diff --git "a/data/dm_maths/full_data_1/1086_11255.jsonl" "b/data/dm_maths/full_data_1/1086_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1086_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (sqrt(396)*-1 + sqrt(396) + -1 + sqrt(44))*-6.\nAnswer: -12*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2300227863 to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 + -122. What is the biggest value in 16\/7, 0, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1. Let g(t) = 7*t + 84. Let k(d) = -g(d) - 4*v(d). Is k(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.0466 - -0.0466. What is the closest to -3 in v, 2\/15, -0.3, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771766.66 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1854944 and 3968.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -4*d + 17, -44*d - 11 = -47*d - g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -18*q - 193. Let p be z(3). Which is greater: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*v**2 + 239*v**2 - 494*v + 494*v + 1714*v**3 wrt v?\nAnswer: 10284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3077*a = -4*d - 3078*a - 45, 0 = -4*d - 3*a - 95 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a73a - 209?\nAnswer: 8a531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 9. What is k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-802)\/3208)\/((-1)\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*u**3 + 77*u**3 - 247*u**3 + 97*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)\/c)\/c**4)\/(c**7*(c*c**(4\/3))\/c) assuming c is positive.\nAnswer: c**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 + -67. What is the remainder when 213 is divided by a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6 (base 16) in base 14?\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -83080 divided by -4\nAnswer: 20770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102912410?\nAnswer: 2, 5, 2207, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5 = 0, -5*x + 602*y - 12 + 12 = 597*y + 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2237 + -2221. Which is the third smallest value? (a) 7 (b) 2\/21 (c) f (d) 0.1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 0*y**3 + 2*y**5 + 20*y**5 + 13*y**5 - 62*y**5 + (-2 + 2 - 3*y**2)*(0*y**3 + 0*y**3 - 2*y**3) + y**5 - y**4 + y**4.\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r**2 - 1506*r + 5988. Determine b(4).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, d: 1, h: 1, y: 1, u: 2}. Give prob of picking 1 h and 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -14)*((4 - 3) + 0)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3346.79ns to milliseconds.\nAnswer: 0.00334679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 3399 - 879 = 0. What is the remainder when 982 is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*t = 12, -3*t = 4*f - 4*t - 7. Let c(k) = -3*k - 157 + 82 - k**f + 78. Give c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 461658.1 millennia?\nAnswer: 461658100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**32*j*j)**(1\/27) assuming j is positive.\nAnswer: j**(34\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (56\/336 - 5348\/120)\/(2\/(-5)). Solve 0 = 29*w - 24 + f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-5) + -5 + 15324\/3510. Let c = 22\/117 - a. Find m such that -2\/9*m**3 + c*m - 4\/9 + 4\/9*m**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2159 in 5, -2\/9, -4, 3\/2, 36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Let t = z + 1. Put t, -4, 5 in descending order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*a + 428 + 1033 - 166 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 1739414*w**2\/3 + 378194263216*w\/3 + 378196002632\/3.\nAnswer: 2*(w - 434854)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -2. Let t(c) = -c + 9. Let y(h) = -h + 8. Let b(g) = 4*t(g) - 5*y(g). Let q be b(z). Solve -2*o + q = -5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -198.\nAnswer: -198.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 846804 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 2*n + 2. Let w be q(-2). Suppose 4*g = -5*o + 2*o - 23, 4*g + 22 = -w*o. Let f = 4 - o. Solve -f*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 4. Suppose 0 = 12*s - 13*s + 5. Solve -c = -2*b - 3, -1 = 3*c + s*b + u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3)*(47*n - 20 + 50 + 25*n - 29)*(-3*n + 2*n + 0*n) as h*n + r + y*n**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f - 1. Let q be (36\/(-30))\/((-12)\/30). What is x(q)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.0519509 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(1584) - sqrt(11)))**2.\nAnswer: -22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25354 - 24370 = -82*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-80) + ((-7)\/(-5) - -1). Suppose -c - h*k + 25 = 0, -1 + 6 = 2*c - 5*k. What is the remainder when c is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51416719?\nAnswer: 2069, 24851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhiiihbbiibbhx. Give prob of sequence vi.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 61*s - 37*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71041253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27808755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 1:24 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 3*b + 17*h - 2, 3*b - 6 = -3*h. Let m(f) be the first derivative of 4*f + f**2 - 2*f**3 + 2\/5*f**5 - 1 - 1\/2*f**b. Factor m(y).\nAnswer: 2*(y - 2)*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 18. Let f = -4 - -2. Which is the closest to -2? (a) f (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914949311?\nAnswer: 914949311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3183239000 rounded to the nearest one million?\nAnswer: 3183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43746.\nAnswer: 2, 3, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**6\/360 + l**5\/30 - 7*l**4\/24 + 5*l**2. Let r(y) be the second derivative of v(y). Calculate r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 40. Suppose n - 1 = o. Sort 0, o, 4.\nAnswer: 0, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = m. Let n be (24\/(-10))\/(2\/60). Let h = n + 73. Solve -m*t - 3 = h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -17 (c) 2\/13 (d) 0.038 (e) 0.06 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**3 + 7*b**3 + 2*b**3 + (-2*b**2 + b**2 + 2*b**2)*(2 - b + 6*b - 4*b) in the form k*b**3 + x + w*b**2 + a*b and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*x**3 - 18*x**3 + 2124*x**2 - 144*x**3 - 2635*x**2 wrt x?\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 6*r + 13 = -3*r, -94*o = -104*o + 4*r - 40 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48079, 48067, 48031, 47959, 47839, 47659, 47407?\n\"Answer: -2*m**3 + 2*m + 48079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*d - 25826, 46*b - 3*d = 42*b + 34431. List the prime factors of b.\nAnswer: 3, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:58 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p - 0*p + 28. Suppose -4*i = g + p, 4*i - 5*g + 1 = -3. Which is greater: i or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (556\/1529)\/((-28)\/(-22))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2. Let v(g) be the second derivative of 19\/6*g**4 + 0 + 0*g**2 + 51*g + 0*g**3. What is r(v(w))?\nAnswer: -1444*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -94 - (3 - 66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 1. Let g(y) be the first derivative of -y**3\/3 + 3*y + 5965. Calculate g(j) + 4*p(j).\nAnswer: -5*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23980076885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 3. Let s(t) be the third derivative of t**4\/8 + t**3\/3 - 4*t**2. Let h(d) = 2*o(d) - 3*s(d). Let r(z) = -4*z**2. Calculate h(r(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 4*c**2 + 2*c - 2. Give d(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 229, -36?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10551 (base 8) in base 11?\nAnswer: 3392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*s**6 + 24*s**3 + 3*s**2 - 45*s.\nAnswer: -1320*s**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*z + 11248 + 20912 = 0 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -5 + 19 - -7 - (2 - 60)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**2 - 325*p - 7. What is the units digit of r(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 21\/(-70)*932\/(-6). Let d = 48 + y. Which is the third smallest value? (a) -1\/6 (b) d (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2541))\/(sqrt(343) - (-4*sqrt(343) - sqrt(343))).\nAnswer: -11*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -19. Let k = x + 29. Let t = -128 + 236. Calculate the greatest common factor of k and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = 0, 2*p + q + 149 = -0*p. Let a = -3809 - -3809. Which is greater: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13400*k**2*z**3 - 3*k**2*z**2 + 10*k**2*z + k*z**2 - 14*z**2 wrt z.\nAnswer: 80400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4345010 by -2.\nAnswer: 2172505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*s + 46. Let r = s + 23. Suppose 0 = -4*w, 0*a + 4*w - r = -2*a. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249.11995 less than -4606?\nAnswer: -4356.88005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -573, 17 in descending order.\nAnswer: 17, 9, 0, -573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 172 = -4*s, -t + 6 = 2*s - 39. Solve 0 = t*j - 25*j + 64 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-14))\/(6\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -z - 6*q - 4, 5*q - 20 = 2*z. Solve z*c - 10 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and -0.596514.\nAnswer: 0.11333766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45626089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**3 + 3*b**2 - 5*b - 5. Let u(l) = 2*l**3 - 2*l**2 + 5*l + 4. Determine 4*c(i) + 5*u(i).\nAnswer: -2*i**3 + 2*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38059\/18 - -2107. Let f = 138782\/27 - 5142. Calculate the common denominator of f and x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -21, -1\/4, 3\/5, 0.3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 5*n - 14. Let m be b(-2). Solve m + 11 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6576 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 19. Let y = 13 - h. Solve -y = -g, -4*g - 17 + 53 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-21))\/((-216)\/84))\/(1\/4)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -5*f. Suppose 0 = v + 5*q - 25, -q + 6*q - 25 = f. Suppose v = -5*o + 10*o - 130. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeb when four letters picked without replacement from {b: 3, e: 13, s: 2}?\nAnswer: 143\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3505198.\nAnswer: 2, 1752599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/12 and 87\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from bbbbdvddvdvvdddbbvv?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/6*(1 - (-8 - -7)). Find the second derivative of 36*h - 336*h**4 + 44*h + z*h + 2 + 25*h wrt h.\nAnswer: -4032*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -552\/85 - -124\/17. What is the nearest to -1 in w, 5\/4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2 + 3529866*m + 1038329498163 = 0. What is m?\nAnswer: -588311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -212201 (base 3) to base 16\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 53 = -83. Suppose -3*i + 5*o = -31, g - 1 = 5*i + o. Suppose -3*p + 46 + 32 = 0. What is the remainder when p is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/22 and -97\/556.\nAnswer: 6116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 5 + -3 - -4) + (-83 - -99).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/704 and -127\/493696.\nAnswer: 5430656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1739 - 0.0361. Let c = u - 0.79. Sort 2\/3, c, -5, 3 in descending order.\nAnswer: 3, 2\/3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2245*t + 96 = 2233*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzcvchccnhcczvhcnccc. What is prob of picking 1 n, 1 z, and 2 c?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 8:08 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 17*c + 1. Determine r(-14).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29409, 58799, 88165, 117507, 146825, 176119?\n\"Answer: -12*f**2 + 29426*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 89318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - w**2 - w. Let x(a) = -10*a**3 - 9*a**2 - 9*a. Calculate 18*u(j) - 2*x(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 6, -3, 3\/2, -1.9, 3\/7.\nAnswer: -3, -1.9, 2\/11, 3\/7, 3\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 1, -46, 5, -2, 4 in descending order.\nAnswer: 62, 5, 4, 1, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 d when four letters picked without replacement from {k: 4, d: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49a7b (base 12) in base 2?\nAnswer: 11000011010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 146, 519, 1306, 2657, 4722, 7651, 11594?\n\"Answer: 25*w**3 - 18*w**2 - 12*w + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 691a29 - -3?\nAnswer: 691a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3 - c**3 - 15*c**4 + 10*c**4 + 3 wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 - -1)) + 1 - 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46\/7? (a) 0.405 (b) 4 (c) -4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**(1\/13)*(o**(-3)\/o)**(-37))**(-2\/19) assuming o is positive.\nAnswer: o**(-3852\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 15) to base 13.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/180)\/(2\/(-24))*-5. Solve -4*q - v*j = 8, -2*j + 2 - 5 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 - -1) + (0 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47024757 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 207866.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10090*v + 944. What are the prime factors of c(2)?\nAnswer: 2, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2987*k**2 - 4635*k. Let l(t) = 4*t**2 - 5*t. Let a(b) = 1854*l(b) - 2*q(b). Let o(x) = 3*x. Calculate a(o(z)).\nAnswer: 12978*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*k + 13 + 44, 0 = o - 6*k - 7. Let r(j) be the first derivative of 47\/2*j**2 + o*j - 47. Differentiate r(u) with respect to u.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 42*l**2 + 79*l + 44. Let j be c(40). Solve -4*k = 4*i - 3*i + 7, -3*k = -j*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 6, u: 1, g: 3, l: 2, t: 7}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 18732135?\nAnswer: -1\/3746427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239356 is divided by 701?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 346, 347, 348, 349, 350?\n\"Answer: j + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*t + 13*t. Let c be 5\/(4\/(1 + 3)). What is the nearest to -0.4 in t, c, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 38*q + 32 = 0. Solve q - 16 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 4, z: 4}. Give prob of picking 1 z and 1 n.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + -4.4. Let f be 1\/9*-6 - (-86)\/3. Let b = 31 - f. Put j, 3\/4, b, 8 in ascending order.\nAnswer: j, 3\/4, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.99 to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdfcdbcfcddcud. Give prob of sequence bucu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9)*20\/70.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -5, -8, 2 in decreasing order.\nAnswer: 2, -5, -8, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -5, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p. Let z be v(-1). Let n = -3.6 - -2.6. Let g = 16182.8 - 16183. Which is the closest to n? (a) g (b) z (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/15*(-1975)\/158. Sort g, 6, -2 in increasing order.\nAnswer: g, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 3*i - 4. What is the tens digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (-2*sqrt(88) - sqrt(88)))*6)\/sqrt(8).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 5*q**2 + 2*q - 7. What is j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001954553164 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60581463 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 0 - 2 - 6*t + 3*t + 4. Let l = 1 + -2. Let j(x) = -x. Determine l*i(f) - 2*j(f).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1\/2, -4, 1\/5, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003294897 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73170 and 5934900.\nAnswer: 53414100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6)*18\/(-39). What is the third smallest value in f, -2\/11, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3075 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 5*h - 116, 253*x - 3*h = 256*x - 48 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 687045 to the power of 1\/2, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 52430605?\nAnswer: -52430605.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*s - 2. Let b = -4 + s. Calculate the least common multiple of b and (3 - 9)*(-4)\/(96\/28).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -665015.6 - -665425.6193. Let c = 72 + -482. Let g = c + u. What is g rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -46*x**7\/105 + 5*x**3\/3 - 5*x**2\/2 - 90. Let c(d) be the second derivative of y(d). Differentiate c(t) with respect to t.\nAnswer: -368*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 19. Suppose 3*j + 3317 - 13850 = f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 14*a - 83 + 344 = 2*p, 0 = 5*a + 95 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2986 (base 10) to base 2.\nAnswer: 101110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - (-664)\/28. Suppose -5*l = k - x, k + 4*l = 26 - 6. Let i(z) = k*z + 3 + 4*z + 16*z**2 - 17*z**2 - 8. Determine i(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*1 - 30\/(-10). Suppose -z*x + 5 = 0, -3*x + 3 = -5*y - 0*x. Suppose -4 = 4*u, -3*b + y*b + 4*u = -19. Put -3, b, -1 in decreasing order.\nAnswer: b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2176, 17386, 58670, 139066, 271612, 469346, 745306?\n\"Answer: 2173*l**3 - l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19171 - 2.895798?\nAnswer: -19173.895798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -17. Let q = g + 13. Let l = 13 + -9. Put 5, l, q in increasing order.\nAnswer: l, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/217 and (-1)\/(-6) + 14\/((-5292)\/306)?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p - 12. Let s be n(-5). Suppose -s = -5*v + 67. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from rrre.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.9. Let k = 0.165 + 0.035. Which is the nearest to m? (a) k (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -3*d + 0 + 1\/3*d**3 + 0*d**2. Let v(k) = -2*k**2. What is v(g(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 16, 70, 138, 214, 292, 366, 430?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = 2. Let i = 3 - h. Find the common denominator of 68\/60*3\/i and -11\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14453e + ba?\nAnswer: 144609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10253 + -15937. Is 34\/(-187) - (v\/(-22))\/(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16205 = -40*v + 9155. What are the prime factors of v?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11334 is divided by 270?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -12 (b) -45 (c) -2\/3 (d) 18.1 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19531600 and 67936?\nAnswer: 39063200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*d + 5*d. Let c be ((-1)\/d)\/((-2)\/4). Let p be 10199999\/(-1) + (c - 2). What is p rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - 3*j - 2. Let l(h) = 18*h**2 - 294*h - 5. Determine -l(o) + 4*v(o).\nAnswer: -2*o**2 + 282*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 41 - 43 - 30*t + t. Is c(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.18726 and 1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*3\/(-9)*0. Suppose u*w - 8 = -4*w. Which is the closest to 0? (a) 1\/5 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 12. Is l at least as big as 1\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1790 by 895.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v + v + 5*v + v. Let r(p) = -24*p**2 + 14*p. Give n(r(g)).\nAnswer: -48*g**2 + 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.01 + -20.85. Which is the second smallest value? (a) 0.23 (b) -5 (c) z (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.675*-0.5.\nAnswer: -0.3375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 6:31 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 181.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**3 - 7*p**2 + 5*p - 24. Let a(f) = -f**3 - f + 1. Let m(z) = 6*a(z) + w(z). Is 17 a factor of m(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25787 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*b**2 - 3*b**2 - 40*b**2.\nAnswer: -113*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = d - 2*d + f, -f = -3*d - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1161606 = -4*p + f - 1161566, -16*p - 2*f - 151 = 47*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*w + 0 + (-1 + 1 + w)*(1 + 0 + 3) + 87 - 43 - 386*w - 44 to o + m*w and give m.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**6\/840 + y**5\/70 + 5*y**4\/168 - 13*y**2. Find s such that i(s) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283127, 7\/2, 27.\nAnswer: -283127, 7\/2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -317\/6 + 53. Let n(h) be the second derivative of 1\/2*h**2 + 0*h**3 + 0 - 2*h - i*h**4. What is the first derivative of n(m) wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*y = -126*y. Solve -r + 3*t - 8 = t, y = 5*r + 5*t + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-12))\/((-2)\/4) + 342. Find the first derivative of 13*w**2 + 174 + 166 - g wrt w.\nAnswer: 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(6\/5))\/k)*k*k)\/k**6*(k*k**1)**42 assuming k is positive.\nAnswer: k**(411\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 1045, 3541, 8397, 16399, 28333?\nAnswer: 44985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270841\/280 + 7737\/8. Calculate the common denominator of -101\/84 and r.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 79\/1 + (6 - 3). Let a = y + 122. Suppose a + 96 = 4*o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/4*2*4. Suppose -3*o + k = -4*y, 3*o + 3 = -y - 1. What is the third smallest value in 0.3, y, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:32 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + 38\/4)*4\/9. Which is the second biggest value? (a) 2\/17 (b) 0.6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2252*o = 2256*o - 32 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.1 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5235*i**3 + 16151*i**3 - 4*i + 2*i - 2.\nAnswer: 21386*i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - g + 197 - 71, 3*y = -3*g + 189. Let k = y - -260. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 6*h - 5. Let u be p(4). Let y = -0.03 - 0.77. Let g = y - 2.2. Sort g, u, -5 in decreasing order.\nAnswer: u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 13*z + 19 + 6*z + 5*z - 22*z to the form h + v*z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 minutes before 12:07 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k - 4. Let z(j) = -j. Calculate -2*b(v) - 14*z(v).\nAnswer: -6*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**4*p**3 + 36*g**2*p**3 - 2*g*p - 3*p**3 + 4 wrt g.\nAnswer: -36*g**2*p**3 + 72*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3340 + -1223440?\nAnswer: -1232330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2 + 103544*x + 2680339984 = 0.\nAnswer: -51772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61186740?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1938 and 52\/121125.\nAnswer: 242250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3 = -3*a - 11, -2*w = 3*a + 4. Suppose -5*c - 30 = -2*l, -2*l - 44 = 3*c + a*l. Let s = -4 - c. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5 - 7 = 0, -5*r = -3*w + 39. Suppose 0 = -2*j - w + 42. Let a = 44 - j. What is the greatest common divisor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7809)\/3699*(-1 + -8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -253fb23 + 0?\nAnswer: -253fb23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -82203425 divided by -3288137?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*g = 262*g + 586*g - 65464 - 33800 for g.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, -3\/4, 0, 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 211?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1409727105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 92114666143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 625*v - 553*v. Suppose 3*p - 3*m = 36, 16 = -2*p - 2*m + 56. Solve -v*s + 20 = 4*u + 2*s, -2*u + p = 4*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14952046?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.24 - -31.507. Round t to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27525.01 nanometers in micrometers?\nAnswer: 27.52501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2704 divided by -338.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 706265 and 357?\nAnswer: 2118795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + d - 2. Let p be j(2). Suppose -2*s - 2*k + 568 = 0, 4*k = p*s - 457 - 695. Let t be ((-13)\/s)\/(1\/4). What is the closest to 0 in -0.7, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**3*w + 4*a**3 - 13*a**2 - 488*w wrt a.\nAnswer: 6*a**2*w + 12*a**2 - 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 2) + (16 - (32 + -16 - -15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36062654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291685*j - 44759*j - 453650*j - 1175695*j.\nAnswer: -1965789*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 16, -2*a - 5*x - 7 = 57. What is the remainder when 3\/(-7)*a*7 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/36)\/(52\/18 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.54432489 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239012 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(0 + sqrt(684)*1 + sqrt(684)))**2 + 5.\nAnswer: 2744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + 255. Let f(w) = -w**3 - 3*w**2 + 6*w - 1. Let l be f(-6). Let q = v + l. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -57903?\nAnswer: 23161.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/9*(-48)\/20. Let y be 3\/(-1*(-6)\/(-8)). Let w = y - a. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4851*s**3 - 101*s**2 - 17800583*s.\nAnswer: -29106*s - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 14*z**2 + 27*z + 10. Let c be h(-16). What are the prime factors of -1*(-18)\/6*c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + (-14 - (6 - -31 - 30))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (98\/(-35))\/(9\/(-216135))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9863 is divided by 1466?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 18*u - 39. Let h(p) = -3*p**2 - 26*p - 59. Give -8*g(c) + 5*h(c).\nAnswer: c**2 + 14*c + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 5 (c) 1 (d) 4\/3 (e) 1781\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/25 and 131\/80221710.\nAnswer: 401108550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idiiidiiddi. What is prob of sequence diid?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 532\/112 - (27\/6 + (-3)\/(-2))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + 126\/(-24))*-4 - (4 - 16295) a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 3*g + 2. Let o(b) = 2*b**2 + 9*b - 16. Let j be o(-6). Let p be x(j). Calculate the remainder when 69\/p - 0 - 19\/76 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324\/(-189)*1*-6*2*49\/28.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 725*p**2 - 8*p - 7. Let r(b) = -725*b**2 + 7*b + 6. Calculate -5*f(k) - 6*r(k).\nAnswer: 725*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 11, -116, 2 in increasing order.\nAnswer: -116, -41, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1069213971?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j = 0, 2*v + 7*j - 12*j - 6 = 4*v - 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w)\/w*w*w**3\/w*w**7\/(w**(1\/12)*w)*(w**8\/w*w\/(w**(-1\/6)*w)*w)\/(w**1)**26 assuming w is positive.\nAnswer: w**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/130 and -23\/834928.\nAnswer: 54270320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7016564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 1. Let q(a) = 8*a - 578. What is -q(d) - 4*w(d)?\nAnswer: 4*d + 574","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 5670625, -5 in increasing order.\nAnswer: -5, 0, 3, 5670625","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 809465849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 318826 or 318827?\nAnswer: 318826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -4051457 and -4051460 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 - 21 = 4*x. Suppose -10*s = -15*s - x. Let m be 21\/9 - s\/6. Solve m*j - 7 = -23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o + 6. Let c(r) = 17*r - 13. Let d(l) = -3*c(l) - 7*s(l). Let p be d(3). Suppose -2*h = -3*q - p, 0*h + 28 = 3*h - 2*q. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30349, 30325, 30301, 30277?\nAnswer: 30253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjjj when four letters picked without replacement from {j: 7, p: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -636 + 640. Let l = -3.05 + 0.05. Which is the closest to z? (a) 3 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/3212 and -67\/88.\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 7. Let p be k(-5). Let q = 133 + -119. Let s = q - p. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeeeooeooooeoo. What is prob of picking 3 e and 1 o?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(-364)\/(-546)*(-10)\/4\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywwwhy. What is prob of sequence wh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:32 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27371425 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 265, 613, 1101, 1729, 2497, 3405?\nAnswer: 4453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 2)*(-1 + 0 + 0) + (-4 + 1 + 2)*(-3 - 3 + 4) - 3 + 6 - 4 + 2 - 7 + 1)*(20*z**3 + 4*z**3 + 2*z**3).\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*n, -n + 161 = 166 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-45)*j**(-7)*((j**15\/j)\/j)\/j assuming j is positive.\nAnswer: j**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 8)*(3 + 2 - 3)*(-4 + 3 + 2)*(2*f - 4*f + 3*f).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + 100 - 100.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 6 + 8. Let z = -5 + 5. Suppose z = -2*l - w - w + 4, -5*l - w + 18 = 0. Solve q*y + 4 = l*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422909*r - 422909*r + 7329*r**2.\nAnswer: 7329*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1920) - (sqrt(1920)*2 - sqrt(1920))) + sqrt(1920) + sqrt(1920) - sqrt(1920))*-5)\/(sqrt(160) + -5*sqrt(160)*4 + sqrt(160) - sqrt(160))*2.\nAnswer: 100*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 12:41 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -87*x**3 - 11*x**2 + 155*x - 25. Let n(d) = 31*d**3 + 4*d**2 - 52*d + 9. Give -11*n(o) - 4*y(o).\nAnswer: 7*o**3 - 48*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgjjjjjjjjjjjjjjjjxj. Give prob of sequence jj.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-4\/5)*n))\/(n*n**5))\/((n**2*n)\/n*n*n**(-2\/25)*n)*((n\/(n*n*n\/n**(2\/13)*n))\/(n\/(n*n\/(n\/(n*n*n*n**12*n*n*n*n)))))**41 assuming n is positive.\nAnswer: n**(211961\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 4*o + 16. Let y be w(-7). Let t(p) = -p - 4. Let f be -6*(2 - 8\/6). Let v be (-6)\/4 - 10\/f. Let d(z) = -1. What is v*t(i) + y*d(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7*s + s + s - 19*s + 4*s.\nAnswer: -6*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5361 = -6*y + 2805. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - 16340?\nAnswer: -16353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 20 = 4*o, 3*o + 0*c + c = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -433*t**3 + 4*t**2 + 3. Let k(d) = -d**3 - 2*d**2 - 1. Determine g(c) + 3*k(c).\nAnswer: -436*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 5\/((-5)\/(-8)). Let k = 6 + j. Let r = k + 5. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32504152 divided by -2\nAnswer: -16252076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358 (base 15) to base 12.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (26\/1)\/(12\/6606) a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(2\/5)*(w*w**7)\/w)\/((w\/w**(-7)*w)\/(w**(3\/8)*w)) assuming w is positive.\nAnswer: w**(39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18*(11\/66 - 17\/3). Let b be x\/54*(-2)\/(-5). Let c = b + 7\/5. What is the closest to c in 3\/7, -0.21, 0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*x - 15, -142 = -268*p + 245*p - 4*x for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/5 in 4, 105, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.9 rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -33 + 24 - (46 + -5).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 2\/7 (b) 1\/7 (c) -2 (d) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5764231 and 1804.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2) - (1 + -3). Let p(h) = h**3 - 4*h**2 + 3*h + 2. Let k be p(d). Let o be (-28)\/(-21)*3\/k. Put -5, 1, o in descending order.\nAnswer: o, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 14 - t**2 + 5*t - t**2 + 4*t. Let g(v) = -v + 1. Let f(w) = -70*g(w) - 5*r(w). What is the second derivative of f(y) wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*a + 626*a + 1031*a + 14*a)*(-3*a**2 - 107*a + 2*a**2 + 99*a).\nAnswer: -1703*a**3 - 13624*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 80 - 66 = 0. What is the common denominator of (-516)\/(-36) - (a + 20\/8) and -83\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**2 - 7*h + 9. Does 30 divide x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 804 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 37 (b) -7\/3 (c) -16 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2. Let g be -2 - -7 - (-3 - -2). Let t = -11 + g. Let y(b) = -5*b + 4. Let h(c) = -6*c + 5. Let a(l) = t*y(l) + 4*h(l). Give m(a(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 2 - (1 + -5 + 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/63)\/((-4)\/(-6)). Which is the third biggest value? (a) -5 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1255, 1254, 1251, 1246, 1239, 1230?\n\"Answer: -x**2 + 2*x + 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.018+0.032858\nAnswer: 0.014858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4110.\nAnswer: 12330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 916, 940, 950, 940, 904, 836, 730, 580?\n\"Answer: -w**3 - w**2 + 34*w + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8649, -17399, -26311, -35379, -44597?\n\"Answer: d**3 - 87*d**2 - 8496*d - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -835209, -835179, -835121, -835029, -834897, -834719?\n\"Answer: g**3 + 8*g**2 - g - 835217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 511 divide 1350888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 114, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.9 - 6. Which is the closest to q? (a) 1\/2 (b) -0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(1452) + sqrt(1452) + -4*sqrt(1452) + sqrt(1452))*-6)\/(sqrt(66)\/((sqrt(99)*1 + sqrt(99))\/sqrt(9))).\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3*-1*285*(-34489)\/(-103467).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/14 and 44\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {z: 3, q: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62549397*p**4 - 1290107*p**2 - 16 wrt p?\nAnswer: 1501185528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7399999.\nAnswer: 43, 172093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, -5\/299, 71 in descending order.\nAnswer: 71, 0.24, -5\/299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16*387.25\nAnswer: -6196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 382 - -1633. Let a = -1150 + s. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(432) + 2)*-1 + 3 + (sqrt(432)*3)\/(sqrt(484) + -2*sqrt(484))))**2.\nAnswer: -2700*sqrt(3)\/11 + 608589\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 94. Let a = -27.3 + o. Sort a, 3, 2\/3 in ascending order.\nAnswer: a, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/15)\/y**(3\/11))\/(y**14*y**(5\/13)) assuming y is positive.\nAnswer: y**(-31154\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37890 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 36. Let b(m) = -m. What is -5*b(s) - z(s)?\nAnswer: s - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1630763328 divided by -2?\nAnswer: 815381664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 4*t**2 + 4*t. Let h be d(-5). Find the second derivative of 12*x**2 - 12*x**2 - 24*x**h + 33*x wrt x.\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 178436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -16005000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3654, 3652, 3650, 3648?\nAnswer: 3646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 29. Suppose h*m + 0 = 5*z + 13, m = z + 5. Let c(d) = d**2 - 5*d + 1. Let i be c(5). Solve -m*v - t + i = -2, t = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -33*l + 74. Let y(t) = -16*t + 37. Let n(o) = 6*b(o) - 13*y(o). Let v be n(4). Let m(z) = -2*z**2 - 4*z + 4. Give m(v).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -665, -971, -1251, -1499?\nAnswer: -1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*t + 1 = 0, 4 = -2*s - 3*t + 5*t. Let b(u) = 11*u**2 + s - 6*u**2 + 8*u**2. Let q(m) = -m**2 - 19*m + 67. Let p be q(-22). Give b(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17730 and 522?\nAnswer: 514170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1874 = 3*j, -2*i = -4*j - 3*i + 2490. Let f = j - 412. Suppose 0 = 5*x - 0*h - 2*h - f, 2*x + 5*h = 113. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 - 93*k + 16. Let r be b(31). What is the greatest common divisor of 304 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(2 - 16\/(-6)). Suppose 5*j - c = 36. Suppose 4*v - 18 = -2*u, -3 = 4*v + 3*u - 18. What is the smallest common multiple of j and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40244 + 40245.6891. Let a = 24.3 - 26. Let s = p + a. What is s rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -33 - (-2 + -1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 67 - 100 = -41*v, -v = -g + 2*v - 20 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 5. Let s(n) = 406*n + 3. Is s(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 19 = 5*n, -n = 50*v - 54*v + 1. Solve n*i - 3*d - 14 - 1 = 0, 0 = -3*i + 4*d + 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*u - 5*f, -3*u - 10 = -f - 28 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 127 = -4*i. Let j be (5 - 0) + 216\/i. Let k = -11 - -25. Is j less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + (2 - (-1 + 3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 0. Let q(f) = -f**2 + 11*f - 1. Let r be q(11). Which is the closest to 2\/3? (a) -0.2 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/60 - 3*i**4\/8 + 23*i**2. Suppose r + 26 = -3*b - 0*r, -3*b - 3*r = 36. Is t(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15815 + -9445. Suppose -5*r - 3*y + p = 0, 0 = -4*r - 2*y + 6546 - 1448. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*a - 531 + 507 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.2. Let i be 1*3*(-896)\/504 + (-116)\/(-87). What is the closest to 0 in k, 0.2, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.06, -3, 1\/2, 4\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1113124 (base 12) to base 13\nAnswer: -8a2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2556.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79829237.\nAnswer: 79829237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z + 107. Let f be u(-5). What is the greatest common divisor of f and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -30, -4, -12 in descending order.\nAnswer: 5, -4, -12, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-16) + (-230)\/80. Let g be -1 - 18\/4*74\/o. Suppose 10*w - 15*w = -g. Which is smaller: w or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2733 is divided by 1342.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 63 = -4*y, x + 4*x = -y + 27. Suppose f - y = -f. What is the derivative of f + 6*u**2 - 4*u**3 - 6*u**2 wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 8, 0.1 in decreasing order.\nAnswer: 8, 5, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - b**5 - 2*b**5 + (b**3 + 2*b**3 - 4*b**3)*(3*b**2 - b**2 - 3*b**2) + (0*b**4 + 2*b**4 + 0*b**4)*(-14 + 14 - 7*b).\nAnswer: -15*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 994*l + 2032. Calculate q(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (500\/5950)\/(2\/28). Which is the biggest value? (a) x (b) 0 (c) -1\/4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(9\/7)\/h)\/(h\/((((h**(-19)\/h)\/h)\/h)\/h)))\/(((h*h\/(h\/(h**(-17)*h)*h))\/h*h)\/h**8))**(10\/13) assuming h is positive.\nAnswer: h**(20\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/(-12)*(-8)\/(-3). Let w = -6 - s. What is the third biggest value in -2\/9, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63f9 - -2?\nAnswer: -63f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51185 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 31. Let q(d) = -6*d - 63. What is -3*q(c) + 7*w(c)?\nAnswer: -3*c - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - p - 2*p)*(4 + 4 - 2) + 0*p - 4*p + 5*p.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + q**3 - 9 - 2 - q**2 - 6*q**2 in the form l*q + t + x*q**3 + b*q**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f - 16*f**3 + 4*f + 27*f**3 - 22*f**3 - 54*f.\nAnswer: -11*f**3 - 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/4)*a*a*a**(-22\/3) assuming a is positive.\nAnswer: a**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 2:31 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*4 - 177. Let x be (v\/14)\/(3\/12*-1). Suppose b = -r + x, 3*r = -r - 2*b + 206. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*-14.1.\nAnswer: 1.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14862172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwi when three letters picked without replacement from miimmwmmmm?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*q + 160*q + 22*q + (3*q - 2 + 3*q - 4*q)*(0 + 2 - 4) to the form a*q + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 280 = -4*p. Let l = p + -178. Calculate the smallest common multiple of l and 20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-2\/9)\/t)\/t*t)\/(t\/t**3))**(-26\/9)\/(t**(-3\/8)\/(t\/(t*t*t\/t**3*t)))**(-27) assuming t is positive.\nAnswer: t**(-9889\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 4*a**2 - 4. Let c be f(4). Let x = c + 8. Suppose -3*k + 7*k - 64 = -x*u, 0 = u + 5*k - 12. What is the remainder when 31 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 3111, 3, -0.4, 1\/3?\nAnswer: 3111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, -21, -5, 423, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25741184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k = 63470 - 546929. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(44)\/sqrt(4))*-4 - (6*(2 + sqrt(432)))**2.\nAnswer: -15696 - 1732*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -1)\/(3 + -1). Let i(s) = 0*s + v*s + 2*s. Does 14 divide i(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29874 and 15.\nAnswer: 149370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15437\/19840 + 55\/128. Find the common denominator of v and 19\/155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2 = 0, 4*u - 8*o - 10 = -3*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + p**4 + 0*p**4 + (4*p**2 - 3*p**2 + p**2)*(-5*p**2 + 3*p**2 + 4*p**2) + (p**4 + 2*p**4 + 0*p**4)*(-3 + 0 + 7).\nAnswer: 17*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.604 - -2.804. Let z = -3.91 + -0.09. Which is the closest to p? (a) 0.4 (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 162657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*a + 39*a - 34*a)*(-a + a**2 + a + (-a + a - 4*a)*(a + 4*a - 2*a)).\nAnswer: -396*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j + 198. Let h be d(-5). Suppose -h*i + 245*i = -3. Solve -5*z + 6*z + i = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = 4*s. Let c be s*3\/(-2) - 1. Let n be 24\/32*8\/c. Solve -i = n*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3930.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 175 + 3\/((-9)\/6). Let n = -147 - z. What is n rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**6\/300 + p**4\/60 - p**2\/2 - 3. Let o(u) be the second derivative of h(u). Factor o(w).\nAnswer: -2*w*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 5*o**2 + 2*o + 4. Calculate the remainder when 47 is divided by d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -711 * 505402\nAnswer: -359340822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 530863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098850057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*h + 7, 5*h - 1 = -7*u + 4*u. Let s(x) = x**2 - x + 2. Let f be s(h). Suppose 2*z + 0*y - 3*y = 42, 0 = f*y. