))**2.\nAnswer: 450*sqrt(13) + 6150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3.9*-66\nAnswer: 257.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -3\/7 in ascending order.\nAnswer: -3\/7, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 44 - 13 = 0. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + sqrt(833) + 0 - (sqrt(17) + sqrt(17) + -1 + 3 + (sqrt(187) + (sqrt(187) - sqrt(187)*-2))\/sqrt(11)))*-5)**2.\nAnswer: -8750*sqrt(17) + 41250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-750)\/110 - -7 - 106\/(-22). Which is smaller: 145 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzg when three letters picked without replacement from {d: 3, g: 1, u: 2, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -9\/4 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -20. Suppose w = h + 7. Let q(l) = 7*l - 1. What is q(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.203, -100\/21, -84, -5 in descending order.\nAnswer: 0.203, -100\/21, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*m + 458*m - 75*m - 228*m - 77*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 163796 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-27)*162\/(-738)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 12*x. Let r(j) = -1620*j. Give u(r(h)).\nAnswer: -19440*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2523 is divided by 1100?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -233 and 0.08.\nAnswer: -18.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*z**3 + 2*z + 29 wrt z.\nAnswer: 408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49343, 197411, 444201, 789713, 1233947?\n\"Answer: 49361*p**2 - 15*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*v - 425, 0 = 5*v + f - 2718 + 3095. Is -47 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/57*(-15)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3182 - 3.51788. Let k = c - -2.2. Round k to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 3:02 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62922125 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*i**2 - 1 + (237*i - 126*i - 967*i)*(4*i + 0*i - 3*i) in the form v*i**2 + a + s*i and give v.\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (3\/(-3))\/(-1). Let m(w) = 5*w**2 - 5*w**2 + 2*w**o. Let k(n) = -2*n + 2*n + 0*n - n**2. Give m(k(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/15 + 2\/(-1). Let c = 8.827 + -9.127. What is the smallest value in -1\/4, 0.3, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 315*t - 315*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121022112221 - 2?\nAnswer: -1121022120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -33\/14, 0.4, 5, -23, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -60 - (-29211)\/231 - (448\/(-539) - (-4)\/14)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.78 to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 459. Let y be 68*(-4 + 18\/4 + 3). Let r = y - k. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/9)*c*c\/(c*c*c**(-2\/13)) assuming c is positive.\nAnswer: c**(5\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/(-18) - 4\/(-18). Let a be -3 + f*(1 + 0). Solve 5*y = -x - 23, 0 = 3*x - a*x - 2*y - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 70 = 22*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q, -z + 33 = 2*z - 4*q. Let s be 21\/z + (-2)\/5. Solve -3*p = -s - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30525023.\nAnswer: 29, 73, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1302 and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71 - -2ea9e?\nAnswer: 2eb20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.565948 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*d - 4 + 8 + 71*d + 12 to o + p*d and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2240\/(-840))\/((160\/(-15))\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/15 or 55\/7641?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*j**2 + 965*j**2 - 92*j**2 + 720*j**2.\nAnswer: 1203*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1503*o - 39 = -1516*o. Solve t - 2*g + 4 = -0, -o*t + g = 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-42)\/(-168)). Calculate the remainder when ((-12)\/((-6)\/n))\/(1\/4) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0 = -4. Let o = j - -6. Put 0, o, -5 in decreasing order.\nAnswer: o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 937763862 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: Calculate 205235 divided by 17.\nAnswer: 205235\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 801\/8 - 100. Let f = 152 - 151.7. Let g = 9 - 2. What is the smallest value in l, g, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 != 175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 25158 - 9*m - 5*m**3 - 25145 + 4*m**3 + 10*m**2. Calculate y(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 = -4*g + 9, -5*g = 5*s - 10. Suppose -5*m - u - u + 8 = 0, 5*m - 5*u + 20 = s. Solve 5*b = -4*r - 18, -3*b = 6 - m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 - 43*w**3 + 1473*w**2\/2 + 8084*w + 17672.\nAnswer: (w - 47)**2*(w + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/2)\/4*(-76)\/38.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-2*f - 3*f - f)*(-1 + 4 - 2)*(2*f**3 - 3*f**3 + 0*f**3 + (2*f - 2*f - f**3)*(-2 + 7 - 3) + 13*f**3 + 14*f**3 - 7*f**3).\nAnswer: 204*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 13*y - 567218 + 567218. Let i(o) be the third derivative of o**4\/24 - o**2. Calculate i(g(v)).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 - r + r**2 + r**3 + r**2 to the form g*r**2 + n + y*r + s*r**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 5:10 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -456451498*i + 858990957 wrt i.\nAnswer: -456451498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 11 = 9. Let x be 3*(3 - k - 1). Let a = -7 - x. Solve a + 4 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 2)*1\/(-3). Suppose -4*l = 5*b + u - 7, 1 = 3*b + 5*l. Calculate the smallest common multiple of 3 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165.66 + -165.6. Let n be (-2 - (-35)\/15)*3. Put n, d, 0.3 in increasing order.\nAnswer: d, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 21*a - 3 - 1 + (3 - 1 + 1)*(2 - 1 + 2)*(a + 1 + 1 - 1))*(0*a - 3*a + a).\nAnswer: 24*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -110311331310 (base 4) to base 15\nAnswer: -72de19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkmmcceocmecekxmccee. Give prob of picking 1 o and 2 c.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -534 + 547. Suppose -17*k = -v*k. Let i(y) = 2*y - 4. Let h be i(7). Solve 0 = -2*a - h, -u - a + 2*a + 9 = k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2*u**3\/3 + u**2 - 23. Factor i(x).\nAnswer: 2*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 33 + 25*b - 13*b - 9 + 9*b. Let n be w(-20). Suppose -288 = -3*x + x + 4*v, 2*v = n*x - 558. List the prime factors of x.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58020180 to the nearest integer?\nAnswer: 7617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -2102?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9234 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 1:15 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -275095 and -275094 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 24, 39, 54?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1762878 and 990.\nAnswer: 290874870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + r + 0)*(2*r + 2 - 5 + 0).\nAnswer: 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 15, 758 = 3*h + k - 1273. What is h rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2008 - -8966?\nAnswer: 695d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111\/333*(27\/702)\/((-2)\/48)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -487961\/82 - -5951. What is the common denominator of -83\/164 and c?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2169211 - -3261128. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176385 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -96 - 56*x**2 - 4\/9*x**4 - 144*x - 76\/9*x**3 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) -0.4 (c) 28 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2\/23, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0046413487 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 1720?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3930 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 61 = -4*q - 2*d, -27 = -3*q - 3*d. What is the remainder when 40 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 68, -5525, 2\/7, -3?\nAnswer: -5525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 3262\/272693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - 0. Let d = -0.6 + b. What is the closest to 0.2 in d, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113004581?\nAnswer: 223, 313, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 16 + 5*m + 2*m - 2*m.