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*4\/(-4) - -4. Suppose -g*d = 3*d + 7. Let o be 12\/15*(-1)\/(-4). Is d >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*n - 2 - 12 = 0, i - 2*n + 2 = 0. What is the second derivative of -11*g**4 - 4*g + 22*g**4 + g - 4*g**i wrt g?\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from gddzzidggzgdzdgg.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 553\/5 - 111. Let i = -3.93 - 0.07. What is the second biggest value in -1\/11, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28233 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/28 - 210\/(-8). Suppose -k = 2*f - 106. Let m(g) = 6*g**2 - 6*g + 5. Let c be m(1). What is the greatest common factor of c and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/8 + 27*l**3\/4 - 143*l**2\/8 - 255*l\/4 = 0. Calculate l.\nAnswer: -2, 0, 5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2158731?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*x - 143*x + 7*x)*(-2*x - x + 4*x) + 2 + x**2 - 2 + 2*x**2 - 4 + 4 + (-2*x**2 + 3*x**2 - 2*x**2)*(10 + 4 - 7).\nAnswer: -128*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f - 3 + 2 + 0. Is 11 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnnnnarnrrhhnn. What is prob of sequence nn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 102937581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177\/4 - -44. Let h = -0.18 + -0.12. Which is the nearest to -5? (a) n (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/((g*g\/(g*g\/(((g\/g**10)\/g)\/g*g)))\/g*g)*(g\/(g*(g\/(g\/(((g\/(((g*g**(-2\/15)*g)\/g)\/g)*g)\/g)\/g*g*g)))\/g))\/g assuming g is positive.\nAnswer: g**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - 27*x + 31*x - 2*x**2 + 11. What is the remainder when 212 is divided by a(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/4725 and -113\/67200?\nAnswer: 604800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(50\/((-50)\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -28\/3649?\nAnswer: -28\/3649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4007122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o - 3438 = 0. Let k = -1136 - o. Let w be 53 - ((-3 - -3)\/(-4))\/1. What is the greatest common factor of w and k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/(6\/(-36)). Let r be -1*3\/(-24)*q. Let o = 3.3 - 3. Is o less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - 7.2. What is the closest to y in -0.4, 1\/12, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqoouqo. Give prob of picking 1 q and 1 o.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:46 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -10*i**6 - 7*i**4\/6 - 16*i. Find the third derivative of r(g) wrt g.\nAnswer: -7200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + -19. Let m = i - -33. Suppose 0 = 12*y - 43 - 5. Solve -y = -b - m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 529 and 47081.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 0*w + w)*(w + 3*w - 3*w + (-3*w + 2*w + 0*w)*(2 - 5 + 7) + (-2 - 1 + 4)*(-1 + w + 1))*(1 + w - 1) as f*w**2 + d + p*w + u*w**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34979 and 399?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 0*s**2 + 4*s**2 - 3*s**2. Let j(m) be the second derivative of m**4\/12 + 4*m. What is d(j(k))?\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*o**4 - 91*o**4 + 48*o**4 + (2 + 0 + 0)*(-27*o**4 - 23*o**4 + 12*o**4) in the form z*o**4 + q*o**3 + h + y*o**2 + d*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1751, 1757, 1767, 1781, 1799?\n\"Answer: 2*v**2 + 1749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1583, -1459, -1295, -1127, -991, -923?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1123, 1019, 837, 571, 215, -237, -791, -1453?\n\"Answer: -q**3 - 33*q**2 + 2*q + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**23\/(q**(2\/87)\/q)*q**(22\/3)\/(q*q**(-3\/7)*q))**(7\/6) assuming q is positive.\nAnswer: q**(6037\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**3\/12 + 7*l**2\/8 - 1251. Factor x(s).\nAnswer: s*(s + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a - a + 1)*(-4*a + 16*a + 5*a) + 0 + 3*a**2 + 0 + (a + a + 0*a)*(a - 10 + 10).\nAnswer: -29*a**2 + 17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6.4. Let r = s - 2.4. Let o = -35996 + 35991. Put -0.3, r, o in decreasing order.\nAnswer: -0.3, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-56)\/(-12))\/7*6. Suppose 3*m + h + 15 = 7*m, p*h - 20 = 0. Suppose -9*c = -m*c - 108. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4*c - 22 = -5, 5*a + 5*c = 20. Is a at most as big as -0.0207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 0*n - 2*n + 2*n. Let x(l) = -95*l. Calculate t(x(z)).\nAnswer: -95*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15040 and 3172312?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p + 14. Determine c(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44291434, 44291435, 44291436, 44291437, 44291438, 44291439?\n\"Answer: j + 44291433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 1\/5, 1\/8, 656\/13 in decreasing order.\nAnswer: 656\/13, 49, 1\/5, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 268 = -2*k + 280, -k + 7 - 1 = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + f + 6 = 5*f, -2*f - 7 = -3*b. Solve 5*q - 8 = i, 4*i + 6 = b*q - 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - (-5 + 4) - 5) + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-1)\/(0 + -1). Suppose 0 = -o*g + 3*k + 22, -k = g + 3*k. Let t = 49 - g. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 2 = 0. Let p(o) = o**2 + h + 1 + 2*o + o**2. What is the smallest common multiple of p(-3) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihf when three letters picked without replacement from {n: 7, o: 4, i: 1, z: 1, h: 2, f: 4}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 28. Let b be (0 + -2 + 10)\/z. What is the second biggest value in -3, 6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 37*s**3 + 11*s**2 + 7*s + 7. Let p(l) = 19*l**3 + 6*l**2 + 4*l + 4. Let c(k) = 4*a(k) - 7*p(k). What is the third derivative of c(w) wrt w?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46.62 + 45.62. Let h = 23 - 23.36. Which is bigger: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 727 + -148. Suppose 5*j = -0*f - 4*f + s, 2*j + f = 231. Suppose 85 = 4*c - 3*y, 0 = 5*c - 2*y - 0*y - j. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83506554 rounded to the nearest one million?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 526. Let a(w) = -16*w**2. What is a(u(m))?\nAnswer: -64*m**2 - 33664*m - 4426816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 21350878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/7)\/(-2))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:21 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 421974659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 15825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100342 divided by -404?\nAnswer: -50171\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 66, 3, -0.7, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, q: 8, z: 2, i: 2}. What is prob of sequence qqzn?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1229 - -1291. Suppose 3*i - 2*i = 0. Suppose -2*f = -4*a - 4*f + 256, a + f - q = i. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15880, -63821, -143788, -255781, -399800, -575845, -783916?\n\"Answer: -16013*h**2 + 98*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*g - 5 = 0, r - 5 = 3*g + 2*g. Let z(s) = -s - 3. Let m be z(-3). Suppose 3*j - r*n = 43, 3*j + 3*n - 27 = -m*n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136068 is divided by 903.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010011100 - -10011001?\nAnswer: 1110100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l + 5. Let m(z) = -1330*z. Calculate m(o(k)).\nAnswer: -6650*k - 6650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.507 less than -8262.113019?\nAnswer: -8261.606019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102277489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdahbabddbd. Give prob of sequence dad.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 87.08. Let d be 2\/(-3) - (-89 + 89). What is the nearest to 3\/5 in l, d, 0.4, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32254.967 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/3, 275, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 493, 485, 479, 475, 473?\n\"Answer: p**2 - 11*p + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.548936 litres to millilitres.\nAnswer: 3548.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by (-6516)\/(-102) + 5 - 2\/(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.2, -40.1?\nAnswer: -40.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-3)*(-3)\/2. Let r = -281 + 297. Suppose -l*a - r + 80 = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4128454 to the nearest integer?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**6\/48 - o**5\/8 - 5*o**4\/24 - o**2 - 28*o + 131. Let z(f) be the second derivative of l(f). Let z(n) = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcc when three letters picked without replacement from czzczcfzcccf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from vvngnvngvn.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 - -176?\nAnswer: 15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*o + 8382 = -3966 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - 7*g**2 + 2. Let i(n) = -n**3 - n**2 - 1. Let m(v) = -3*i(v) + w(v). Determine m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.5, -4, 0.18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 11?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + c = -169, -4*x + 177 = x - 3*c. What is the smallest common multiple of 30\/(-2)*(0 - 1) and x?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (1 + 3 + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 19*y**2 - y + 23. Let q be h(19). Let d be 28\/7*14\/q. Suppose -136000 = -6*c + d*c. Round c to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*v + 361*v = -18. Let z = -31 + 47. Calculate the remainder when z is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -203, -193, -177, -155, -127, -93, -53?\n\"Answer: 3*d**2 + d - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(-3*sqrt(363) + sqrt(363)).\nAnswer: -sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 35*s + 55. Let i(j) = 5. Let n(m) = -22*i(m) + 2*t(m). Let f(x) = -3*x**2. Calculate n(f(l)).\nAnswer: -210*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-2\/21)))\/(t*t*t*t**(3\/2)\/t))**(-4\/7) assuming t is positive.\nAnswer: t**(302\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 36664*q - 3 = 36665*q, -4*q = j - 39 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + -83 - -47) + 26.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -17. Which is the second smallest value? (a) -3\/5 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4\/24 + 3*x**3\/2 - 57*x**2\/2 - 71*x. Let o(r) be the first derivative of k(r). Give o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a - 55. Let s be n(-9). Calculate the common denominator of (12\/s)\/(1 - (-25)\/(-31)) and 37\/162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*f - 37*f - 94 = 171. Suppose -2*b = -6 + 20. Sort b, f, 5, -2.\nAnswer: b, -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868979.\nAnswer: 173, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -778, 3, -5, -3 in increasing order.\nAnswer: -778, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 - 2045.6?\nAnswer: -2042.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from gccgg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*h + 2 + 2184*h - 2.\nAnswer: 2737*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-6*2 + sqrt(405) - sqrt(405)*1*3) + 3.\nAnswer: -126*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 smaller than 10233\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12, 375, -15, 9 in ascending order.\nAnswer: -15, 1, 9, 12, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -804 - -8?\nAnswer: -7eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 7. Let z be d(9). Let w = 1\/2569 - -115601\/10276. Calculate the common denominator of z\/2 - (-182)\/12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(10\/(-4)*(-2)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 999080692 to the power of 1\/3, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3 = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - 83?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 - 256 - (-154 - 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyykkykzy. Give prob of picking 4 y.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23911 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -161\/4?\nAnswer: -161\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1024*a**2 + 23*a + 41. Let y be w(-2). Let t = -2012 - y. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*g**2 - 292*g**2 - 298*g**2 - 311*g**2 - 304*g**2 + 1520*g**2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6545 + -23359103\/3569. Let z = h - 171326\/24983. Let n = z - -45\/7. Put -5, -4\/7, n, -3 in decreasing order.\nAnswer: n, -4\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10667?\nAnswer: 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oggg when four letters picked without replacement from gogoggoooooggg.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -348 - -359. What is the greatest common divisor of 55 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51714517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*h = 400, -33 = -a + h + 87. Suppose -z = 4*z - a. Solve 0*s = 5*s + z, -5*p - 10 = -s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 4. Let m(q) = q - 530. Give m(t(z)).\nAnswer: z - 534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + (-3 + (2 - -3) - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468360 (base 9) to base 4.\nAnswer: 1010301123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4445 (base 8) to base 2.\nAnswer: -100100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -15. Let r = n + -7. Is r - (-7)\/((-14)\/(-24)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3301 and -4.\nAnswer: -13204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 62 = j, -3*j - 3*l + 189 = -0*l. Suppose 4*r = r + 5*d + 40, j = 4*r + 4*d. Let t = -15 - r. Round t to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.35817 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/16 + (-2)\/(-8). Let h(y) = -7*y + 1. Let u(p) = -11*p + 2. Let r(w) = c*u(w) - 8*h(w). What is the first derivative of r(i) wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -36 + 6. Let k(f) = -f**3 + 7*f**2 - 2*f + 15. Let q be k(b). Is 40 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + 6*u)*(-2*u**2 - u**2 + u**2)*(1 + 1 - 4)*(-u + 2*u - 8*u + (0 - 2 + 0)*(-2*u + 3*u - 5*u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288078.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.2456 and -0.04.\nAnswer: -6.2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000194 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24416296817477 less than -0.1?\nAnswer: 24416296817476.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/764 and -89\/1528?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**4 + 6*q**2 - 3*q**4 - 13 + 15 in the form s + a*q**2 + v*q**4 + o*q**3 + y*q and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1573, 3140, 4697, 6238, 7757?\nAnswer: 9248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1968*t + 4905*t - 2952*t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/7 + 3166888*x - 22168212\/7.\nAnswer: -4*(x - 5542053)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 484 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -12*b + 888. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/3 + 55. Let l(s) = 14*s. What is l(i(h))?\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from ukgkkgt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*b + 2*b - 45 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28835.68 tonnes in nanograms?\nAnswer: 28835680000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 147 = -36*a. Let v = -44 - a. Solve -j + 0*b = 3*b + v, 4*b = -5*j - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 = 4*v + v, -5*v + 25 = -5*f. Suppose -15 = -3*y + 6. Let w = y + f. Solve 4*p + 2 = -w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 153451, 153457, 153463, 153469, 153475?\n\"Answer: 6*i + 153445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -10. Let k = z - -236\/13. Factor 10\/13*n**2 + k*n**4 + 0 + 4\/13*n + 8\/13*n**3.\nAnswer: 2*n*(n + 1)**2*(n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + 2. Let j = -151855\/3 + 50622. What is the closest to p in -4, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.99383 - -39. Round r to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -199*j + 13. Let g(w) = -3*w + 4. Give 9*g(q) - 3*y(q).\nAnswer: 570*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.1, 1967, -5, 0.9, -1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:20 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 24. Let h = t - -10.5. Let o = 3.5038 + h. What is o rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63355?\nAnswer: 5, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4, -5*q + 0*y + 149 = 4*y. Suppose 5*m + 6 = -2*j, 3*m - 2*j = j - 12. What is the remainder when q is divided by 8\/m*(-3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 43*c + 57. Is a(13) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.090698092 to 4 dps.\nAnswer: -0.0907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 13*p**2 - 8*p. Let f be n(7). Let o(i) = -i**2 - 9*i - 10. What is the remainder when 14 is divided by o(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = r - 411480 - 5799522, 3*r = -x + 6211006. What is x rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 - -87. What is the remainder when 14 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -667 - -670. Solve -l + v = 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 2*a - 1. Let k be b(1). Let d = 0 - k. Put -2\/13, d, -3 in descending order.\nAnswer: d, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 + -2) - 6) + -100 + (9 - -57)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 956355*a**3 - 1460097.\nAnswer: 2869065*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 + 250 = 212*a. Let k(w) = w**2 - 5*w - 6. Let m be k(6). Suppose m = -18*z - a*z + 28040. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*i**3 - 320*i**3 + 11055158*i - 11055131*i in the form n*i + u*i**2 + q*i**3 + w and give q.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3500 and 137340?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g**3 - 591079*g**2\/4 + 612213*g\/4 - 63333\/2 = 0. What is g?\nAnswer: -21111, 2\/7, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1 = b, -b - 1 + 6 = 3*n. Suppose -b*x - 14170 = -27*x. List the prime factors of x.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136876, -136870, -136860, -136846, -136828?\nAnswer: -136806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = 3*u, -h + u = -0*u. Suppose -5*y = -y - 3*a - 12, 0 = h*y - 4*a - 6. Suppose y*o = 5*o - 266. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swwswswswwswwwwwt. Give prob of picking 1 w, 2 s, and 1 t.\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1140334 (base 6) to base 15.\nAnswer: -12a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3 - 18*g - 49*g + 5 - 366 wrt g.\nAnswer: -3*g**2 - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -18. Let b be (t\/(-3))\/(14\/(-63)). Is 2 a factor of -2 + 18 - (b - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16 = -0*l. What is the third smallest value in 5, l, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9580 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-18)*(-379)\/((-42448)\/(-21504)).\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*y - 44 = -2*y, -5*y + 51 - 33 = 13*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -53.8. Let n = -7 + 11. What is the smallest value in q, n, 3\/10, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n. Suppose -5*g - 73 = 2*t, 3*g + 5*t + 23 + 17 = 0. Let s be 4 + 70\/g - (-8)\/(-6). What is m(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 3*l - 14. Let f be z(6). Is (-9675)\/(-5) - 0 - f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 - 2*w. Let n be s(3). Let g(a) = 8 + 4*a - n + 0 + a**2. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4245190480.\nAnswer: 2, 5, 43, 1234067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7885 - -7955. Suppose m - 13 = -l + 53, m - 60 = -3*l. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -9. Suppose 4*c = -3*x + 43, 0*x - x = c - 12. Let w(t) = -t**3 + 8*t**2 - 2*t - 9. What is the remainder when w(c) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176 - -488. What is the common denominator of (-529)\/z + (-10)\/(-65) and 38\/((-5)\/(30\/27))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232908 and 624?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 57 = 5*c, -c + 8*k - 4*k = 21. Let u be (-12)\/c*(-135)\/(-18). Solve -2*q = u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -11595\nAnswer: -9\/3865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 8*p - 18. Let s be r(-12). Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 288, 432, 576?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/7, 117.2 in increasing order.\nAnswer: -1\/7, 3, 117.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 9*v + 3. Let k be f(-9). Suppose y - 5 = 0, -2*y = k*z + 3*y - 58. Calculate the highest common factor of 55 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 56 = 4*y, -4*l + 45 - 1 = 3*y. Solve 0 = -l*f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 times 0.225774?\nAnswer: 9.708282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 74859 - 74709 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-66)*(24 + -26)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g = 4*x - 42, -3*x = -2*g - 23. Solve x*a - a = 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -494*z**3 + 78*z**2 - 78*z + 78. Let k(f) = f**3 - f**2 + f - 1. Give 78*k(x) + v(x).\nAnswer: -416*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2870545 is divided by 2134.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 487 + -487. Suppose s = -i - 4*i + 2365. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -0.2. Let d(r) = -10*r + 174. Let t = 1574 + -1557. Let j be d(t). Which is the smallest value? (a) -1 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 35 = -15. Suppose -s = -i - 3*i + 17, -v*i + 13 = -4*s. Solve -7 = i*j + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzfgwuwwggwussu. What is prob of picking 1 z, 1 u, and 1 s?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 0.17\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 149*w + 18317213 - 18313041 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**7\/840 - i**4 + 10*i. Let s(k) be the third derivative of h(k). Let j(w) = -2*w**2. Give j(s(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8020 = -119*z + 123*z. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q)**(-39))**(-2\/33) assuming q is positive.\nAnswer: q**(78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1212483619 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 33. Suppose -9*t + 6*t = -45. Calculate the remainder when p is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - (-890)\/40)\/((-3)\/(-12)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -46*o**2 - 3982*o - 2233. Let w be p(-86). Factor c**2 + c**w + 1\/4*c**4 + 0*c + 0.\nAnswer: c**2*(c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 5*p - 180. Suppose 14*i + 258 + 78 = 0. Let a = i - p. Calculate the least common multiple of a and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15065*p**3*r + 52*p**2*r + 4*p**2 + 4*r wrt p?\nAnswer: -90390*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13916, 27835, 41754, 55673, 69592?\nAnswer: 83511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77614 and 755.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 14*j - 45. Suppose 5*h = -r + 31, -16*r - 20 = -11*r. Let c be m(h). Solve 2 = 2*x + c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25751.458249 rounded to one dp?\nAnswer: -25751.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58835\/17 - 3461. Sort 0.007, l, -1, 0.5, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, 0.007, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.3, -5\/4, 0.5, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -69. Let f = -30.4 - h. Which is the smallest value? (a) -4 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111631 divided by -3601?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.07 + -0.07. Let y be (-1)\/((1 + -4)\/3). Which is the third biggest value? (a) -3 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10172 is divided by 2539.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 123, 170, 217, 264, 311?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/5)\/(-4)*(-2)\/(-16).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10510074.\nAnswer: 2, 3, 64877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.567 to 2 dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkd when three letters picked without replacement from koodddd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144 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: Simplify ((sqrt(133) - 3*(sqrt(133)*2 + sqrt(133) - sqrt(133)))\/(sqrt(70)\/(sqrt(40)\/sqrt(4))))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.141708 hours?\nAnswer: 0.2559045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.041327979 to 3 decimal places.\nAnswer: 6.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5482\/139791)\/(21\/306)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 20, 0 = -0*v + v + 4*r - 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13*i**2 - 995*i - 110439. Let m(y) = -7*y**2 - 500*y - 55219. Let d(x) = -6*f(x) + 11*m(x). Factor d(z).\nAnswer: (z + 235)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 305 + -302. Which is the second smallest value? (a) 23\/5 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -815 and -0.1.\nAnswer: 81.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:36 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 33?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - 28 - (-1 - -7) - (158 - 159).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from bbdgtutl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 413025 (base 7) in base 8?\nAnswer: 212025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bd0 - 353?\nAnswer: 87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 36 = 4*k, 7*k - 3*k - 20 = 2*i. Is (42*1)\/(k - 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 2*l**4 + 0*l**4)*(0 + 0 + 2*l) + (0*l**5 - 3*l**5 + 2*l**5)*(8 - 1 - 1).\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 10 = 5*n, -3*v - 263 + 273 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -0.2, 3, 5267400?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -10056.32?\nAnswer: 10060.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-5 + 3)\/2. Let w(m) = -10*m**3 + m. List the prime factors of w(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/79788 and -59\/39894.\nAnswer: 79788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12 + j**4 + 254*j - 252*j - 11*j**4 wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30 - 30*f**2 - 6*f**2 - 16*f - 41*f - 12*f + 12*f = 0. Calculate f.\nAnswer: -2, 5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144 - -206. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5134, 10264, 15394?\n\"Answer: 5130*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7936, 15940, 24086, 32446, 41092, 50096, 59530?\nAnswer: 69466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**3\/3 + 2*l**2 - 224. Suppose 2*m = 5*m. Let b(z) = z**2 - 2. Let a be b(m). Calculate x(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51*0.2\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -7*v + 56. Suppose -4*x + 3*z = -16, -4*x + 2*x + 5*z + v = 0. Solve -1 + 5 = x*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) -66 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, y: 1, d: 4, o: 1, k: 10}. Give prob of picking 2 d.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9149*b**4 - 2*b**2 - 88575*b.\nAnswer: 219576*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 7466, 19883, 37266, 59615, 86930, 119211?\nAnswer: 156458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z - 12. Let j = 9 + z. Solve 2 = d - j*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 - m + 1. Suppose 3*l - 2*p - 1 = 2*l, -4*p = 3*l - 3. Let c(u) = u**2 - u. What is l*c(w) - x(w)?\nAnswer: -4*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2. Let i(t) = 43*t**2 - 5*t + 5. Let m(h) = 624*h**2 - 72*h + 72. Let y(n) = 72*i(n) - 5*m(n). Calculate y(r(u)).\nAnswer: -96*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 40. Let w be t(0). Suppose -9*i + 247 = -4028. Suppose 397 = -2*v + i. Is w at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:17 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11438 - -11666. Calculate the highest common factor of c and 4731.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5574*i - 2*t - 1393 = 5571*i, -5*t - 40 = 0. Solve 0 = -69*n + 18*n - i for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1606713?\nAnswer: 1606715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-96)\/(-320)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/20*(-55)\/2. Let k(x) = -x**3 - 5*x**2 - x + 2. Let h be k(-2). Let l = t + h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + -3104154?\nAnswer: -3104124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -0.1, 0.3, 51816, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**5 + 1188*t**4 - 106716*t**3 + 797472*t**2 - 1557696*t = 0.\nAnswer: 0, 4, 122, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + w + 1. Let l be z(-1). Suppose -3 = -2*k - l, 2*g - 10 = -4*k. Suppose -g*q = q - 100. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s - 3. Let c(m) be the second derivative of m**3 + m**2 - 4*m. What is 6*c(n) + 5*p(n)?\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 13 + 7. Let c be 1 + -25*(j + -9). What is the common denominator of 6\/c*(-34)\/2 and -68\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3*k**2*l*u + h**3*k*u + h**3*u**2 - 2*h**3*u + k**3*l*u + 4*k**3*u**2 - 2*k**2*l*u**2 - 9*k**2*l wrt u.\nAnswer: 2*h**3 + 8*k**3 - 4*k**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h + 3. Let x(w) = w**2 - 10*w. Calculate u(x(f)).\nAnswer: 6*f**2 - 60*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-228)\/(-36))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3215871, -6431748, -9647625, -12863502, -16079379?\nAnswer: -19295256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/61? (a) -110.6 (b) -2\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162652425 to the power of 1\/3, to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 194811311183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269452204?\nAnswer: 2, 7, 37, 260089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/9)\/u**(2\/13))\/(u**11*u*u*u**(-7\/3)*u*u))**3 assuming u is positive.\nAnswer: u**(-1552\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25366 and -1041849.\nAnswer: -1016483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1951*p - 648*p - 662*p - 662*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 1:09 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73869388 and 3487396?\nAnswer: 812563268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5113 + 5116. Let -6\/5*g**2 - 2\/5*g**v + 0 + 0*g = 0. Calculate g.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 530880 and 1932?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/15 - 26*t**2\/15 - 46*t\/15 - 22\/15.\nAnswer: -2*(t + 1)**2*(t + 11)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 27 + 63. Let y = -1.2 + 7. Let h = -0.8 + y. Which is the second smallest value? (a) h (b) 0.13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -13*h**5\/2 + 4551*h**4 + 150230*h**3 + 945540*h**2 + 1221264*h - 210816 = 0.\nAnswer: -24, -6, -2, 2\/13, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 27 - 17 = -2*j, -5*j - 4*z - 25 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-44646)\/1063)\/(8883\/(-9))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 8992*o + 10107008.\nAnswer: 2*(o + 2248)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -59039, -236477, -532211, -946241?\n\"Answer: -59148*w**2 + 6*w + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/338057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -5 (c) 1 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 89. Suppose 2 = -2*j - 5*t - d*t, 3*j - 6 = -3*t. Suppose 5*i - 17027 = -2*s, -j*s + 17019 = -0*i + 5*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r, -r + 42 = -2*p + 4*p. Let z be p\/(-112)*4 + 7\/4. Let h(k) = -10*k + 1. Determine h(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 714 - 338 - 339 + (-2*m - 2*m + 2*m)*(-4 + 4 - 2*m)*(3 - 1 - 1).\nAnswer: m**2 + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.518 - -0.018. Let r = q - -57.5. Let m = r + -46.99866. What is m rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11239 + 11239. Let d(r) be the third derivative of 0*r + 22*r**2 - 2\/3*r**4 + 0*r**3 + s - 1\/20*r**5. What is the second derivative of d(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, -3 in increasing order.\nAnswer: -12, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2274.3 + 2274. What is the smallest value in -1\/2, -5\/9, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 - 22*u**3 - 9*u**3)*(2 - 2 + 2*u**2).\nAnswer: -70*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 14*v**2 - v - 9. Let a(i) = 4 + i**2 + 18*i - 9*i + 0*i. Let w be a(-3). Let f be m(w). Sort f, 3, -2.\nAnswer: -2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*k = 8*k + 20, 5*k + 13 = -u. What is the nearest to -2\/3 in 1, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -649*y - 1270. Let v be q(-2). Solve 0 = -13*b - v*b - 246 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 greater than -9\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 2. Let o be z(-8). Let a be 5\/o - (-34)\/4. Let g be (-30)\/8 - 2\/a. Let s(t) = t + 3. What is s(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 5*c = -116. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 49*o + 117. Let x(l) = -47*l - 117. Let m(h) = -6*k(h) - 7*x(h). Let b be m(-3). Solve -3*i + b = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.37 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-164)\/(142680\/(-90)))\/(-9)?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p - 3*p**4 + 76 - 80 - 4*p**4 + 4*p**3 + 2*p**2 + 8*p**4 to o*p**3 + c*p**4 + n*p**2 + i + l*p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 8 + 20 + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - m + 1. Let z(o) = o**3 + 9*o**2 + 13*o - 2. Let q(l) = 2*a(l) + z(l). Let t = 18 - 8. What is the units digit of q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-158)\/(-18) - (-6)\/27. Let o(s) = -587*s - 14670. Let b be o(-25). Sort -5, b, y in ascending order.\nAnswer: -5, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 8:49 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*o + 23 = a, 14 = 3*a - o. Let q(d) = -3*d + a*d - 4*d. Let s(v) = -4*v**2. What is q(s(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 20. Calculate the remainder when 132 is divided by k(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -10 - 2. Let o(b) = b**2 + 17*b + 16. Let j be o(-16). Solve j = -2*f + t + 2, -x*f + t = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 12*a**2 - 16*a + 40. What is i(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3 - 669*z**2 - 40704*z - 370788 = 0 for z.\nAnswer: -106, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4910021 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(2 + 1 - 2)*(2*o - 2*o - 2*o) - 21*o + 35*o + 51*o + (o + o - o)*(-1 + 1 + 2).\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 4, n: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -922\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:31 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319476 is divided by 3101.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 6*j - 477. Calculate n(24).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 4*s + 4. Let b be f(4). Suppose -n + 5*n = 0. Suppose n*y = 3*y - 60. What is the greatest common divisor of y and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33056131 - -160?\nAnswer: -33055641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 109472316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 12 + 1100 = -3*k, -884 = -4*l - k. Let a be 101\/5 + 13\/(-65). What is the highest common divisor of a and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u + 84. What is q(17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + 3*k - 126.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 2 - (-117 + 131 - (26 + 2) - -15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 3 + 0*z + 2*z. Let l be (8\/(-36)*-6)\/(11*(-12)\/(-297)). What is d(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + -4 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209\/30 + 1174\/105. Let b = 2383\/114 + 24\/19. Find the common denominator of q and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q - 22. Let v be j(-12). Let h = v + 5. Calculate the remainder when h is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/10 and -17\/299?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -300?\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2316 - 46.8884. Let o = q - -48. What is o rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9538861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 72. Let y(t) = 672*t**3 + t**2 - 2*t + 2. Is y(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-314)\/1099 - (-101355)\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39406 - 39401. Solve -37 = z*h - 4*m, h - 11*m + 14 = -8*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 3828771*f + 3828772.\nAnswer: -(f - 1)*(f + 3828772)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -513.568 + 44\nAnswer: -469.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)\/q*q*q**(5\/3)\/q)\/(q**(-2\/9)*q\/q**(-6)) assuming q is positive.\nAnswer: q**(-257\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 320 = 327 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*w = -219*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*m**4 + 13*k*m**3 - 458*k + 3*m**4 with respect to m.\nAnswer: 4*k*m**3 + 39*k*m**2 + 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*f + 12 = 0, 5*o - 4*f - 187 = -169. Solve -5*y = -2*c + 3, 3*c + 4 = -3*y + o*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 13.4. Let y = c - -1.59999988. What is y rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1172416 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/9, -0.02, 1 in decreasing order.\nAnswer: 5, 1, 2\/9, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000821842 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3898842795 - 1.7\nAnswer: -3898842796.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 142?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 14) in base 3?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -989127445.714\nAnswer: -989127432.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 6*q + 86. What is the lowest common multiple of 22 and q?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 27. Let d(t) = -2*t + 14. Let n(r) = 2*b(r) + 5*d(r). Determine n(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (-5 + -9 + 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-1 + 0)\/4. Suppose -5*j + 11 - w = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39268254 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111137030 and 280472?\nAnswer: 444548120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1900 and ((-1872)\/(-75240))\/(-2*(-8)\/12).\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5001657583 to the nearest integer?\nAnswer: 70722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12111 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/161, 20911, -0.15, 1 in decreasing order.\nAnswer: 20911, 1, -2\/161, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*f = 29, 3*w = w + 2*f + 12. Suppose -5*r + 13 = y, -5*r - 37 = -w*y - 2*r. What is the highest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h - 6*h + 1 + 2*h)*(2 + h - 2).\nAnswer: -14*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/132 + 3 + (-31897)\/(-12).\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*z + 8 + 9, -3*z + 16 = -k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-1 - 6\/3). Suppose 2*y - 39 - 71 = m. Suppose -y = -5*w + 20. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7)*c**(6\/11)*c)\/(c*c**(2\/3))**(-15) assuming c is positive.\nAnswer: c**(226\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -82\/70691 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2 - 3*n + 2. Let z(f) = -9*f**2 + 7. Let v(p) be the first derivative of 5*p**3\/3 - 4*p + 3. Let t(g) = -7*v(g) - 4*z(g). Give t(d(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 8:54 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 26904 - 86514 = 3*k, 4*l + k - 226864 = 0. List the prime factors of l.\nAnswer: 3, 5, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -59*a - 991. What is the lowest common multiple of d(-17) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040528 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 2:19 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2004 + -133?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from {w: 1, l: 7, m: 1, q: 2, f: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 898180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*d + 2*d - d)*(0*d**2 + d**2 + d**2)*(d - 3*d - 2*d) to the form k + a*d**3 + x*d**2 + n*d + v*d**4 and give v.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 9*l - 7. Let b be z(-3). Suppose 0 = 2*u - t + 6, -3*u + 5*t - 13 - 3 = 0. Let r be 1 + 1\/((-1)\/u). Solve -r = -b*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6181427090.\nAnswer: 2, 5, 233, 317, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2438 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, z: 1, v: 1, i: 1, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-76160)\/1400 + (-27)\/(-5)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403220 (base 5) in base 2?\nAnswer: -110111110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h - 2. Let z be v(3). Let k be (-3)\/1 - (-56)\/z. Suppose 8*o - 41 = 4*o - 5*a, 2*a = -o + k. What is the remainder when 26 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*b - 3*u, -3*b + u + 2 - 8 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 588 = 24*g. Let n(w) = -2*w + 11. Calculate the remainder when n(-5) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 20 + (-7 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10)*10*(-18)\/(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467*x + 43833270 = -814792930. What is x rounded to the nearest ten thousand?\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(10\/7))**(-35)*g**(-10)*g\/(((g\/(g*g**(-8)*g))\/g)\/g*g))**(1\/6) assuming g is positive.\nAnswer: g**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40447571?\nAnswer: 101, 400471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/10 and -89\/97852.\nAnswer: 489260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 124 and -119.738.\nAnswer: -14847.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -42*a**2 - a. Let k(x) = 2*x**2 + 25. Let t(r) = 2*r**2 + 20. Let h(l) = 4*k(l) - 5*t(l). Calculate m(h(c)).\nAnswer: -168*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8. Suppose 4*u - 4*j + 8 = z, 3*u + 0 = j + 4. Suppose u*b = 4 + 17. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a microgram in nanograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -907 - -937. What is the greatest common divisor of t and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - 16*i**2 + 21*i**2 - 4*i**2 + 6*i.\nAnswer: -6*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 544 = -502 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/3)\/((-28)\/318346) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -11. Suppose -2*p = k - p - w, 2*k - 5*p - 1 = 0. Suppose -3*r = 2*r - y - 128, 0 = -5*r + k*y + 134. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 17 = -5*o + 6, 2 = -2*c + o. What is the remainder when 63 is divided by 2 - c*(-8)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.10011 and -417.59.\nAnswer: -41.8049349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6)**13*(l**9)**(-13) assuming l is positive.\nAnswer: l**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-8)\/(-5)*(-4 - 1))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 25 = -185. Let m be (t\/72)\/((-2)\/(-2)). Let j = 0 + -1. Which is the biggest value? (a) j (b) 2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 188430 + -108821. What are the prime factors of w?\nAnswer: 79609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734 = 26*a - 110 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 73a928?\nAnswer: 73a92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2, 4405 in ascending order.\nAnswer: 2, 15, 4405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 852 - 541. Suppose 0 = 316*b - t*b - 1485. Is 33 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k. Let u(j) = 36*j - 3. What is u(t(l))?\nAnswer: -108*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 1 - 1 - 2*n - 2 + 2 + 0 + 0 + 4*n - 5*n + 3*n + n + (-1 + 4 - 4)*(3*n + 0*n - 4*n) + 1 - 2*n - 1 + 2*n + 2 + 3 - 4.\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnippippbbbbfb. What is prob of picking 1 b, 1 f, and 1 i?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 32447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*a - 5 = -49*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3565418, 3565434, 3565450, 3565466, 3565482?\nAnswer: 3565498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (432\/(-60))\/((-280)\/(-500)). Suppose -48 = 8*i - 4*i. Is f < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 4:51 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 3 (c) -2\/9 (d) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/20 - 1\/2. Suppose -3*p + 5*p - 6 = h. Solve 4*b = -7 + p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*h + 13*h - 6*h + 1)*(-5 + 0 + 4)*(-3*h + h + 0*h)*(-4*h + 5*h + 4*h)*(0 - 3*h + 0) in the form k*h**2 + s + i*h**3 + g*h + t*h**4 and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/9461790 and -103\/3153930.\nAnswer: 9461790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 9790.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1136\nAnswer: -3\/1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**3 + 269*z**2 + 46*z - 33. Determine w(45).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 497 - 3886 + 372*t**2 - 5*t**3 - 861 wrt t?\nAnswer: -15*t**2 + 744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/((-633)\/(-123435))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1265 (base 7) to base 5.\nAnswer: -3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15451 (base 6) to base 4.\nAnswer: 213313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 740970731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(60))\/sqrt(6) - sqrt(10) - sqrt(10))\/sqrt(2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + t - 227, -2*u - 3*t = -0*t - 229. Let s = 116 - u. Solve -4*c - 4 = -2*x - 24, 5*c + s*x = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00966 to 4 dps.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 446720?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p**5*p)\/p)*p\/(p**6\/p))\/((p*p**(-4))\/p**(-2))*p**(-1\/3)*p*p**(-1\/5)*p*p**3*p\/p**(-3) assuming p is positive.\nAnswer: p**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58384, -58383, -58382, -58381, -58380, -58379?\nAnswer: -58378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -1075*r**4\/24 - 249*r**3\/2 + 1051*r**2. Differentiate z(o) wrt o.\nAnswer: -1075","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 48 + 60 = 0. Let y(w) = -w**2 + 8*w - 6. Let c be y(6). What is the highest common divisor of z and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -430 + 431. Solve t - 3*t - 5*q = -16, q + a = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoglsgglgs. What is prob of picking 2 g and 1 l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 8:07 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = 5. Let w be (-3 + (-17)\/l)*(-36)\/(-16). Suppose -w*m - 62 = -620. What are the prime factors of m?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-364)\/1456*2\/66*(-6)\/4?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(4\/(-6)) + 1. Let a = 14 - 10. Let b = y + a. Solve 21 = -3*z - 2*r, -2*z - 32 = b*z + 4*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915060583 to the power of 1\/3, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/52, 0.4, 4, -17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3038 + -3064 - (3 - 3 - (1 - 0))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 x when four letters picked without replacement from {w: 2, f: 3, e: 5, n: 1, x: 7, t: 2}.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m - 84162 = m. What is the remainder when m is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -87, 4, -56, -4 in increasing order.\nAnswer: -87, -56, -9, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/73)\/(a\/((a\/(a\/(a*a**(-3\/7)*a*a)*a))\/a)))**19 assuming a is positive.\nAnswer: a**(-3895\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 22. What is the tens digit of 4 + p*13\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1414580 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 482026 or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 5*w + 2*w)*(-1 - 2 + 4) + 50*w - 16*w - 2*w + 36*w + 7*w.\nAnswer: 73*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 505, 772, 1071, 1402?\nAnswer: 1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26851 + 38328. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - z**2 - 2. Let i(m) = 1353*m**4 - 8*m**3 + 2384*m**2 - 16. Let n(u) = i(u) - 8*v(u). What is the third derivative of n(d) wrt d?\nAnswer: 32472*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 121 - 39 = -2*s, -4*t = 7*s + 220 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0128986 rounded to four dps?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:36 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3541288290 to the power of 1\/3, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - 3*sqrt(192) - (sqrt(192) + (sqrt(192) + -3)**2) - (-2 + 3*2*sqrt(48) + sqrt(48))) + 0.\nAnswer: -199 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13020847.\nAnswer: 7, 67, 27763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4392, 8780, 13158, 17520, 21860, 26172?\nAnswer: 30450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8735.43l in millilitres?\nAnswer: 8735430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 - 110. Let n be (-6)\/(-9) - ((-272)\/(-12) - m). Sort 2, 1, n, -2 in descending order.\nAnswer: 2, 1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*sqrt(70) + sqrt(70))*4)\/(-1*sqrt(120)\/sqrt(432))*4.\nAnswer: -768*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*k**2 + 345*k**2 - 1358*k**2 - 1558*k**2.\nAnswer: -2890*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4181023 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1906 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78390 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -463*p**3 - 92120*p**2 + 155268223*p?\nAnswer: -2778*p - 184240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -x + 6, c - 20 = -4*x. Let n be ((-2)\/(-6))\/(1\/9). Solve 5*i**n - 3*i**4 + 2*i**2 + c*i**2 - 2*i**5 - 3*i**3 + i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**2\/r)\/r*r)**(16\/3)\/(r**6*r)**6)**42 assuming r is positive.\nAnswer: r**(-1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 + 5 = 0. Factor -2\/3*r**2 + 0 + 0*r + 1\/3*r**3 + 1\/3*r**z.\nAnswer: r**2*(r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 917, -1, -3 in decreasing order.\nAnswer: 917, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2. Let j(w) = -806076*w**2. What is j(s(z))?\nAnswer: -3224304*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfeffbfb. Give prob of picking 1 f and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 41 = 4*l + 5*a, -4*a - 34 = 3*l. Let u be (-16)\/2*l\/4. Let k be 2\/(-4)*0\/(-1). Solve k = -5*r + r - u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 12 = -5*v, 3*r = -v + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 0, 24\/73?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3551 - 6466 + 6649 + 11891 = -3125*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4 - 29*a**3 + 16*a**2 + 261*a - 468 = 0 for a.\nAnswer: -3, 3, 13\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/sqrt(2))\/sqrt(2)*1)**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3626878?\nAnswer: 2, 43, 181, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44411 (base 6) in base 9?\nAnswer: 8447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1254 and 2135448.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001111011100011110 - -1011000?\nAnswer: 1011001111011101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*p**2 - 1)*(5*p + 3*p - 4*p)*(-p + p**2 + p).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**3 - 11*y**2 + 11*y + 9. Let z(j) = 6*j + 1 + j**3 + 4 - 6*j**2 + 2*j**3. Let m(n) = 6*k(n) - 11*z(n). Differentiate m(a) wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + j = -10*m + 18, 3*m - 4*j = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/44645 or 0?\nAnswer: 3\/44645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 + 96. Let i be (-52)\/78 - (-1 + 1\/x). What is the nearest to i in 5, -3.5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1573516413?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -4*a - 4*d - 2*d, -4*a = 5*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -1\/7*w**4 + 17 + 6\/7*w**3 - 2*w - 16\/7*w**2 + 1\/140*w**5. Determine d, given that z(d) = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + 5 + 2 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b = 0. Solve -5*w**2 + 4*w + b + 3*w**2 - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.98228 times 28\nAnswer: 643.50384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -7, 5, -2, 12 in ascending order.\nAnswer: -7, -2, 5, 12, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 11*k - 10. Determine t(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-364)\/42)\/(-13)*(-3)\/(-27).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1136.1039 - 1136. Let a = z - 0.099. Round a to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -6) + (-127 - (-48 + -21)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 12 + -9 + -6 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1335890854?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 28674.457 to the nearest 10.\nAnswer: 28670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.334 + 0.134. Let s = -2.92 + -0.08. Let p be 2\/2 + (-8)\/6. What is the third smallest value in g, s, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40222*f**3*k**3 + 38367*f*k**3 wrt f?\nAnswer: -241332*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.685 - 746353202.15\nAnswer: -746353201.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/4*(-14 - 12). Which is bigger: j or -66?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 2.21763457?\nAnswer: 1.78236543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.4 to 0 decimal places.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 115 = 67. Find the second derivative of 0*x - b*x**3 - 4*x**3 - 12*x - 23*x**4 + 12*x**3 wrt x.\nAnswer: -276*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -9*b**4 + 114*b**3 - 396*b**2 + 216*b = 0.\nAnswer: 0, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -1\/14, -71.5 in decreasing order.\nAnswer: -1\/14, -1\/10, -71.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6987969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*d - 11 = 360*d + 3*j, -3*j - 3 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 0. Suppose -18*q + 21*q - n = 0. Let i be -1 - 7\/((-28)\/8). Are i and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -10*p - 15. Let a be k(-9). Let u = a - 135\/2. Suppose 11\/2*f**3 - 9\/2*f**5 + u*f**4 + f + 0 - 11\/2*f**2 = 0. What is f?\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -11 (c) -1\/8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z**2 + z + 4. Let n be i(-3). Let b = 3 + n. Let j = b - -134. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8407267847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959*w**2 + 500*w**2 - 378*w**2.\nAnswer: 1081*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 30. Suppose -j + 222 = -a*j. Suppose -3*g - s = -170, -5*s + 6*s + j = 4*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (29 - (31 - -25)) + 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7*u + 14 - 4)*((-1 + 3 - 1)*(3*u**2 - 2*u**2 + 0*u**2) + (-3 + 3 - 3*u)*(-2*u + 5*u - 2*u)).\nAnswer: -14*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(3\/2)\/f))\/f*f**(-2))\/(f**7*f*f\/(f*f\/(f\/(f\/((f\/f**(-2\/19))\/f*f)))*f)))\/((f**(6\/5)\/f*f)\/f**(-3\/2))**(-3\/25) assuming f is positive.\nAnswer: f**(-22043\/2375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1196 + 1190. Let g(x) = x**3 + 7*x**2 + 11*x + 1. Give g(w).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2865 by -573.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ebd4c (base 15) in base 4?\nAnswer: 11300032113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:31 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/9, -2, 2\/7, 1\/2, -0.54, -1\/107?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32, -4, 114, 358, 764?\n\"Answer: 6*f**3 + 9*f**2 - 41*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25740912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.615163246 to 3 decimal places.\nAnswer: -3.615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20736850.\nAnswer: 2, 5, 414737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10528.727 rounded to the nearest integer?\nAnswer: 10529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.1330011 rounded to three decimal places?\nAnswer: 195.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12363 - -12377. Solve -s*y - 22 - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*x - 5. Let v be (-12)\/66 + 4\/22. Suppose 16*p - 6*p - 50 = v. Solve -2*a + p*h = -0 - 7, 0 = -3*a + x*h + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 1)\/(-15) - (-6)\/((-2484)\/66)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 16*v - 7813 = -13*v, 2*c + 3*v = 15635. Is c - ((0\/(-4) - 1) + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*r - 3*y - 48 = -150*r, -4*y = 4*r + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*(r\/(r**(5\/4)*r*r*r))\/r*r)*r)\/r)\/(r*r\/(r\/(r\/(r*r**12*r))))*r**(-1\/5)*r**(2\/7))**(-1\/49) assuming r is positive.\nAnswer: r**(-2287\/6860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54*t + 77*t + 59*t)*(34 - 34 + 3*t)*(-3 - 4 + 3) to the form a*t**2 + j*t + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.1. Let w = -1.5 + 0.6. Let a = w + 0.4. What is the biggest value in 1, a, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 39 = -35. Let y = 1865 - 1533. What is the remainder when y is divided by d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgkv when four letters picked without replacement from gtttvtttsgkttstgkgs.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 13*c**2 + c + 17. Calculate the remainder when o(-13) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1005800 divided by -251450.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**3\/6 + 15*l**2\/2 + 62*l. Suppose 0 = -r + 1 + 3. Suppose 0 = 2*z - r*z. Determine b(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + c + 9, 3*g + 2*c + 2*c + 32 = 0. Let q(j) = j**2 + 3*j + 2. Suppose 0 = 2*x - x - 3. What is the lowest common multiple of x and q(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 6*q - 5. Let i be p(7). Suppose 5*j + i*o = 5*o + 1061, -3*j + o + 639 = 0. Let f = 303 - j. List the prime factors of f.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/7 - 25238*s\/7 + 1033077\/7 = 0.\nAnswer: 41, 25197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 4*j**2 - 2*j + 3. Let q be x(4). Let m(u) be the second derivative of u**4\/12 - u**3\/3 - u**2 + 6*u. What are the prime factors of m(q)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -274, -528, -1036, -1882, -3150?\nAnswer: -4924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-21) - (-8)\/(-14). Let m be ((-6)\/4*-461)\/(1260\/660). Let x = m - 362. Is s at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlvlvwv. What is prob of sequence llvw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -686032806 - 15.\nAnswer: -686032821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m - 130 = z, 3*m = -4*z - 487. Suppose -79 - 190 - 2283 = -116*j. What is the remainder when 1\/(z\/(-41) + -3) is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/144 and -97\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28, 69, 112, 157, 204, 253?\n\"Answer: t**2 + 38*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45527 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from eovevevvveovvo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 3)*(9*y**2 + 4*y**2 + 0*y**2) + 2*y**2 + 0*y**2 + 2*y**2.\nAnswer: 43*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -16*w + 7*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*n - 18 = 0, -5*i + n + 4 + 49 = 0. What is the lowest common multiple of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303701363 divided by -7?\nAnswer: -43385909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -27. Find the third derivative of -3*x + 3*x - 69*x**3 + 58*x**3 + o*x**2 wrt x.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 3. Suppose 4*z - 11 = r, -r + 7 = 6*z - z. Suppose 5*l - 26 = 2*l - 4*c, z = l - 2*c. Is b greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3523\/(-9))\/(4\/(8\/(-243))). Let u = i + 1\/2187. Calculate the common denominator of -53\/30 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15910*o - 117396*o + 2 - 2.\nAnswer: -133306*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 - 7 = 0. Let h be g*(-6 - -1)\/1. Suppose 3*i - h = -2*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100702727?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11485.23 litres to millilitres.\nAnswer: 11485230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a1 - -3?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 42 + 1174 = -3*b, -4*p + 3*b = -4537. Suppose p = g - r, 2*g - 272 = -4*r + 2010. What are the prime factors of g?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326980357 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + -2*sqrt(204)))\/sqrt(6) + sqrt(34))\/((sqrt(2) - (sqrt(2) - 3*sqrt(2)) - sqrt(2))*-6 - sqrt(2)).\nAnswer: -3*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71131519889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45588 and 56436?\nAnswer: 214400364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*n - 40, 5*b - 51 = -n - 7. Let c = b - 6. Let l = c - -18. What is the remainder when 81 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Suppose 0 = d - 3*k - 29, d = -b*d + 3*k + 85. What is the greatest common factor of 28 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 9*s + 408. Suppose -15*b - 22 = -19*b - d, -5*b - d + s = 0. Solve 0 = -42*i + 44*i + b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.4 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*1*-6)\/(sqrt(32)\/sqrt(4)*3).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14189516 divided by -394\nAnswer: -36014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + k + 1. Let n(l) = 2*l**3 + 5*l**2 - 5*l + 2. Give n(t) + 5*w(t).\nAnswer: 2*t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*sqrt(825) - sqrt(825)) + sqrt(825))\/(5*sqrt(75))*2.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -64 (b) 1\/4 (c) -3 (d) -2\/171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 18 = 3*x, -x + 3*p + 4 = -2*x. Suppose -x*f + 62 = -23. Solve -4*d = 2*g + 14, 4*d + 5*g = 2*g - f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 34*x**3 + x - 8*x**2 - 24*x**3 + 3 - 7 + 2*x. Let y be h(4). Suppose -19*f + 24*f = y. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 7 = -o + 4*m + 9, -5*m + 196 = 8*o - m for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170 + 570. Let p = 189 + t. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13)*-1 + -1 + (sqrt(13)*3 + 0)**2) + ((0 + sqrt(13))*-1 - (sqrt(325)*-2)**2) + sqrt(143)\/((-1*sqrt(77))\/sqrt(7)).\nAnswer: -1532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a54 + -128b?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (10 - 1)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(h - 5*h + h)*(30*h - 1 - 15*h - 10*h).\nAnswer: -45*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1425*f - 76. Let p(x) = -57*x + 3. Let b(q) = 76*p(q) + 3*s(q). Let v(h) = 22*h - 12*h - 8*h. Give v(b(w)).\nAnswer: -114*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 10*n - 12. Let f be x(-8). Let p = -2 - f. Let o(a) = 4*a**3 + 6*a**2 + a + 7. Let h(b) = b**3 + b + 2. Let s(m) = -3*h(m) + o(m). Give s(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcwchwhcwhccwwhhhh. What is prob of picking 2 h?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - (sqrt(192) + -3 + sqrt(192) + -2)) - (-4 + -1 + sqrt(192)) - ((sqrt(192) - (1 + sqrt(192) + 1)) + 5))**2.\nAnswer: -112*sqrt(3) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*z - 37 = 0, 2*z - 14 = -4*a + 4*z. Suppose -3*f - 5*l + 2 = 7, 0 = 4*f + a*l. Let w = -2 + 6. Solve -w = f*x + 2*t, t + t - 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*3\/(-18)*-39. Let q(t) = t**2 - 39*t + 27. What is the tens digit of q(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)\/k*k)**40\/(k**(-4)*k\/k**(-1\/3)) assuming k is positive.\nAnswer: k**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144811446 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((2 - -21) + -2 + 174 + -180)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169315 is divided by 1458?\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224851241.\nAnswer: 3, 17, 4253, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*u - 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(13) + 3) + 5)**2.\nAnswer: 156*sqrt(13) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 - 3*h**2 - 573362*h + 139 + 573371*h.\nAnswer: -3*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4037, 3276.\nAnswer: -4037, -4, 3276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 31*j - 667. Solve 15*p = -j + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 403, 658?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 9*a**2 + 2*a - 14. Let c(q) = -q**3 - 10*q**2 - 28*q - 6. Let i be c(-5). Let p be z(i). What is the greatest common divisor of 10 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 e when four letters picked without replacement from enteenenjkne.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/1*96165\/51288.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -8*w - 21, -10 = 4*w - 149*b + 151*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:14 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9989\/10 + -1000. Let t be 16715\/(-8)*(-4)\/(-4). Let d = 2093 + t. Find the common denominator of g and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296868 and 137709.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9257071, -18514135, -27771197, -37028257?\n\"Answer: x**2 - 9257067*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 955 - 953. Sort 5, -12, a, -2 in descending order.\nAnswer: 5, a, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1362, 1359, 1356?\nAnswer: 1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.04082 - -0.04082. What is the second smallest value in 32\/3, 2, d, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9712927 + -6661040. Let l = 3051893.0000036 - y. Let m = l - 6. What is m rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21848 and 10924?\nAnswer: 21848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 6069, -6, -12, 13 in descending order.\nAnswer: 6069, 13, 0, -1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/7 + 40156*h**3\/7 + 40166*h**2 + 562364*h\/7 + 321360\/7 = 0 for h.\nAnswer: -4, -2, -1, 20085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + q**2 - 4*q + 1. Let y be l(-3). Sort -2, 1, 0.11, y in ascending order.\nAnswer: y, -2, 0.11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/102*8\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2601921 to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -o - 3, -2*s + 9 = -4*s - 3*o. Let g = -3.5 + 6.1. Let q = g + -2.4. Which is the nearest to 0? (a) -1\/3 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 48*r - 323. Let x be s(-6). Put -23, x, -2, -4 in ascending order.\nAnswer: -23, -4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47400 divided by -15.\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 496392 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*u - 2*k, 14*k - 13 = 2*u + 17*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182771034 divided by 762.\nAnswer: -239857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2. Let z(m) be the second derivative of -m**3\/6 - 20*m. Give j(z(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184306 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 25815?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 229209744 divided by 4\nAnswer: 57302436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 3*k**4\/2 - 5*k**3\/3 - 5*k**2\/2 - 2502. Let a(r) = 7*r**3 - 5*r**2 - 6*r. Calculate -5*a(q) + 6*h(q).\nAnswer: q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1486\/5 + -299. Which is smaller: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 + 79 = -4*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 149.\nAnswer: 3\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -43921a (base 11) in base 4?\nAnswer: -2222333101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.38154 - 1439519.\nAnswer: -1439524.38154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1 - d**3 - 2 + 8*d - 10*d + 5 + 4*d**2. Give j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5525)\/(-255)*39\/(-169).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 6886*h\/7 - 211140.\nAnswer: -2*(h - 3213)*(h - 230)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 20*w**3 - 4*w**2 + 3*w - 1. Let y be l(2). Let s = -81 + y. Calculate the greatest common divisor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**3 + 12*i**3 + 22136 - 65*i**3 + 20*i**3 + 19*i**3 - 22136.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-207)\/(-21) + (-1)\/(-7). Let s = -23 + 27. Let r = 0 + s. Solve -r*k = -10 - n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 5. Suppose 3*o + 3*o = 0. Solve 0 = -u*k - 5 - o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64624824.\nAnswer: 2, 3, 11, 59, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5997408 plus 5.7?\nAnswer: 15.2997408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 + 21*g**2 + 5*g - 7. Let w be j(-6). Suppose 15*b + 11 = w. Solve 3*d + 5*f - 32 = -10, -b*d - f = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148629847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**6 + t**2\/2 + 6. Find the second derivative of g(p) wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34846*o + 33878*o + 6776 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2934506 = -a. Suppose -4996*y = -4972*y - 7614072. Let x = a - y. What is x rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -11, 2\/9, -2\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -23. What is the least common multiple of n and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*x + 4, -2*x - 2*x - 31*j + 35*j = 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9742 * 5.\nAnswer: 48710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*g = 2*g - 30, 3*g = 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.6 - -2.6. Let t = -3 + 6. Is t not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 637.6777mm?\nAnswer: 0.0006376777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 26. Let x(y) = -2*y - 78. Let f(c) = 17*v(c) + 6*x(c). Let a be f(6). Solve 2*r = r - a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -4, 0.328?\nAnswer: 0.328","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-25 - (2 + -13)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19.014 (b) -0.03 (c) 2 (d) 120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d - 106. Let l be o(8). Suppose 5*r + 295 = 4*t, -3*t = -3*r - 30 - 144. Let x be 212\/18 - l\/r. Solve -3*j + x = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -5\/6*w**3 + 22*w + 0 + 0*w**2. Let b(a) be the third derivative of a**5\/15 - 2*a**2. Give b(d(x)).\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.3 (b) 3 (c) -1\/2 (d) 1035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/18 and 29\/575060.\nAnswer: 5175540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -92a2 (base 16) in base 4?\nAnswer: -21022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**3 + 10*v**3 - 3*v**3 - 22*v**3 - 14613*v**2.\nAnswer: -28*v**3 - 14613*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3*s**2 - 8*s + 10*s**2 - 2 - 3*s**2 - 5*s**2. What is the units digit of o(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220313 (base 4) to base 12.\nAnswer: -3a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060 is divided by 12*((-96)\/36 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 46, 3\/4, -228, -4\/29?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**0)*q**(2\/5)*q*q**5*q*(q**(-1\/9)*q)\/q*(q\/q**(-1\/9)*q*q**7)\/(q\/q**(-9)*q*q**(2\/9)) assuming q is positive.\nAnswer: q**(233\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 1)*-1*-4*-1)**2.\nAnswer: 64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0978844 * -0.6\nAnswer: 0.05873064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3113142 + 1033131?\nAnswer: 4201323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 133. Let o be -9*(a\/(-9) + -3). Let c = o + 20. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44783 and -68.\nAnswer: -3045244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -297 + 473. Suppose f + 4*h = -f + 16, -3*f = -3*h - 60. What is the highest common divisor of v and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 11 - 29 = 0. Suppose 5*l = p + 4. Suppose 7*j - 315 = -l*j. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -90\/1951?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -8 - (1 - 35). Is ((554\/2)\/(-1))\/((-10)\/p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2459, -2456, -2453, -2450?\n\"Answer: 3*f - 2462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/1244, 1\/4, 4\/3, -12, -1, 19 in decreasing order.\nAnswer: 19, 4\/3, 1\/4, 5\/1244, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faoo when four letters picked without replacement from {a: 2, s: 8, o: 2, f: 3}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 3. Let y be x(-7). Let a(z) = 4*z**2 + 5*z - 2. Let k be a(1). Solve -k*r = -9*r - y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184656 and 13424.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-36)*-8*2*(-35)\/28.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -17231b?\nAnswer: -17231a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 2:30 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 0.014932234441317.\nAnswer: 1.014932234441317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 4*d + 8260184*d**2 - 8260196*d**2 - 3*d as o*d**2 + g*d + v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 15 = 0, 26*h = 31*h - 5*u - 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1557?\nAnswer: 17127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-406)\/6 + 2\/3. Let p = 1 + 2. Is 3*p\/((-9)\/h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -253\/75439?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72848 rounded to the nearest 1000?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/8*132\/11*2\/6\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 - 11*b**2\/2 - 189*b - 882.\nAnswer: (b - 42)*(b + 6)*(b + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyytyttyytyyy. What is prob of sequence ty?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1842\/54 - 32) + (-1)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 8, f: 8}. Give prob of picking 1 y, 1 f, and 2 l.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(4\/(16\/(-10))))\/((-74)\/10)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/4 (b) 2\/11 (c) 0.07 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 472345*h*t + h - t - 2853213 with respect to t.\nAnswer: 472345*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, f: 1, x: 1, w: 1, p: 2}. What is prob of sequence xwjf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160899766?\nAnswer: 2, 23, 937, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 4*l. Suppose -44 + 116 = 6*q. What is the highest common factor of q and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u + 14. Let h be m(10). What is the highest common divisor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 853674.066s?\nAnswer: 1.411498125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466144 is divided by 2091.\nAnswer: 1942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -37078, 0.\nAnswer: -37078, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, and 1 l when three letters picked without replacement from uullvlluluzllluuluv?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28152401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -1, 1 in decreasing order.\nAnswer: 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 318*c**2. Let g(y) = -2*y**2 + 14. Determine t(g(s)).\nAnswer: 1272*s**4 - 17808*s**2 + 62328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 623721353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 3*t**2 + t + 3. Let n be g(-3). Suppose 5*c - c + 32 = n. Let m(s) = -s**2 - 10*s + 7. Is m(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4573539895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3*x**3 - 4 + (-7*x**2 - 2*x**2 - 3*x**2)*(-3*x + 0*x + x) - 2*x**3 + 6*x**3 - 3*x**3 + (3*x**2 - 2*x**2 - 3*x**2)*(2*x + 4*x - 5*x).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*x - 122, 4*x - 73 - 83 = -4*z. Let b be x\/220 + (-42)\/(-11). Find the third derivative of b*k**2 + 27*k**2 + 18*k**2 - 16*k**3 wrt k.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + (1 - -5) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20643 and 41931831?\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 3:19 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -170, -7471, -21904, -43469, -72166, -107995, -150956?\n\"Answer: -3566*g**2 + 3397*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 18378021.\nAnswer: 18378023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 5*i + 8. Let x be l(-7). Let r(t) = -8*t**3 + 6*t**2 - 2*t. Let w(j) = 7*j**3 - 5*j**2 + 2*j. Give x*w(m) - 5*r(m).\nAnswer: -2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2) + (-2)\/(-2). Suppose 0 = a - 4*i - 10, 5 = h*i - 5. Suppose a = 6*z - z. Solve 0 = -2*m + z, -2*n - 13 = -0*n - m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 336*k - 2. List the prime factors of w(2).\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v - 1523 = 463 - 278 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 1, r: 4, p: 1, s: 1}. Give prob of sequence rs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6bc - -734c?\nAnswer: 6c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {a: 1, w: 5, k: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*m**3 - 141*m**3 + 68*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.893 and -1.\nAnswer: -5.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38128, -38051, -37844, -37441, -36776?\n\"Answer: 11*z**3 - z**2 + 3*z - 38141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*p - 15*p - 18*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 10*h**2 - 133*h + 295. What are the prime factors of x(23)?\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*q = -51*q + 23*q - 444 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 4)*(-1 + 4*a**3 + 1)*(2*a + 0*a + 0*a).\nAnswer: -40*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -432449 != -432530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-60)\/(-1))\/(-5))\/(-2). Let s = -10 - -19. Calculate the highest common divisor of s and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.31, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/((-28)\/1914) - 7?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 464 + -476 - (1 - 31).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 - 127 = 7*j - 4*z, 2*z + 64 = 4*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112112 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-2\/3)))**(-27))**(-3\/23) assuming a is positive.\nAnswer: a**(-54\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -691.5 and -0.22288?\nAnswer: 691.27712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120 + 2*l - 97 + 173 to the form t*l + i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x**3 + 2*x + 2. Let n be w(-2). Let y = 122 - n. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*x**5 - 45*x**4 + 194*x**3 - 76*x**2 + 8*x = 0.\nAnswer: -2, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 - -59. Let r be (-2)\/(-6) + f\/12. Put 3, -1, r in descending order.\nAnswer: 3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/(-8*7\/(-1232)). Suppose -x = -2*m - 7. Suppose -m*t + 114 + 134 = 0. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2. Suppose 5*v + 7*v = -12. Let h(f) = -f**3 + f. Let p be 1\/(-2)*(-2 - 0). Let z be ((-1)\/(1 + -2))\/p. Give v*h(q) + z*d(q).\nAnswer: q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*k - 100*k + 24*k.\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/6))**(-21)*f**31\/(f*f\/f**1) assuming f is positive.\nAnswer: f**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 361*j = 121*j - 2380. Solve 0 = -7*u + 2*u + 3*a - 7, -a - j = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.05 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-54) + 202\/18. Let a be ((-13)\/(-52))\/(3\/2508). Let r = -121 + a. Calculate the highest common factor of t and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zztt when four letters picked without replacement from {z: 6, t: 13}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**4\/12 + 3*m**3\/2 + 6*m**2 - 3*m. Let u be d(-8). Solve u*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167 (base 15) to base 16.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide ((-1855)\/(-140))\/(-1 + 10935\/10932)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:26 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k + 5*a + 17 = -20*k, 2*k = -6*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(3*2*sqrt(2592) - sqrt(2592)))**2*5 + 1.\nAnswer: -5831999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -658, -1355, -2096, -2893, -3758, -4703?\n\"Answer: -2*p**3 - 10*p**2 - 653*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 13. Let t = -21338.99955 - -21345. Let i = s - t. What is i rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15091097 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 4*k + 126 = 0. Solve -i = -3*i - 3*b + k, -2*i + 1 = -b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 872, 875, 878, 881?\n\"Answer: 3*q + 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o - 26. Suppose -3 = -r + 5*d, -4*r + 3*d - 2*d = -88. Let x = r - 35. What are the prime factors of i(x)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 11) to base 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 3*u - 4*u)*(0*u + u**2 + 0*u) - 3*u + u**3 + 4*u + 3*u + 2.\nAnswer: -u**3 + 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*g**5 + (0 - 2 + 4)*(-3*g**5 + 2*g**5 - g**5) + g**5 - 2*g**5 - 9*g**5 - 7*g**5 + 47*g**5 - 21*g**5.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -49.959. Let v = i - -0.041. Which is the fourth biggest value? (a) -0.2 (b) 4 (c) v (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1504275 - 946124. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(6) + 4 + sqrt(78)\/(sqrt(6)*1 + sqrt(6)))**2 + (sqrt(468) + 3 - ((sqrt(13) - -4*sqrt(52)) + sqrt(13)))**2.\nAnswer: -12*sqrt(13) + 1049\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 3*v = 2*l - 3, 0 = -3*l + 5*v + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b. Let z(o) = -5*o. Let f(w) = 5*y(w) - 4*z(w). Let g(m) = -19*m. What is f(g(i))?\nAnswer: -95*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1587\/(-18))\/23)\/(181\/(-1086)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*q**2 + 2*q**2 - 2*q**2 - 27*q**2.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 881 = -125. What is the smallest common multiple of u and 460?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-8) + (-10)\/(-5) + -4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 246 + -251 + 10 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -19. Suppose -c = 3*h + 4*y, 7 = 3*y - 2. Let k = h - -23. Calculate the highest common divisor of 68 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + q = 4*q + 3, -2*f = -5*q - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970228.\nAnswer: 2, 7, 34651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120942 + 120962. Factor -23\/2*f - k*f**2 - 3\/2 + 8*f**3.\nAnswer: (f - 3)*(4*f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 - 2*f**2)*(1 + 5*f - 9*f - 22*f).\nAnswer: 52*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*r**4 + 52*r**4 + 22 - 22 - 70*r**4 + (4*r**3 - 2*r**3 + 0*r**3)*(-5*r - 1 + 1) as v*r**3 + d*r**2 + q*r**4 + a + h*r and give q.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 41*n**2 - 406*n + 48. Let i be r(-24). Solve i = -430*l + 444*l + 84 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 63.29339ug?\nAnswer: 63293.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -42 - 16\/5*l + 16\/5*l**2 - 4\/5*l**3. Factor k(b).\nAnswer: -4*(b - 2)*(3*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 25 = 0, 20*j + 105 + 0 = 306*k - 305*k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 14*f**2 - 92*f - 508. Determine w(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-2\/11))\/((c\/c**12)\/c))\/((c*c**(-4))\/(c**(1\/5)\/c)) assuming c is positive.\nAnswer: c**(881\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.37 - 11.57. Let j be (-2)\/(-20)*30\/8. Suppose n + 0 - 1 = 0. What is the second biggest value in j, n, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 19. Let x(w) = 2*w + 37. Let i(k) = -5*f(k) - 2*x(k). Let y be i(-16). What is the smallest value in -2\/5, y, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(50)\/sqrt(2))\/sqrt(5).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from iispsorsipioswi?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - 10) + (22 - (6 + 11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let x(t) = 23*t + 1. Let s(m) = -6*k(m) + x(m). Is s(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 1976*i + 2055*i - 4031*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7753 + 2?\nAnswer: -7751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -467*-0.376672\nAnswer: 175.905824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 44*g - 130. Let k be c(40). What is the highest common factor of 80 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2688*q**3 - q**2 + 37*q + 36. Let r be u(-1). What is the greatest common factor of r and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/(2\/10*5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 9355772 = 3*m, 5*f - 2107586 = -4*m - 14581951. What is m rounded to the nearest ten thousand?\nAnswer: -3120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -169, -167, -165, -163?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -237 (base 10) to base 12.\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 54319110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 7*g - 17. Let r be v(22). Let j = r - -434. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11012 (base 3) to base 13.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2183\/44, -186 in decreasing order.\nAnswer: 2, -2183\/44, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-3*(-5)\/(-120)*138\/(-92).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-46)\/(-1127))\/(-8*8\/(-21056)))\/(4\/14).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:41 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = -3*s - 0*s + 4*n, 0 = -s - 4*n - 138. Let d = s - -118. Solve -5*p + 7*p = d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1179112 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**3\/4 + 597*v**2\/2 + 29997*v + 58806 = 0.\nAnswer: -198, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/12*(2387\/44 - (-8)\/2). Calculate the highest common divisor of 699 and w.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587923?\nAnswer: 1587923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 89*v**2 + 8*v - 11. Let u be j(3). Let f = -814 + u. Solve f = -4*r + 16 + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18920 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1*(0 + -2). Let t(n) = 2*n**2 - n - p*n + 2*n. What is t(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 186 - 25774?\nAnswer: -255aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 143225131 - 0?\nAnswer: 143225131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6222505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(3) - -4*sqrt(9)\/sqrt(3)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115.9 - 18.9. Let g = a + -70.9. Round g to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27006 by -6.\nAnswer: 4501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110311 + 10?\nAnswer: -110301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75256154 + -7?\nAnswer: -75256163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1 - (-4 - -10)) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*h**3 + 26491*h**2\/2 - 12363*h - 1809\/2 = 0. Calculate h.\nAnswer: -603, -3\/44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*v**2 - 184*v**2 - 63*v**2 - 9*v**3 + 8*v**3.\nAnswer: -v**3 + 20*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/4)\/((-9)\/(-3063)). Let s = 1501 + f. Find the common denominator of s and (-1 - 1) + (-357)\/(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(6\/11))\/h*h**(3\/4)*h*h)**(-2\/95)\/(((h\/(h*(h*h**(2\/7)\/h*h)\/h)*h*h)\/h)\/(h*h**(-2\/51)))**(-4\/7) assuming h is positive.\nAnswer: h**(-219607\/1044582)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 484\/(-48) - 12\/144 - (-1)\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 22. Let g be (1 - (-1 - 2))*(-105)\/(-98). Is x at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16458\/1159 greater than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 583 - -1?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26326\/9 + 2925. Which is bigger: h or -26?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13014*g**2 + 365*g + 6. Let i be a(6). Round i to the nearest ten thousand.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 - 12*c + 6. Calculate r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3108*a = -5*g - 3104*a + 83, -3*g = -a - 26 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (234\/13)\/((-3)\/(-2)). What is the greatest common factor of l and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/15084 and 17\/20112.\nAnswer: 60336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21262, -43593, -65924, -88255, -110586?\nAnswer: -132917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1332*p - 3574 = 8414 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4464317 is divided by 106293.