\nAnswer: 5*m - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-2)\/9)\/((-8)\/(-432)*-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572 a factor of 1139887252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11425 or 0.0259?\nAnswer: -11425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -153*p + 1. Let s(t) be the third derivative of -t**7\/5040 - 14*t**5\/15 + 8*t**2 + 3*t. Let c(r) be the third derivative of s(r). What is y(c(u))?\nAnswer: 153*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -7144\nAnswer: 45\/7144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -172714*o**2 - 1. Let n(l) = -11*l. Calculate z(n(x)).\nAnswer: -20898394*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16780057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*b = 4421*b - 100*b + 7468 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*h**3 + 8*h**2 + 0*h**3 - 9*h**2 - 10*h**3 - 45*h wrt h?\nAnswer: -156*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 - (5 - (-4 - -6)). Calculate the greatest common factor of w and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11280488 to the power of 1\/2, to the nearest integer?\nAnswer: 3359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(425) - sqrt(425)*-2) + 4)**2.\nAnswer: 240*sqrt(17) + 7682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42063.48 and 133.\nAnswer: 42196.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57\/2*i**3 + 6*i**4 - 12*i - 6 + 81\/2*i**2 = 0. What is i?\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -602 (base 11) to base 8.\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 12, l: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, 5, -2\/15, -33\/8.\nAnswer: -33\/8, -4, -2\/15, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 1:18 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8038440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 2*w - 5. Let l = -14 + w. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 6*q**3 - 4*q**3)*(299 - 88 + 84).\nAnswer: 295*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041987539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198 a factor of 306399282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 25. Suppose 2*p = 4*i + 8, 4*i + 2*p - 1 = i. Let g(n) = -10*n**2 - n + 1. Let w be g(i). What is the remainder when c(w) is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b - -a?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17815?\nAnswer: 5, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2 + 21. Let h(b) = 1. Let g(o) = -o**2 + 26*o - 4. Let c be g(25). Determine c*h(i) - f(i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-3285892.\nAnswer: 6571784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*w = -116*w + 44 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 + 206. Suppose 0 = 5*b + y - 495. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (304\/(-342))\/((-2)\/9). Solve x*l - 20 = 2*w, -14 = -5*l + w + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/11544 and 53\/344396.\nAnswer: 2066376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c - 9. Is p(-4) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, t: 1, k: 5, i: 1, y: 3}. Give prob of picking 2 k and 1 i.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*l + 3, 3*l + 11 = 4*u. Calculate the least common multiple of 66 and 4\/(60\/357) - (-1)\/u.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -4\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 4*f**2 - f + 5. What is the units digit of c(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/5)*x**(2\/9))**(-9\/7)\/((x*x\/(x*x**(2\/9))*x*x**(-4\/5))\/(x*x*x**(-6)*x*x**(-1\/2))) assuming x is positive.\nAnswer: x**(-827\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (-9)\/6)\/((-13)\/(1560\/(-9))). Solve -d = 4*d - w, -5*h + d - 19 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, c: 4, p: 7}. Give prob of picking 2 c and 2 s.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.064 and 15655378.\nAnswer: -1001944.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -4, 25, 102, 245, 472, 801?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -875, -1934, -3417, -5324, -7655, -10410?\nAnswer: -13589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -47*i + 49*i + 18, 5*y - 4*i + 8 = 0. Let z be (-5)\/(5\/(-4)) - 4. Sort y, z, -2, 6 in increasing order.\nAnswer: y, -2, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25182373115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 416*w + 416. Does 52 divide g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*r + 8*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - (-2 + 5 + -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*d**5 - 33\/7*d**3 + 0 + 18\/7*d**2 + 216\/7*d - 2\/7*d**4 = 0.\nAnswer: -4, -3, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 49, -6, -2, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 4 = 2*k + 3*a, 0 = 4*k - 5*a + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 7\/(-2)) + 153\/(-234). Which is the fourth biggest value? (a) -1\/9 (b) o (c) -4 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, 0, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 86. Let a be w\/4*2 - (0 - 6). Solve -f - l - 9 = 4*f, -a*l = -4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.5, 0.4, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -15789*t. Let j(s) = 31*s**2 - s. What is j(m(c))?\nAnswer: 7728068151*c**2 + 15789*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18256 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287945579?\nAnswer: 23, 1213, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 408634, 817273, 1225912?\nAnswer: 1634551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -19584192200 to the nearest 1000000.\nAnswer: -19584000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 2*h - 8. Let u(c) = c**2 - c + 9. Let s(g) = -5*u(g) - 6*z(g). Let t(p) = -p**2 - 6*p + 7. Let o be t(-6). Does 3 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6 = z, -k - 2 = 2*z + 1. Suppose -4*i + 20 = -3*j + 5*j, k*i - 2*j = 8. Suppose 0 = -3*m + i*p + 102, 30 = m + p - 4. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8421*a**2 + 53*a - 2*a**4 - 8421*a**2 + (1 + 0 + 0)*(-5*a**4 + 5*a**4 + a**4) + (-a**4 + 2*a - 2*a)*(0 + 0 + 1) + (3*a**4 + 3*a**4 - 4*a**4)*(8 + 1 - 5).\nAnswer: 6*a**4 + 53*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - 0. Let m = z + 18. What is the third derivative of 0*o**6 + m*o**2 - 19*o**6 + 10*o**6 wrt o?\nAnswer: -1080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5001648 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 219236 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 18. Suppose -3*p = c + 11. Which is bigger: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from nxxjn.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by -35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146699 rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -95*c**2 + 10*c - 5. Let g(l) = 97*l**2 - 8*l + 4. What is 5*g(o) + 4*k(o)?\nAnswer: 105*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3402 - -3310) + 28 + (-2 - -5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -17.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldyvdylydyhvyql. Give prob of picking 1 d and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 11:08 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*9\/441)\/((-2)\/(-7))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19843*x**4 + 365*x**3 + 3*x**2 - 2*x - 1313488?\nAnswer: -476232*x + 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28180 and 20660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -124. Suppose -15*p = 7 - o. Solve 4*w + 4*u - 12 = 0, p*w + 2*u + 3*u = 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -42.1. Let g = -0.8 + 3.8. What is the closest to 0.1 in 1, g, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, o: 6}. Give prob of picking 4 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 3*c**2 - 3*c + 1. Let b(k) = k**3 - 4*k**3 - 2 - 4*k**2 - k**2 + 5*k. Let f(i) = -3*b(i) - 5*m(i). Give f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x. Suppose 4*c - 20 = -4602*s + 4597*s, 0 = -s - 2*c + 4. Solve x = -s*p - 9 + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -2434 (c) -3\/5 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 14. Suppose -4*z + 33 + 11 = 0. Let n be x(z). What is the tens digit of (-34)\/n + (-6)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) -4\/117 (c) -17 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, -2 in descending order.\nAnswer: 21, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147*b - 26087 + 25141 = 50669 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/49 - (-18)\/14. Suppose 2*m + 4 = 2*j + 12, 2*j + 23 = 5*m. Let l = a - j. Which is smaller: l or 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*x + 292 - 83*x + 37*x - 57 to the form a + u*x and give a.