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2088 - 1775. Calculate the remainder when l is divided by 66.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5742085889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + 0 + sqrt(80) + 0)**2 - (5*(sqrt(320) + 1) + 4*(sqrt(320) + 0 + sqrt(320) + sqrt(320)) + sqrt(320))**2.\nAnswer: -103285 - 1520*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 72. Round b to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1842020 + 1?\nAnswer: 1842021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -2, 1\/4, -11\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.4, -3, -0.06, 7\/4, 47?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*u - 5. Find the common denominator of 1\/(-4) - 681\/(-108) and u + ((-550)\/(-64))\/5.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 7*c**6\/30 + c**4\/4 - c. Find the third derivative of x(i) wrt i.\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18891, -0.5, -2.\nAnswer: -18891, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 261270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-6)*16\/(-112))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b = 51*b - 2*l - 250381, l = -2. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 291 = -3*n, -n + 87 = -254*s + 257*s. Is 32 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 882012\/13 or 67847?\nAnswer: 882012\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91093 or -89872?\nAnswer: -91093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.07 + -0.07. Let t = 1020\/7 - 146. Put z, -7, t in increasing order.\nAnswer: -7, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 6*y + 2. Let j be t(-6). Let z(f) = j - 3 - 2 - 2*f. What is the units digit of z(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(6\/(-20)) - -2. Let f = 18 - a. Let k(i) = -i**3 + 6*i**2 + i + 6. Let d be k(f). Calculate the highest common divisor of d and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81 - -80)\/(-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 53*l + 48*l + 37 = 0, 0 = 2*y + 4*l - 20. Solve -4 = y*d - 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.1 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/(12*(-16)\/64)*-20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.6 - 21. Let f = o - -4. Let l = f + 0.36. What is l rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9981482 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 44887 * -6\nAnswer: -269322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-24 + 0)*-2. Let j(g) = g**3 + 8*g**2 + 7*g - 2. Let z be j(-6). Let s be (-2)\/(-3) - z\/6. Which is the third smallest value? (a) s (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-11 - -11) - -14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 392169600 rounded to the nearest one million?\nAnswer: 392000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -0.2, -0.5, 0.5.\nAnswer: -0.5, -0.2, 0.5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3.2. Let v = 55\/252 + 2\/63. Which is the closest to o? (a) v (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -40447\/4006?\nAnswer: -40447\/4006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 228228, -3, 0 in descending order.\nAnswer: 228228, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/(f*f*f*(f**(-2\/39)\/f)\/f)))*f)**39\/(f**(-4\/13))**(-13\/2) assuming f is positive.\nAnswer: f**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82390937 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let o = g + 5. Let w = o - 2.971. What is w rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439129 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 1388103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2034)\/(-791)*1862\/171\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 30 = -6*v. Let i be (1\/v)\/(1\/4). Which is the closest to -1? (a) 0.4 (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 1164857.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 11 + (-3 - (4 + 30)) - 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/409, -8426 in descending order.\nAnswer: -2\/409, -4, -8426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 - 87472831 + 87472831 - 6*z**2.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 6. Let b be d(6). Suppose 3*p - 3*i = b, -p + 0*p + 18 = i. Suppose -p = -2*o - 3*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 924 and 736514394.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + z + 10 - 44 = 0, 2*z + 42 = 5*m. Let n(i) = -2*i + 35. Calculate the lowest common multiple of n(m) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*r**2 + 64 - 70 + 28*r - 27*r.\nAnswer: 167*r**2 + r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*n - 14, 2*n - 4*k = k - 17. What is the units digit of 0\/n + 24\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**11*x*x*x**(1\/15))\/(x\/(x*x**(-2)*x)*x*x*x**9*x))**(-8) assuming x is positive.\nAnswer: x**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/(-6))\/(12\/8))\/(118*(-15)\/(-12))\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2222 + 2227. Solve -72 + 52 = -u*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -302, -1\/26528, -1\/2 in ascending order.\nAnswer: -302, -1\/2, -1\/26528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*y + 6*y - 7*y**2 + 14*y**2)*(0*y**3 + 3*y**3 - y**3).\nAnswer: 14*y**5 - 20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*q = 24 + 7, 0 = -r + q + 1. Let p = 10 - -88. Suppose r*z - p + 38 = 0. Solve 5*b - 2 = -z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 85 - 67. What is the second derivative of 2*y**2 - 2*y**3 + 19*y**3 - 16*y**j + 15*y - 15*y**3 wrt y?\nAnswer: -84*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*w + 5. Let h = w - -8. Let d be 7\/(-14) + 23\/h. Is -0.1 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 x when three letters picked without replacement from ooxxxooxoo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 1, x: 1, z: 3, s: 3, b: 2}. Give prob of sequence sy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10665 + 10668. Which is the nearest to -1\/27? (a) 2 (b) 4 (c) h (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, c: 2}. What is prob of sequence cqc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.69404021788 less than 81?\nAnswer: 160.69404021788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - 15*s**2 + 9*s + 6. Give f(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 930.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 508 = 5*v, -3*m + 2117 = m + 3*v. Calculate the greatest common factor of 41 and m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((1*sqrt(65)*5 - sqrt(65)) + (sqrt(65) - (sqrt(65) + (sqrt(65) - (sqrt(65) + 2*(sqrt(65) + 2*sqrt(65)))) - sqrt(65)))))\/(3*-4*sqrt(500)*-3))**2.\nAnswer: 1573\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329 = -94*y - 30*y + 1655 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.04, 3582, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13097904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/45*6)\/((-1)\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -3 - (-19 + (37 - (7 - -7)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyaln. What is prob of picking 1 g, 1 n, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -33, -14, 1\/3, 4387, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36439213.\nAnswer: 36439213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 192014 less than 1137123322?\nAnswer: 1136931308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 22. Let m(k) = 3. Let i(z) = z - 7. Let n(p) = -p + 1. Let h(a) = -i(a) - 2*n(a). Give g*m(o) + 3*h(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 12. Suppose 2*f = -u + h, -28 = -5*u - 3*f + 2*f. Suppose 0 = 2*x + x - 81. Solve -2*a + 4*c - 22 = 0, 0*c = -u*a + 3*c - x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icc when three letters picked without replacement from {p: 2, j: 7, c: 3, i: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5351*t - 711550. Calculate f(-133).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v. Let j(h) = -674*h - 9291. Determine j(d(l)).\nAnswer: -2696*l - 9291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/10)\/(9\/150)*-90. Find the common denominator of b\/(-126) + 3 + 1 and 139\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 3. Let p be y(7). Let o be -1*355*15\/p. Suppose -106 - o = -11*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Sort w, 3, 4.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 29, -7, -10\/9, -4, -0.08, 4, 2\/23?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11820294 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.229 - -11566.4\nAnswer: 11566.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 19*r**2 - 19*r + 26. Let y be n(18). Solve -y = 3*x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 12 = -b + 2, 5*c + 51 = 4*b. Let y be 4\/(-8) + (-138)\/(-4). Let t = y + b. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5*84\/(-90))\/(28\/(-42)). Let p(w) = -w**2 + 34*w + 286. Calculate p(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 4*n + 2. Let i be u(-3). Let f be (4\/(-6))\/((-32)\/(-18)). Is f equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - -30. Suppose -2*u - 26 = -f - 7*u, -4*f + s = -3*u. Suppose 0 = -5*x + 99 + f. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -944 - 3889431977\nAnswer: -3889432921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -150 and -25255.\nAnswer: 3788250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 32878*l**5\/3 - 986332*l**4\/3 + 10126184*l**3\/3 - 38464796*l**2\/3 + 9761646*l + 2376 = 0.\nAnswer: -4\/16439, 1, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s - 66. Let c be l(-16). Solve c*p = -18*p + 128 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143974 + 571111\/4. Let g = n + 1203. Find the common denominator of -67\/36 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11177b (base 16) in base 4?\nAnswer: -10101131323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (0 + sqrt(153) + sqrt(153) + 0)*4)**2 - -2*(sqrt(153) + 2 + -2 + -2))*-3.\nAnswer: -29439 - 738*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = o + 2*o - 83, n - 29 = -o. Let z = o - -25. What are the prime factors of 5\/(z\/(-8))*-40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336, 282, 284, 348, 480, 686, 972?\nAnswer: 1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, -120, -174, -214, -234, -228, -190?\n\"Answer: q**3 - 2*q**2 - 63*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 157, 623, 1409, 2521, 3965, 5747, 7873?\n\"Answer: d**3 + 154*d**2 - 3*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*f**2*k**3 + 43*f**2*k**2 + 7211*f**2*k + 3*f*k**2 - f*k + 5*f - k**3 - 6631*k**2 - 36 wrt f.\nAnswer: 110*k**3 + 86*k**2 + 14422*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4955 and 3001739.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 554.0634 decades?\nAnswer: 5.540634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8.6, 1\/500, 2\/15, 0.5 in ascending order.\nAnswer: -4, 1\/500, 2\/15, 0.5, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(162) + -5)**2.\nAnswer: 270*sqrt(2) + 1483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yydy when four letters picked without replacement from dydyyyyd?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*i = 5, -b + 4*i = -18 + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(72) - (sqrt(72) - ((sqrt(72) + sqrt(72)*-1)*-5)**2))*5 + -4 + 0 + 5)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 390 and 2.4215648?\nAnswer: 387.5784352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -17. Suppose 2*z + 3*y = 5, 2*z - 6 = 3*y + 5. Calculate the lowest common multiple of h and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(51)*-1 - sqrt(51))\/(sqrt(192) - sqrt(3)))**2.\nAnswer: 612\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 5*p + 11. What is the remainder when v(-5) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 37, 2\/5, 3, 10 in ascending order.\nAnswer: -5, 2\/5, 3, 10, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 1. Let r be t(5). Let z(w) = w**3 - 9*w**2 + 5*w + 4. Does 18 divide z(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.254\nAnswer: 1.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + 9*f**2 + 6*f**2 + (2*f - f + f)*(0 + f + 0) + 5*f - 5*f + 2*f**2 to the form k*f**2 + p*f + l and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 3*q**6\/5 - 7*q**4\/6 - 12*q. What is the third derivative of g(u) wrt u?\nAnswer: 432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (2436\/(-720) - 2\/(-15))*-4\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41866595 = -117*t - 18*t + 77295070. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.26408 years to millennia.\nAnswer: 0.04126408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2 + 6. Let j be b(0). Let o(w) be the third derivative of w**4\/24 + w**3\/3 + 25*w**2. Let l(h) = -3*h - 7. What is j*l(y) + 21*o(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 45 + 7*g)*(0 + 2*g**2 + 0) + (0*g**2 - g**2 + 0*g**2)*(-g + 2*g - 2*g) + g**3 + g - g + g**3 - g**3 + 3*g**3.\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 5:11 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/30 - 516\/(-180). Suppose d*c + 3 = 6. Suppose u + 4 = -c. Sort u, 3, -4 in increasing order.\nAnswer: u, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 1.4. Let j = -0.1 + l. Let z = j - -1.356. Round z to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/23, -2, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*f**4 + 114*f**4 - 27*f**4 + (2*f - 5 + 5)*(-2*f**3 + 4*f**3 + 11*f**3) to the form i*f + b*f**3 + q*f**2 + a*f**4 + k and give a.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -0.8. Let i = 28 + -25. Let v = i + u. What is the closest to -1\/2 in 3\/7, v, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.34 - 29.84. Which is the second biggest value? (a) -0.4 (b) -4 (c) k (d) 584\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/8750 - 34961\/113750. Which is the closest to -3\/5? (a) y (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 4*o**2 + 2*o**3)*(146*o + 464 - 464).\nAnswer: 292*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 p when four letters picked without replacement from {u: 6, l: 1, p: 3, k: 4}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*w - w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110950972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**3 + 62840*w**2 - 130111300*w + 74288434000 = 0?\nAnswer: 1210, 10148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**3 + c + 1. Let w(g) = -g**3 + g**2 + g - 1. Let m be w(0). Calculate the lowest common multiple of (-3 - (4 - 6))*-11 and r(m).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 4*o - 115 = 0, 72 = -6*v - 2*v - o - 2*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29018910643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i*k - i*x**4 + 190*i*x - k*x**2 + 573 wrt x?\nAnswer: -4*i*x**3 + 190*i - 2*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4\/3, 51, 0.4, 183?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -2481968?\nAnswer: 2481968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344525 (base 8) to base 4.\nAnswer: 130211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2143.40072 - -2142.1. Let c = s - -1.3. What is c rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a + 2*l - 127, 0 = -3*l + 9. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58726947 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q + 1. Let x be s(1). Solve -3*r - 2 = -x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 135, 199?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y + 6. Let d be t(-4). Let x = 94 - d. Let l = 9 + x. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 0*t**3 + 0*t**4 + 0*t + 3 - 1\/30*t**5 + t**2. Let z(u) be the second derivative of v(u). Let z(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*b = -9, 5*c = -0*c + 2*b - 9. Let d be (c + (-38)\/(-6))*(-21)\/(-14). Solve d*k + 9 = -4*z, 0*z - 5*z + 4*k = -40 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -21. Suppose 20*h - j = 19*h. Suppose 4*c - h = u, c + 6 = 4*c - 3*u. Solve 0 = -0*v - v + 5*l + 25, 0 = c*v + 2*l - 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 4*b**2 - 3*b. Let y be z(3). Let h = -39\/199 + -8099\/24676. Let u = h + -7\/31. What is the closest to 0.1 in y, u, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let b = -130 + 132. Find the third derivative of 8*y**b - 2*y**5 + c*y**5 + 5*y**5 wrt y.\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9525320 + -3975320. Round g to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i. Suppose 0 = 12*g - 6*g - 390. Let j(p) = -3 + 3 + 62*p - g*p. Determine v(j(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 - 152 + 28*b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11\/4)\/m**(-14) assuming m is positive.\nAnswer: m**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107492729 equal to 107492728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.57565l?\nAnswer: 4575.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*o + 309 + 137 = -25*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37879800 and 2175?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018735703 to four decimal places.\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6864 - -6864. Which is bigger: -0.01541 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8433*t - 22923. Calculate x(-3).\nAnswer: 2376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -231684?\nAnswer: 231679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1229493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 16*k - 2162. What is the least common multiple of (3 - 0)\/(2\/44) and w(56)?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(17)*2 + 2*sqrt(17)*-6 + -3)**2.\nAnswer: 84*sqrt(17) + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + 2*sqrt(931))**2 - -4*(0 + sqrt(931))) + (-3*sqrt(931)*-2*1)**2)*-5*5*-6.\nAnswer: 16800*sqrt(19) + 5587350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*g + 58*g + 213 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 747.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30170\/2085 - 4*(-3)\/24. Let d = f + 120\/139. What is the common denominator of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -8 - 8. Solve p*v = -v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 4 + 2)*(1 - 4 + 1) - 4 - 1 + 4)*(-48 + 2*m - 44 + 25) to t + i*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(0 - 2\/22). Let d = g - -20. Calculate the smallest common multiple of d and (-2)\/3*(-33)\/2.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 2*f**2 - 1\/2*f**3 + 22\/5*f**5 + 1\/12*f**4 + 0 + 205*f. What is the second derivative of c(d) wrt d?\nAnswer: 528*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-423.371.\nAnswer: -9314.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*sqrt(80) + 1 - sqrt(80) - 1*1*sqrt(80)) + 2 + (-6*(sqrt(80) + 0) - sqrt(80)))**2.\nAnswer: -336*sqrt(5) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15522 and 4278.\nAnswer: 11067186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 = -y - 3, 0 = 3*y + 6. Suppose q*c + 105 = 5*t, 3*t = t - 3*c + 42. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (0 + ((sqrt(1216) + 1 + sqrt(1216))*4 + (0 + 1*sqrt(1216) - sqrt(1216)))*-3)**2).\nAnswer: 4608*sqrt(19) + 700558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/18*(-70)\/8 and 10 - (-10 - (-2912)\/143)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-1 + -15)*(-12)\/3. Which is the nearest to m? (a) 3\/7 (b) 44 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 6. Let d(z) = z + 12*z**2 + 1 + 2*z + z**3 - k*z**2. Let p be d(-2). Solve -p + 7 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 180. Calculate the remainder when k is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*u = 13, -308*u + 1229 = -54*x + 57*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 7}. Give prob of sequence cc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 7*x + 2. Let b be o(6). Suppose 2*h + 3*w = 9 + b, 4*h + 2*w - 30 = 0. Find the first derivative of 0 - 5*u**2 - 6 + h wrt u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43573239.00643 - -43573462. Let w = 55 - -168. Let p = q - w. What is p rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283\/5077, 2\/17, 5\/4, 2\/11 in descending order.\nAnswer: 5\/4, 2\/11, 2\/17, -283\/5077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -29*y**3 - 5*y**2 + 8*y + 4. Let o be k(3). What is the common denominator of (208\/o)\/((-8)\/15) and -7\/2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4094526 + 0.3.\nAnswer: 4094526.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 0, 2\/5 in increasing order.\nAnswer: -6, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 618, 669, 720, 771, 822, 873?\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 9*f + 4 = 6*f, -3*s + 5*f = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 300 = 0. Suppose 4*c - g = 4*j + 184, c + 5*j = 77. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, 50, -1\/7 in increasing order.\nAnswer: -6\/5, -1\/7, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 7*q**2 - 4*q - 23. Let i be s(-7). Let z(a) = a**3 + 8*a**2 + 7*a + 5. Let v(j) = -j**3 - 9*j**2 - 8*j - 6. Determine i*v(l) + 6*z(l).\nAnswer: l**3 + 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30750 - 59860. Let o = -436082\/15 - y. Let t = o - 110\/3. Which is the smallest value? (a) -11 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -69.986. Let z = d - -0.276. Let f = -0.289778 + z. Round f to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*i - 12. Let g(o) = 4*o - 16. Let j(m) = m - 5. Let k(n) = -2*g(n) + 7*j(n). Let z be k(i). Solve -u + 9 = 2*r, 0 = 2*r - z*u + 1 - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*b = 3926 + 3598. Solve -b*g = 107 - 31 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.157485 + -47.842625. Let l = 62 + q. What is l rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16)\/(((i\/i**3)\/i)\/i*i) assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55403, 55416, 55437, 55466, 55503, 55548?\n\"Answer: 4*a**2 + a + 55398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 1008*y - 1009*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6677489 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 693\/140 + -8.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, x: 2, h: 4, v: 1}. What is prob of sequence hx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-1)\/(-16))\/(13\/(-26)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 61. Let a be (-310)\/93*(u + -3). Is 4\/3 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 148 (c) 0.0538\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u + 3*w + 1, 6 = u - 5*w. Is (1 - 0)\/(u\/19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = 0, 0*y - 2*y = u - 13. Let r = y + -6. Solve 2*a - 5*t + 18 = r, 0*a = -2*a + 3*t - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 4, v: 2, u: 4, z: 5}. What is prob of sequence fef?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1760)\/(-400) - (-4)\/(-10). Put h, 2, -3 in descending order.\nAnswer: h, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -0.017, 5, 1?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c58 + 1a?\nAnswer: 1c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-12022934)\/624568 + (-6)\/15 + (-14)\/40\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4808 - -4803. Which is the third smallest value? (a) 1\/2 (b) t (c) -6\/11 (d) 4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-10))\/((-5)\/(-25)*-2). Let y(x) = 1 + 2*x + 2*x + 0*x. Let n(v) be the first derivative of -21*v**2\/2 - 5*v + 1. Calculate z*n(r) - 11*y(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22920, 22917, 22914, 22911, 22908?\n\"Answer: -3*f + 22923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116290056 is divided by 29072513.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**6\/360 - s**3\/2 - 3*s. Let k(h) be the second derivative of l(h). Let g(t) = 2*t**2 - 4*t**2 + t**2. Give k(g(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 1401 (c) 118 (d) 0 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -4*l**3\/3 + 7*l**2\/2 + 10*l + 521. Determine k(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -366 + 396. Let m = 37 + -28. What is the least common multiple of m and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 522 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*o**2*s**2*u + 44*b**3*o**2*s**2 - 4*b**3*o*s*u - 2*b**2*o*s**2*u + b**2*o*s**2 + 2*o - u wrt o.\nAnswer: 2*b**3*s**2*u + 88*b**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from aza?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122110100002 (base 3) to base 6.\nAnswer: -30431045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*a - 596, 0*y = 2*a + 2*y - 238. Suppose 0*t - a = -4*t. Let o = t - 12. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26\/13177 + -588124\/9131661. Calculate the common denominator of x and -85\/12.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(300)*-6)\/sqrt(10))\/(sqrt(216)*-2*4).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-2))\/((-3)\/(-4)). Suppose o = -o - 4*k + 4, 0 = 3*o + k - u. What is the smallest common multiple of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324858766?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 954 - -1680. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385590 is divided by 563.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 1 = -4*v, 366975*n + 2*v = 366976*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 4. Let m = y + 4.6. Which is the biggest value? (a) m (b) -6\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -749 * -0.152.\nAnswer: 113.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = 11*i. Let s = -2 + 1. Is i greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j. Let f(a) = 540010*a - 10. Determine s(f(k)).\nAnswer: 1080020*k - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1555 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/127)*m**(-1\/2)*m*m*m*m*m\/(m\/(m\/m**(2\/15)))*m\/(m\/m**(-3\/7)) assuming m is positive.\nAnswer: m**(105449\/26670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 28*l - 811. Let u be h(29). Which is the nearest to 1\/4? (a) 4 (b) -58 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*q - 3 - 13 = 0, -5*z + 5*q + 45 = 0. Suppose 7*f - 5*f - z = 0. Solve r = -x - f, 4*r - 4*x - 24 = -0*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 4, q: 4}. What is prob of sequence it?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/45*9\/15 - (-30502)\/3775. Let w(o) be the third derivative of o**5\/60 - 5*o**4\/12 + 7*o**3\/6 - 6*o**2. Calculate w(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*t)*(-4 + 5 - 9) + (-5*t + 50 - 50)*(-6 - 2 + 1)*(-2 + 3 + 0) in the form i + r*t and give r.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 1\/4, 0, -2\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/(-371))\/1 - ((-11)\/14 - -2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -781 + 2342. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and -2.21.\nAnswer: -75.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllvkllululklklllel. Give prob of sequence elvl.\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {d: 5, w: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 8. Let k be i(-7). Let n = -1 - k. Let s = 84 - n. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*f + 10, 4*f + 9 = -11. Suppose -8*x + 783 + 1161 = y. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 815.\nAnswer: 8150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 4*u = 10. Suppose -u*x + 7*x - 10 = 0. Suppose -4*n + x*s - 23 = -9*n, -3*n + 19 = -4*s. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - -1. What is the highest common divisor of j and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 231*l - 234*l - 21, 0 = l + 3*v - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -108306+-4381597\nAnswer: -4489903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -41*v**2 - 17*v - 7. Let c(f) = -21*f**2 - 7*f - 3. What is 5*c(o) - 2*t(o)?\nAnswer: -23*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38649*l - 32031*l + 7699*l.\nAnswer: -62981*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (6 + (-22 - -9)). Solve 13*u = 4*u + r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 9 + 0*g - 5\/2*g**2. Let b(x) be the third derivative of -7*x**4\/24 - 2*x**2. What is y(b(t))?\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50250149993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 441.94 + -446. Let f = 0.06 + v. Let n = 1 - 4. Which is the second smallest value? (a) f (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t*t**(1\/10))*t*t)\/t**(-3)*(t**(-2\/3))**(-1\/61) assuming t is positive.\nAnswer: t**(12647\/1830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = -4. Let f = -79\/495 + -1\/45. Is i smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 3*f + 3. Let q be y(0). Put 2, 9, -2, q in decreasing order.\nAnswer: 9, q, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 12) in base 6?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4916.181 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190078 divided by -14.\nAnswer: -13577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/152 and -57\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(7254\/2538) - -11.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61946186*f**2*p**4 - 2*f**2*p + 664*f**2 + 2*f*p**2 - 34772*f*p + 3*p**4 + 2*p wrt p?\nAnswer: -1486708464*f**2*p + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339688366 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/((-6)\/(-8)). Suppose 3*p + 0*f = 3*f, a*p - 20 = -3*f. Factor -6*u**2 - 2*u - p - 4*u**3 + 2*u + 6.\nAnswer: -2*(u + 1)**2*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i**2. Let a(t) = 2*t**2. Let d be a(1). Let j(b) = 8*b**2 - 13*b**2 + 8*b**d. Give j(v(m)).\nAnswer: 363*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/2 - (12 + -13). Let i be ((-24)\/20)\/3 - f\/(-10). Let l(b) be the third derivative of b**4\/6 + b**3\/6 + 6*b**2. Give l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 22*t - 242 = -34*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**5 - 1013311*x**4 + 9*x**3 - 84*x**2 + 561460 wrt x?\nAnswer: -120*x**2 - 24319464*x + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - j - 4 = 2, 4*z + j - 8 = 0. Suppose -z = 2*i - 12. Suppose c - 4*r = -c + 8, -c + i*r = -4. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*x - 6*x. Let y = -106 - -194. Suppose y = 10*u - 12. Solve -s - x*s = -u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 2*a**2 + 11*a + 16. What is l(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2. Let f(k) = -65*k**2 - 24*k**2 + 23*k**2. What is f(s(x))?\nAnswer: -264*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1505991960 and 327?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p. Let i(z) = 30536*z. Determine i(c(s)).\nAnswer: -61072*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2. Let p(u) be the third derivative of -17*u**5\/20 - 21*u**2. Determine f(p(r)).\nAnswer: -2601*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 141, 586, 1327, 2364, 3697?\n\"Answer: 148*j**2 + j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1101101001111101011100001001?\nAnswer: 1101101001111101011100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 549*s**2 + 13*s + 2. Let v be o(-5). Suppose 0 = 4*y + 2*w - v, w = -4*y + 6*w + 13655. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 1:55 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 148919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 5*t**2 + 2*t**2)*(0*t - 7*t + 0*t**2 + t**2).\nAnswer: 2*t**4 - 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*k - 8*k - 35. Let t = 2.6 + -3. What is the fourth smallest value in t, -0.5, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 2*a + 4*b, -3*b = -2*b - 4. Suppose -2*n + 52 = -a. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s. Let f(a) = -92451*a**2. Calculate f(v(l)).\nAnswer: -3328236*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 2. Let u be s(2). Suppose 5*z + 4*p + 16 = 0, -4*z + u*z - 2*p = 8. Suppose z = 7*n - 2*n - 30. Solve n*i - i = -4*w + 35, -2 = i - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, -7, -33, -69, -115, -171, -237?\n\"Answer: -5*o**2 - o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19609 greater than or equal to 19245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11722 - 6*c**3 + 11713 - 58593 + 11716 + 11723 + 11719.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4816 divided by 8?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -430437226?\nAnswer: -430437232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*o**3*q - 2*o**3 - o**2 - 59*o*q wrt o?\nAnswer: 84*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddzzddtdtdd. Give prob of picking 1 d and 1 t.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2736))**2 - sqrt(19))*-5.\nAnswer: -54720 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0048177 micrometers to kilometers.\nAnswer: 0.0000000000048177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.38.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 1. Let q(b) = -b + 1. Let g(x) = -2*j(x) - 2*q(x). Let r(v) = -9*v**2. Determine r(g(o)).\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/q**(-1\/4)*q*q)**33*q\/(q*q\/q**(-3))*q*q\/q**2*q*q*((q**(-2\/7))**(11\/6))**46 assuming q is positive.\nAnswer: q**(12361\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 6 - 14 + 0 + (-5 + 3 + 1)*(3 - a - 3) - 6 + 10*a + 6 + 2*a + 2*a - 10*a to the form p*a + j and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9771 = 3*q - 4*d, -4*q + 4*d = d - 13028. Suppose 5*y = -2*t - 2293, 5*y + q = 2*t + 980. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4902152.52 rounded to the nearest ten thousand?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19060921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/6 - 994*b**3 + 5806379*b**2\/6 + 1650222896*b - 1651189632 = 0.\nAnswer: -853, 1, 3408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*d**2 + 512*d**2 + 3 + 206*d**2 - 1.\nAnswer: 577*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 5:31 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-5)*l*l)\/(l**(1\/6)\/l)*l**(-2)\/l*l*l**(-5) assuming l is positive.\nAnswer: l**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-9))\/(10\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114366.\nAnswer: 2, 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -de6 (base 15) in base 7?\nAnswer: -12105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**3 - 35*f**3 + 24*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9317 - -9317.01. Is -450 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hik when three letters picked without replacement from {k: 1, h: 1, y: 1, c: 5, i: 3, q: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 12*c - 127. Let n(y) = 13*y - 131. Let j(a) = 8*n(a) - 9*s(a). Calculate j(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 748679.3 grams in micrograms?\nAnswer: 748679300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a kilogram in grams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - g + (0*g + 4*g - 3*g)*(-4 + 2 + 0) + 6 + 2*g - 6 + 1 - 1 - 14*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**9\/126 + 3*s**5\/20 - s**2\/2 - 4. Let w(l) be the second derivative of h(l). Find the third derivative of w(j) wrt j.\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17054 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002056962361 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 41645*r**2 - 3 + 41644*r**2 - 124943*r**2 + 3*r**3 - 3*r + 41639*r**2 as q*r**3 + t*r**2 + o*r + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o + 3. Let f be v(-1). Let u(k) = 2 + f + 4 - k. Give u(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*t - 33*t + 124997510 = 46977419. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 203420?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5516011.\nAnswer: 5516011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3020, 5, -12, -9?\nAnswer: -3020","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-45))\/(10\/(-197300)).\nAnswer: 2, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-4) + 22\/8. Suppose 0 = t*r - 4*r + 4. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133989786 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddzddddddzz. Give prob of sequence dzdz.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 14*x**2 + 64*x + 593. Determine p(-13).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13766579*b**2 - 6281779*b?\nAnswer: 27533158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1536*w**6 - 250*w**2 - w?\nAnswer: 184320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 13192709?\nAnswer: 13192709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6379326?\nAnswer: 2, 3, 19, 23, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 20. Suppose -5*a + 5*y = -30, a + 0*a - d = -y. Suppose 0 = a*c - 3*c - 70. 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: Is 1437492403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 817840 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g - 46. Suppose 6 + 33 = 3*s. What is the remainder when s is divided by p(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256041 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-21))\/(5 - (-219)\/(-45)).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 2*d**3\/3 + 13*d**2\/2 + 27*d + 11. Let z be h(-6). Calculate the highest common divisor of z and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.1 - 4.9. Which is the biggest value? (a) -2\/7 (b) -2\/5 (c) q (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhmmmcxhmwcmhmmm. What is prob of picking 2 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*a = 251*a + 2320 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3456*x**2 - 131*x - 155*x - 160*x + 444*x.\nAnswer: -3456*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231041 - 2083435\/9. Let z = -447 - k. Find the common denominator of z and -5 - (-63)\/(-10) - -1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 - 94. Let c(i) = 75*i - y - 73*i + 3. Let v(m) be the first derivative of -13*m**2 - 1. Calculate v(c(j)).\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 + -4.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**1*p)**(-14\/9)*((p\/((p\/p**(-2))\/p))\/p)**(2\/3) assuming p is positive.\nAnswer: p**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + x + 23 = 0, 6*z = 5*z + 3*x + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3225098.\nAnswer: 2, 19, 84871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 1 (c) -107 (d) 3587\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 31\/4. Which is the biggest value? (a) 1\/6 (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/396*-3 + -46*2\/(-264)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/592 and -29\/1628.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534104 is divided by 249?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/1*(-4)\/((-60)\/33). Let w(x) = x**3 + 13*x - 6*x**2 - 8*x**2 + 4 + k*x**2 + 16*x**2. What are the prime factors of w(-8)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 36*k**2 + 69*k + 931. Determine p(33).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3. Let i(o) = 14*o - 8. Let g(f) = -i(f) - 3*y(f). What is g(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1044*t + 7258. Determine k(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 805 times 0.9?\nAnswer: 724.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*r + 69*r - 4998. Calculate the remainder when 587 is divided by r.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 1 + 4 = 3*q - 0, -58*q = -54*q - 57*c + 354 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212100121012 (base 3) to base 7.\nAnswer: 3623153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 6*m + 59. Let r be l(-5). Solve 0 = -r*h + 5*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -127 (c) -2\/3 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 o, and 2 l when four letters picked without replacement from mmmmmmmlmmmlomlm.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + 30*d + 26. What is o(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4006563 and -0.4.\nAnswer: 1602625.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*t - 159 + 17, -g - 3*t + 32 = 0. Suppose g*i + 99 = 39*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(45*h + 586 - 586)*(-7*h + 7*h - 3*h**4).\nAnswer: 270*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 101555608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -4.\nAnswer: -5, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11297 - -11301. Which is the fourth biggest value? (a) 0.3 (b) -7 (c) -1 (d) y (e) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 2 (c) 4\/5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1984, -2023, -2080, -2155?\n\"Answer: -9*o**2 - 12*o - 1963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39, -65, -103, -159, -239, -349?\n\"Answer: -b**3 - 19*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y + 7. Let j be (5*(-4)\/(-20))\/(7\/28). What is n(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + q**4 + 3*q**4)*(-97*q - 58*q + 7*q)*(1 + 11 + 3).\nAnswer: -2220*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -337*w - 1274. Is 32 a factor of a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -29. Suppose -m*n = 2*b - 191, 0*b - 2*b + 2*n + 206 = 0. Suppose 39 = i - 4*s + 1, 2*i = -4*s + b. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*g + 3. Let x(m) = m**2 - 2*m - 2. Let k be x(g). Is 5 a factor of 9 + k - 14\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 22 + 37 = 0, -3*p = 3*b - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -52?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413966023?\nAnswer: 3, 7, 12772307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*y = 442*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(84)\/(1*sqrt(12) + sqrt(12))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i*k*v**2 + 2*i*k*v - 9*i*k - i*v**2 - i*v + 4*i + 31*k*v**2 - 8*v**2 - 815*v - 2 wrt v.\nAnswer: 22*i*k - 2*i + 62*k - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4\/7 (b) 0.5 (c) -13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1)*g))**31*g**5\/(g\/g**(-7\/4)*g)*((g**(-2\/21)\/g)\/(g\/g**(1\/3)))\/((g**7\/g)\/(g**(7\/3)\/g)) assuming g is positive.\nAnswer: g**(-145\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -563*z**7\/42 - z**5\/10 + 325*z**4\/12 + 2*z - 298. What is the third derivative of x(c) wrt c?\nAnswer: -33780*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5858*r - 5763. Calculate a(1).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 59471.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -0.03, 0.1, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 30 + 3*g + 35 + 25 - 123.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -42 + 48. Let o(x) = 3*x**2 - 1. Let t be o(1). Calculate the highest common divisor of p and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 496*n**2 - 10*n - 7. Let o be w(-7). Suppose 27*z - 34*z + o = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 299*m**5 + 435*m + 7. Let d(u) = -u**5 + u + 1. Let i(x) = -14*d(x) + 2*p(x). What is the second derivative of i(t) wrt t?\nAnswer: 12240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016405 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(560))\/((sqrt(605) - sqrt(605)*-2)*2).\nAnswer: -4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170227*x**2 - 3 + 1 - 170229*x**2 + 3864*x**4 to b*x + y + l*x**2 + p*x**4 + m*x**3 and give p.\nAnswer: 3864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8843 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9551771 or 57310625\/6?\nAnswer: 9551771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmezqmeqqzemzm. What is prob of picking 1 z and 3 e?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from ksfsffkkfssmsks.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/8)\/((-1)\/(-1)). Suppose -p - 4*v + 16 = m, -2*p + 2*v + 3 = 1. Let k = 34 - 18. Solve -p*i + 0 = k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2 + (-2)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 14 + 48 = 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 177. Let q(h) = -17*h**2 + 4355*h. Determine j(q(y)).\nAnswer: 17*y**2 - 4355*y - 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4921*z**4 - 327*z**3 - 8994976*z wrt z?\nAnswer: 59052*z**2 - 1962*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34941 - 18788. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + 10. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 81126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 8:34 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 - 95795.376658.\nAnswer: -95795.406658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2672, 1\/2, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45714 + -29844. List the prime factors of s.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-12)\/(-15))\/((-4)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2418515\/(-33) + -3)*6\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 3*q**2 + 9. Let d be u(-4). Suppose -3*k + 35 = -d. Suppose 21*s + k = 23*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: Suppose -2 = 3*s + 10. What is the remainder when (9 - -1)\/(s\/(-14)) is divided by ((-2)\/(-3))\/((-3)\/(-54))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -995 - 760. Is 5\/(f\/(-57226)) + 2\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 8 = 5*s, -3*s - 6 = -y. Suppose -6 = 3*b, -4*o = -3*b - 5 - 1. Suppose -3*u + 12 = -o*c - 4*c, -2*u + y = -3*c. Solve -h = -u*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65236 is divided by 65234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -1\/20*d**5 + 0*d + 1\/12*d**3 + 1\/24*d**6 - 1\/16*d**4 + 32 + 0*d**2. What is m in z(m) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26315*s**6 - s**4 + 2195*s**2 - 2*s - 1.\nAnswer: 3157800*s**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 206 + 722 = 0. Let v be (-24)\/(-9) - 2\/3. Suppose -47 = -4*a + v*t + 213, 5*t = -4*a + r. What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 199, 822, 1817, 3148, 4779, 6674, 8797?