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**6\/120 + 11*k**5\/30 + 13*k**4\/24 + 23*k**3\/3 + 30*k**2. What is the tens digit of n(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 20295?\nAnswer: 162360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/13 + (153\/(-234))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1205*v**3 + 970*v**2 wrt v?\nAnswer: -7230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12) - 280\/(-240).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 8190*x**2 - 8331024*x - 109691816.\nAnswer: -2*(x - 2054)**2*(x + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 3*o + 2. Calculate p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 4*v + 4. Let u(q) = 3*q**2 + 11*q + 11. Let l = -1 - -1. Let y be -14 - (-3 - l\/(-1)). Calculate y*a(z) + 4*u(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176\/1 + 4\/(36\/(-45)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.14850891 equal to -0.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -35. Suppose 2*x + 4*k + 3 - 9 = 0, 0 = -3*x - s*k + 9. Sort -6, -1, x.\nAnswer: -6, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160 or -63895\/399?\nAnswer: -63895\/399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-5) + (5 - 6). Put 2\/3, 4, 0.5, n in increasing order.\nAnswer: 0.5, 2\/3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17425 and 2550?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(704) + sqrt(704) + -4 + -2)**2.\nAnswer: -192*sqrt(11) + 2852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/16)\/((-18)\/(-96)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47322 and 2324514.\nAnswer: 76708962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x - 1903 = -44*x + 1409. What is the least common multiple of x and 1\/(1\/(-2)) + 18?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 59. Suppose -c + 3 = -3*n + t*n, -9 = -3*c - n. Solve 4*l - c*y - 5 = -3, 2*y = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/40 - v**4\/24 - 3*v**2. Let l be h(1). Solve l*m**3 + 6*m**3 - 5*m**3 + 6*m**2 + 0*m**3 = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/5)\/l)**12)**(-8\/5)\/((((l\/l**4*l)\/l)\/l)**(-49))**(-11\/4) assuming l is positive.\nAnswer: l**(13859\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -201212*z - 132758 wrt z.\nAnswer: -201212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1463\/627 + 6598\/6. Which is greater: 1101 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0, -5, 4 in decreasing order.\nAnswer: 4, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 - -55763?\nAnswer: 55740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 13*d**2 + d - 13. Let q be f(13). Let r(l) = 2*l**2 + 225. What is the hundreds digit of r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (-19 + 10) - -6238. What is the highest common factor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8238 - 8238.17281. Round u to three decimal places.\nAnswer: -0.173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 0.17 (b) -1\/2 (c) -316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c + 15500\/3*c**4 + 0 - 5*c**2 + 0*c**3. Let b be i(-1). Round b to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:22 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205 + 215. Let x = 30 - 20. Let f be (-1)\/(-3) - 3\/9. Solve 4*r = -2*b - x, -v = r - f*b + 3*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*(-15)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {i: 18, k: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81.2 + 306.8. Let n = 514678553 + -514678164.999699. Let y = q - n. Round y to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110cad (base 15) in base 16?\nAnswer: -c673f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 at most as big as -4.3681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r + 7. Let j(f) = 9*f**2 - 4*f. Let p(z) = -17*z**2 + 7*z. Let o(w) = r*p(w) - 7*j(w). Let x(i) = -2*i. Calculate o(x(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/5 + o**3\/5 - 22*o**2\/5 + 44*o\/5 - 24\/5 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 46050 = -14210. Calculate the remainder when y is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/3)*(l*l**(-6\/7))\/l)**(-28) assuming l is positive.\nAnswer: l**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 4553768*a**2 - 27322662*a - 40984020.\nAnswer: 2*(a - 2276890)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-3606)\/(-12))\/(1\/(-2)). Let a = p + 1210. Suppose 2*b - 210 = -5*v + 99, 4*b + v = a. Is 38 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.01 (b) 5 (c) 5\/2 (d) -2.4 (e) -3 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*o**3 - 132*o**3 + 8624*o - 8624*o.\nAnswer: 269*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-20))\/1*-10 + 192. Suppose -8*l - z = -12*l. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 - -210. Let w = 36 + b. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*(sqrt(700) - sqrt(700)*4) + sqrt(700) + sqrt(700) + -5*(-4*sqrt(700) - sqrt(700)) + sqrt(700))*-6.\nAnswer: -960*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t\/t**6)\/t)\/t)\/t)\/t)\/(t*t**(-1\/5))*t**(6\/5)*t**1*t)\/(((t\/(t\/(t*t*t**(-1\/9))))\/(t\/t**(-2\/3)))\/(t**(2\/9)\/(t*t**(-3)))) assuming t is positive.\nAnswer: t**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 = -37*s + 1580. Suppose s = -29*g + 192. Solve -4*x - g = 0, 2*x = -5*i + 6*x + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75359, 75353, 75347, 75341, 75335, 75329?\nAnswer: 75323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4208, 0.4, -3, 27 in ascending order.\nAnswer: -4208, -3, 0.4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 9904321.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -34081\nAnswer: 136324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 58 + 7 = -a, -b - 2*a + 20 = 0. Calculate the least common multiple of 36 and (-5)\/b*-3*(49 + 3).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/24*(-30)\/(-2). Suppose 5*b - d = 45. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l + 37 - 37 to the form b + r*l and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480*w + 113*w + 121319 - 1844 = 0 for w.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37\/74 - 4\/((-8)\/189) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -44, -7, -104.\nAnswer: -104, -44, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let w = -10 - -14. Let z(f) = -f - 1. Give w*z(u) + 5*s(u).\nAnswer: u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3250 is divided by 1620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17391)\/(-1953) - (0 - -9))\/(44\/15 + -3)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 735323 and 28384.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2091 - 331. What is the smallest common multiple of v and 1120?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:21 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41327 and 286.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2313115 (base 7) in base 4?\nAnswer: -1012212322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1064, 2042, 3020, 3998?\nAnswer: 4976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21604 (base 9) to base 11.\nAnswer: a858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423744039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/5, 2, 0.3 in decreasing order.\nAnswer: 2, 0.3, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = -5*n - 1, -n = -3*g + 9. Suppose 0 = -5*v + n*v. Solve v = 3*o - 5*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 848847 and 582?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 77*s**2 + 2183*s + 19687. Let j(t) = -t**3 - 78*t**2 - 2184*t - 19686. Let w(y) = -3*h(y) - 4*j(y). Determine m so that w(m) = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + 3*q**2 - 2*q**2)*(-3*q**2 - 77*q + 77*q) as c*q**4 + z + i*q**2 + p*q**3 + y*q and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -776 + 785. What is the remainder when 349 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*j)*(-4*j + 4*j + 2*j**3) + (2 - 2 - 2*j**3)*(3*j - 6*j - j) + j**4 - 2*j**3 + 2*j**3.\nAnswer: 13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 891*x - 2686. Calculate b(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17329, -69407, -156219, -277759, -434021, -624999, -850687, -1111079?\nAnswer: -1406169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 2. Let l be r(5). Let y = -16 + l. Solve y*o + 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*((-135)\/495 - (-18)\/22). Which is the biggest value? (a) u (b) 1 (c) 0.91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21835573787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19964, 19963, 19962, 19961, 19960?\nAnswer: 19959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*z**5 + 5 - 663*z**6 - 138*z**2 - 117*z**2 - 81*z**5 wrt z?\nAnswer: -79560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3\/l*(l\/(l\/(l\/(l**(1\/3)*l)))*l)\/l)**(-7\/4))**(-21) assuming l is positive.\nAnswer: l**(245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26886537343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -29*x - 1625 + 1621 + 18*x + 12*x. Let r(n) = -n**3 - 4*n**2 + 5*n + 7. Let y be r(-5). Let o be q(y). What is the closest to 1\/4 in 1\/12, o, 3\/5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(6\/5)*q**(9\/5)*((q\/(q**(-3\/17)*q))\/q)\/q**(-2\/23) assuming q is positive.\nAnswer: q**(885\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.19, 1.17, -0.02, 22, 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 887*i - 26 = 885*i, -i + 24 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1313313 + 100?\nAnswer: 1320013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -241*f - 953. Determine g(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16 + 12)*-2)\/(2\/32). Let g be (-782)\/(-7) - 2\/(-7). Suppose n = 2*q - r, -2*q = -4*q + 5*n + g. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29188092599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b + 53. Let l(x) = 9*x - 80. Calculate -8*j(r) - 5*l(r).\nAnswer: 3*r - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 3, -3208, 1 in decreasing order.\nAnswer: 3, 1, 0, -1, -3208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/499888 and 51\/1166824?\nAnswer: 464395952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -9. Let m = -82 - -118. Calculate the remainder when m is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2\/7, 0.161, 0.14954, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/10 + (-190)\/(-25). Suppose 1774 = g*k - 3392. Calculate the greatest common divisor of 28 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i - 3234*i**4 - 113*i**2 + 25*i**2 + 1177*i**4 + 4*i**2 - 177*i**2 wrt i.\nAnswer: -49368*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2049*y**3 - 5529*y**3 + 3248*y**3 - 2280*y**2 - 4302*y**3 wrt y.\nAnswer: -51792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 23. Suppose 8*i - i = d. Solve -z - 4*z = -i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + (-54)\/(-12)*2\/3. Suppose 19*j = -4*j + 5*j. Suppose -4*o - 10 - f = -5*u, -5*u - 2*o + 25 = j. Solve -i = -0*i + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1621133*i**3 + 890067*i**2?\nAnswer: -9726798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000110 (base 2) to base 12.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 11. Let s(d) = 21*d**2 + 27*d**2 - 47*d**2. Determine a(s(g)).\nAnswer: -2*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2155 + 2323. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duuv when four letters picked without replacement from wwvwvwdwvuvvwwvudv.\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/20 - 7*s**4\/12 - 4*s**3\/3 - 2*s**2 - s. Let q be d(8). Let x = 11.2 - 11. Sort x, 1, q in descending order.\nAnswer: 1, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 4 + 0*b + b + 12. Let q = 19 - 4. What is the units digit of k(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5209748 is divided by 5209737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-2 - 38890548\/112). Let l = -347279 + z. Let h = -15\/28 + l. Calculate the common denominator of h and 77\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/11)*z*z**(-17)\/z assuming z is positive.\nAnswer: z**(-188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-8)*31276\/5585.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*n**3 + n**2 - 470*n**3 - 58*n**3 - n**2 + 0*n**2.\nAnswer: -46*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.162545 times 0.052\nAnswer: -0.00845234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 20 - 83 = 0. Suppose -2*u - 2*i = -3*i - v, 5*u = -5*i + 45. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -17*f**2 + 30*f - 55. Let c(q) = q**2 - 4*q. Let s(y) = -6*c(y) - d(y). What is the derivative of s(h) wrt h?\nAnswer: 22*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -34. Suppose 4*n = 4*w + 6*n - 2, 5*w - 3*n = 8. Which is the closest to w? (a) 1\/7 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -461*o**2 + o - 2. Let k be i(1). Let h = -22\/15 - -221\/45. Find the common denominator of h and 1 - 3 - 399\/k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + z - z to the form j*z + v and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 6 + 23 + 7. Let i(n) = -4*n**2 + 51*n - 37. Calculate i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1 + 8*u + 5 to f*u + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/5 (b) 3 (c) -1\/3 (d) -0.25 (e) -2\/129 (f) -11 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usdu when four letters picked without replacement from dssusuus.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1285, 1268, 1235, 1180, 1097, 980, 823, 620?\n\"Answer: -a**3 - 2*a**2 - 4*a + 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-1470))\/((-96)\/(-128))?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 11 = z. Let f be 2 + z\/4 - (-21)\/60. Is f at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1429260 and 6431670?\nAnswer: 12863340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + (-12 - (4 + -4)) + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0965308*58\nAnswer: -5.5987864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6372 and 15579?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p - 24629 + 86545 = 0. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (0 - 1 - 4). Let z = 6.3 + -6. Let g = 0.6 - z. What is the closest to 1 in g, 5, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -90285, -90245, -90193, -90123, -90029, -89905, -89745?\n\"Answer: p**3 + 33*p - 90319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 612.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - w - 3*w = 72, -2*w + 29 = 3*v. Let c(l) = 25*l**2 - l. Suppose 3 = 4*z + 7. Let o be c(z). Calculate the greatest common divisor of o and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 - 11554*p - 81077. Give z(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 632 and 47126344?\nAnswer: 47126344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -4.35, -94?\nAnswer: -4.35","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*d = -40*d + 320. Solve -5*w + 10 = -d*c + 7*c, 4*c + 3*w = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 2*f + 6. Give t(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-2) + (-2985)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140322 is divided by 1324?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 5*f - 6. Let o be z(-5). Let c(k) = 138 - 235 + 98 - k. What is the units digit of c(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 4 + 4)*(2 - 3 - 1) + (0 + 3 - 5)*(-2 + 2 - 2) - 1 + 11 - 4)*(21*o - 10*o + 20*o) as v + r*o and give r.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346755 is divided by 9907.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2065*x + 39. Let n(o) = -2*o**2. Calculate w(n(m)).\nAnswer: -4130*m**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 27. Let w(d) be the first derivative of -2*d**3\/3 + 631. Give w(p(o)).\nAnswer: -18*o**4 + 324*o**2 - 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = 5*f - 6, t + 2 = 0. Suppose -4*j = 12, -62 - 4 = -f*r - 2*j. Let l = r + -26. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149 + 157. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1495 - 92*n**2 + 2990 - 1495.\nAnswer: -92*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*k + 28*k - 14*k)*(-20*k**4 - 25*k**4 + 30*k**4).\nAnswer: 795*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 51*s - 541 + 391. Sort s, -5, -53, 4.\nAnswer: -53, -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 5 + 23*x**2 + 1 + 5 to c*x**2 + u + a*x and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16556835, -33113663, -49670491, -66227319, -82784147?\nAnswer: -99340975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -111 and 38.\nAnswer: -4218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6767 + 3245 = 3*l, 3*l + 2*x - 10009 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c + 5 - 2*c**3 + 2*c**2 - 2 + 0*c. Let u be v(-2). Let s = -1 - -1. Solve -5*p - 1 + u = s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6722 + -6726. Let k = -1.2 + 1.5. Put 4, 0, h, k in decreasing order.\nAnswer: 4, k, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (61\/(-122))\/(((-1)\/1)\/(-1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -589924720 divided by 1094480?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*t - 4*b + 1, -3*t - 5*b + 20 = 0. Let j = 51 + -151\/3. Do t and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -224\/5*x + 44 + 59\/5*x**2 - 1\/5*x**3.\nAnswer: -(x - 55)*(x - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3446380 = -3446375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 6)*(-38*y + 1343 - 1343).\nAnswer: -38*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(144)\/sqrt(3))\/sqrt(6))\/(sqrt(144)\/sqrt(4)*3) + 0.\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4) + 36 + (78 - 87).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from kbbbbbbbkbb?