\n\"Answer: -6*s**3 + 222*s**2 - s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 214.99422316 to 2 decimal places.\nAnswer: 214.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109380 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2704 + 2710. Solve 0*w + b = 4*j + w, -12 = -4*j + 2*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52858 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t - 3. Let m(d) = d**2 + 16*d - 34. Let h be m(2). What is the remainder when b(-3) is divided by (17\/h)\/(1\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16 - 4 = 0. Suppose -l*j - 412 = -428. Solve j*v = -1 + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 6024042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -6*f - 5. Let l be (3 + 26\/(-4) + 4)*f. Solve 0 = s + 5 - l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -337 - -309. Put -1, -2\/9, q in descending order.\nAnswer: -2\/9, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7611174 rounded to 1 decimal place?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f + 1. Let z be (-4)\/(-10) + 168\/(-70). Let v be p(z). Suppose 0 = -i + 15 - v. Is -1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122 - 138 + 2083)*(-p + 0*p + 0*p).\nAnswer: -2067*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 383567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79871 is divided by 86.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-8)\/t)\/t)\/t**(2\/13))\/(t**(2\/5)\/t**(2\/19)) assuming t is positive.\nAnswer: t**(-12904\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1578456?\nAnswer: 631382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 36 = -5*r. What is the remainder when 46 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 8884*o - 8883*o - 5*a, 0 = -4*o - 14*a - 90 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5076.8*948\nAnswer: 4812806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23*(-65)\/(-26))\/((-10)\/2*(-10)\/(-60)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11521*s**2 + 6308*s**2 - 8964*s**2.\nAnswer: -14177*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 - 6*t - 2. Let i be d(7). Let w = 29 + i. Let y = 8 + 4. Calculate the greatest common divisor of y and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/8 in 2, 5, -0.2, -0.4, 1213?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/30 - g**4\/12 + g**3\/3 + 3*g**2 + 5. Suppose 3*k = -13 + 4. Let b(c) = 5*c**2 + 4*c - 4. What is k*b(n) - 7*q(n)?\nAnswer: -n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-44)\/14)\/((-36)\/42)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20333.406 months to centuries.\nAnswer: 16.944505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 24*w - 42 = -3*t, -4*w - w + 2*t = 33 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 251291843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let a(g) = -15516 + 15516 - g. Let t(j) be the second derivative of 7*j**3\/3 - j. Let m(i) = -4*a(i) + t(i). Determine u(m(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 7. Is -6 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -120, -239, -358, -477, -596, -715?\n\"Answer: -119*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/4428585 and 181\/11760.\nAnswer: 496001520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -29.8. Let i = v - -0.8. Let p = i - 17. Which is the second smallest value? (a) 0.1 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.06, -4.6, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 8*a**2 - 10*a + 17. Let s be y(7). Let n be 0\/(s*(-1)\/4) - -29. Is n greater than or equal to 324\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**5 + 2*h**4 - h**3 - h - 1. Let c(v) = 17*v**5 + 6*v**4 - 66*v**3 - 4*v + 433. Let b(j) = -c(j) + 3*x(j). Find the second derivative of b(f) wrt f.\nAnswer: -280*f**3 + 378*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s = 72 - 201 - 471 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7142.716 minutes in nanoseconds?\nAnswer: 428562960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 64 = 67*n - 387, 150*w = -2*n - 151*w + 462*w - 156*w - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**4 - 96*o**2 - 436*o wrt o?\nAnswer: 24*o**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*j - 3*w + 13, 0 = j - w. Suppose 960 = 4*a + j*a. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5593133 and 2275.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 37. Let t be x(17). Suppose -5*q - 4 = -t*s, -6*s + 2*q - 17 = -11*s. Which is the biggest value? (a) -4 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -14 (b) 0.08 (c) -26 (d) 23 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5993000 a multiple of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-184)\/24)\/((-462)\/(-231))?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -43, -76, -127, -202, -307, -448, -631?\n\"Answer: -p**3 - 14*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 294 = -27*j. Calculate the remainder when 96 is divided by j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -3*r**3\/2 - 15*r**2\/2 - r. Differentiate q(u) with respect to u.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**7\/c**(-1)*c**(-2)*c*c**(-2\/15)\/c assuming c is positive.\nAnswer: c**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, -2, -121, -3 in ascending order.\nAnswer: -121, -5, -3, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6249, 6227, 6205, 6183, 6161, 6139?\n\"Answer: -22*u + 6271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 4.26 (c) 0.399 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36534379 to the power of 1\/2, to the nearest integer?\nAnswer: 6044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5674.4395224 plus 599?\nAnswer: 6273.4395224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-18))\/((-1)\/9)*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*o**2 + 4*o**3 - 15*o**2 + (-332*o**2 + 1 + 332*o**2 + o**3 + 64*o)*(-4 + 1 + 2).\nAnswer: 3*o**3 - 64*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -155*t - 181. Is g(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.58 and 4.2.\nAnswer: -2.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:43 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 355550332 a multiple of 1249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 3878580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (318 - (0 - -2)). Let o(a) = a**3 - 25*a**2 + 2. Let t be o(25). Let l(i) = -156 - i**t - 161 + f. Let w(d) = -34*d. Determine w(l(h)).\nAnswer: 34*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 0.039, -4, 0.9, 18\/5 in decreasing order.\nAnswer: 4, 18\/5, 0.9, 0.039, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 5:28 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 38*k - 178. Let b be d(5). Suppose 0 = -65*m + 71*m - b. Factor 25*i**m - 45\/4*i**3 - 5*i + 0.\nAnswer: -5*i*(i - 2)*(9*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-20))\/(2\/(-15)). Let r = 150.006 + -148. Let y = r - 0.006. What is the closest to y in m, -0.3, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 74. Solve -4*i - 8 = 2*k, q*i = -0*i - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(384))\/((sqrt(8) + sqrt(8)*3)*6 + sqrt(8))*-1*5.\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102550 and 2135?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*r + 6*r - 1, q - 3*r = -1. Is q at most 4\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 3774.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 224a + 9?\nAnswer: 2258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s = 0. Suppose s = f + f - 32. Suppose 0 = -z + 4*x + 8, -4*x - 4 = z - 2*x. Solve 4*q - f = -z*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 6*i**2 + 9*i - 12. Determine p(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 11:20 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0)\/(-2 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 3:00 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let g(a) = -a - 1. Let j(c) = 2*c + 3. Let t(q) = 6*g(q) + 2*j(q). What are the prime factors of t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3.5 = 8519642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(567) + -4 + ((-1*sqrt(567))**2 + sqrt(567) + sqrt(567))*4 + sqrt(567) + -1 + (sqrt(567) - (sqrt(567) - (0 + sqrt(567)*2)**2 - sqrt(567))) + 2.\nAnswer: 99*sqrt(7) + 4533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4100 (base 5) in base 16?\nAnswer: -20d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/(-2)*240\/400?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 7 - 29 + 22.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 11*a**2 - 19*a + 9. Let i be z(9). Let j be 6\/12*i\/(-2). Suppose j = -3*m + 19 + 227. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49bba1 - -15?\nAnswer: 49bbb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*n - 246*n = -2241 + 7698 + 31437 for n.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - 1) + (-12 - (32 + -61))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) -2 (c) 0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 31 = 189. Suppose -270 = -10*i - r. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -23*l**2 - 9*l - 53. Let j(v) = 27*v**2 + 7*v + 64. Let k(t) = -5*j(t) - 6*m(t). Let z(b) = b**2 - b. Calculate k(i) - 2*z(i).\nAnswer: i**2 + 21*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 724 and 380.\nAnswer: 68780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23477 - 40734.\nAnswer: -40733.76523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-1\/3))**(20\/7)\/(f*(f\/f**(-2\/5)*f)\/f)**2*f**(-1\/4)*f*f*f**(-4)*f**(-5)\/(f*f*f**3*f) assuming f is positive.\nAnswer: f**(-5581\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(5) + -3 - (3 + (sqrt(2) - (-1 + sqrt(2)))).\nAnswer: -7 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13775 at most 6988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 16*v - 5*v + 9*v - 18. Let u be y(-10). Find the second derivative of -18*r + 6*r + 4*r - u*r**5 wrt r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 71, 66, 59, 50, 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a - 157539 = 3*a - 158099 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 6*f - 24. Solve 7 = -f*h + 2*x, -3*h - 5*x = 2*h + 45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 71.3. Which is the closest to 1? (a) -2\/13 (b) -19 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*s - 3 = 0, c + 23 = 2*s - 6*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 8272\nAnswer: -1\/8272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73 - 127) + (115 - 90)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4312 (b) -0.5 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -43. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let s(r) be the first derivative of -5*r**3\/6 + 2*r - 2. Let b(z) be the first derivative of s(z). Calculate v(b(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 134*k - 156*k + 374. Solve -5*a + 9*a + u - k = 0, 1 = a - 3*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 50. Suppose -c*w - 25 = 5. Is w less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5490441 and 77.\nAnswer: 38433087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3131038496, -3131038492, -3131038486, -3131038478, -3131038468, -3131038456?\n\"Answer: k**2 + k - 3131038498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(7\/((-280)\/65)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2, -0.06 in descending order.\nAnswer: 24, -0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*c + 338 + 74*c - 335 + 18*c + 59*c as q + l*c and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (4 - (-1 + 3)) + 1 - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106673289*c**3*g + 360*c**2*g + 2899*c*g - 3*c wrt c?\nAnswer: 640039734*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**5\/20 + g**4\/3 - 2*g**3\/3 - 2*g**2 + 106*g. Let v = 8 - 13. Give h(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 7*t**2 + 4. Let c be q(-7). Suppose -4*n + 3*x + x = 4, c*x - 4 = 0. Solve -2 = 2*g - n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142460653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 16*a**2 - 11*a + 7. Let y be 6\/14 - 18*24\/28. Let b be k(y). Let f = 54 + b. What is the lowest common multiple of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5291*h - 21276. Calculate p(-4).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10489.\nAnswer: 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, z: 3, p: 1, v: 2, j: 3, l: 1}. What is prob of sequence rlzv?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -21. 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: Solve -6 = 3*x - 2*u + 5, -5*x - u - 27 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607957139?\nAnswer: 199, 1597, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 7 = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*c**3 - 4 + 6*c**3 + 2 + (4*c + 0*c - 3*c)*(-1 - c**2 + 1).\nAnswer: -9*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 80*w**2 - 29. Let l(i) be the second derivative of -40*i**4\/3 + 59*i**2\/2 - 16*i. Let p(q) = 5*g(q) + 2*l(q). Differentiate p(z) wrt z.\nAnswer: 160*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15007*w - 15636*w = -26418 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1836234132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d - 48*d - 16*s = -87*s + 140, -4*d + 5*d + 3*s = 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from orrrrroorrfroforuf.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36550*b - 11364*b - 2284*b.\nAnswer: -50198*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 138618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = c + 3*f + 2*f, 0 = -4*c + 3*f + 221. What is the remainder when 110 is divided by c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547419 smaller than 1547420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114259, 114256, 114253, 114250, 114247?\nAnswer: 114244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59977\/18 + 3331. Calculate the common denominator of 91\/32 and t.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 49930 = -5*h, h = -x - 2*h + 9980. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1810 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - -3) + 6 + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*x**4\/3 - 8*x**3.\nAnswer: 4*x**3*(5*x - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, x: 1, o: 1, t: 1, d: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24786352.\nAnswer: 2, 487, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q + 39. Calculate l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -61 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 106*o = -200*o + 99*o - 274, 0 = 4*a - 2*o + 5*o + 90 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -13 - ((-37 - -87) + -40).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 97. Let w = 13.3 + o. What is the nearest to 2\/11 in w, 1.3, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from eiizziiaoo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((((sqrt(216) - (sqrt(216) + sqrt(216)*-2))*-3 - sqrt(216)) + sqrt(216))\/sqrt(8))\/(((sqrt(315)*1)\/sqrt(7))\/sqrt(5)))**2 + 1) + -1.\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -u - 2*j, 3*j - 2 = 4*u - 16. Suppose 10 + u = -5*s. Which is the closest to -1? (a) s (b) 11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2578*d + 33952 = -2140 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 143121760 to the power of 1\/2, to the nearest integer?\nAnswer: 11963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10656899 - 13?\nAnswer: 10656886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5*z - 8*b**5 + 2*b**2*z + 2*b*z - 844*z wrt b?\nAnswer: -20*b**3*z - 160*b**3 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24541?\nAnswer: 11, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. What is the third derivative of 7*f**2 - 5*f**h + 0*f**5 + 0*f**5 - 2*f**5 wrt f?\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/((4 + -3)\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 + 4*c**4 - 2*c**4)*(-6*c + 15*c + 2*c) + 2*c**5 - 15*c**5 - 12*c**5 + (-c + 0 + 0)*(2*c**4 - c**3 + c**3).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = -2, -4*z = 3*l - 5. Let q = 4 + -3. Suppose -j + w - 15 = -4*w, 3*w - 11 = j. Sort q, z, j.\nAnswer: j, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -10, -72, -17 in decreasing order.\nAnswer: 3, -1, -10, -17, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.34449 - 0.5.\nAnswer: -9.84449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 447*y**2 - 3*y + 3. Let j(o) = -5365*o**2 + 35*o - 35. Determine -70*d(v) - 6*j(v).\nAnswer: 900*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 - 89. Solve -11 = h + 4*f, 4*f = -3*h - f - z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15656*a**3 + 7*a**2 - 7829*a**3 - 7826*a**3 - 2*a**2.\nAnswer: a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 6, l: 4, i: 4}. Give prob of sequence llji.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1)*(-447*z + 614*z - 2191*z).\nAnswer: 6072*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 327660575 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1344*c. Let b(d) = -d. What is u(b(n))?\nAnswer: -1344*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 15*g + 9*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109.5*-11.9.\nAnswer: -1303.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 - 2*k + 2*k + (-2 + k**3 + 2)*(0*k**2 + 5*k**2 - 4*k**2) + (2*k**5 + k - k)*(2 - 12 + 6) - 419*k**5 + 896*k**5 - 331*k**5.\nAnswer: 137*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 986*y**3 + 312*y**3 + 145*y**3.\nAnswer: 1443*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-1\/43)*(((a\/a**(-2\/3)*a)\/a)\/a)**(1\/7))\/(((a\/(a*a*a\/((a*a*a\/a**0*a)\/a)*a*a))\/a*a)**15*(a*a**4\/a)\/(a\/((a\/a**4)\/a))) assuming a is positive.\nAnswer: a**(14513\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (4 + (sqrt(272)*2 + sqrt(272))**2 - ((0 + sqrt(272))**2 + -4))).\nAnswer: -8736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2. Let i(s) = 7*s - 40. Let p be i(4). Let o(b) = -b + 1. Let w(c) = 12. Let t(l) = p*o(l) + w(l). Give m(t(v)).\nAnswer: -432*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*b = 4*y - 21, -2*b - 2 = -2*y. Let r(q) = -7 - 27*q + 7*q + 9*q. Let a(x) = 17*x + 11. Determine y*a(o) + 8*r(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 184, 290, 420, 586, 800, 1074, 1420?\n\"Answer: 2*o**3 + 92*o + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7082, -7228, -7472, -7814, -8254?\nAnswer: -8792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3*f + 5*c**3 + 2*c**2*f + 60*c**2*u - 4*c*f + c*u + 8*f*u - 3*f + 2*u wrt c.\nAnswer: -18*c*f + 30*c + 4*f + 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**3\/3 + 38. Let o(z) = -2*z**2 + 12*z**2 + 0*z**2. Calculate b(o(m)).\nAnswer: 100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3\/7 (c) -2\/7 (d) 1491\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -63 - (14 + -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2858319614?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 151.8837 * 192\nAnswer: 29161.6704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 949016313 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let t = -0.8 + 5.8. Which is the second biggest value? (a) w (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*u**2 + 5 + 12 + 8 - 19 to v + d*u + i*u**2 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(459*c - 3 - 464*c - 162)*(3 + 5 - 7).\nAnswer: -10*c - 330","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 568, 1029, 1774, 2803, 4116, 5713?\nAnswer: 7594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**1\/v)*v\/(v*v**(-1\/10)) assuming v is positive.\nAnswer: v**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 62 (b) 4 (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (594\/(-4))\/11*5832\/729?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 7*f**2 + 1. Let u(p) = -5*p**3 - 18*p**2 - 4*p - 2. Give -3*m(g) - u(g).\nAnswer: 2*g**3 - 3*g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/27*11\/44.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 3*d - 2. Let f be m(3). Let c be (f\/(-10))\/((-4)\/(-40)). Suppose -k + 3 = -c. Solve -k*w + 2 = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39794 (base 10) to base 14\nAnswer: -10706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1. Let c(m) = -6 - m + 2*m - 4*m. Let b(t) = -c(t) + 6*k(t). Let j(w) be the first derivative of -17*w**2\/2 - 82. What is j(b(n))?\nAnswer: -51*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-272))\/(33\/16896)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3034.\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Sort -44, -2\/3, 2\/5, u in descending order.\nAnswer: u, 2\/5, -2\/3, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 23*w - 3465 = -18*w, 2087 = 3*v - 5*w. Does 53 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5 - 128*u**4 - 8154*u**3 + 10760*u**2 + 164800*u = 0 for u.\nAnswer: -40, -4, 0, 5, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 13*k**7\/210 + 7*k**4\/8 - 155*k**3 - 769*k**2. What is the derivative of q(r) wrt r?\nAnswer: 52*r**3 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - -12. Suppose 6*m + 5 = j. Suppose 8 = 2*h, -2*f = -5*f - h + m. Solve -4*q - 5*g = q + 50, f = 3*q - g + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1)*p))\/(p\/p**33)*((((p*(p*p**(-6)\/p)\/p)\/p)\/p)\/p)**45 assuming p is positive.\nAnswer: p**(-372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6*h = 83. Let g = 11 + h. Suppose -2*p = -3*p - 14*p. Sort p, g, -1.\nAnswer: -1, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**2 + 49*t**2 - 24*t**2 - 11*t**2 - 4*t**2 - 10*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**2 - 130*v + 8835 = 0.\nAnswer: -57, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6325 (base 10) to base 8\nAnswer: 14265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*h + 2*h. Let a be 3 + h + (-2 - 2). Let t(o) = -o**3 - o - 168*o**2 + 174*o**a - 5 + 13. Give t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -20 + (-8 - 8 - -16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 6*w**2 - 5*w - 8. Let o be b(4). Suppose -g - 3*y + 15 = -6*g, -o*g = 3*y - 15. Is 7 a factor of g + 35 + -2 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*j + 28, -2*x + 0*j + 2*j + 12 = 0. Suppose -11 - 13 = -x*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 86233398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + x - 10)*(0 + 0 + x) in the form z + w*x**2 + g*x and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73\/130 + -1\/26. Let v = 0.7336 - 1.7336. Which is the biggest value? (a) t (b) v (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/(-36) + -2 - (-2196)\/81. Let i be (-3 + -24)\/(2\/(-6)). What is the greatest common factor of v and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 16*l = 12*l + 12, 0 = -2*i + 2*l + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(-1\/2)))**(1\/2)*i**(-1\/4)\/(i\/i**(-4)) assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300060*w = 300267*w - 7452 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79897*p = 80121*p + 5152 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/9)\/((-16)\/1344). Solve -11*a + 50 - s = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-8)*(-1 - 5). Let k be (16\/6)\/((-28)\/x). Suppose 24 = k*g + 2*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.7 + -74.3. Let w = -67 - n. Put -1\/6, w, -3 in decreasing order.\nAnswer: -1\/6, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/52 - (-294)\/(-1911)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 9. Let v be h(-3). Let j(r) = -2*r**2 - r. Let d be j(-3). Let b be 7600*(4*d)\/v. Round b to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31749 = 731*i + 3971 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(1584))\/sqrt(4).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196795*n*u**3 + 2*n*u + 2*n - 2*u**5 + 3*u + 48640 wrt u.\nAnswer: 1180770*n*u - 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 5*l**2 - 8*l - 4. Suppose -30 = -v + 4*v. Let t = v - -5. What is the tens digit of z(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, 96, 228, 358, 486, 612, 736?\n\"Answer: -c**2 + 137*c - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -p + 3*p - 5*j, -14 = -p - 5*j. Let d = 0 - p. Let h = -0.65 - -0.15. Which is the nearest to d? (a) h (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 - 34*v**2 + 112*v + 407. Determine u(-20).\nAnswer: 8567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**5\/10 - b**4\/6 + 8*b**2 + 19. Let c(d) be the second derivative of v(d). Let f(p) = -2*p**2. Determine c(f(n)).\nAnswer: -24*n**4 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 364112?\nAnswer: -1456448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-644)\/23 - -10)\/(2 - -9*1). What is the fourth smallest value in m, 0.4, -2.4, -1\/4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h - 2531*h**3 - 59*h**2 + 8*h - 2*h**4 + 2532*h**3 in the form j*h + g*h**3 + y*h**4 + a*h**2 + v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-7)*l)\/(l*l**6))**(-2) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*q - 120*q = -5*p - 35, -3*p = -5*q + 29 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42051454.\nAnswer: 2, 71, 296137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0387 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30465, 60931, 91397, 121863, 152329?\nAnswer: 182795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -854*f. Let r(x) = -247195*x**2. What is t(r(p))?\nAnswer: 211104530*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/5299 - -16656\/5299. Let g = -149\/35 - d. Calculate the common denominator of -63\/4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 228, 473, 816, 1263, 1820, 2493?\nAnswer: 3288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -g + 17, 0 = -3*l + 5*g - 208 + 192. Solve 2*n - 2*k = 2, 0 = -4*n - l*k + 12 + 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/23 (b) 3 (c) 3116 (d) 0.2 (e) 2\/17 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1784798 - 55?\nAnswer: 1784743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 13 = -3*w, -5*w - 11*g + 20 = -16*g. Let b be (-25)\/(0 - 5)*w. Let p be (-2 - (-7)\/2)*2. Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.064737 micrograms in kilograms?\nAnswer: 0.000000004064737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 4, k: 2}. What is prob of sequence xkp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 3, k: 1, l: 3, h: 3, t: 8}. What is prob of picking 1 j and 1 d?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.57196l in millilitres?\nAnswer: 33571.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3452967, 13811882, 31076741, 55247544, 86324291, 124306982, 169195617?\nAnswer: 220990196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77*4*15\/420.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/3 - 1)*(1 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/2720*-17)\/((-64)\/(-40)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61073009539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - y**3 - 3*y**3)*(310*y**2 - 4592*y + 4592*y + 11).\nAnswer: -620*y**5 - 22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2416 = -573*q - 25336 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 136960 to the nearest 1000.\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-15))\/(13\/(-3))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9004, 5, -4 in descending order.\nAnswer: 9004, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/7))**12\/((f**(-9\/8)*f)\/(f\/(f**(4\/11)*f*f))))**24 assuming f is positive.\nAnswer: f**(879\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 23*r + 645 - 645. Let b(g) be the second derivative of -g**4\/6 - 9*g. What is a(b(w))?\nAnswer: -46*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s + 857 = 2*c, 2*c - 865 = -5*s. Let y = -254 + c. What is the highest common divisor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/37, -6\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**5\/24 - h**3\/3 + 9*h**2. Let t(i) be the first derivative of f(i). Let d(x) = -3*x. Determine d(t(y)).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1a0210 (base 11) to base 4\nAnswer: -1023020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -472 + 752. Suppose -64 = -d + 4*h, -4*h - j = -2*d - 2*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9882 and 436104?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (340 - 308) + ((-8208)\/15)\/19?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3 = s, 3*v + 3*s - 3 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)*b*b**(-4)*b**(3\/2)*b*(b**(12\/7)*b)\/b*b assuming b is positive.\nAnswer: b**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2. Suppose -14 + 6 = 2*y. Let v be (-10)\/y - 1\/2. Let h(w) = w**2 - 3*w**v + 3*w**2. Determine h(x(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109397, -218035, -326673, -435311, -543949, -652587?\nAnswer: -761225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-30))\/(((-225)\/(-4500))\/(1\/12)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((0 - (-12 - -5)) + 3) - -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8835 is divided by 1010.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -373387, -373394, -373401, -373408, -373415, -373422?\n\"Answer: -7*h - 373380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - l = 10, -4*s - 3*l = 7 - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 142 = 5*s - 5, 0 = -3*s + 2*a + 92. Let n = s - 21. Let y = 15 - n. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*u)*(-3 + 8 + 0)*(0*u + 2*u - 4*u) to a + n*u + b*u**2 and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 31*f - 50. Solve 0 = 4*h - f*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**4 - 4*g + 6. Let x(r) = 3*r**4 + r**3 - 8*r + 11. Let n(q) = -4*x(q) + 7*z(q). Factor n(f).\nAnswer: 2*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8554 + -8554. Let b(i) be the third derivative of 0*i + v*i**4 - 1\/20*i**5 + 1\/2*i**3 + 0 - 21*i**2. Factor b(y).\nAnswer: -3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636132689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 16) to base 6.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 777258.9mg in grams?\nAnswer: 777.2589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*u = -22657, 3*j + j = 4*u - 90616. Let g = j - -15651. Let t be g\/(-2)*(-7400 + 0). Round t to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/6 and (-2)\/(-9) - (61542\/17172)\/13.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l**3 + 44*l**2 + 21*l + 56. Let w be a(-6). Let h be (-8)\/(-10) - (-2)\/(-5). Sort -13, w, h in decreasing order.\nAnswer: w, h, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422 (base 13) to base 8\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11454121 to the nearest integer?\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9690591? (a) 4 (b) 1 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4440234113 (base 5) to base 15.\nAnswer: -cb7e08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.201495ns?\nAnswer: 0.00000000000335825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 5*n - 3*b + 132, -5*b = -2*n - 21. Solve -5*j - 15 = w - 10, n*w - 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -3\/4 (b) 9.74 (c) 0.1 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*r**4*w**2 + r**4*w + 285*w**2 with respect to r.\nAnswer: 40*r**3*w**2 + 4*r**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-5) + 2\/(-10). Solve 0*l - j = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 8:15 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = w - 324. Suppose -3*y + 7*m - 825 = 4*m, 5*y + 3*m + 1375 = 0. Let p = w + y. What are the prime factors of p?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 + 84*s + 24. Is w(-22) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 8, 14*k - 16*k = 5*l + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.81951 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -27, -23, -19, -15?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*a + 12 = -11, -2*i = -4*a + 86. Let l = i - -93. Suppose 5*v = l + 2. Are v and 13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + s - 12. What is the tens digit of w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2542 smaller than -2541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*i**2 - 163*i**2 + 510*i**2 - 85*i**2 as d*i + y + a*i**2 and give a.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*c**3 - 121*c**3 - 113*c**3 - 120*c**3 - 117*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 21 - 582552*z - 7 + 582554*z.\nAnswer: 2*z + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -564275\/142779 - 2\/6799. Let f = 10\/223 + 1381\/4014. What is the common denominator of p and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 + 2*t + 1. Let g be r(2). Let f(d) = d**2 - 7*d - 40. Let h be f(11). Calculate the remainder when 19 is divided by h\/14 + (-75)\/g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*t**2 - 126*t**2 - 109*t**2 in the form l*t**2 + i + c*t and give l.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4436 (base 14) in base 8?\nAnswer: 27040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + k**2 + k + 1. Let o(r) = 11*r**3 - 8*r**2 - 5*r - 6. Give -o(y) - 6*w(y).\nAnswer: -5*y**3 + 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-2)\/(-5 + 3). Let x be (1*(f - -1))\/(-1). Solve -5*t - 2*o - 3 = x, -2*o + 6*o + 19 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b + 6*b - 5*b + b - 12*b - 32*b + (7*b - 4*b + 2*b)*(-4 + 0 + 5 - 2 - 5 + 5 + (-3 + 1 + 0)*(0 + 1 + 1) - 3 - 2 + 7).\nAnswer: -47*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1044 = -10*y + y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111111111 (base 2) in base 15?\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**3 - 399*g**2 - 11970*g - 91368 = 0.\nAnswer: -94, -27, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*i + 463 + 7 = -608*i + 42 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 - -0.09. What is the nearest to -3 in m, 5, 3\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 1, m: 1, j: 1, w: 3, o: 3}. What is prob of picking 1 m and 1 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*h - 12 = 0, 6 = h - 4*h. Let m be (2\/8)\/(1\/20). Suppose m*v = -o + 7, -3*v = v + 5*o + 7. Solve 0 = p*w + 5*u + 12, w + v*u - u = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3131841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 28*y**2 - 171*y - 121. Determine a(-7).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 46419 - -3\nAnswer: 46422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29614478111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + o - 4. Let w(d) = -d**2 - d - 1. What is k(i) - 2*w(i)?\nAnswer: -2*i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 44 = 2. Let m be (-2)\/v*(-5 + -1). What is the closest to 0 in -4, m, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15864458221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 33014 + 30685 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*f**2 + 70*f**2 - 256*f**2 + 40*f**2 + 73*f**2 + 120*f.\nAnswer: f**2 + 120*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 - 17 - (15 + (-37 - -11))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*b - 1 = -2*b, 3*t = 5*b + 8. List the prime factors of (2 - -11)*1\/t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -9 + 2 + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -31078?\nAnswer: -1553.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18896 and 235.\nAnswer: -18661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*y = 7, 3*y = -a + 6*a - 1. Let n = -96 + 178. Let p be (-2)\/8 - n\/(-8). What is the greatest common factor of p and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455402699 to the power of 1\/2, to the nearest integer?\nAnswer: 38150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7009.96 - 7010. What is the closest to x in -51, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23930 + 16549. Let k = n + 103289\/14. Let u = 87683\/15218 + 26\/1087. Calculate the common denominator of u and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/50 and -38\/1828455.\nAnswer: 18284550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10877 - 11217. Do n and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 3\/((-15)\/(-2)). Let u be (-4)\/(-6) - (-100)\/(-6). Let k = u + 11. Put i, k, -2\/9 in decreasing order.\nAnswer: -2\/9, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103982, 416101, 936306, 1664597?\nAnswer: 2600974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -4, 68?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1000110010010100 (base 2) to base 10\nAnswer: -35988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -6. Let g be (x - 0) + 21\/(-15). Are 0 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 1001110101?\nAnswer: -1001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -620958 or -620940?\nAnswer: -620958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10865 divided by -5.\nAnswer: -2173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 9. Let d(c) = 4*c - 7. Let b(g) = -g - 1. Let a(n) = -3*b(n) - d(n). Let t be a(3). Determine l(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.6 + 15.4. Let q = -23 + m. Let y be -3*(-4)\/(12*5)*1. Which is the closest to y? (a) q (b) 6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53 and 11?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 37. Let j(f) = -47*f - 6. Let n be j(z). Let u = n - 214. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*i + 241*i = 130*i - 35287 for i.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypupyuoppuz. What is prob of picking 2 u, 1 p, and 1 o?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o - 736. What is p(0)?\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:35 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -298585 at least as big as 2\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9*i + 18 = 0. Suppose 3*c = 2*v + 1104, -9*c = -4*c + i*v - 1859. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2395, -4783, -7183, -9601, -12043, -14515?\nAnswer: -17023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16490 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o + r + 28, -2*o = 2*r + 24. Let z(j) be the first derivative of -j**2\/2 - 4*j - 1. List the prime factors of z(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22121002222220 (base 3) in base 7?\nAnswer: -53555436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 9 - 12 = 0. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, p: 3}. What is prob of picking 1 r and 2 p?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(3177\/(-396) - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 554956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(1 + sqrt(1700)) + (4*(sqrt(1700) + sqrt(1700) + sqrt(1700) + -1) - (sqrt(1700) - (sqrt(1700) + 0 + sqrt(1700)))*-6)**2 + -2.\nAnswer: -730*sqrt(17) + 61189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {k: 4, i: 1, w: 2, j: 2, h: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 1:47 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 9:34 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/3 (b) 4 (c) 2.9 (d) -0.004 (e) 3 (f) 34\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 24, -0.1, 0.519, 0.04, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/2184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 45 = 6*g. Let m = 21 - g. What is the least common multiple of 4 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 + -154. Put -0.3, 0.3, s in decreasing order.\nAnswer: 0.3, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73250\/17 - -4309. Which is the fourth smallest value? (a) 1 (b) -5 (c) x (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44008 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 8849, -0.31, -0.5, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 57\/15 + 3\/75*5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2417*q + 17. Let n(h) = -600*h + 4. Give -9*n(l) + 2*p(l).\nAnswer: 566*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 12:51 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -46, -73, -138, -253, -430?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737629 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/20 - p**4 - p**3\/6 + 8*p**2 + 3*p. Let u be s(12). Suppose -u*w = 2 + 6, -h + 22 = -4*w. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-11)\/d**(-4) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - 122?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 10*c - 39. Let z be (9 - (0 - -1)) + -21. Let t be n(z). Let m(l) = -l**2 + 5*l - 5. Give m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 6. Let o be (-6)\/n*232\/(-6). What is o rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-91 + 27 + (15 - 8 - 14)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-12)\/(-180)*9))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31462007?\nAnswer: 31462007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 38 = -4*d, 18 = -7*b + 9*b + d. Let v = -8 - -18. Calculate the least common multiple of b and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329.51473 rounded to zero dps?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 29844.1 and 0.\nAnswer: 29844.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 7*h**2 + 3*h + 2. Let f be l(6). Let b = f - -36. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202\/4 + 6\/(-12) - 4 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o - 24*o - 10 + 11*o)*(4 - 3 + 0).\nAnswer: o - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8257 and 229954?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-4))\/1328*4\/8*-8.\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.78012418 rounded to 1 decimal place?\nAnswer: -20.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - (-6)\/10*-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1057160 and 494.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11*b**7*b)\/((b**(-2\/43)\/b)\/(b*b\/(b\/(b**(-3\/7)\/b*b))*b*b*b)) assuming b is positive.\nAnswer: b**(7109\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*g - 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 147\/14*(-76)\/6. Let f = p + 411. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -548, -4, 1, -3.\nAnswer: -548, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010111001110010001 + -100?\nAnswer: 1000010111001110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1149491801*v**3 + 286547566 wrt v?\nAnswer: 3448475403*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1204 - 1204 = 250*x. Factor b**2 + 7\/5*b + x.\nAnswer: b*(5*b + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/4)\/(16\/(-1))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 815302911 to the power of 1\/2, to the nearest integer?\nAnswer: 28554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740 a factor of 5432560398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f1b + a07?\nAnswer: 3922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 3, 0.3, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 5:28 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + 2.99. Let h = -98.977 - -102.8. Let y = -0.177 - h. Which is the second biggest value? (a) y (b) -2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -1, -5, 3, -15, 0.016, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 23*w**2 - 12 - 3.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let x(u) = 2*u - 1. Let c be (-63)\/(-7) + (0 - 4). Determine c*s(k) + x(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-98)*1694\/1452.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/15 - (2 + (-2504)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360 - a**2 - 1563 + 0*a + 2*a.\nAnswer: -a**2 + 2*a - 1203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 342 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 399535611.7 rounded to the nearest one hundred thousand?\nAnswer: 399500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 21*g**2 + 23*g - 19. Let u be t(22). Factor -4\/7*w + 4\/7*w**u - 2\/7*w**4 + 0*w**2 + 2\/7.\nAnswer: -2*(w - 1)**3*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4165 = 5*y - 5*k, 2*k = -6*y + 3*y + 2509. Suppose 7 = 5*j + 22, 3*j + y = 2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 less than -19.39?\nAnswer: -22.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 5*x - 8. Let n(m) = -2*m**2 - 4*m - 7. Let v(h) = 4*h + 1. Let d be v(1). Let q(w) = d*n(w) - 4*p(w). Differentiate q(u) wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(4 + 817\/(-209)). Let j(m) = m**2 - 1. Let i be j(-2). Suppose i + 0 = n. Which is the biggest value? (a) n (b) t (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 8*l**2 + 5*l - 79. Calculate the remainder when 8703 is divided by t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 1005, 3343, 7875, 15327, 26425, 41895?\nAnswer: 62463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*p + 4*d, -28*p + 5*d + 6 = -26*p. Suppose 0 = -q + 11 - 10. Put -48, p, q, 4 in increasing order.\nAnswer: -48, p, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4875802?\nAnswer: 2, 41, 97, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-147)\/(-6))\/(-7))\/(4\/6)*(-1020)\/85?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.39 + 0.01. Let z = 0.81 - 0.84. Put n, z, 3 in ascending order.\nAnswer: z, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -19. Suppose -a*s + 12 = -3. Suppose s*d + x = -x + 355, d - x - 64 = 0. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o + 1. Put 0, -15, o in descending order.\nAnswer: o, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008953523959 to seven dps.\nAnswer: -0.0008954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37142 is divided by 130?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -240 - 3?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20301 (base 4) to base 2\nAnswer: 1000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84)*2 - sqrt(84))*5 + sqrt(84) + sqrt(84))\/(sqrt(540)\/sqrt(5)) + ((5*2*sqrt(343))**2 - sqrt(343) - (-5 + sqrt(343) + 0)) + -5.