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25971377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -37.1.\nAnswer: 185.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 2, l: 1, d: 1, n: 4, c: 3}. Give prob of picking 2 n, 1 l, and 1 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 82*t**2 - 1647*t + 152409. Calculate r(84).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*m - 13, -4*m - 4*c = -c - 18. Suppose 3*o = -m*r - 9, -2*o + 7*o - 4*r + 6 = 0. What is the units digit of 41 + 3 - (o - -6) - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587 + 745 = 111*l. Calculate the remainder when 266 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + 46. What is the third derivative of l*u**5 + u**2 + 19*u**5 - 27*u - 51*u**5 wrt u?\nAnswer: 5280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 1. Let n(m) = -m**2 + 2*m - 2. Let h(y) = -4*k(y) - 2*n(y). Let z(t) = 2*t. Calculate h(z(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2062, -5, -6, 4 in increasing order.\nAnswer: -6, -5, 4, 2062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15927\/25 - -637. Let r be ((-28)\/(-3))\/14*2. Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 681762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3838 is divided by 69?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 3:18 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**7\/6300 + k**5\/300 - k**4\/12 + k. Let u(a) be the third derivative of c(a). Solve u(y) = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 0 + 0*k**3 + 0*k**6 + 0*k**2 + 0*k**5 - 5*k + 5\/28*k**8 + 17\/12*k**4 + 0*k**7. What is the third derivative of h(s) wrt s?\nAnswer: 1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2835 and 46585.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 377 = c + 698, -5*u + 4*c - 1075 = 0. Let v = 215 + u. Suppose 0*x + 1\/3*x**4 + v + 2\/3*x**2 - x**3 = 0. Calculate x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-11)\/(o\/((o\/((o*o*o**(-25))\/o*o*o)*o)\/o*o)*o))**(2\/131) assuming o is positive.\nAnswer: o**(22\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 25*r**2 + 2*r + 13. Let k(j) = j**2 - j - 1. Let p(a) = d(a) + 6*k(a). What is the remainder when p(-19) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**2 - 12*p**2 - 11*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*f**4 - 8*f**2 + 56*f**4 + f + 1 + 19*f**2 + 1 to the form o*f + v*f**2 + g*f**3 + u*f**4 + w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -882, -3291, -5604, -7821, -9942?\nAnswer: -11967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -116 + 105 + (-1 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -2313, 33 in increasing order.\nAnswer: -2313, -4, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1005429917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/((-32)\/(-484)))\/((-2)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19432 + 19432 + v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/9 - 633548*r**4\/9 - 211184*r**3\/3 + 633548*r**2\/9 + 633550*r\/9 = 0.\nAnswer: -1, 0, 1, 316775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 7*s - 2. Let f be (-4 + 26)\/2 + -3. Let k be r(f). Let d be (0 + 0)*(-2)\/k. Solve -5*t = -d*t - 3*m, -t + 5*m - 22 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x + 0*x)*(-3*x**2 - x**2 + 6*x**2) + 5*x**4 + 2*x**4 - 4*x**4 - 8*x**4 - 15*x**2 + 15*x**2 - 5*x**2 + 5*x**2 - 6*x**4.\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*f + 24, f - 5*u = 52 - 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/21))\/i*i**(-2\/147)*i**(-15)*i*i\/(i\/i**(-19)*i)*i*i)**20 assuming i is positive.\nAnswer: i**(-94400\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12220834*l**2 - 2 + 1482447*l**2 + 2.\nAnswer: -10738387*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((1\/3*2)\/(308\/(-231))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*y = 89*y + 6. Suppose -4*h = 5*x - 2*h - 9, 3*h = -5*x + y. Let q(r) = r. Let f be q(3). Solve x*i = 3*t + 6*i - 3, i = f*t + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (1*-65)\/5. Let l(s) = -s**2 - 6*s - 6. Let n be l(-6). Let v = n - w. Solve -13 = k + v*h, 0 = -0*k - k - 4*h - 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:15 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/2 + i\/2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3595*c**2 + 1797*c**2 + c - c + 1799*c**2. Let j(o) = -o - 24. What is j(a(r))?\nAnswer: -r**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136823100 and 100?\nAnswer: 136823100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 - 146.975. Let z = 0.525 - o. Sort z, 2, -2, 1\/10 in descending order.\nAnswer: 2, z, 1\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8969 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 9:36 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 8*w**2 + w + 12. Let o be r(-8). Suppose o*v = 367 - 27. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 8:40 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 28. Suppose -4 + 24 = 5*r, -16 = 2*p - 4*r. Let k be x(p). Let d be k\/(-10)*(-10)\/(-4). Let h(o) = -o**2 + 8*o - 9. What is h(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 105959*t - 43443187. Calculate v(410).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2345 + 1?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -3*b - 4*m, -2*b + 4*m = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**3 + 27*y**2 + 25*y + 10. Give p(-3).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**4 + 5*o**2 - 3. Let p(y) = -23*y**4 + 20*y**2 - 13. Let h = -44 + 50. Let l(g) = h*p(g) - 26*f(g). What is the third derivative of l(i) wrt i?\nAnswer: 432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-2)\/(((-168)\/140)\/(3\/(-20))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2775? (a) -3 (b) 3\/2 (c) -129 (d) -1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/6 + k**4\/24 + 257*k**2. Let d(z) be the second derivative of -z**3\/2 - 3*z + 1. Calculate d(l(g)).\nAnswer: -30*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -0.3. Let x = d + -3. Let o = 3.4 + -0.4. Which is the closest to x? (a) -4 (b) o (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 14*t + 2. Let m = -27 + 31. Let i be v(m). What is the tens digit of 3174\/115 + (-6)\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235124 (base 9) in base 11?\nAnswer: 97373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 i when four letters picked without replacement from xxiaaiixniaiaxiaix?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42151046.\nAnswer: 2, 7, 127, 151, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/3 + -1)*33. Let x(w) = -6*w**2 - 6*w. Let v be 2 + (4 - (12 - 4)). Let p(z) = -z**2 - z. Let m(l) = t*p(l) + v*x(l). Determine a so that m(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/7189?\nAnswer: 1\/7189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7434 and 1763636?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8518657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 301400 and 152977.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 18*w + 10*w - 17 - 4*w**3 + 6*w**2 - 26*w - 6. What are the prime factors of d(-4)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.73, 878.8, 1 in ascending order.\nAnswer: 0.73, 1, 878.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*x**2 - x + 2 + 3*x**3 + 9*x**2)*(3*x - 60 + 60) to the form t*x + v*x**4 + z*x**2 + p*x**3 + o and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 18*x**2 - 65*x + 2. Let p be j(-13). Solve -m - 3 = 4*g, 6 = -2*m - p*g - 0*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 770088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v - 9 = -3*n, -26 = -4*n - 2*v. Let w(q) = q**2 + q. Let j be w(-3). Let x = n - j. Solve -g + 1 = -5*t, -5 = -7*g + x*g - 4*t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-27)*(-66)\/44?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8140 + 8140.055. Put u, -0.11, 3 in descending order.\nAnswer: 3, u, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151298 divided by 18\nAnswer: -75649\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58, -113, -146, -145, -98, 7, 182, 439?\n\"Answer: 2*z**3 - z**2 - 66*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1040347 millilitres?\nAnswer: 0.0001040347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 7*f**2 + 6. Let c be s(7). Let t(n) = -22 + 4*n - 22*n - 21*n - c*n. Is t(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = -0*c. Let q be -2*((-50)\/(-30) + -2). Determine x, given that 0*x**c + 2\/3*x + 0 - q*x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 8) to base 4.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -274 - -176. Does 19 divide (5 - g\/(-21))\/((-2)\/(-342))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71939, 72281, 73191, 74945, 77819?\n\"Answer: 46*h**3 + 8*h**2 - 4*h + 71889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27386 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 4*c**2 - 4*c + 7. Let z be y(3). Let a(w) = 0 - 6 + 4*w - 1 + 1. Give a(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27893 and 0.3.\nAnswer: 8367.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 92*p**2 + 10*p + 441. Calculate n(-46).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7995519, 31981947, 71959327, 127927659?\n\"Answer: 7995476*r**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(32)*-3.\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 18*t**4\/7 + 682*t**3\/7 - 6684*t**2 + 96408*t\/7 - 50320\/7 = 0.\nAnswer: -74, 1, 10\/9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1206\/891 - 10800\/9720?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*z - 266 - 193 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 171722 = 298582. Suppose -38*d + 2*d = -q. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-18)*-2)\/(-1). Let q be (-5)\/(-2) + -1 + -2. Sort -3, r, q.\nAnswer: -3, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*o - 64, 5*o + 0*o = -5. Let d be 9\/(-3*3\/q). Let l = -24 - d. Calculate the greatest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*1*-6)**2 - (sqrt(1088) - (-2 + sqrt(1088))*-5).\nAnswer: -48*sqrt(17) + 39178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -26?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385\/26 + 3449\/182. Let d be -103*(1 - (1 + 1)). Find the common denominator of (-8)\/(-6)*d\/(-24) and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 2, a: 1}. What is prob of picking 2 t and 1 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*s - 764 + 764 as c + o*s and give o.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = -10*j - 272. Find the third derivative of -16*o - 18*o - 12*o**2 - 104*o**3 + j*o wrt o.\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-8) + (84\/12)\/28. Suppose 0 = -p + j*h + 17, 3*p + 4 = -h + 3. Let g(m) = -7*m**3 - m**2 + 3*m - 1. What is g(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189 is divided by 623.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455) - (sqrt(4455) + 1*sqrt(4455)) - sqrt(4455))\/((sqrt(22) - 4*sqrt(22))\/sqrt(2)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.63? (a) -6 (b) -10\/11 (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -11. Suppose -2*i - 24 = -k. Let j = 12 + i. Solve j*s + 3 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-14)\/(-3)*30\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74836656 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - (sqrt(315)\/(sqrt(5) - sqrt(5)*-2) + sqrt(63)) - sqrt(63))\/sqrt(9) - sqrt(77)\/(-3*sqrt(275)))**2.\nAnswer: 2527\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4 - ((-15)\/10 - -1). Calculate the common denominator of 38\/37 and 78\/(-9)*(d + (-19)\/8).\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgaakkkggt. Give prob of picking 1 g and 3 k.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -185, -273, -365, -461, -561?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5\/30 - h**4\/4 + 7*h**2\/2 + 5*h. Let y(d) be the first derivative of u(d). What is the second derivative of y(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.064021ms in microseconds?\nAnswer: 4064.021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 36. Suppose 5*t - 92 + 7 = 0. Solve 2*y = -h*y - 5*f - 25, -4*y - t = -f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - 4*t**3 - 4*t)*(-9*t - 6 + 6) to the form n*t**2 + b*t**3 + s + w*t**4 + g*t and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 351\/5)*(-40)\/12. What is the highest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-217)\/434 - 13\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -10. Let a be c - 9 - (1 + -1). What is the remainder when 45 is divided by (3 - a\/3) + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 7*p**2 - 4*p + 4. Let n = -23 + 21. Let f = n + 7. List the prime factors of z(f).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 11*b**2 - 14*b - 18. Let v be f(-12). Suppose 3*q + 0*q - y = 68, -4*y = 5*q - 102. Let p = q + v. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309158807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**2 + 184*h - 114. Let s be z(30). What is the nearest to -4 in 0.5, -2\/3, 2\/15, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + 2*w)*(w**2 + 1 + 2*w**2 - 8*w**2 + (-1 - 2 + 4)*(0*w - w**2 + 0*w) + 5*w - 5*w + 5*w**2 + 2*w**2 + 1 - 1).\nAnswer: -2*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**3 + s + 1. Let r be h(-1). Suppose -45 = -4*b - r*k, -2*k + 10 = b - k. Suppose 11 = u - q - 31, -b*q - 81 = -2*u. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 502.30324 to the nearest integer.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 3.3522.\nAnswer: -2.6478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**2 + 6. Let p be b(4). Suppose p = 3*t + 4*w, 141 = 4*t - t + w. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/(-296) - ((-202)\/16 + (-27 - -14))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 5539*i**6\/6 - 2*i**3\/3 - 1301*i - 2667. Find the third derivative of v(q) wrt q.\nAnswer: 332340*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 61\/2 of a kilogram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**2 + 12*q**2 + 0*q + 2*q as x*q**2 + t + d*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i. Let c(l) = 17*l**2 - 4*l. Calculate c(p(f)).\nAnswer: 612*f**2 + 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 72*g**2 - 860*g + 7. What is v(12)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -546.\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104954 is divided by 6559.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 10\/(3 + -5). Suppose 2*q - 5*t = -3, x*t = -2*q + 30 - 6. Suppose -5*a = -6 - 4. What is the remainder when q is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -64, -202, -420, -724?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-eight sevenths of a week in hours?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32377674?\nAnswer: 2, 3, 7, 770897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 24 - 39 = 0. Let w be (1*2\/6)\/(-8 - q). What is the nearest to w in 2, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3118767713.\nAnswer: 3118767713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -74, -93, -134, -203, -306, -449, -638?\n\"Answer: -i**3 - 5*i**2 + 3*i - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717 divided by -247?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 - -68. Let h = y + 89. Let c = h - 19. Is 2 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(126\/9)\/(-14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(99) + -2)*-6 + ((sqrt(99) - -1*sqrt(99))*6 - (sqrt(99) + (0 + sqrt(99))*2)))**2.\nAnswer: 270*sqrt(11) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/11))\/o**10 assuming o is positive.\nAnswer: o**(-97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 108 from 0.7265683.\nAnswer: -107.2734317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -f - 1069, 17*j - 15*j + 432 = 4*f. Is j greater than -1291\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/18 - (8 - 15)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t + 92*t**2 + t**3 - 24 + 26 + 2*t**4 - 87*t**2 to the form h + a*t**2 + r*t**4 + g*t**3 + m*t and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0175725 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -722 divided by 2?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 + 824*y**4 + 52660*y**3 + 1075472*y**2 + 8807440*y + 25347200 = 0.\nAnswer: -89, -10, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.6840272 days?\nAnswer: 16.4166528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -38. Suppose 4*g - 5*d = 11, -g - 2*d = g - z. Suppose w = g*w. Let i(a) = a + 12. What is i(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52583 rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*f - 7120 + 1722 = 2727 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/187 and 12\/4489649?\nAnswer: 49386139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-4)\/108*3). Suppose 14 = 2*f + 3*f - 4*h, -h + t = 5*f. Solve 1 = f*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o - 7*o + 2*o - o**2 - 6*o**3. Let b be y(1). Let j(i) = -10*i - 47. Let l be j(b). Solve 4*n = -7 + l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -26584 in ascending order.\nAnswer: -26584, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 16*a - 29. Let i(f) = -5*f + 10. Let l(t) = -17*i(t) - 6*y(t). Let j(m) = -m**2 - 4*m - 3. Let d be j(-4). Is l(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(19)*6 - (sqrt(19) + -2)*6)**2 + -4.\nAnswer: -288*sqrt(19) + 2876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -12*w. Let d be -2 - -6 - 2\/2. Let z = d + -5. Is m(z) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1260)\/sqrt(7))**2.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-880)\/(-28)*(-2 + (-39)\/(-2)). What is the second derivative of 277*d**3 + 273*d**3 - 249*d - p*d**3 + 130*d**4 + 60*d**4 wrt d?