\nAnswer: -34*sqrt(7)\/3 + 34300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29592, 29615, 29666, 29763, 29924?\nAnswer: 30167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72183, 288728, 649637, 1154910, 1804547?\nAnswer: 2598548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/130042 and 103\/68.\nAnswer: 4421428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -15*m**2 - 61*m - 18. Let t(x) = 13*x**2 + 62*x + 19. Let a(r) = -7*t(r) - 6*z(r). Find the first derivative of a(p) wrt p.\nAnswer: -2*p - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -515677\nAnswer: -464109.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -1\/5 (b) 4 (c) 2\/17 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 0.7 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.26 * 4.\nAnswer: 41.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97 - 0.697.\nAnswer: -97.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) -14 (b) 2\/5 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 57*d + 86. What is q(4)?\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -633*v**5\/5 + v**4 + 5*v**3\/3 + v**2 - 7*v - 2677. Find the third derivative of t(y) wrt y.\nAnswer: -15192*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 8*z**2 + 6*z - 2. Give c(8).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*85\/(-3536)*-4*9\/15?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 385*j - 21078. Calculate d(64).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 - 127 = -5*a, -3*a + 4*k = -91. Let h = a + 6. Calculate the remainder when h is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -28. Let z = h - 12. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. Let l = 8440 - 92838\/11. What is the nearest to -1 in -0.85, w, l?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 - 331*s + 851. Determine r(55).\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 768410\/55 - (-36)\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9657 = 197*f - 206*f. Let z(u) = 2179*u**2 - f*u**2 - 1075*u**2. Let b(a) = -5*a**2. Give z(b(g)).\nAnswer: 775*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1328484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 193. Let k = v + -54. What is the smallest common multiple of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -3*d**4\/2 - d**2 + 18. Let q(c) = 13*c**2. Give x(q(k)).\nAnswer: -468*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, 68, -4, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20634 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -5*d**3\/3 + 2848. Let x(r) = 169*r**2 - 1. Give c(x(h)).\nAnswer: -142805*h**4 + 1690*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1001 + 3241?\nAnswer: 4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 732334944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 3*k - 3. Suppose 3*y = 11*y - 40. Let x(d) be the first derivative of -2*d**3\/3 + 3*d**2 + 6*d - 3. Let j(t) = y*f(t) + 2*x(t). What is j(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tip when three letters picked without replacement from pitzztz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1145200 and 232?\nAnswer: 33210800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 42, 4, 0, -1, 38, 2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 - -104. Let b(y) = 4*y - 3. Let s(x) = 5*x - 4. What is q*s(g) + 3*b(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0934 + -66.8566. Let t = s - -77. Let o = -3.05 - t. Round o to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*r**4\/4 - 75*r**3\/4 + 261*r**2\/4 + 675*r\/4 - 81\/2 = 0. Calculate r.\nAnswer: -3, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16507058?\nAnswer: 2, 47, 67, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -2, -14, -4, -5, 1, -40 in descending order.\nAnswer: 1, -2, -4, -5, -14, -40, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 452866819 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 10. Let x(j) = -3*j + 10. Let v(w) = -6*f(w) - 5*x(w). What is the remainder when v(-8) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 6, v: 4, i: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*g = -735, -3*v - g + 728 = -1532. Suppose 5*m - v = -4*x - 0*x, 3*m - 490 = 5*x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 10:40 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/(3\/(-30)). Let c = 0 + -5. Suppose -y + 0 = 3. What is the nearest to 0.1 in o, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3911 > -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 779057215 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:20 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.1407.\nAnswer: -0.01407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -618, -660, -702?\n\"Answer: -42*k - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 11:53 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 10*w**2 + 10*w - 21. Give q(10).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 5*f - 4. Let k be t(-6). Suppose -4*y + 123 = -5*i, -2*y = -3*i - k*i - 49. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 162? (a) -0.2 (b) -3.52 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1316 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v + 4. Let f be g(2). What are the prime factors of (-81)\/(-4) - (-2)\/f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -106.5, -106, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -245\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/2 (b) -1\/3 (c) -2\/7 (d) -4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236\/29, -20, -0.051 in decreasing order.\nAnswer: 236\/29, -0.051, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-244)\/(-36) + 4\/18. Suppose 75 = -2*t + v*t. Suppose 3*g - 96 = -t. What is the remainder when 80 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 2014, 5302, 10112, 16444?\nAnswer: 24298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/9 (b) 1\/4 (c) -4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 179 and -11564?\nAnswer: -2069956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9453, -0.19, 6?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 42 = -7*p - 3*t, p + 12 = 3*t. Let k be (-1)\/(3\/p) - -1. Suppose 0*s - 4*s + 9 = o, k*o - 3*s = 36. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let b = -30 + 28. Let x(h) = 9*h**2 + 19. Let n(c) = b*j(c) - 2*x(c). What is the first derivative of n(t) wrt t?\nAnswer: -32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 848 * -36.04.\nAnswer: -30561.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -211233 + -1522?\nAnswer: -213055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/7, 211245, -5, 0.2 in ascending order.\nAnswer: -5, -0.2, 0.2, 3\/7, 211245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57, 105, 193, 327, 513, 757, 1065, 1443?\n\"Answer: z**3 + 14*z**2 - z + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5. Suppose 3*r + 2892 - 2898 = 0. Suppose 0 = 2*h - 2 - t, 482 = r*s - 2*h. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17\/93 + -1\/62. Let t(f) be the second derivative of -1\/12*f**4 + 0 - j*f**3 + 1\/20*f**5 + 1\/2*f**2 - f. Factor t(m).\nAnswer: (m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1884257.84 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5796.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**19*(((((b*b**(21\/2))\/b)\/b)\/b)\/b)\/b)\/((b\/(b\/b**(-26)))\/(b**(-4)\/b)))**(-1\/23) assuming b is positive.\nAnswer: b**(-95\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8890601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314816 divided by -78704.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-46870)\/28122*(-3)\/3*(-51)\/(-1))\/(-1)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12721978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10179798 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsqqsqssqqqsqssqqqq. Give prob of sequence qqq.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**4 - 128*r**3 + 128*r**3 - 2*r)*(-2 - 1 + 7).\nAnswer: -28*r**4 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1144803*j**6 + 28*j**4*n - j**3*n - 4*j**2*n + 316232*j**2 + 41*j*n - 2 wrt j.\nAnswer: 137376360*j**3 + 672*j*n - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, r: 2}. Give prob of sequence rrt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937831200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10535 or 21071\/2?\nAnswer: 10535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*a*c + 1933*a - 266417*c wrt a?\nAnswer: 45*c + 1933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 3:21 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k - 7. Let y(i) = 4*i - 7. Give -5*f(g) + 6*y(g).\nAnswer: -g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1743249960 to the nearest 1000000.\nAnswer: 1743000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -547 times 0.7\nAnswer: -382.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 556*s - 5. Let f(r) = 556*r - 6. Calculate 3*f(h) - 4*v(h).\nAnswer: -556*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45)\/63*(-7)\/(-2). Let q = -205 + 223.6. Let d = -19 + q. Sort d, 0, -1\/2, c.\nAnswer: c, -1\/2, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1064 and 739176.\nAnswer: 5174232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 + 1432*x**4 - 141336*x**3 + 2298400*x**2 - 114244*x - 115843416 = 0.\nAnswer: -6, 13, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140035 is divided by 28006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:55 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 399110886 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432366 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1225\/102 - -1912639\/159256. Let g = 20206769\/196728 + t. Let n = g - 103. What is the nearest to -0.2 in 4, 0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + 4 + 1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-276)\/12 + 461)\/((-4)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2 (c) -0.4 (d) 7.4 (e) -234\/85 (f) 5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.97 times 10.42?\nAnswer: 10.1074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 428088007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*(f**(-36)*f*f)\/f*(f**(4\/3))**(-48))**(-6) assuming f is positive.\nAnswer: f**594","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {c: 5, d: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2. Let v(d) = 10*d**2 + 7*d. Let i(m) = -7*m**2 - 5*m. Let w = -10 + 8. Let u = 3 - w. Let t(q) = u*v(q) + 7*i(q). Calculate b(t(c)).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:26 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011713798 to five decimal places.\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -340. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 3*j + 3. Let f(c) = 2*c + 2. Let q be (-5 - 1)*(-5)\/15. Let n(x) = q*k(x) - 3*f(x). Let p(z) = -7*z**2 + 42 - 11 - 31. Calculate p(n(g)).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*d + 62961 = -601*d - 4*d - 757*d for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59921509?\nAnswer: 23, 443, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2*n - 5. What is the remainder when b(-8) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 484 - 484. Suppose f = -52*k + 344 + 124. What is the smallest common multiple of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-13 - (-21 + 4) - -27).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10796, -42762, -96022, -170570, -266400?\n\"Answer: a**3 - 10653*a**2 - 14*a - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12982b (base 12) to base 14.\nAnswer: 7dc79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-30))\/(4\/370). Let z = 28 + u. Which is the biggest value? (a) 2\/3 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 7. Find the second derivative of -36*m**y + 4*m - 9*m**4 - 19*m - 18*m wrt m.\nAnswer: -540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*f - 3*f - 28, -5*f = 3*b - 140. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96810.03 grams in nanograms?\nAnswer: 96810030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*k = 0, 6*u - 10*u + 3*k + 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -662*z**4 + 2*z - 167 wrt z?\nAnswer: -7944*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 15) in base 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9922958, 19845916, 29768874, 39691832, 49614790?\nAnswer: 59537748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 1. Let z(k) = 8*k + 21. Calculate 5*u(p) + z(p).\nAnswer: 3*p + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpzxzxqz. What is prob of sequence zxp?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6610 - -1126.404246\nAnswer: -5483.595754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5176501ns in weeks?\nAnswer: 0.00000000000000416278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 15. Let n be u(14). Calculate the highest common divisor of n and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18526, 37037, 55548?\nAnswer: 74059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - 80\/(-6). Let x be (0 - -1)\/(2 - j). Which is the closest to -1\/2? (a) -0.4 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 3*t. Suppose p - 3*n + 13 = 2*n, 2*p + 4*n - 2 = t. Let i = p - 2. Put 3, i, 0 in decreasing order.\nAnswer: 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53297 or 53279?\nAnswer: 53297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*1 + -7 + 3 + 0. What is the least common multiple of 9 and 2*r\/12 + (-19)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(504\/40))\/((-40)\/(-504))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -960.92 - -978. Let x = -17 + t. Let y = 0.02 + x. What is the second smallest value in -6\/5, 4\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 67 = -87. Suppose 4 = w*p - 12*p. What is the derivative of 9*c**2 + 2*c**p + 9*c**2 - 23 wrt c?\nAnswer: 40*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 5855064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - 2*z + 25. Let o = 11 - 11. Let i be f(o). Suppose i*q = 21*q + 4172. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 94757 = -8*d + d, 3*d + 4*p - 40607 = 0. What are the prime factors of d?\nAnswer: 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-3 + 17 + -34 + 34 - 22) + 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**2 - 44*j**2 - 59*j**3 - 31*j**3 + 24*j**2 - 53*j**3.\nAnswer: -143*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -36. Suppose 126 = 3*b - 5*j, 2*b + 0*j = -5*j + 109. What is the remainder when 3 + y - (-330 - (-6 - -1)) is divided by b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. Let p(l) = 39*l + 15. Let w be p(-2). What are the prime factors of (-7)\/(b*3\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31771005?\nAnswer: 3, 5, 7, 302581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/22 in 1\/6, -1\/4, 2\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.25 + -1.43. Let y = -0.22 - -17.22. Let s = c + y. What is s rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.92 + -2.12. Sort u, -2, -1\/20, 2.\nAnswer: -2, u, -1\/20, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62815)\/(-211354) + 9\/132 + 2\/(-8).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-12)\/270*5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -15*j**3 - 46*j**2 - 102*j + 16. Is 21 a factor of b(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 204\/(-153)*(13*28 + -1). Let m = t + 486. Let r be (-25)\/10 - (-1)\/2. Which is the closest to -0.02? (a) r (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-36)*3\/32*42\/7\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 8 (c) 6 (d) 3\/2 (e) 556\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 485\/(-194)*(-8)\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000333540036 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*p**3 - 4*p**3 - 24*p**3.\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42997400 and -2?\nAnswer: 42997402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -40911\/506 > -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 165dc?\nAnswer: -165dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -12, 0.3, 4 in ascending order.\nAnswer: -12, 0.07, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4213785792 to two dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18283*g**2 - g - 5352*g**2 + g.\nAnswer: -23635*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 35*j**2 - 2*j - 15. Suppose 0 = 2*a + 4*z + 24, 0*a - 2*a = -3*z - 4. Let o be y(a). Let v = 244 + o. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7251, 1, -11, 16, -4, 2, -5 in descending order.\nAnswer: 16, 2, 1, -4, -5, -11, -7251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3 - -2 - 3). Suppose s = 5*z - 2 - 3. What is the nearest to -1 in 5, z, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1349523*p**2 - 4463798*p?\nAnswer: -2699046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j**3 + j. Let z(p) = -13359*p**3 - 1647*p. Give 6588*d(a) + 4*z(a).\nAnswer: -732*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (33 + 1 + 0)\/(44\/110). Let f(r) = 4*r - 15. Let t be f(8). Calculate the greatest common divisor of l and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*w. Suppose d - 18 = 3*a, d + w*a + 7 = -0*a. Suppose 2*q + 5 = d*q, 3*g - 4*q + 14 = 0. Which is smaller: g or 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-22 + 5) - (-3 - (-10 - -18))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-18))\/((-50)\/(-275))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.562852 years?\nAnswer: 0.08562852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*p = -862 + 1894 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47471726*r**2 - 997547136*r?\nAnswer: 94943452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 303095801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10605909*j**4 + 2521*j**2 + 2*j - 96.\nAnswer: 254541816*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3577651419 rounded to the nearest one hundred thousand?\nAnswer: 3577700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*s**3 - 3*s**3 - 6*s**3 - 653 - 23*s**2 + 16*s**3 - 102 wrt s.\nAnswer: 12*s**2 - 46*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 12) to base 4\nAnswer: -10321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - g**2 - 3*g - 3. Suppose 0 = -3*m - 2*m + 85. Suppose 5*w + 0*w = -70. Let k = w + m. Determine s(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (335 - 601020\/1680)*(64\/(-14))\/2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, 418, 2\/5, -1\/9, -12.35?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -6*i + 35*i. Let o = -21\/26 + 4\/13. Which is the closest to i? (a) -0.07 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9, -155930, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 + 75. Solve -13 = -5*a + 3*x - 33, -x - w = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -196803297828 - 1.\nAnswer: -196803297829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-15) - 9\/(-60). Let h be (-40)\/(-10) + -8 - 116\/(-30). Which is the nearest to m? (a) 3 (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61763, 123246, 184755, 246296, 307875, 369498?\nAnswer: 431171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -13*c + 666. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(10\/13)\/(p**9*p)*p**(-28)*p**7 assuming p is positive.\nAnswer: p**(-393\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -20*a**4\/3 + 119645*a**3\/3 + 549330*a**2 + 5456605*a\/3 - 1469020\/3 = 0.\nAnswer: -7, 1\/4, 5996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238\/5 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*r - 149*r + 51*r)*(-3 + 5 - 4).\nAnswer: 452*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 5*q**2 - 24*q + 130. Give a(8).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2\/5 - 884*r\/5 + 3504\/5 = 0.\nAnswer: 4, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3, 3, 2.5, 1, -2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2 + 6*b**2 - b - 9*b**2 + 2*b**2. Let k be j(-3). Let x(l) = l**2 + 2*l + 2. List the prime factors of x(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 27. Suppose -g*l = -2*l - 408. What is the common denominator of 1\/2 and (-2 + l\/112)*4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.4723 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 8, -0.215, -1\/7, 0.02 in descending order.\nAnswer: 8, 0.02, -0.07, -1\/7, -0.215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67 + -0.08279222?\nAnswer: 0.58720778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494573653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16020373*f**2*w**3 + 834*f**2*w - 164*f*w**2 - 6*f wrt w?\nAnswer: 96122238*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*r + 25 - 10, 2*f - 3*r + 15 = 0. Let b(a) = f*a - 4*a + 4*a - 3*a. Let z(y) = 5*y**2. Determine b(z(h)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(121) - -4*-2*sqrt(121) - -3*-2*sqrt(121))\/((sqrt(132) + (sqrt(132) + sqrt(132)*2)*6)\/sqrt(12))*5)**2.\nAnswer: 45031\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a - 1. What is x(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 50\/(-52))\/(22\/88)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)*x\/(x*x**(1\/2)*x*x*x))\/(x**(-2)*x\/(x\/x**(2\/3)*x)))**(-4) assuming x is positive.\nAnswer: x**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4269046238.\nAnswer: 2, 23, 92805353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3470615*p**3 - 6262269*p**2 wrt p.\nAnswer: 20823690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86387*o**2*x**3 - 17*o**2*x**2 - 2*o**2*x + 72*o**2 - 5895*o*x + 13*o + x**3 wrt x.\nAnswer: -518322*o**2*x - 34*o**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 13*d - 23*d. Let k(i) = i**3 - 8*i**2 + i + 7. What is k(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73945*q**2 + 90186*q wrt q?\nAnswer: 147890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*b = 23, 0 = a + 3*a + 5*b - 2. Suppose -7\/2*g**4 + 0 + 0*g - g**a + 0*g**2 = 0. Calculate g.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 94\/9, -0.4, -15\/4, -3?\nAnswer: 94\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (66 - -286)*(-3)\/(-6). Let m be (66\/9)\/(2\/6). What is the greatest common divisor of r and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.096 - -0.04612595808.\nAnswer: 0.14212595808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 1\/28*h**4 + 10 - 1\/21*h**3 + 0*h - 1\/7*h**2. Factor s(k).\nAnswer: k*(k - 2)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 plus 1882.01827705?\nAnswer: 1819.01827705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 984253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -643 (c) -74822\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 32376 = -177488 - 59860. What are the prime factors of t?\nAnswer: 2, 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) + 2*sqrt(20))*2)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:29 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -340\/19069, -5.\nAnswer: -5, -340\/19069, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 1. Let n(b) = -7*b + 7. Let d(y) = -2*m(y) + n(y). Suppose c = -3*g - 23, -2*c - 3 = 1. Does 5 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 11126 = 4*x, 2*n - 16656 = -n - 5*x. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.34 and -3.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 10353686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 16*q + 24 = 0. Let b = -22 - q. Solve o - b = 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10*o. Let b(q) be the second derivative of -q**3\/6 - 7*q. What is a(b(n))?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fppfcffkwfpfr. What is prob of picking 1 p, 1 c, and 1 f?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3210*a**5 + 2*a**2*r**2 - 3*a*r**2 + 915*a wrt a.\nAnswer: -64200*a**3 + 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-8 + 16 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a factor of 2673398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 21*f + 2. Let n be a(0). Let k(g) = -9*g + 2. Let w(p) = 9*p - 3. Let t(y) = -5*k(y) - 4*w(y). Calculate t(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 - 68*t + 211. Let s be g(-25). Calculate the highest common divisor of s and 1476.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -756226 divided by -13?\nAnswer: 756226\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95)*4 + sqrt(95) + sqrt(95))*5)*6)\/(-3*-4*sqrt(80)).\nAnswer: -29*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -123577+-4.4\nAnswer: -123581.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 9*a**2 - 4*a + 10. What is y(9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - i - 2*i)*(32 - 7*i - 32 + (2 + 4 - 2)*(-3*i + 4*i - 4*i) + 0*i + 0*i + 2*i).\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66107 + 66178. Suppose 2*v = v. Suppose z + 5*r - 6 + 23 = v, 2*r = 5*z - 50. Calculate the remainder when d is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6620272513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862546.9ms to seconds.\nAnswer: 862.5469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3552133 is divided by 3925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5444084 divided by -2?\nAnswer: 2722042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkm when three letters picked without replacement from kmmmmmmmmmkmmmmmkm?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 31 = 2*p + d, -54 = 3*p - d. Let k = p - -50. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.48 + 24.9. What is the smallest value in 4, -3\/5, o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 12 - 4, -4*m + 608 = -o. What is the highest common divisor of 17 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**3 - 564*j**2 + 6783*j + 2124150 = 0.\nAnswer: -50, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 17*m + 180. What is n(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24563179048 minus 4?\nAnswer: 24563179044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2165622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317893 - 1896.1.\nAnswer: -319789.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-32 - -17 - 16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5.2. Let r = g - -0.1. Let f be -24 - -29 - 42\/8. Which is the biggest value? (a) r (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:11 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1. Let a(v) = -2*v + 15. Determine a(h) + 2*d(h).\nAnswer: -2*h + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274542111 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z + 6037 - 2147 + 3975 = 0 for z.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.31, -0.2?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 + 125. Suppose 0 = -7*v + f*v. Let g(d) = -d**2 + d + 33. Let u be g(v). Solve -u + 8 = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1063 - 1?\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*d - 47, 0 = -d + 2*z + 280518 - 280478 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/842 - -30518\/3789. What is the common denominator of 51\/20 and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(c - 4*c + 4*c)*(3 + 1 + 1 + (4 - 1 - 5)*(0 + 1 - 3) - 4 + 0 + 3 - 2 + 5 - 4).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*z + 85, -38 - 187 = -3*c + 3*z. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 8:15 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -275, -245, -193, -113, 1, 155?\n\"Answer: l**3 + 5*l**2 + 8*l - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506344 (base 10) to base 12.\nAnswer: 205034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 8*l**2 + 7*l + 6. Let c be z(-7). Suppose -t - 3*q + 64 = 0, t - c*t + 266 = -3*q. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -7. Let h(k) = -4*k + k**2 - k - r*k**2 + 0*k**2 - 5. Give h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 34*q**2 - 25. What are the prime factors of p(5)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*a - 30*a - 65*a + 341*a to the form r + s*a and give s.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 80532873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79415.85l in millilitres?\nAnswer: 79415850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1406\/4*(-76)\/(-38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/7 or -2.278?\nAnswer: -2.278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147480?\nAnswer: 2, 5, 37, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5 + 42*w**4 - 120*w**3 - 48*w**2 + 528*w - 480.\nAnswer: -3*(w - 10)*(w - 2)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1842 - -6.3024. Round o to 2 decimal places.\nAnswer: 4.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 15. What are the prime factors of -11*(-5)\/15*s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13358155 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -8*l - 3320. Let n = l + 341. Suppose -5*i - 1 = -16. Solve -n - i = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a20 - -4?\nAnswer: 3a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 27 = 2*s, -5*s + 58 = 2*t - 0*t. Let w(o) = -o**3 + 11*o**2 + 14*o - 12. Let m be w(s). Suppose 6 + m = 3*x. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -20*(1 - (-15)\/(-12)). What is the lowest common multiple of 10 and -2*12\/((-30)\/x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2557 (b) -4 (c) 10\/3 (d) 4492\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2))**(2\/27)*j*j**(-2\/15)*j\/(j*j**5) assuming j is positive.\nAnswer: j**(-176\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:41 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 61, -3 in increasing order.\nAnswer: -4, -3, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -36*y**4 - 3275013*y**3 - 74485053471*y**2 - 43448773032*y - 6206928588 = 0.\nAnswer: -45486, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 9:00 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 74. Let d(n) = n**2 - 4*n. Determine d(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25641 + 16?\nAnswer: 25657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 - 3*w**3 + 7*w**3 - 5*w**2 + (3005 + 158*w - 3005)*(-10*w**2 - 300*w + 300*w) to j + f*w**2 + u*w + r*w**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 2*o + 0*o)*(-2 + 3 + 1) + 0*o + o + o - 4*o + 5*o - 2*o - 2*o + 5*o - o - 23291423*o + 3 + 2 + 23290724*o to the form u + m*o and give m.\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*(-64)\/(-12). Solve 2*i**3 + c*i - 11*i**2 + 0 + 3*i**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 83 = 4*a, -5*a - 9 = 1. Let o = -10 + z. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 4:23 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 5*r - 12, -5*m + r + 3*r - 15 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**6*t*(t**(1\/2)\/t)\/t)**(2\/67)*(t*t\/t**(-1))**(-2\/3)*(t\/(t\/(t*t**(1\/4))*t))\/t*t\/(t*t*t*t\/t**(2\/23))*t assuming t is positive.\nAnswer: t**(-27547\/6164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 2125, 7329, 17549, 34477, 59805?\nAnswer: 95225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 11*c + 4. Suppose 19 - c = 3*w. Let l = w - 1. Solve -a + 0*a = 2, 25 = 3*t - l*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 11*u - 21*u. What are the prime factors of (13\/u)\/(-13) - (-10749)\/12?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*a - 2*h, -2*a + 5*h - 1 = 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -220, -428, -632, -832, -1028, -1220?\n\"Answer: 2*m**2 - 214*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1 + 1 - 2 - g - 3. Suppose -12 = n - 3*c, 2*c + 71 = -5*n + 130. Give y(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514500160 rounded to the nearest 100000?\nAnswer: -514500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-4))\/(9\/(-48)*2). Calculate the highest common factor of z and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -3\/8, -28927 in decreasing order.\nAnswer: 4\/3, -3\/8, -28927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p. Suppose -2*v - s = 2*s - 16, -2*v = 4*s - 20. Let l(t) = -6*t + 7*t**v - t**2 + 6*t. Determine k(l(g)).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20000503 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2641\/1410 + 57\/94. Find the common denominator of 46\/15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 48. Let g be (-1 + l + 0)\/(3\/39). Let d = 77 + g. What is the least common multiple of 16 and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, w: 2, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f**3 + 3 + 4*f - 6*f + 0*f + f**2. Let s be q(-3). Suppose s = 4*w - 9 - 23. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214333.\nAnswer: 7, 67, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Let u = -5.5 + i. Let f = u + 3. What is the biggest value in -1, -1\/5, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 + 47 = -2*v. Suppose 287*p - 15 = 282*p. Calculate the common denominator of p\/(-18) - v\/24 and 45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25121*b*w + 4*b - 2*w + 38245 wrt b.\nAnswer: 25121*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s + 0*s)*(-2 - 1 - 1) + 5*s - 9*s - 10*s + (s + 3*s - 3*s)*(2 + 0 - 1).\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*k - 13*k - 13*k)*(-4 + 1 + 2)*(3 + 5 - 11).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)*b)**45)**(-11)*b**(-1\/3)\/(b*b**(5\/4))*(b\/b**(-2\/3))**(-8) assuming b is positive.\nAnswer: b**(-31037\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(8 - 10). Sort 0.5, v, 0.1.\nAnswer: 0.1, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-2)\/1 - (2 + -1). Solve 0 = -g*o + 7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/15 (b) 0.3 (c) -7 (d) -139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 2:50 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**8\/20160 + u**6\/80 - u**5\/20 - 3*u**2. Let s(q) be the third derivative of t(q). Differentiate s(o) wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.1 + -11.1. Let g = 5.7 - x. What is the second biggest value in 4\/7, -6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-21))\/s**(-7\/3) assuming s is positive.\nAnswer: s**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 0*z**2 + 6*z**2 + (3 - 1 + 0)*(2*z**2 - 12*z + 12*z) - 3*z**2 - 4*z**2 + 6*z**2)*(0*z**2 + 4*z**2 + 2*z**2).\nAnswer: 30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.017? (a) 3.6 (b) -3\/2 (c) 1\/5 (d) -0.2 (e) 4 (f) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51157*-7.5.\nAnswer: 383677.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733961817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.6 - 12.6. Which is the second smallest value? (a) 6 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4 + 7509740*l**3 - 16834*l + 739?\nAnswer: 12*l**2 + 45058440*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2450615602 to the power of 1\/2, to the nearest integer?\nAnswer: 49504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*f**3*j + 2*b*f**2*j - 4*b*f**2 + 8*b*f*j + 7*b*j + 8005*f**3*j - 2 wrt f.\nAnswer: -12*b*j + 48030*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/216 - (-206)\/18. Let h = 68138\/5895 - o. Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 23*i**2\/2 + 2*i - 6176. Let x(q) = -q. What is d(s) + 2*x(s)?\nAnswer: 21*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5000.566ml?\nAnswer: 5.000566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 + 12*x**2 + 12*x. Let g = -13452 + 13447. Let l(y) = -y**3 - 5*y**2 - 5*y. Calculate g*w(c) - 12*l(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - s - 1. Let x(y) = 3*y**2 - 6*y - 8. Let u(b) = 4*j(b) + x(b). Calculate the remainder when 29 is divided by u(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62357836, 124715681, 187073528, 249431377, 311789228, 374147081, 436504936?\nAnswer: 498862793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -4*x - 3*y + 3, -5*y = 2*x - 5. Suppose x = -6*f + 15 + 15. Let p be -3*2\/(-1 + -1). Solve -p*l + 10 = -f*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521.3761nm to millimeters.\nAnswer: 0.0005213761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3 + 3*l + 4*l - 6 + l**2. What is the remainder when 14 is divided by g(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(20\/9))**30*p**(-35)\/(p\/(p**(-43)\/p*p)) assuming p is positive.\nAnswer: p**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6 = x, -2*x + y + 4*y = -12. Suppose 0 = -2*u + 3*b + x, 5*u + b - 18 = 14. What is the remainder when 35 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x**2. Let t(n) be the third derivative of 0*n**3 + 0*n + 0 + 1\/24*n**4 - 10*n**2. Determine r(t(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2074, -2077, -2082, -2089, -2098, -2109, -2122?\n\"Answer: -v**2 - 2073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 52. Suppose v = 5*v - h. Solve -2*d + 5*z + 14 = 0, 0*z - v = 2*d + z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -27 (b) 4\/45 (c) 1\/9 (d) -4 (e) 3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4336.344l to millilitres.\nAnswer: 4336344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2106, 3984, 5862, 7740?\n\"Answer: 1878*r + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, n: 1, o: 1}. Give prob of sequence co.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.008 (b) 3\/5 (c) -1 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -3\/4208, 1\/4, 4\/9?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3612600 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378.81 + -0.12677.\nAnswer: -378.93677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**1\/c)\/c))**(6\/7)\/(c**(-5)*c\/((c**(-2\/13)\/c)\/c)) assuming c is positive.\nAnswer: c**(324\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/20 + l**4\/12 - l**3\/2 - l**2\/2 + l. Let d be (-51)\/24 - 1\/(-8). Let v be w(d). Are 1 and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 14. Let i be l(7). Let f be 14\/(-4)*(-4)\/i. Suppose 2*m + d = -2*m + 1, 4*m - 2*d + f = 0. Solve 3*s - u + 15 = m, -5*s - 2 = u + 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 131956182 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 27) + (-1458 - -1523)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1022 and -41005.\nAnswer: -42027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y - 1. Suppose 8*r + 56 = 12*r. What is the remainder when r is divided by f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 10907.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146384902 is divided by 630?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/7206123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -121. Let s be h*(-5)\/4*2. Let q be 2*(-2)\/s*(-10)\/(-2). Solve -4 = -6*j + q*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.80479213 to two dps.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v - 17. Let c be r(2). Suppose -c*j + 942 = 2*j + 4*a, 5*a - 15 = 0. Are j and 1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -2. Let r = 1 - i. Differentiate -3*a - 1 + 4 - r - 2 wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 11:13 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7857 and 27446247.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w - 33*w = 15*w - 1008 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let l(q) = q**3 - 12*q**2 - 12*q - 11. Let a be l(13). Let r be f(a). Factor -6*c**r - 12 - 7 - 2*c**3 + 17 - 6*c.\nAnswer: -2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.885 or 2?\nAnswer: -0.885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -1 - (-52 + 50 + -41)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 9:15 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 9. Let f be (-9 + 3)\/((-14)\/35). Calculate r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2054 + -1226. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 2, 20 in descending order.\nAnswer: 20, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -297 + 1. Let s = 140 - k. Which is greater: s or -74\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/60 and 19\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1569 - 3145 + 126*t**3 + 1576 - 2*t**2.\nAnswer: 126*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 38804967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 2)*5 - 1*sqrt(2)*2) + (sqrt(12)\/sqrt(6)*-6 + sqrt(2) - sqrt(32)*4).\nAnswer: -18*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**6*l - 37*a**3*l*w - 378*a**3*l - 114*a**2*l*w + 2*a**2*w + a**2 - a*l + 2*l*w + w wrt a?\nAnswer: 120*a**3*l - 222*l*w - 2268*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -470\/13 in 1, -2\/13, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.72 - -14.7. Let l = -0.02 - t. Let v = 123 - 119. Which is the closest to -0.1? (a) l (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 - 47337.\nAnswer: -47338.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(168)\/sqrt(4))\/(sqrt(6) + sqrt(6) + sqrt(150)*4).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13729 - 4223. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/177, -109, -1, 3?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -336*l + 72*l + 42*l + 24 - 102. Is 5 a factor of o(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 634, 625, 612, 595, 574, 549, 520?\n\"Answer: -2*c**2 - 3*c + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*w + 14 = 3*x, -x = 3*w - 1. Calculate the least common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-15))\/((-88)\/72). What is the second biggest value in 1\/5, x, 0.9, -1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -3*v**4\/2 + 249*v**3 + 189*v**2 - 375*v + 1599. Factor w(o).\nAnswer: -3*(o - 125)*(o + 1)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -29, -39, -49, -59?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Let w = -22 + 22. Which is the third smallest value? (a) 0.04 (b) w (c) 3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k*k**6*k))*k*k\/k**7*(k**(2\/3)*k)**(-38) assuming k is positive.\nAnswer: k**(-181\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-21 - -45 - (-2 + 13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + 2 + sqrt(72) + 3)*-3)**2*-5.\nAnswer: -10890 - 7560*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 3*f - f)*(f**2 - 3 + 3).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/2, -5 in increasing order.\nAnswer: -5, -4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8807887531.5 plus -469?\nAnswer: 8807887062.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 18040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21925741?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 0, -727*g + 5*i = -729*g + 12 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4 - 49*i + 97*i - i**2 - 57*i. Determine s(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748 = 4*q + 5*x, -x - 374 = -0*q + 2*q. Let w = -977 + 572. Let j = q - w. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*f - 59*f - 896. What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1021?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3368246.9999975 + 3368252. Let u = -5 + a. Round u to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2626*q**2 + 27*q + 84. What is the ten thousands digit of c(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - i + 4 = -3*i, 0 = -4*s + 5*i + 10. Suppose -5*a + 33 = 3. Let k = a + -3. Put s, 2, k in decreasing order.\nAnswer: k, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39553?\nAnswer: 37, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -293522 and 8.329.\nAnswer: -293513.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12441*q - 56. Let g be y(-16). Let d be 40\/(((-4)\/g)\/(-1)). Round d to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 0*s - 2*s - 9*s + 3 in the form w + t*s and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 74 - 2686. Is 7 a factor of r\/(-6)*(-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 6*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - -3) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by -22?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0712 to two dps.\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11542552 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -6 + -9 + 16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28799 + -28799. Which is the nearest to -7? (a) z (b) -5 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -l + 4*r, -r = -5*l + 8. Suppose 10*s - 24 = l*s. Solve -2*z + 10 = -2*b, 6 - s = b + z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyl when three letters picked without replacement from {y: 9, l: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 0*r + 0*r**3 + 35\/2*r**2 + 40 + 0*r**4 + 67\/5*r**5. Find the second derivative of b(v) wrt v.\nAnswer: 804*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8519 - -11996. Suppose -k - 877 = -l. What is k rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 236*g**3 - 3 - 686*g**3.\nAnswer: -450*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -687.249181 - 8438\nAnswer: -9125.249181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - s - 6 = -2*s - q, -4*s - 12 = -2*s + 2*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 1. Let l(n) = 4*n + 14. What is -l(i) + r(i)?\nAnswer: -3*i - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 2549273?\nAnswer: 2549270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o, -3*o = -3*i + 2*o + 9. Let r be (3 - 4) + i + -1. Solve -5 = -2*u + r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1\/6, -1\/77, 3\/2 in descending order.\nAnswer: 3\/2, -1\/77, -1\/6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + 798172793\nAnswer: 798172793.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1))**32)**(-42) assuming b is positive.\nAnswer: b**(-2688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -186.6 * 20.\nAnswer: -3732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3484 and 11256.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 3*u**2 + 3*u + 2. Let q(i) = -i**2 - 8*i - 12. Let s be q(-8). Let w(h) = -h**2 - 13*h - 15. Let l be w(s). Determine p(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) -0.9 (c) 3\/4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:19 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 383 = 2*s - 0*q, 3*q = 3*s - 552. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 10512.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124731*c*p - 4457745*c - 23*p wrt p?\nAnswer: -124731*c - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmmmemmemmmmmmmem?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 60 - 5*j**3 - 60 - 3*j**2 + 144 - 5*j**4 - 50 to the form s + o*j + h*j**2 + p*j**3 + z*j**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.4, 4, -22, 2\/11, 5\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 + 79*w + 1592. What is t(-34)?\nAnswer: 2374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 39373*m**2 - 80*m. Let h(n) = -2*n. Calculate v(h(d)).\nAnswer: 157492*d**2 + 160*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2*j**2 + j**3)*((6*j - 2*j - j)*(2*j + 0*j - 3*j) - 2*j**2 - 5 + 5).\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-30)\/4)*(-44)\/(-6). Let c = 70 + b. Let r = -3 - -3.1. What is the third biggest value in c, 0.7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -111?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -591*k + 593*k - 2, -2*h = -7*k - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/20*(-24)\/(-10). Suppose f = 3*t + 4, 3*f - 16 = 4*t - f. Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 0 - (17 + 11 - (70 - 57))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.608, 5, -2115 in decreasing order.\nAnswer: 5, -1.608, -2115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2867 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 148 - 143 - (-1 + (14 - 2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11119689 is divided by 3706538?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43150 (base 10) to base 16.\nAnswer: -a88e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 3*o - 6. Let k be j(-17). Let n = k + -134. What is n rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0 - 2)*-2. Let a be (-9)\/(-6)*(-352)\/(-6). What is the highest common factor of s and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 4*o**2 + 2*o - 1. Let i be z(-2). Let g = -6 + 10. Solve -i*t = t + g*r - 4, r - 17 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + g = 2, 28*i - 29*i = -4*g - 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117 or -321974?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m - 5*j + 86 + 3, 2*m = 2*j + 32. What is the highest common factor of m and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 2. Let b(n) = -n**2 + 8*n. Let f be b(8). Suppose f = 2*h - r - 76, -h + 23 + 29 = -4*r. What is the greatest common factor of h and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369218.\nAnswer: 2, 184609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7488578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 8*q**2 + 12*q - 6. Let z be o(5). Let c be (7\/5)\/(z\/(-105)). Let l(i) = -i**3 + 8*i**2 - 8*i + 1. Give l(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 126*m**2 - 4704*m - 43904.\nAnswer: -(m + 14)*(m + 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 8*f - 70. Suppose 5*x + 241 = z, f*z - 3*z - 500 = 4*x. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 0*f**3 + 0*f**5 - 23\/210*f**7 + 0*f + 236*f**2 + 0*f**6 + 0*f**4 - 1\/336*f**8 + 0. Let p(v) = 0. What is v?\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.48207 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93258465 a multiple of 663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2 - 2*f + 1. Let p be v(1). Let c(d) = d**2 + 5*d - 5. Let j(b) = 3*b**2 + 12*b - 12. Give p*j(a) - 12*c(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 24273.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 42 = -23*c. Let z be c\/84 + (-1)\/((-8)\/22). Solve 2*r - 7*r + u = -27, z*u = 2*r - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*f = 124, -91 = -2*r + f + 2*f. Let w(x) = -24*x - 4. Let p be w(-1). Let j = r - p. Calculate the greatest common divisor of 144 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000048330376 to 7 dps.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -629, -1274, -1935, -2612?\n\"Answer: -8*i**2 - 621*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine quarters of a century?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 470 by 338.\nAnswer: 235\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 125.513g?\nAnswer: 125513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3097, -12096, -27093, -48088, -75081, -108072, -147061?\n\"Answer: -2999*h**2 - 2*h - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - (-27 - 22)) + -19 - (2 - 10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 129903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/47)*z**(-14) assuming z is positive.\nAnswer: z**(-656\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 4 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b. Suppose 0 = -o + 4*d + 27, -4*o + 3*d + 22 + 60 = 0. Let n(u) = 19 - o + 2*u. Determine z(n(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1464549 - -873427. Let m = -591185.0158 - s. Let t = -63 - m. Round t to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7.04. Let c = j + -1.96. Let d = 1.999996 + c. Round d to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.232249cm?\nAnswer: 72322490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47557 or 47558?\nAnswer: 47558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -49, -40, -29?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*(-164)\/(-615)*627\/19\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*x + 8 = -6, 2*r - 4 = 4*x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t - 67*t + 980 - 3542 = 0 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 2*i - 1. Let w be g(2). Let q be (-6)\/(-2) - (w + -1). Suppose 0 = -4*t + 5*n + 13, 0 = 4*t + t + 3*n - 7. Put t, 0, q in decreasing order.\nAnswer: t, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:53 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3820 and 0.1685.\nAnswer: 643.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/12 and 4\/6*(-765)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 9. Let z(y) = y**3 - y**2 + y + 3. Let j be z(0). Let i = j - r. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**2 - 20*a**2 - 19*a**2 to the form p*a**2 + o + s*a and give p.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/102711 and -10\/1017?\nAnswer: 34819029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -3, -6 in increasing order.\nAnswer: -6, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -22 - (-6 + -5 + -2 + 11)) + 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 24*y - 8 = -23*y, y + 11 = -n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*d - 97*d + 72 = 0. Let h(o) = 2 - o - 4*o + 6*o. What is h(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 3 + sqrt(7)*-1)**2 - -2*sqrt(175).\nAnswer: 9 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 5:55 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 0*t**5 - t**5 + (-t**2 + 9*t**2 - 4*t**2)*(t**3 - 2*t**3 + 0*t**3) - t**2 + t**5 + t**2 + t**5 + t**5 + 0*t**5.\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456 and 969?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -43343a?\nAnswer: 433440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*u**3 + 195*u**2 - 9996*u?\nAnswer: 204*u + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = 5. Let n = -16377 - -16379. Suppose -3*a + 5367 = -4*m, -8*a = -b*a + n*m + 1787. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 9043449?\nAnswer: 904344d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l - 4. Suppose 17 = -5*f - 138. Let m = f + 43. Let t(p) = -5*p - m*p - 11 - 6*p. Determine 17*j(n) - 6*t(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 606287 + -3?\nAnswer: 606284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 430500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(133)*3*-2 + sqrt(133))*-4)\/(-5*sqrt(14)\/sqrt(2) - -1*sqrt(7)*-2) + -3.\nAnswer: -3 + 120*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -6, 0.1, -47 in decreasing order.\nAnswer: 13, 0.1, -6, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h*x**3 - 14*h*x**2 - 11*h - 2*x**3 + 7937*x**2 wrt h.\nAnswer: -2*x**3 - 14*x**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 48*u**3 + 32*u**2. Let f(a) = 275*a**2 - 137*a**2 - 59*a + 59*a - 139*a**2. What is 32*f(y) + k(y)?\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, 1, 0, -3 in increasing order.\nAnswer: -12, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -102*z - 8. Is t(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1704, 1667, 1632, 1599, 1568, 1539, 1512?\n\"Answer: n**2 - 40*n + 1743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.035 and 274.24154327.\nAnswer: 274.20654327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 10, -5 = -3*a + 3*o + 4. Suppose 4*l - 2*l - 5*w - 4 = 0, -3 = -l + 3*w. Is 3\/(l\/(-11)) + a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 205252 or 205271?\nAnswer: 205271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + 4442. Calculate the greatest common factor of r and 310.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 0, -4914\/29, 1.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/95)*s)\/(s\/s**(-3\/5)*s) assuming s is positive.\nAnswer: s**(-30\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 - 73370*w - 806465 = 0.\nAnswer: -14663, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10)\/(60\/168)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 2154560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1*c*c**3*c*c)**42*((c*c**4)\/(c**5*c))\/(c\/c**(-1\/11)*c**5*c) assuming c is positive.\nAnswer: c**(3607\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9214?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 682151.000825 + -682134. Let z = -17 + s. What is z rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15472.3 and 0.02.\nAnswer: 309.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n - 17. Let x be t(9). Suppose 4*h = -0*h - 4*v - 180, 0 = -5*h - 2*v - 228. Let i = x + h. Solve i*o - 6 = -4*w - 3*o, o = -5*w + 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*g = 6, u = 5*g - 3*g - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -2*n**2 + 18. Let f(d) = 4*d**2. Give f(m(h)).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 13*m + 38. Let w(y) = 9*y**2 + 102*y - 306. Let t(v) = -33*f(v) - 4*w(v). Factor t(r).\nAnswer: -3*(r - 5)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 3. Determine f(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z - z)*(1 - 2 + 0 + (0 + 2 + 0)*(5 - 2 - 4) - 6 + 2 + 3 + 4 - 2 + 0 + 0 - 1 + 0 + 3 + 1 - 6 - 1 + 3 - 3 + 7 - 2 - 3)*(3 + 3 + 1).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 - 1708*k**4 + 162612*k**3 - 2201348*k**2 + 3921712*k - 1881264 = 0.\nAnswer: -509, 1, 14, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z - 2, -z + 8 = w. Let q(a) be the third derivative of -5*a**4\/12 + 14*a**3 - 3*a**2 - 16. What is the lowest common multiple of q(7) and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 8*n**2 + 10*n + 23. Let l be p(-7). Suppose -103 = -b - 0*o - l*o, 2 = o. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3 + q + 3*q)*(-2*q + 2*q - 2*q**4).\nAnswer: -4*q**5 + 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/8)*c)\/c**(2\/7))**(2\/13) assuming c is positive.\nAnswer: c**(103\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -603517 plus -10.4?\nAnswer: -603527.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82733.57 centuries in months?\nAnswer: 99280284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 7*l - 6*l + 3*l + 3*l as n*l + c + v*l**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 3\/5, -1.6578 in descending order.\nAnswer: 3\/5, -1.3, -1.6578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2402 - 12007\/5. Factor -z*v**4 - 4\/5*v**3 + 0 + 0*v - 1\/5*v**2.\nAnswer: -v**2*(v + 1)*(3*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279428583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/15)\/((-1)\/5). Let z(t) = -2*t - 8. Let n be z(w). Calculate the common denominator of ((-3)\/n)\/(108\/(-1216)) and -121\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 10:22 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((49\/(-6))\/(28\/126))\/((-513)\/(-684)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*b - 4*s, -2*s + 2 = -0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 28. Let x = 40 - f. Let d = x - 32.2. Which is the nearest to -2? (a) d (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -9078.\nAnswer: 1\/9078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/(-7)*(-3)\/141 and ((-101738)\/(-156))\/(-43) - (2\/(-1) + 2).\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1599 and 76\/603.\nAnswer: 321399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*m - 24 = 0, 9*n - 6 = 7*n - m. Are -1\/14340 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -33.2, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d + 4*v, 4*v + v = 4*d - 18. Suppose 4*w = d + 6. Solve w*s - 5 + 3 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-1 + -4) - (-270 + 309).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d - 28. Let o be p(8). Solve -y - o*y = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/1543 (b) -18.7 (c) -2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 5*u. Give w(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 632*m - 1501*m - 2152*m - 503*m + (0*m + 3*m - 2*m)*(-3 + 5 - 3) + 5 - m - 5 to k*m + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2774 and 38.\nAnswer: 2774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -927367*l - 869610.\nAnswer: -927367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164 by -3.\nAnswer: 164\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n - 4*n + 4*n + (0*n - 3*n + n)*(24 + 16 + 9) in the form d + x*n and give x.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15480*x**3 - 4711*x**3 - 6076*x**3 - 4699*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 848416073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.83 + -860.83. Let v = 847.71 + q. Round v to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95740 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346444 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28 - (-7 + 9)) + -6. Solve 0 = 283*q - 287*q - i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 3606, 10192, 19964, 32928?\nAnswer: 49090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.59? (a) 2\/3 (b) 2\/93 (c) 0.061 (d) 0.3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/5 - 37154*x**2\/5 + 37156*x\/5 = 0. What is x?\nAnswer: -18578, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 194616 - 19664. Suppose 11*a = 3*a + i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -135544, -135540, -135534, -135526, -135516, -135504?\n\"Answer: v**2 + v - 135546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -8. Let f(y) = -4*y**2 + 7*y - 7. Let p(i) be the first derivative of 2*i**3 - 11*i**2\/2 + 11*i - 1. Calculate g*p(d) + 8*f(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -46565 and -3092.5449.\nAnswer: -49657.5449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167 + 163. Let t = 11 - 16. Let w be t*((2 - 1) + -2). What is the second smallest value in w, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/6, -2, -0.5 in ascending order.\nAnswer: -35\/6, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c - 6. Let p = -3 + 0. Let h be n(p). Round h to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4583, -8712, -12813, -16886, -20931, -24948?\nAnswer: -28937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*v)*(v**3 - v**3 + 2*v**3) + (-v + 0*v - 2*v)*(-4*v**3 + 0*v**3 + 6*v**3) + (2*v**4 + v**4 - 5*v**4)*(-1 + 6 + 0).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114745*d**2 + 956*d + 51.\nAnswer: 229490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25644112.\nAnswer: 2, 13, 123289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -688 + 994. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171 - -169. Sort t, -3\/4, 6, 0.4 in increasing order.\nAnswer: t, -3\/4, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -7033?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (442 + 7)\/(7\/4). Let c = r - 256. Suppose -6\/7*x**4 + 4\/7*x - c*x**3 + 6\/7*x**2 + 0 = 0. Calculate x.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*i + 6, -i = -q + i + 3. Calculate the least common multiple of 7 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 14*t + 58. Let k be h(-4). Let y be (820\/30)\/(k\/9). Calculate the highest common divisor of 82 and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 10. Let c = -48 + 51. Put c, -1, y in ascending order.\nAnswer: y, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2014968 by -503742.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = f + 3. Let l = -5.29 - -9.86. Let y = 4.27 - l. What is the nearest to y in -0.5, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40511102 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**2 + 52*q - 50. Let y be s(1). Calculate the highest common divisor of y and 2529.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*x + 48*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/20)\/((-7)\/5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-144)\/20)\/(6\/(-40)). Suppose 29 = 3*r - 5*g - p, -4*r - 2*g = -94. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094536707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1596\/173585?\nAnswer: 1596\/173585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202569*n + 202630*n = -61 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/8 + 159705*x\/8 + 319314.\nAnswer: 3*(x + 16)*(x + 53219)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*f + 194*f = -25*f + 6150 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81553 - 52603. What are the prime factors of j?\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34386 and -193.614.\nAnswer: 34192.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 0.041, 4, 6\/73, 3, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -y + 6, -2*y - 14 = -3*c + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 - 176*u**4 + 336*u**3 + 704*u**2 - 1376*u = 0. What is u?\nAnswer: -2, 0, 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 2:24 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/((y*y\/((y*(y**(-15)\/y*y)\/y*y*y)\/y*y))\/y))*y**(1\/9))**(-2\/47))**(-9) assuming y is positive.\nAnswer: y**(272\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w + 155. Let x = w - 111. What is the highest common factor of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*u - 22 - 7 = 0, -12 = 4*r - 4*u. Let l be (3 + 0\/(-1))*2. Solve l = -r*f - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*q + 4 + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.012185+3\nAnswer: 3.012185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -266*s**2 - 57*s. Let n(b) = -19*b**2 - 4*b. Let c(d) = 57*n(d) - 4*u(d). Let p(i) = -11733 + 23469 - 11736 - 5*i**2. Determine c(p(w)).\nAnswer: -475*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l = -117*l - 28*l + 2200 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + -7. Let q = t + 39. Which is bigger: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/((-48)\/590)*(-35)\/175 and 53\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6716, -6591, -6466, -6341, -6216?\nAnswer: -6091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*h = 15, 537*p = 541*p + 53*h + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.4, 4, 2, -6, -3\/52?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 30*u**2 + 31*u - 56. Let h be r(29). Suppose 500 = h*m - 1068. Suppose -f - m = -8*f. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppfppppp. What is prob of picking 3 p?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsessbdddbq. Give prob of sequence qe.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 630 or 622?\nAnswer: 630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311186 is divided by 38894?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(78)\/(sqrt(24)\/sqrt(4)*3).\nAnswer: sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61051823?\nAnswer: 7, 857, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -177*j - 1. What is the least common multiple of 13340\/(-20010) - 56\/6*14\/(-4) and l(-1)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(70\/(-40))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5.64 + 24746.8206\nAnswer: 24752.4606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -52. Suppose o*n - 8 = s + 3, n = -4*s + 24. What is the closest to -0.1 in 0.1, 3, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7218.313 rounded to the nearest 100?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 9*l**2 + 4. Let u(y) = -y**2 + 9. Let g be u(0). Let s be r(g). Suppose -c + s*c - 84 = 0. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 1, y: 1, n: 1}. What is prob of picking 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657740347?\nAnswer: 11, 19, 3147083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d - 9 = j, 0 = 5*d + j - 23. Suppose d*g - 297 - 219 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 7*g**2 - 2*g**2)*(-g + g + g) + (2*g - 4 + 4)*(-g**2 + 0*g**2 - 4*g**2 + (3*g + 4*g + g)*(0*g - g + 3*g)).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 - -161. Solve 8 = -2*i + 2*d, 2*i + w*d - 5 = 22 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 459 divided by -459\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.8 or 2697?\nAnswer: 2697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*u + u + 5*n, -2 = 4*u - 2*n. Solve 4*t - u*a - 23 = -3, -5*a - 5 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 6:16 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*l - 6*l - 5*l)*(2*l + 2*l - 3*l + (5*l - 3*l - 3*l)*(-4 + 2 + 4)) as n*l + j*l**2 + b and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -19*b**2 - 381*b - 63. What is r(-20)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 1. Let h be x(-5). Let f = h + -2. Suppose 22 = -2*t - 4*s, 4*s - 2 = 2*t - f. What is the biggest value in -2, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(13224\/108)*4\/(-9).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ogvrvrvgrovrre.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/552 and 107\/108936?\nAnswer: 2505528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 6. Let h(t) = -1. Suppose 0 = 60*n - 48*n - 12. Let g(v) = n*f(v) + 6*h(v). Let u(s) = -s + 6. Calculate g(u(q)).\nAnswer: 2*q**2 - 24*q + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -24. Let f(u) = -u + 8. Let q be f(d). Suppose 8*m + q*m - 30 = 0. Solve -4*o - m*a + 18 = 0, 4*o - 20 = -2*a - 2*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 5*v**2 - 3*v - 60. Let h(w) = -3*w**3 + 6*w**2 - 4*w - 59. Let g(b) = 3*h(b) - 4*u(b). What are the prime factors of g(0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 2, c: 4, j: 1}. What is prob of sequence cs?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/44*(-44209)\/(-12057).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -5 (c) -10\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - 5647212150187.\nAnswer: -5647212150216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a + 382 - 220 + 84)*(0*a + 5*a**2 - 7*a**2 + 4*a - a**2 + 2*a**2 - 3*a**2 + (a + 3*a - 3*a)*(0*a + 3*a - 4*a)).\nAnswer: -25*a**3 - 1210*a**2 + 984*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 7*l**2 - 25*l + 38. Let t(u) = -u. Let f(i) = g(i) + t(i). What is the hundreds digit of f(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let f = o - 2.8. Sort -0.1, f, 3 in descending order.\nAnswer: 3, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-3) - (-71)\/213.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-621)\/(-15)*(-1)\/(-6) and 1\/(-2) + (-1172)\/(-884) + -1.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -5*q - 2. Let h be (21 + q)\/(3 + -2) + -4. Suppose 99 = -h*b + 22*b. Calculate the remainder when 195 is divided by b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 5*z - 1, -5*z + 4*z = 8 - 11 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.5899\nAnswer: 0.29495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/7)*q*q*q)**(-43)*(q\/(q*q**(-1)))**38 assuming q is positive.\nAnswer: q**(-852\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 52*q = 26*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 5. Let z be y(-8). Let t = 33 - 12. Calculate the greatest common factor of z and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from lldleldedlll?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-65)\/(-26))\/(1\/(-4)). Let o(r) = r + 15. Let k be o(h). Let p(x) = 2*x**3 - 12*x**2 + 10*x - 1. Let a be p(k). Which is smaller: -1\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167826 and 155694?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 109.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1563677 is divided by 781827.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38087.92 meters to micrometers.\nAnswer: 38087920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 2*t**2 - 2*t + 6. Let w be u(-3). Solve 10 = 2*n + 4*i, w*i - i = 5*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.57 + -106.67. Round s to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4692 and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 9) to base 3\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3 - i**5 - i**5 + 12*i - 13*i - 39 + 39 - 134*i**2 wrt i.\nAnswer: -120*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -14 + (0 - 0) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2676820 (base 9) to base 10\nAnswer: 1468143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)\/(-8 - 7497\/(-936)). Suppose 10*d + i = 11*d. Suppose q - 57 = d. What are the prime factors of q?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-22))\/(211\/(18 - 229)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -43.5 (b) 0.5 (c) 4\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -12, -1\/8, -0.08, -0.3 in ascending order.\nAnswer: -12, -0.3, -1\/8, -0.08, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 6 = 3*c. Suppose 0*n - 4*n = -16. Factor -3*h**3 + n*h**4 - c*h**2 + h + h**2 - h**3.\nAnswer: h*(h - 1)*(2*h - 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1681740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 16*d + 16. Let f be o(-17). Let x be (0 - (0 - f))*(-17 - 0). Suppose -19 + x = -t. What is the lowest common multiple of t and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*r = -0 + 10, -r = 2*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -170 and 15701.3721054.\nAnswer: 15531.3721054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t + 4*t + 52 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/3 + (-84)\/63. Find the third derivative of -2*p + 5*p**2 - 5*p**u + 6*p**3 + 2*p wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 + 1\/2*x**4 - x**2 + 0*x**3 + 0*x.\nAnswer: (x - 1)**2*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734026433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -51*u - 6467. Let y be l(-127). What is the highest common factor of 1915 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/3)*a*a)**(-44)*a**(-4\/5)\/(a\/a**3*a*a) assuming a is positive.\nAnswer: a**(-2212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -6380615677.\nAnswer: -6380615679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1, -0.83, -2\/5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 + 7*n**2 + 25*n\/3 - 6.\nAnswer: (n + 2)*(n + 9)*(2*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3169703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 1\/18*j**3 - 2*j + 0 - 1\/36*j**4 + 1\/180*j**5 - 2*j**2. Let n(z) be the first derivative of b(z). Factor n(i).\nAnswer: (i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -342d?\nAnswer: -3438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 131+-293618243931\nAnswer: -293618243800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3360714 = -1054*y + 1152*y. List the prime factors of y.\nAnswer: 3, 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 times -5123820\nAnswer: -143466960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/((-33)\/(-44)). Suppose 4*m + 7 = 11. What is the greatest common divisor of f and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*f + 22 = 4*p, 0 = -2*p - 20*f + 15*f - 497 + 559 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.97898*-205.\nAnswer: -200.6909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 1:47 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5025*h + 4927*h - 10339*h = -1548. Factor -5*q**h + 840*q + 1\/6*q**5 - 950\/3*q**2 + 115\/2*q**3 - 864.\nAnswer: (q - 9)**2*(q - 4)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**2\/2 + w + 330. Let i(p) = -6*p - 9. Let r be (4 + -10)*((-15)\/(-18))\/(-5). What is r*i(d) + 9*t(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1945468 * -5\nAnswer: 9727340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91869, -183696, -275539, -367410, -459321, -551284, -643311?\nAnswer: -735414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32004203\/155727966 + 3\/251987. Find the common denominator of b and 83\/(-30) - (-2)\/(-5).\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c**3 + 65*c**2 - 1164*c - 7161. Give n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9563, 19184, 28829, 38510, 48239, 58028, 67889, 77834?\nAnswer: 87875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627298 a multiple of 643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 61 = 155. Let l = 57 + f. What is the highest common factor of l and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -1409, 2, 0.4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 213 = -218 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 5?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 266.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952, 941, 926, 907?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4))**40*(c\/(((c\/(c*c\/c**(-7\/6)*c*c*c)*c)\/c)\/c))\/(c\/(c*c*(c*c**(-5))\/c)) assuming c is positive.\nAnswer: c**(199\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-81)\/(-54))\/((-1)\/8). Let g be (20 + -1)*(f + 9). Let j = 321 + g. What is the highest common factor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5679 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/2 - (-4 - -620)\/(-4). Suppose -15*w + 112 = -7*w. What is the highest common factor of w and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2739 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113\/8, 1\/4, 5 in decreasing order.\nAnswer: 113\/8, 5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 298536 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 11:11 AM?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -195*i - 3. Let y be o(-2). Suppose y = 4*m + 31. List the prime factors of m.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 3*r**2 + 3*r + 1. Let p(c) be the third derivative of -c**6\/120 + c**5\/6 - 3*c**4\/8 + c**3\/2 - 2*c**2. Let s be p(9). Does 5 divide j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/2 (b) -4 (c) -603 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -15. Let f be (-2)\/(-20) + (-6)\/l. Find z such that 1\/2*z**2 - f + 1\/4*z**3 - 1\/4*z = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wrwrwmmww?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 318075679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, x: 4}. Give prob of sequence xhxh.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 6 - (2 - 2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9816 = -23*f + 21*f + 4*i, f = 4*i + 4920. Calculate the greatest common divisor of 576 and f.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 580\/(-400)*-10*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*h**2 + 83*h**2 + 312*h**2 to the form w*h + u + c*h**2 and give c.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -37 + 31. Suppose 13*u + q*v - 19 = 12*u, -u = -3*v - 7. What is the greatest common divisor of u and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (245\/70)\/(3\/24*2). Let t be (-9)\/(-4) + 2\/(-8). Let a be (r\/(-14))\/(t\/1460). Round a to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -844 + 841. What is the closest to -4 in 0.5, i, 2, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246344445 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 87\/27 + (176\/18 - 10). Suppose 0 = 3*a - 0 - 12. Is 315*(4 - n) - a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26620 is divided by 1528?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 31. Suppose 2*c - 12 = -4*m, 3*m - 3*c - 11 + 2 = 0. Suppose -2*t = -3*t - m. Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265643\/20995 + 165\/13. Calculate the common denominator of -139\/30 and p.\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317081?\nAnswer: 109, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 42 - 142. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17804524?\nAnswer: 2, 607, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1928*q + 3477*q - 1869*q + (-3 - 4 + 4)*(-4*q + 3*q + 3*q) + q - 2*q + 2*q)*(4 - 10 + 3) as d*q + g and give d.\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 - (1 - 1 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (456\/(-342))\/(26\/3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*1 + 202\/4. Let o be 1 - 1*2900\/(-56). Let v = o - d. What is the closest to 1 in v, 3, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*t - 871 + 871 in the form p*t + k and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8855 divided by 4892?\nAnswer: 8855\/4892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 2:45 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/4))\/i**(4\/5)*i\/(i*i*i\/i**16)*i*i**17*i)**(1\/44) assuming i is positive.\nAnswer: i**(59\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30382221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 266*l - 124*l - 117*l - l**3.\nAnswer: -l**3 + 25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aadwbwod. What is prob of picking 2 d and 1 o?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:59 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1774053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1934, 3691, 5448?\nAnswer: 7205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -0.271504.\nAnswer: 0.3529552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 39260?\nAnswer: 39260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 15.\nAnswer: -28\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-99)\/135)*656\/3444?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 - 3*v**2)*(-22*v**2 - 3*v**2 + 7*v**2).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -503*p**2 + 1215.\nAnswer: -1006*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*q + h + 34, 4*h - 16 = 0. Suppose 5*f - j = 69, -3*f + 12*j + 114 = 27. Calculate the greatest common divisor of f and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*k = 3*k + 5, -5*h + 4*k + 2 = 0. Let w be (0 - 12\/h)*(-1076584)\/(-12). Let i = w - 988292. What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1)*(-8)\/(-3). Let y(z) = -4*z + 60. Let w be y(10). What is the greatest common factor of w and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-11)\/(-110)*-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:46 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 58*q - 14. Let y(v) = 5*v - 15*v - 4*v + 5 - 5*v. Let p(d) = 2*b(d) + 7*y(d). Is p(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 85814275196288\nAnswer: -85814275196301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:37 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 81221446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6920 and 600.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 8:44 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15217.\nAnswer: 15217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 - -3a1b8?\nAnswer: 3a196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((768\/56)\/(-32))\/(-3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5\/7 - 122*g**4\/7 + 834*g**3\/7 + 1472*g**2\/7 + 512*g\/7 = 0. What is g?\nAnswer: -1, -1\/2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 + 2*b - 2. Let p be g(1). Let t be (78\/2 - p)\/2. Let l = 18 - t. Let o(s) = s**2 + 1. Determine o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18891 - 18888. Solve -o*n + r - 5 = 6, 0 = n + 2*r + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/2 - 48051*q**2\/2 + 697226*q + 3173280 = 0.\nAnswer: -48080, -4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-35 - -15 - -15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 144*r + 1271. Determine k(135).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*p + 44, 0 = 4*f + 55*p - 51*p - 48. Solve -f*s - n + 27 = 31, 4*n = -4*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 76 = -23*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/3 - 10*u**3\/3 - 170*u**2\/3 + 10*u\/3 + 56 = 0. What is u?\nAnswer: -7, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*r + 60*r - 5*v + 19 = 0, -6 = -2*v. Suppose -2*s = -r*z - 966, -5*s - 199 = 2*z - 2642. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3164165, -3164031, -3163897, -3163763, -3163629?\nAnswer: -3163495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9815 less than or equal to 10063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71728691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + b**2 - b - 2. Let a be p(0). Let y(z) = 0 + 2*z + z**3 + 2 + 0*z**3 + 1. Give y(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98375205893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (5*(2 + 0 + sqrt(76)\/sqrt(4) + sqrt(19)) - ((sqrt(171)*1 - sqrt(171))\/sqrt(9) + -4 + 0))).\nAnswer: -50*sqrt(19) - 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**4\/12 + 5*u**3\/6 - 3*u**2\/2 - u. Let f be s(-6). Let c = f - 1. What is the highest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 2367*m**3 - 61128*m**2 - 63492*m.\nAnswer: 3*m*(m - 26)*(m + 1)*(m + 814)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55568 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41608*741.1.\nAnswer: -30835688.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 1, o: 1, b: 1, l: 1, s: 1}. Give prob of sequence lvb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -60. Solve -5*j = -2*o + w, -o + 3*o - j - 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) + 6*sqrt(136)*1) - sqrt(136))*3*-4)\/(2*-6*((sqrt(128) - (sqrt(128) + sqrt(128)*-1)) + sqrt(128))).\nAnswer: -7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:33 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1407208 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*v + 1)*(11 - 5*v - 11) + 2*v**2 + 3*v**2 + 0*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -eb - -2104?\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.83 + 11.83. Which is the smallest value? (a) 5\/3 (b) v (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/229, 5, -0.3, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 181935396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13733, -13200, -12651, -12080, -11481, -10848?\nAnswer: -10175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtw when three letters picked without replacement from fwtwtffjfkfkwfnkffkw?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 157835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 120371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*w**5 - 106*w**5 + 4*w**6 + 6*w**2 + 23*w**5 - 97*w**5 + 124 + 45*w**5 wrt w.\nAnswer: 480*w**3 - 10440*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(19) + -3 + sqrt(19))**2 - sqrt(304)*4) + ((sqrt(114) - (sqrt(114) + -2*(-1*sqrt(114) + sqrt(114)) - sqrt(114)))\/(sqrt(900)\/sqrt(6)))**2.\nAnswer: -28*sqrt(19) + 2144\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 6*t**2 - 6*t - 6. Let q be v(8). Let g = 9 + q. Suppose -18 = 5*j - g. What is the greatest common factor of j and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {l: 1, c: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -v - 132, -3*v + 23 = 4*r - 109. Suppose 4*b + 4*h - 40 = 52, -5*h = -b + 11. Calculate the least common multiple of b and r.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -55507*a**2. Let s(p) = -3*p. Give s(v(r)).\nAnswer: 166521*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*o - 4*o = -11, -4*o - 3 = z. Let m(w) = -w**2 - 4*w + 7. Let i be m(-5). Factor z*v**2 + 2 - 2*v**i - 5.\nAnswer: 3*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 1*sqrt(102))*6 + sqrt(102) - sqrt(102))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 13. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Suppose 19070*w - 19099*w = -87. Solve 3*j - z = 2*l, 2*l - w*j + 8*j - 7 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + t + 1, -7*r + t + 16 = -3*r. Suppose -4*u - 25 = -9*u. Let c(d) = -d**2 + 4*d + 7. Let b be c(u). Solve -i = 0, b*i = r*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 787401, 1574804, 2362207, 3149610, 3937013?\n\"Answer: 787403*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 8 = 2*m, -9*m + 12 = -8*m + 5*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 + 23*o - 94*o**3 + 17*o + 0*o**2 + 70*o**3 + 4*o**2.\nAnswer: -4*(o + 1)*(2*o - 3)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -860.6 + 800. Round u to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4437)\/493*9\/(-6)*(-96)\/(-27).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is acb (base 16) in base 13?\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 95, 971, 3381, 8093, 15875, 27495, 43721, 65321?\n\"Answer: 128*i**3 - i**2 - 17*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*(-27)\/((-351)\/26). Let f(u) = 17*u**3 - u**2 - 1. Let x(m) = -m**3 - m**2 - 1. Calculate p*x(s) + f(s).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1853*(-344)\/(-1462))\/((3*2)\/((-9)\/(-6)))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 294 + 294 - 6*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -417, -1357, -3193, -6225?\nAnswer: -10753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -894 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 7*y**2 - 6*y + 5. Let n = -17 - -11. Let v be i(n). Suppose 285 = v*w + z - 3, 0 = 4*w - 4*z - 240. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -262708.\nAnswer: -1\/262708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.6 + -128.3. Round q to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105 - -73. Let k = p - -33. Let x(d) = -d**3 + d**2 + 2*d - 1. Let w be x(2). Is w bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 11, 0.4, 4, -2, -6.17 in descending order.\nAnswer: 11, 4, 0.4, -0.4, -2, -6.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 272*m**4 - 3*m**2 - 2219*m wrt m?\nAnswer: 3264*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 6*b**2 + 15*b + 56. What is z(-5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5677210953 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14315449744 - -10\nAnswer: -14315449734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:59 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1994876 and -145\/1362.\nAnswer: 5984628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3*g + 2*g = 7, -3*g = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-368)\/92*(-2)\/(-52). Let h = -169 - -173. Sort h, 2, 0.3, t in descending order.\nAnswer: h, 2, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (439200006\/10)\/(13\/130). Let z be (-3)\/12 - x\/(-24). What is z rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 0*b = -2*n + 1, -b + 4*n = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -10. Which is the nearest to -1? (a) 2 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-85)\/(-7))\/(-12 + (-3380)\/(-280))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 50*c = 6, 5*m + 15 = -3*c + 5*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 636*s**2*v**2 + 2*s**2*v + 1292*s**2 - 2*s*v**2 + 48*s*v - 9*s + 9*v**2 - 10*v wrt s.\nAnswer: 1272*v**2 + 4*v + 2584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52385597 < 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*w**2 + 848*w**2 - 1318526*w - 38*w**3 + 1318526*w + 40*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686172421.\nAnswer: 17, 599, 165587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -680, -1362, -2044, -2726, -3408, -4090?\nAnswer: -4772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 12*q + 16. Let d(y) = y**2. Let u be d(-4). Calculate the least common multiple of u*(4\/(-10))\/(16\/(-20)) and n(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1230)\/(-164)*(-552)\/115?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9063 + 9068. Solve 5 = t*f - n - 0, -20 = 4*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154949\/4 less than or equal to 38738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 302028 divided by 11\nAnswer: 302028\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -4*x - 4, 89*c = 41*c + 92*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9009619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, 2, -3, 295, -9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1919 + 5763 - 1910 + 2*z - 1920. Give v(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + -140?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 769 - 770. Which is the nearest to 0.34? (a) y (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 55*n + 819. What is o(-25)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33315 is divided by 8321.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/264 and 3\/5320.\nAnswer: 175560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhl when three letters picked without replacement from {l: 7, h: 5}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 131 in increasing order.\nAnswer: 1, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9467443 + 6626243. What is j rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219 - 212 + 12*t**2 - 3*t**2 + t**2.\nAnswer: 10*t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.5 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by -23.