\nAnswer: 2280*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*f - 5*m + 9, -4*m + 18 = 2*f. Suppose 6*w - 168 = w + 2*b, -2*b + 120 = 4*w. Let c = 36 - w. Solve -c = -s + f*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 10*j + 10. Let k be 1*-6*10\/(-15). Let w be o(k). Let c = 26 + w. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6476060119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-711 + 2967 - 77)*(-3 - 2 + g**3 + 3).\nAnswer: 2179*g**3 - 4358","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10011100111 (base 2) to base 5\nAnswer: -20010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**2 + 30*r**2 + r**2 + 6*r**2 + 4*r**2 - 2*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09898 - -0.06398. Which is the second smallest value? (a) u (b) -0.5 (c) 1\/7 (d) 3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 906 and 28974786.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + -1)*4\/8*-1. Let g be (3 + (-14)\/s)*(-3 + 0). Factor 5*p**g - 2*p**3 - 4*p**5 - 5*p + 6*p.\nAnswer: p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 14*x**2 + x. Let q be w(1). Let a be q\/(-66)*8\/(-20). Sort a, -2\/7, -2\/13.\nAnswer: -2\/7, -2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:00 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2628?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 + 6868*z**3\/9 + 10624*z**2\/9 - 6080*z\/9 = 0. What is z?\nAnswer: -380, -2, 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 3*y**2 - 6*y + 3. Let m(c) = -c**3 - c**2 - 2*c + 1. Give -3*m(r) + v(r).\nAnswer: r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*h + 15, 2*s + 0*h - 12 = -4*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 20 = 5*u, -3*r = -5*u - 7*r - 20. Let v(w) = 1 + 1 - w**3 + 6*w**2 - 9 + 7*w. Let q be v(u). Round q to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*n**3 + 41*n**4 - 1 + 67*n**3 + 45*n**3 in the form w*n**4 + o*n + c*n**3 + v*n**2 + i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyvgyy. Give prob of sequence gy.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(448)) + -3 - (1*(-2 + sqrt(28)) - (sqrt(1372) + -2 + sqrt(1372)))**2) + -1.\nAnswer: -4732 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(11\/3)*w**(1\/7))\/((w\/w**(2\/7))\/(w**(3\/4)*w)))**48 assuming w is positive.\nAnswer: w**(1628\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 9621\/97 and 98 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 1c?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/24 and 61\/39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 + 8*c\/5 + 12\/5.\nAnswer: (c + 2)*(c + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 199993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16445.1 * 33\nAnswer: 542688.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110011011010101001 (base 2) to base 16.\nAnswer: 736a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Let s(v) = -3*v**3 - 5*v - 5. Let y(l) = 2*l**3 + 3*l + 3. Let h be 9\/(-12) + (-23)\/(-4). Determine h*y(f) + w*s(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10460833 to the nearest integer?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 36, 36, 20, -18, -84?\n\"Answer: -h**3 + h**2 + 14*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 40*v - 73. What is the remainder when t(22) is divided by 163?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1843604 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 2. Let h be (-8 + 5)*(-1)\/3. Let f be y(h). Which is greater: -3\/5 or f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by -24*(3 + -7 + (-15)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2 (c) 0.5 (d) -2906\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-40 - -30 - (-7 - 1)) + 17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 118333.5.\nAnswer: -591667.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3 and 7\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 22. Let n be 4\/(-6) - v\/(-3). Suppose 3*d - 137 + 19 = n*a, 0 = -3*d - 3*a + 102. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*16\/(-120)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8100167 rounded to the nearest 100000?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + c = 5*h - 50, 0 = h - 3*c - 26 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26230 divided by 86?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -192 + 2912. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00917824 take away 369?\nAnswer: -369.00917824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -2947.\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a89 - 804?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**5\/20 + d**4 + d**3\/3 - 7*d**2\/2 - d. Let v be f(5). Suppose -1 = r, -c + v = c + 4*r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1117, 2447, 3771, 5089, 6401?\nAnswer: 7707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.997662nm?\nAnswer: 0.000000000006997662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95691.\nAnswer: 3, 167, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 22 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*o - 2*i - 194, 2*o = -4*i - 106. Let d = -34 - o. What is the remainder when (8*24)\/4 + 1 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.5 (c) -2.8 (d) 0.039 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055773731 rounded to 4 dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:34 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Let j(s) be the first derivative of 2*s**3\/3 + 3*s**2 + 7*s + 517. Let k be j(f). Solve 3*x = 3*w + k, 2*x - 5*x + w = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) - (4 + 2*sqrt(5))).\nAnswer: 2*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 184501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4317899980 to the power of 1\/3, to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a milligram in micrograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:39 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 + 2*g + 1. Let x be p(-1). Suppose 4*z = x*y - 6*y + 191, -4*y + 243 = 3*z. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 5:31 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by (-6)\/(-144)*-4*-426.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 7*x = 34. Solve -x*m + 130 - 138 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(253\/(-55))*8\/(-120)*123.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 18*o**3 - 5*o**2 + 4*o + 5. Let s(n) = n**3 + n**2 - 1. Calculate -k(i) - 5*s(i).\nAnswer: -23*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0 + 4. Suppose -7*w = -22*w + 45. Solve -o = -u + w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4694108 + -1?\nAnswer: 4694107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1258992 and 109008.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-5)\/5*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 214 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.553442um to millimeters.\nAnswer: 0.002553442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.082036 times 0.06\nAnswer: -0.00492216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22254 is divided by 7386.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a + 1\/3*a**3 - 4 + 5\/2*a**2. What is the units digit of t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**3 - 19*m**2\/2 + 4*m + 3. Let h be i(-6). What is the highest common divisor of 45 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4692254038 to 5 dps.\nAnswer: 0.46923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -3*t + 7*t. Suppose -2*n = o + n - t, 5*o - 210 = 3*n. What is the highest common divisor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*i - 109*i + 1060 = -49*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75524, 153680, 231836, 309992, 388148?\nAnswer: 466304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*f + 13842 - 37419, -f - 2*d = -7854. Calculate the greatest common divisor of f and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -0.25 (c) 2 (d) -8\/7 (e) 4 (f) -10 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 380.\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 9:42 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 162331 to the power of 1\/2, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*g - 2846436 + 10715936, -15739000 = 10*q + 3*g. What is q rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2156 and -61\/33069267.\nAnswer: 132277068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 1\/3 (b) -10\/3 (c) -9.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a - 6*a)*(5*a + 4*a - 18*a + (3*a + 0*a - 4*a)*(2 + 2 - 3) + 6*a + 0*a + 0*a).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**5\/15 - 4*s**4\/9 + 8*s**3\/3 - 161*s + 296. Let h(y) be the first derivative of g(y). Solve h(u) = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u - 2*u - 6 + 9 + 3*u. Let v(j) = -4*j - 3 + 1 + 0*j. Give -3*c(f) - 5*v(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -27, -38, -53, -72?\n\"Answer: -2*p**2 - p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 20*j**2 - 3*j + 45. Suppose -11*f + 19 + 201 = 0. Let p be x(f). Put p, 0, 2 in decreasing order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 38 + 59 - 251 - 2*n**3 + 65 + 49 + 60.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)*1*3. Suppose 136*b - 168 = 52*b. Which is greater: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:40 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/2*6\/9. Let o = 3 - c. What is the third derivative of o*s**2 - 5*s**2 + 8*s**5 + s**2 - 9*s**5 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22108, 43234, 64368, 85516, 106684, 127878?\n\"Answer: w**3 - 2*w**2 + 21125*w + 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -7*q - 25 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 20 - 4*q + q - 5*q**2 - 14. Let s be -1 - (3 + 1 + -1). Let j be f(s). What is j rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4413\/11 - 401. Suppose 3*u + 18 = -4*l + 3*l, -2*l = 4*u + 26. Which is the smallest value? (a) l (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngab when four letters picked without replacement from {c: 2, x: 2, n: 1, g: 6, b: 3, a: 5}.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/15 (b) 4 (c) 724 (d) -4.54 (e) 2 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10710938*c**4 + 25*c**2 - 59918.\nAnswer: -257062512*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 3*q**2 - q**2)*(90 + 23 + 11)*(-2 + 3 + 1 + (-3 - 2 + 3)*(2 - 4 + 1)).\nAnswer: 992*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 - -106. Calculate the remainder when 29 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -565 by 5.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvhhvvhvvffhhvlhhvl. What is prob of sequence hfhl?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4612, 5, 0.16, -4, 1, -2, 0.4 in descending order.\nAnswer: 5, 1, 0.4, 0.16, -2, -4, -4612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 873527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 3243176.\nAnswer: 12972704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - o + 1. Let r(v) = -3*v**2 - 3*v - 6. Let y(z) = -4*k(z) + r(z). Calculate y(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4 - 53*x**3 - 669*x**2 + 1053*x + 4374 = 0.\nAnswer: -27, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -352\/3 - 76\/3*n - 4\/3*n**2.\nAnswer: -4*(n + 8)*(n + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o + 5*o**2 + 13*o - 3*o**2 - 16*o**3 + 48*o**3 - 2 to m*o**2 + g*o**3 + d*o + r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 41*v - 43*v = 100010, 15 = 3*v. What is j rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, -0.1, -12083?\nAnswer: -12083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6191, 24106, 53963, 95762, 149503, 215186?\n\"Answer: 5971*k**2 + 2*k + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4\/(1*(-4 + 6)) and (-9)\/(2 + (-14)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 421, 479, 625, 895, 1325, 1951, 2809?\nAnswer: 3935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -20. Let t = 33 + k. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145069033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 651.8 times 1504?\nAnswer: 980307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 1:24 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/576*24\/(-5)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018263 to four dps.\nAnswer: 0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293112 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y + 9. Let u be c(15). Suppose q - 183 = -u. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 - 121. Suppose t*d - c - 5 = 0, -d + 6*d = -5*c + 25. Determine o, given that 3\/8 + 3\/8*o**4 - 3\/8*o - 3\/8*o**5 - 3\/4*o**d + 3\/4*o**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*z**2 - 45*z**2 + 5*z**2 + 3*z**2 + z**2 - 3*z**2 + (3 + 2*z - 3)*(-2*z - 2 + 2) - 8*z**2 + 4*z**2 + 2*z**2 + 5*z to w*z**2 + n*z + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110465563 and 1310192?\nAnswer: 1767449008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1406 - -196.1594. Let c = -49 + -122. Let o = c + n. Round o to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*b - 1 - 1, 5*i - b = 5. Let c(u) = -u - 24. Let n be c(-6). Is 11 a factor of (-25 - n)*-11*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5831.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + y**2 + 8*y + 8. Let w be h(-6). Suppose 5*j - w = -3*r + 2*r, 0 = -5*j - 2*r + 214. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10760a (base 12) to base 6.\nAnswer: -5340014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 29. Is ((f\/2)\/(11\/(-4741)))\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*l**4 - l**3 + 64*l - 3 wrt l.\nAnswer: -936*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 (base 12) in base 9?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, -4\/9, 5\/3, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2. Let f(s) = -9 + s**2 - 1 + 10. Calculate y(f(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0 + 2. Let d = 14464 + -14464.3. Put q, d, -1\/7 in increasing order.\nAnswer: q, d, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -887?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-68 + 14)*(-12)\/10*185.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 2*y**2 - 3*y)*(-6*y - 2*y + 0*y) + (2*y - 2 + 2)*(-2*y**2 + 0 + 0) to the form i*y + l*y**3 + v*y**2 + m and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**3*t*u + 1067*f**3*t + f**3*u**2 + 13*f**2*t*u**2 - f*u + 3*t*u**2 - t*u + 7*u**2 wrt u?\nAnswer: 2*f**3 + 26*f**2*t + 6*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/23)*u**(3\/5)*((u**(2\/3)*u)\/u)**(-44)*((u\/(u**(1\/5)*u)*u)**8)**(5\/13) assuming u is positive.\nAnswer: u**(-117439\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 55. Suppose 2*y = 2*w - 2, 3*y + p*w - 5*w + 7 = 0. Let t(s) = -s**3 - 6*s**2 - 4*s + 6. Determine t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -23\/4, 5\/7, 0, 0.5, -32\/5 in decreasing order.\nAnswer: 5\/7, 0.5, 0, -3, -23\/4, -32\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07 and -1634.\nAnswer: -1634.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/18 and -125\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + l - 61, -13*r + 23161*l = 23158*l + 157 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-7)*-1 - 22\/(-7). Let r(q) be the first derivative of 0*q**2 + 0*q**v + 3 + 3\/4*q**4 + 2*q. Differentiate r(u) wrt u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 24. Find the first derivative of -3 + 13*m**3 + 33*m**g + 28 - 4*m**3 wrt m.\nAnswer: 126*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8030, 1, -5, 3 in descending order.\nAnswer: 8030, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*(-6)\/18. What is the second smallest value in 0.4, k, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjjj when four letters picked without replacement from jmkjmjmjmmmmmmkjjjmm.\nAnswer: 77\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -421 + 483. Calculate the remainder when 187 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**14\/c)**(1\/24))**44)**(-4\/7))**37 assuming c is positive.\nAnswer: c**(-10582\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -20. Let s be 190*(2 + x + -7000). Round s to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 h, and 2 r when four letters picked without replacement from {r: 5, w: 8, h: 2}.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25269 rounded to three decimal places?\nAnswer: 0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 6:08 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 5*h - 30, 2*n = -h + 22. Does -9 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrrwrwqrqowqrwrrwq. What is prob of picking 2 r?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Suppose 2*r = -k*r. Let d(y) = r + y + 0 + y. What is d(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84643.3281 to the nearest one thousand.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5, -1 = 4*l + 4*v - 7*v. Suppose -3*i + 0*d - d = -7, 2*i - 2*d + 6 = 0. Let m be l + (1\/1 - i). Sort m, -5, -3 in ascending order.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1212961 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1840 and 138.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(960) - (sqrt(960) - (((sqrt(960) - (sqrt(960) + sqrt(960)*4)) + sqrt(960) - sqrt(960)) + sqrt(960)))))\/(-4*sqrt(405)).\nAnswer: -25*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5 - 6*q**4 - 2*q**3 + 6*q**2.\nAnswer: 2*q**2*(q - 3)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*a**3 - 45*a + 18319.\nAnswer: 165*a**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5330 - 4595 = 147*v. Solve m - 5*q + 42 = 15, 15 = -v*m + q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3, -19*m = -20*m - z + 5. Let h = 4 - 3. Put h, 2\/9, -2\/5, m in increasing order.\nAnswer: -2\/5, 2\/9, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}