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**3 - 99*a**2 + 4*a + 9. Let t(n) = 5*n**3 - 97*n**2 + 3*n + 7. What is -3*h(k) + 4*t(k)?\nAnswer: -k**3 - 91*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/18 + 58\/(-6). Let x(p) = -p**3 - 10*p**2 - 8*p + 11. Let u be x(v). Suppose -u*c - 789470 = -11389470. What is c rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -5, -1\/12, -4\/15, 5 in ascending order.\nAnswer: -5, -4\/15, -1\/12, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eezu when four letters picked without replacement from {z: 1, b: 2, p: 1, e: 2, u: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298528592.\nAnswer: 2, 23, 157, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*h**2 - 3*h**2 - h**2)*(2 - 2 - 2*h).\nAnswer: 8*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*(5 + -17))\/(-2). Let j(p) = 29*p + 65. Is j(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 10:11 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) -0.2 (c) 4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -31. What is the nearest to k in 0, 2\/17, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 972863, 971966, 971069, 970172, 969275?\nAnswer: 968378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 3. Let l(j) = -3*j - 7. Let k be (2\/(-6))\/(1\/(-15)). Let g(z) = k*r(z) + 2*l(z). Let a(p) = 3*p - 4. What is -a(m) - 4*g(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 402660 and 11185?\nAnswer: 402660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 0.0688?\nAnswer: 0.5504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2153901, -4307833, -6461765, -8615697, -10769629?\nAnswer: -12923561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 6) to base 2\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1147 + 2353\/2. Let v = 31 - c. Sort -2\/9, v, 3 in ascending order.\nAnswer: -2\/9, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 2, g: 3}. What is prob of sequence vvv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 36. Let s = 4 - x. Calculate the greatest common factor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -924, 2, 6 in descending order.\nAnswer: 6, 2, 1, -5, -924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50406)\/434 - -116)*371?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123221100 (base 4) to base 7.\nAnswer: 651060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/13))**(-33)\/(j\/j**15*j**(-15)) assuming j is positive.\nAnswer: j**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*q - 380, q + 172 = 7*x - 5*x. Let t = 189 + q. Solve 1 - t = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 8*t + 5*u + 16, 2*u = -3*t - 1. Solve 2*d + 4 - 3 = -t*f, -13 = 4*d - 5*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -3 - (-7 - 1). Suppose -g*m = -m - 492. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13384090*v**3 + 27743*v**2 wrt v?\nAnswer: -80304540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13144, 26009, 38832, 51595, 64280, 76869, 89344?\nAnswer: 101687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 11*i - 30. Let a(w) = w**2 - w - 1. Suppose 4*r = 4 - 0. Let p(d) = 2*d**3 - 2*d**2 + 2*d + 2. Give i*a(s) + r*p(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 342 + -806?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2521226 is divided by 1373.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*x + 4*x + 1 - 2*x)*(2*x**3 - 1 + 1) + x**4 + 2*x**4 - 6*x**4.\nAnswer: -37*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4 - 10\/(-4). Is p at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113 (base 5) in base 11?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 47*a - 123*a + 67*a. Let t(h) be the third derivative of -h**4\/6 - 5*h**2. Let w(g) = -3*k(g) + 7*t(g). Let j(l) = 50*l. What is j(w(q))?\nAnswer: -50*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*1*(-7)\/21. Suppose h*y - 2*p + 62 = 0, 2*p - 27 - 7 = 3*y. Let k = y - -21. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279 = 406*g + 873*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*w**3 - 186*w**3 + 3*w**2 - 407*w**3 - 158*w**3 - 53*w + 206*w wrt w?\nAnswer: -4614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + (-2 - -5))*29. Let d = g + 73. What is the highest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/5 + 513*n + 47652\/5.\nAnswer: 3*(n + 19)*(n + 836)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17 and -293.\nAnswer: -49.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38482768659666 + 48411310098082017\/1258. Let j = p + 175374912\/17. Let z = 81055 - j. What is the common denominator of z and 99\/2?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -24*a**2 + 4*a + 5. Let z(n) = 12*n**2 - 2*n - 2. Let h(x) = 2*b(x) + 5*z(x). Let o(y) = y**2 - y. Calculate h(s) - 2*o(s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001408 divided by -10424?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-28)*(-8)\/(-50)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49.4 + 111.6. Let t = -161.5 + x. Put t, 4\/7, 14 in descending order.\nAnswer: 14, 4\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -72. Sort 4, y, 0.3, 2 in increasing order.\nAnswer: y, 0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73266 minus -63?\nAnswer: 73329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.9994 - 4. Round s to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1020 + -1722. Let m(s) = -s**3 + 7*s**2 + 4*s - 9. Let x be m(14). Let i = y - x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7139 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 265142*r**6 + 13*r**2 - 6*r - 208 wrt r.\nAnswer: 31817040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f**2 - 512*f + 2651. Give l(-78).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 + 2*h - 2*h)*(-6*h + 33 - 33).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-8) - 0)\/((-43)\/(4386\/3332) + 31)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and 0.0942?\nAnswer: 0.6942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(175) - 2*sqrt(175))\/sqrt(5))\/(sqrt(55)\/sqrt(44)))**2 + 5.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18075 and 600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 2*b + 38. Let t be f(7). Suppose l - 3*u = 17, 3*l - u = t + 8. Solve -2*x = 6 + l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g + 5706 - 2010 = 106*g for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/2658160 and 43\/35760.\nAnswer: 7974480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 497 + -494. Let a(m) = m**2 + 2*m. Determine a(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k. Let n(b) be the third derivative of 15*b**4\/4 + 4*b**3\/3 + 1135*b**2. Give n(c(i)).\nAnswer: 360*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -62202 - 1313996402\nAnswer: -1314058604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21 and -0.23?\nAnswer: 20.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*f - x - 4, 0 = 2*f - 3*x + 8. Find the third derivative of 13*r**4 + 6*r**4 + 2*r**4 - 142*r**f + 123*r**2 wrt r.\nAnswer: 504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.66 - 0.46. What is the smallest value in n, 5, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11660132 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21640936.\nAnswer: 2, 827, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1)*(-10 + 10 + s) + 3*s + 2*s - 3*s + (-5*s + 3*s + 0*s - 3*s + 0*s - s + (0 + 6 - 4)*(-1 + 1 + s) + 4*s + s - 4*s + 2*s - 1 + 1)*(-1 - 2 + 2).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 3*x)*(-3 - 1 + 3)*(x**3 + 2*x**3 + 0*x**3).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 3*n = -70. Suppose 3*a + 2*w + 4 = 0, 4*a - 5*w + n = 47. Suppose 2*i + a*i = 188. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1236, -2476, -3716?\nAnswer: -4956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -33. Let c(k) = 13*k - 2. Let b(z) be the first derivative of -3*z**2 + z - 1645. Give f*c(a) - 5*b(a).\nAnswer: -9*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 24?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*(sqrt(132) + (-1*sqrt(132) - sqrt(132))))\/(sqrt(108)*-1) + 3 + -5 + 4 + sqrt(33)\/sqrt(3)).\nAnswer: -sqrt(11)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 60. Suppose 29*q + 336 = p*q. Is -16 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001 (base 8) in base 15?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -186.8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwww. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 568908022 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 - -56. What is the common denominator of ((-390)\/z)\/(4\/3) and -65\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 - 3*b + 1. What are the prime factors of t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -157 and -4766.2?\nAnswer: 4609.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -8 + -2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 8. Let y be s(6). Let n be 0 - ((-7)\/165)\/1. Let k = n - -1\/11. Which is the closest to -0.1? (a) -5 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*19549161\nAnswer: -78196644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 553368.\nAnswer: 1\/69171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5436395933?\nAnswer: 179, 30370927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21201 (base 4) to base 5\nAnswer: -4414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*c + 732 = 2*o, o - 2*c - 248 = 0. Suppose -5*l + 38 = -o. Suppose 0 = -2448*r - 4478*r + 290892. What is the greatest common factor of r and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 3*x + 0*x**2 + 1\/2*x**3 + 0. Let u(z) = 2*z**2. What is v(u(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 236 and 356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1317 - -1323. Is v greater than 242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33316*s + 33306*s + 1350460. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925634*f + 6480 = -925714*f for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 = -8, -m + 21 = 3*l. Solve -27 = m*z + 45 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 332 and 332 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 7, 0, -1, 623?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/7 - 234*d**2 - 70100*d + 492336\/7 = 0 for d.\nAnswer: -234, 1, 1052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62143866 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 13. Let g = 1.45 + 3.55. Which is the third smallest value? (a) p (b) g (c) -2\/3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 4*a + 4*a)*(6*a**2 - 3*a**2 + 0*a**2)*(1 + 6*a - 1)*(-2*a + a - 6*a).\nAnswer: 126*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000011110 (base 3) in base 2?\nAnswer: -10000001110001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**5\/17 + 22*a**4\/17 + 40*a**3\/17 + 22*a**2\/17 - 8*a\/17 - 8\/17 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 184 + 208 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 - -12?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3051.598 millennia to centuries.\nAnswer: 30515.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/19627, 3\/13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -683, -1364, -2045, -2726, -3407?\nAnswer: -4088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102\/(-4)*(72 - 94) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 11. Calculate n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5. Let w be (-82)\/(-30) + 3*(-4)\/4. Are w and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*z**3 + 1 + z**3 + 3*z - 3*z + (-3*z**3 + 3*z**3 - 3*z**3)*(3 - 1 - 1) + 0*z**3 + 7*z**3 + 0*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4425 is divided by 138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24859, 24852, 24833, 24796, 24735?\nAnswer: 24644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -19. Let d(r) = r**3 - 6*r**2 + 3*r - 9. Calculate the smallest common multiple of d(t) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*k + 630 - 634 - 7*k.\nAnswer: -76*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t**2 + 17. Let o be (1 + -2)\/(3\/(-12)). Let a(m) = 2 - 6*m**2 + o*m**2 - 5. Suppose 0 = -325*r + 332*r - 238. What is r*a(p) + 6*c(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*h = 10, -5*b + h = -2*h + 4. Suppose -21 = -3*f - 3*o, -3*f = -2*o + 3 + b. Sort f, 33, -2, 1.\nAnswer: -2, 1, f, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*2*7\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110111111011 (base 2) to base 3.\nAnswer: -1211212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 6:21 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tssbbbffbx. What is prob of sequence xfs?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 6*u + 4. Let z be x(3). Let q = -5.9451 + 5.9451. What is the second smallest value in -2, z, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836 = -463*l - 5929 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - y - 1. Let z be f(2). Let r be z\/4 + 9\/12. Sort -5, r, 1.\nAnswer: -5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 a when three letters picked without replacement from aaxxaxxxxx?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2, 4, 0, -3 in descending order.\nAnswer: 4, 0, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.143 or -1.74024?\nAnswer: -1.74024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, -27, -137, -361, -741?\n\"Answer: -7*v**3 + 6*v**2 - 7*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 24 + 872\/13*g + 226\/13*g**2 - 10\/13*g**3 = 0.\nAnswer: -3, -2\/5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -166*f**2 - f**3 + 338*f**2 - 175*f**2 + 1 in the form h*f + y*f**2 + w + z*f**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*o - 8 = 2*y, -5*y = -4*o - 47 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 15*p + 15*p)*(-p - 6*p + 5*p) + 0 - 2*p**3 + 0 + (-1 - 2 + 6)*(p**3 - 3*p + 3*p) - 2*p**3 + 2*p**3 - p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/5 in -0.8, 3, -213, -2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151826 (base 12) to base 10.\nAnswer: 355422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80260108 is divided by 3045.\nAnswer: 3043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 400 and 450.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5334 and 4776978?\nAnswer: 33438846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 9*f**2 + 7*f - 2. Let h be r(8). Let l(x) = x**2 + 9*x - 10. Let k be l(h). Suppose 1 - 5 = 2*p. Put -1, p, k in descending order.\nAnswer: k, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1622 = 70*r - 1412 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394732557 a multiple of 2783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 12*n**2 - 12*n - 3. Let p be u(13). Let l = p + -6. Suppose -3*b + 8 = b. Is b at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002252 rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33059305 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/11 + 56648*g\/11 + 4601610\/11 = 0.\nAnswer: -81, 28405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -16. Let o(c) be the second derivative of -c + 0*c**2 + 0*c**s + 0 - 1\/15*c**4 + 2\/75*c**6 + 1\/15*c**3 - 1\/105*c**7. Let o(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w**2 + 1 + 4 - 1 + w**2 wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/24*-6)\/((-84)\/32).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, p: 3}. Give prob of sequence app.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5032 - 432223?\nAnswer: -441255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137 - -131. What is the remainder when -2*(-24)\/(-9)*w is divided by ((-68)\/(-6))\/((-10)\/(-15))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 equal to 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 121641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613235*c + 306730*c + 306505*c - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 854317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(17\/((-136)\/120))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28 + (-3)\/(-3) + -2. Suppose -3*d = 6, 3*o - 2*d - d - h = 0. Let c = -5 + o. Solve c*n - 7 = 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2 + 702*i + 12801 = 0. Calculate i.\nAnswer: -17, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5125324 or -5125284?\nAnswer: -5125324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2396*b**3 + 2*b**2 + 2*b + 2. Let h(n) = -203661*n**3 - 171*n**2 - 171*n - 171. Give 171*f(k) + 2*h(k).\nAnswer: 2394*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1454, -2911, -4398, -5921, -7486?\n\"Answer: -x**3 - 9*x**2 - 1423*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3697 divide 120185241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41753 - 41753 + 45*m)*(-m**2 + 3 - 3)*(-1 + 4 - 2) + 2*m**3 - 2*m**3 - m**3.\nAnswer: -46*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3132 - 5701. Suppose -1531 = -3*t + 2*t. Let i = r - t. Round i to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9276858, -9276859, -9276860, -9276861, -9276862, -9276863?\n\"Answer: -l - 9276857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80425 is divided by 98?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 + 6994\/(-18). Let p = -262 - 128. Let j = w - p. Calculate the common denominator of j and 13\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 480?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (2 - (28 + -21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8588 - 7909.16. Let t = -679 + k. What is the third biggest value in t, -0.1, 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*l = 6*k + 30, -k - 3*l + 26 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a factor of 207748156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -124\/205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*d + 32 = 0, d = 4*j + 15 + 36. Let z = 17 + j. Sort z, 0.1, 2\/9 in ascending order.\nAnswer: 0.1, 2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50052*d**5*z**2 - 719*d**2*z**2 - 12*z**2 wrt d.\nAnswer: 3003120*d**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-3)*162\/(-270)*(-7)\/(-28)*-10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-789)\/(-78) - 10)*(-4)\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 divided by 659892.\nAnswer: -68\/164973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*m = 4, -m - 3 = -3*d + 2*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -4620) + (-3 - 0\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1567142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 7*z - 9. Let b(r) = 3*r**2 - 20*r - 23. Let k(n) = -4*b(n) + 13*x(n). What is k(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)*-2)\/sqrt(2) - (3 + -4*sqrt(19)) - (-2 + (sqrt(76) - (-2 + sqrt(76)) - sqrt(76))*1 + sqrt(76)))**2.\nAnswer: -12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyydddyyydyyyl. Give prob of picking 3 d and 1 l.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 146 - 2. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110.7 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 + 4.1. Sort -5, -0.3, d, 0.6 in descending order.\nAnswer: 0.6, d, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 26*n - 22*n - 4*l, -2*n - 5*l = 28 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/26, 156, 12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 39183 - -7\nAnswer: 39190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 25*w**7\/42 + w**6 - 61*w**5\/20 - 11*w**4\/6 + 6*w**3 - 4*w**2 + 2*w - 2. What is b in c(b) = 0?\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -21*q**3 + q**2 + 10*q - 24. Let a be n(2). Is 3 a factor of 87 + 0 - a\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 201?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18835? (a) -1\/7 (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*h**2*j - 2*h**2 - 5810*h*j - 232646*h + 551*j - 97 wrt j?\nAnswer: 7*h**2 - 5810*h + 551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -34. Which is the third biggest value? (a) s (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 16*z**2 - 15*z - 13. List the prime factors of n(17).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.04 (b) -10 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a29a (base 11) in base 3?\nAnswer: 2011220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -919, -1758, -2611, -3484, -4383, -5314?\nAnswer: -6283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 85, 86, 87, 88, 89, 90?\n\"Answer: k + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13552\/65 or 209?\nAnswer: 13552\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 266*w**3 + 17*w**2 - 5*w - 11. Let n(x) = -53*x**3 - 3*x**2 + x + 2. What is -2*h(r) - 11*n(r)?\nAnswer: 51*r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 7:01 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26461, -26466, -26475, -26488?\n\"Answer: -2*f**2 + f - 26460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*l - 4 = -143*l. Solve 0 = w - 3, -o + 2*w = -l*o + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1*(26 + 0). Suppose 4*l = 7 + q. Suppose -s - 3*s + l = 0. Solve s*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(8448\/40)*((-2090)\/(-500))\/19.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 2 - (1 + (-3)\/6))*16. Solve 15*r + c*r - 142 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2. Let z = 606 + -606. Let g(s) be the third derivative of z + 0*s**3 + 1\/12*s**4 + 0*s - 7*s**2. What is j(g(t))?\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 27*p - 18. Let o(s) = 5*s - 3. Let k(j) = -11*o(j) + 2*y(j). Suppose 2*z + 3*z + 25 = 0. Give k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117.9249 - 118. Round w to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 5*u + 4. Let a(i) = -4*i + 3. Let w(h) = -4*a(h) + 3*b(h). Let z(f) = -f**2 + 6*f + 4. Let d be z(6). Let t be -6*d\/6 - -3. What is w(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 650 or 649?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1322409, -2644812, -3967215?\n\"Answer: -1322403*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.5 (b) -0.4 (c) 1\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26622 + -26622.0012123. Round b to 5 decimal places.\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12797 - -12806. Solve o - 14 = 2*g + 3*q, 4*q + 15 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -3421\/1112?\nAnswer: -3421\/1112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -1bd2?\nAnswer: 1bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42969, -85940, -128917, -171900, -214889?\nAnswer: -257884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - (-4 + 2)) + 3 - -210. Let t = c + 111. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 843 = -2*d. Suppose -2*u - d = -2*n + u, -5*u + 289 = 2*n. Suppose -4*y + n + 894 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 12*g - 44 = -12*s, 33 = -65*s + 68*s - g for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + c)*(-c + 5*c - 2*c) + (-5 - 9 + 9)*(84*c**2 - 460 + 460) + 0*c**2 + c**2 - 2*c**2 + (3*c + c - 6*c)*(-7*c + 3*c + 2*c) - c**2 + c - c.\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert 803 (base 10) to base 9.\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.1, 10, -10, -5, -1\/5, -94, 2?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/2 and -85\/302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Let w = -14 + 16. Suppose -5*a = 6*s - s - 35, w = -4*a + 2*s. Suppose -5*f + 5*d = -25, f - 10 = a*f + 2*d. What is g(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 1690.\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 355440 divided by -35544\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjqjqj. Give prob of sequence qjjq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 13953 = -3278. Suppose 10*g - 3*g - r = 0. List the prime factors of g.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 33 - 7 + 1515*w - 8 - 7 in the form n*w + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 390? (a) 1\/3 (b) -0.08 (c) 5.68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -175, -2\/7, -4, 15\/397, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.5, 28\/13, 0, 7 in ascending order.\nAnswer: -4, -0.5, 0, 28\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 2*w + 8. Let g be s(-4). Suppose z - 4*z + 1326 = g. Suppose 3*f + z = 2329. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 75\/2 of a gram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/168 and 5\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2313 + -3013?\nAnswer: -11332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-3)\/10*(-31602)\/(-14427)?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13338*h**2*x**3 + 2451*h**2*x**2 - 106*h**2*x - 2*h**2 + 2*h*x**2 + h - 33*x**4 wrt x.\nAnswer: 80028*h**2 - 792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10627266\/217 at least as big as -48974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 + -144. What is the second derivative of x + 4*p + 0 + 64*p**5 - 102*p**5 wrt p?\nAnswer: -760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/84 and -107\/52.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**3 - 13*i**2 - 18*i - 27. Let s(w) = -w**3 + w**2. Let z(q) = -l(q) - 5*s(q). Let v be z(10). Solve -4*f = -v*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-25)\/10*2)\/(-1). What is the greatest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -628908 by -52409.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32323 is divided by 5386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-4390)\/3) + (-2)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + n**2 + 3*n + 289. Is d(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4 - 1242*p**3 - 81843*p**2 - 307692*p = 0. What is p?\nAnswer: -333, -77, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33\/25 + 3449\/2575. Let i(u) = -u**3 + 5*u**2 + 5*u + 10. Let n be i(6). Suppose -2*z + 10 = 0, 4*h = 6*h - n*z + 20. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 54 = -3*d, -16 = -2*m - 0*d + 3*d. What is the first derivative of -1 + 0 + m*j - 17*j wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ngkgnjcqggqqqc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknnkkanvolo. Give prob of sequence nv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.294 and 5.00623.\nAnswer: -1.47183162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 13, z: 3, j: 4}. Give prob of sequence czj.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114199*o**3 - o + 22289 wrt o.\nAnswer: 685194*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 712791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-6) + (-2)\/(-3). Let y be 3\/(-1 - (0 - -4)). Let r = 0 - 1. What is the closest to y in b, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 40*r**2 - 4*r - 4. Let l(z) = 2*z**3 - 81*z**2 + 7*z + 7. Calculate -4*l(o) - 7*x(o).\nAnswer: -o**3 + 44*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 + -58. Let b(r) = r**3 - 10*r**2 + r - 7. Let m be b(10). Let f be -2*(m - 34\/2). What is the greatest common factor of x and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:12 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/33)\/g)\/g)\/g*g*g**25 assuming g is positive.\nAnswer: g**(761\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-102)\/(55\/(-22)*3\/5) is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 18. Suppose -2*s + i*j + 3801 = -6187, -3*s + 14988 = -4*j. What is s rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(11) + 0 + 5.\nAnswer: sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*i + 12, 3*i + 5*j = 5*i - 11. Let u(h) = -h + h - h**2 + i*h**2. Let r(d) be the second derivative of d**4\/3 - d. What is r(u(o))?\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28b9 + -1?\nAnswer: 28b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 2*m**2 + 6*m - 4. Let q be k(3). Suppose q*l - 425 = 355. What is the remainder when l is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 3:25 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 84180 = 8*b. Let u = 5164 + b. Round u to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 116. Suppose 159 = -2*w - i. Let t = -43 - w. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8107 - 7884. Calculate the highest common factor of t and 3791.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z = 68*z + 15. Let n = -9 - -7.5. Let g = n + 1.3. Which is the fourth smallest value? (a) z (b) g (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let q(s) = 6*s - 5*s + 5*s. Calculate a(q(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341 (base 6) in base 14?\nAnswer: 2c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -241, -1, -4, 32, 7 in descending order.\nAnswer: 32, 7, -1, -2, -4, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 861 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 5. Let v be (-2)\/(7\/7) + (-1 - h). Suppose -6*u = -18 + v. Solve u*r - 1 = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, e: 2, q: 6}. Give prob of sequence qeqe.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 9*u**2 - 666*u + 10*u**2 + 803*u + (3*u + 2*u - 4*u)*(2*u + 7 - 7).\nAnswer: 3*u**2 + 137*u - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 12*g**4 - 907*g**3 + 19433*g**2 - 88428*g - 67860 = 0.\nAnswer: -2\/3, 29\/4, 30, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 39*l + 39. What are the prime factors of d(4)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -270, -272, -274?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1120, -2087, -3072, -4075, -5096?\nAnswer: -6135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (54\/135)\/(2 + (-123324)\/61665) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 428692954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -208, -564, -1062, -1702?\nAnswer: -2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68327 and 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 30*u + 7. Let n be g(30). Let t(w) = 3*w**2 - w + 11. Let b(p) = 2*p**2 - p + 6. Determine n*b(k) - 4*t(k).\nAnswer: 2*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -4. Let u = -0.038 + 30.938. Let g = u + -31. Put a, 0.5, g in decreasing order.\nAnswer: 0.5, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = 2*s - 3, 2*o + 14 = 4*s. Let b(d) = -4*d + d**2 - 3 + 2*d + d. Let p be b(o). Solve 4*f + 0*f + p = 3*c, 3*c - 3 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48804*b**2*d**3*y**2 - 3*b**2*d**3 - 31*b**2 - 8*b*d**2*y**2 + 2*b*d*y - 43*y**2 wrt d.\nAnswer: 292824*b**2*y**2 - 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -315 * -0.56.\nAnswer: 176.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11413 - 6522. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*((2 - 8)\/3 + 3). Let u be (0 - -5)*(-1)\/1. Which is the second smallest value? (a) 1\/7 (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -39, -114, -259, -498, -855, -1354?\n\"Answer: -4*y**3 + y**2 - 4*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82700?\nAnswer: 2, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:18 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e (base 15) in base 7?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 + 0.86. Let v = 0.014 + 0.086. Is v at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -97, -5 in descending order.\nAnswer: 9, 0, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juk when three letters picked without replacement from kjjuvjt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7277\/1416 + 41\/118. Find the common denominator of f and ((-161)\/35 + -3)\/(-8)*1.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 18*s + 12. What is o(-14)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:30 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/5)\/(331\/(-4965)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 335 + -335. Suppose 3*t = 5*n - 22, m = -3*t - n + 6 + 2. Solve 0 = 5*b + 3*y - 4, -b - y = t - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 4*d = -45. Let b be 2\/d + 102\/(-27). Which is bigger: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 7*b = -6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 12*x - 14. Calculate the smallest common multiple of n(-14) and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/13? (a) 0.03 (b) -2 (c) 2 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-196)\/70*20\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 33*h**2 + 32*h + 7. Let b be d(32). Suppose q + 2 = b. Solve 4*g = q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2 + 4. Sort 0, 1, m.\nAnswer: m, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Suppose -3*t + 647 = 5*z - 0*t, 0 = -c*t - 4. Suppose 5*d - z = 25. Calculate the remainder when d is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l - 6. Let v(j) = j + 1. Let d(a) = -6*v(a) - w(a). Suppose -q - 2*b = 0, 7 = -q + 2*q - 5*b. Let i(t) = -q*t**2 - 2 + 2 + 0. Give i(d(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 9, x: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 24. What is i(19)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -3621602.4.\nAnswer: -14486409.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c23c (base 15) to base 8.\nAnswer: -120057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 6 - 17 - (-20 + 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 40 - 3144*n + 2971*n.\nAnswer: -173*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*h**2 - 67*h**2 - 55*h**2)*(-4*h + 4*h - 3*h**2).\nAnswer: 177*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o. Let y = 30 - -5. Let u(i) = -y + 35 + 29*i. Calculate b(u(x)).\nAnswer: -87*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y - y + 2*y**2 + 7*y**2 - 4*y**2 - 6. Let o be c(-5). Suppose 8 = 3*a + 2, 5*b - 8 = a. Solve b*s = -0*s + o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 869153 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -39, -72, -125, -204, -315, -464, -657?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1651 divided by -15\nAnswer: 1651\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 84606911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 20*v - 40*v. What is the remainder when -1 - -1*9*2 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99645 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*d**3*q**3 - d**2*q**3 - 33*d**2 wrt d?\nAnswer: -1146*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3210549*p**4 + 2*p**2 - 84327 wrt p.\nAnswer: 77053176*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/16185203 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 + 8 + 8 - 12) + (11 - 11)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(3 + 2 - 4)*(134*y - 134*y - 20*y**3).\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and (-3)\/(-1)*(15\/(-12))\/(4\/(-112))?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - -10*1\/2. Let x be (m - 2\/(-6))\/(192\/(-864)). What is the closest to 0.1 in 1, -11\/2, 4, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, 3.8, 0.2, -128?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-6))\/(-2*(-9)\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1738 divide 22254759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 120, 176, 230, 282?\n\"Answer: -x**2 + 59*x + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 464*s - 454*s. Solve -t + s = 5*z, 4*t - 3*z - 7 = 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*b**4 - 28*b + 2*b**4 + 27*b + 35*b wrt b.\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21053266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -21, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1259, -1313, -1367, -1421?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/9 - 64*o**2 - 11336*o\/3 + 70304\/9 = 0. Calculate o.\nAnswer: -52, 2, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 3*x**3 + 10 + x - 15 + 10*x**2. Let c be j(10). Sort 2\/7, c, -3\/5.\nAnswer: -3\/5, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 43. Let q(d) = -d**3 - 5*d**2 + 3. Let f be q(i). Solve -4*m = f*c - 0*c + 27, 2*m + 31 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 370980 to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 164*l**2 + 310*l + 82. What are the prime factors of a(82)?\nAnswer: 2, 41, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*o + 154 = 14*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-272)\/(-1496))\/(((-2)\/55)\/((-4)\/40))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)\/b*b)**(1\/2)*b*b\/((b*(b*b\/(b*b\/b**(-1\/3)))\/b)\/b)*b*b*b**(-6\/11))**17 assuming b is positive.\nAnswer: b**(20927\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 41. Let w = n - -33. Let l be (2\/w)\/((-7)\/(-70)). Solve 6 = r + l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112 (base 7) to base 2.\nAnswer: 1011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(((-1)\/(-1))\/(-2)). Suppose -100 = p + 4*p. Let c = p - q. Solve 5*g + 3*l = -0*l - 4, c = -2*g + 2*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 - -11 - 4\/2. Let d be (u - 0)*(-3 + 145\/(-5)). Let q = 120 + d. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2961466.\nAnswer: -5\/2961466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 11*y - 20. Let u be g(10). Let o be u*(0 - 2)\/4. Let 4*b**3 + b**5 - 11*b**5 - 12*b**4 - 6*b**o = 0. What is b?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*-3*(sqrt(20)\/(sqrt(20)\/sqrt(5)) - (sqrt(15) + (sqrt(15) - sqrt(30)\/sqrt(2)))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1178, -4, -5, 2 in decreasing order.\nAnswer: 1178, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + (-2 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -6313.\nAnswer: -15\/6313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 20313*v**2 - 9*v - 44. Let o be f(-4). Round o to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*r + 7, 2*g + 0 = 2*r - 6. Suppose -4*f = -23 - g. Suppose -f = -5*j + 74. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5566*n + 146855 = 421*n + 404105 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4\/6 - 1985*l**3\/6 - 53203*l**2\/3 - 247190*l\/3 - 96500 = 0.\nAnswer: -1930, -50, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -158*p + 158*p + 6*p**2 + (3 + 4 - 4)*(-2*p**2 + 5*p**2 - 2*p**2).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*f = 5*t - 1042, -10*f = 1853*t - 1856*t - 121 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30754537.\nAnswer: 11, 487, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*t - b, -3 = 2*t - 5*b - 5. Solve -x = x + t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - 2*q**4 + 8*q + 13*q**2 + 7*q - 12*q in the form j*q**4 + d + r*q**2 + x*q**3 + v*q and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/149 or -1?\nAnswer: 5\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 3 + 14*w**2 + 35*w - 91\/3*w**3. What is the derivative of n(y) wrt y?\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 - -51. Let l = x - -91. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827153 is divided by 772.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -1, 2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7423 smaller than -1699848\/229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 229.1195kg?\nAnswer: 229119500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/60)\/((-3)\/(-5)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 0, -7, 3 in increasing order.\nAnswer: -7, 0, 3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/6)\/(-5)*-10*(-45)\/1050.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -382094 by 37.\nAnswer: -382094\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/(-6))\/((-182)\/(-208)). Let h(p) = -p**2 + 5*p - 2. Let v be h(6). Let k be ((-6)\/8)\/((-2)\/v). What is the closest to 1\/3 in k, 5, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 - 2*p + 3. Let v be -1 + 36\/27 + (-38)\/6. Let u(t) = 2*t + 14. Let k be u(v). Calculate f(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 26. Let i = 111 - 441\/4. What is the second smallest value in i, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-10) - (-7)\/14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1223\/11 + -111. Factor -a*w**5 + 0 + 4\/11*w**4 + 0*w**3 - 4\/11*w**2 + 2\/11*w.\nAnswer: -2*w*(w - 1)**3*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -12. Which is the closest to p? (a) 0.03 (b) -0.4 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, b: 5, x: 3, u: 1, g: 2, t: 1}. Give prob of picking 1 b and 2 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 16*w**2 + 34*w + 38. Suppose -t + a + 12 = 0, -5 = t + a - 23. Is r(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1420 + 22432?\nAnswer: 21012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-863706)\/24577)\/((-6)\/14)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 - 82. Solve 2*r + 2*r = -a*s + 6, -4*s + 8 = -4*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 2*v - 53, -175*l + 180*l - 32 = 3*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**5 + 8*z**3 + 7400*z**2 + 2*z + 2011611 wrt z.\nAnswer: -40*z**3 + 48*z + 14800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n**4 - 1\/15*n**6 + 7\/60*n**5 - 9*n**2 + 0*n + 0 + 0*n**3. What is the third derivative of f(i) wrt i?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(210\/(-12)) + (-22)\/(-5). Is s less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/5 + 7\/7. What are the prime factors of ((-20)\/(-4) - -62) + z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**4\/8 + 6*u**2 + 7*u. Let r(m) = -m + 16. Give r(w(z)).\nAnswer: -3*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33\/8 + -3\/8. Is -5 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = 3*x + 14, 0 = -2*j + 2*x - 10. Sort -3, j, 3.\nAnswer: j, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1.2. Let x = 139 + -140. Suppose -8*d + j - 17 = -3*d, 9 = -3*d + j. Which is the third smallest value? (a) x (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21554 - -21580. Let j(u) = 2*u**2 + 4*u - 4. Let s be j(-5). Calculate the highest common factor of s and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2576421853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -721\/3 and -239 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24621, 24619, 24615, 24609, 24601?\nAnswer: 24591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 1:12 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -37*t + 3. Let y(q) = 32*q - 3. Let v(m) = -3*c(m) - 4*y(m). Let p(w) = -630*w + 112. Determine 3*p(b) - 112*v(b).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-12)\/45)*(-4)\/(6\/3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 11. Let q be 5*(12\/(-15) + d). Let i be 2*q*(-3)\/300. Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*((sqrt(196)\/sqrt(100) - sqrt(784)*-3)\/(-3*sqrt(175)*2))**2.\nAnswer: -26047\/22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 853*q**3\/3 - 1053*q**2\/2 + 4498. What is the second derivative of f(u) wrt u?\nAnswer: 1706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1028227 and 112563.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(243) + -1 - (sqrt(243) - ((sqrt(243) + sqrt(243) + sqrt(243) + -1 + sqrt(243))*6 - sqrt(243))))**2.\nAnswer: -3024*sqrt(3) + 140017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3092\/173 + 2027191\/110374. Let n = f - -2\/319. Factor -n*o**5 + 0*o + 0*o**2 + 0 + 0*o**3 + o**4.\nAnswer: -o**4*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-753087\nAnswer: 3012348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50, -166, -360, -632, -982, -1410?\n\"Answer: -39*a**2 + a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7945 is divided by 719?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -510, 4, 3, -3, 5, 10 in decreasing order.\nAnswer: 10, 5, 4, 3, -3, -510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1660*l**2. Let j(k) be the third derivative of -2*k**5\/15 - 3774*k**2. Calculate f(j(t)).\nAnswer: 106240*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjoojjojjjjjjojj.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 152*m + 784. Give d(69).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = f. Suppose -5*p + 22 = -f. Does 6 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4633980208 - 4633980208 + 387*o**3.\nAnswer: 387*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 - -0.4. Let r = j - 4. Let n = -110.3 + 114.3. Which is the closest to r? (a) n (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/22952365 and 72\/35.\nAnswer: 160666555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(30\/(-40)))\/(-8 - (-5184)\/656)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 - 43 + 2*w**3 + 3*w - 2*w**2 - 50 to the form a*w + v*w**2 + j*w**3 + y and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 - (5 + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)\/d*d)\/d**(-7))**(-32)*(d**(-2))**(-26\/7)*(d\/d**2)**(2\/55) assuming d is positive.\nAnswer: d**(-9474\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -351451 (base 7) to base 9\nAnswer: -105371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 74, 222, 512, 992, 1710, 2714, 4052?\n\"Answer: 8*b**3 - b**2 + b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 7. Let o be k(8). Differentiate 0 + o - 14*b - 8 - 7 with respect to b.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 4*b - 5. Let o be a(-1). Let c = -157.8 + 157.7. Put c, o, 5, 18 in increasing order.\nAnswer: o, c, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23\/3109 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/2)\/(d*d**(2\/5))*d**(-4)\/d*d*d**(-3\/4)*d*d assuming d is positive.\nAnswer: d**(-113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = 2*u, w - 39*u = -44*u + 24. Let p(b) be the second derivative of -41*b**3\/6 - b**2 + b. Does 13 divide p(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14547, 14342, 14201, 14124, 14111, 14162?\nAnswer: 14277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/4 + 4*s**3 - 3*s**2\/2 - 6. Let z be d(-12). Let b = -10 + z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -294255 and -4.\nAnswer: 1177020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/17 + 5110148*o\/17 + 2705382.\nAnswer: -2*(o - 2555083)*(o + 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 2*w**2 + 3*w + 1. Let k(s) = -s**2 - 8*s - 9. Let u(a) = a**3 - a - 1. Suppose -6*o - 6 = -3*o. Let d be u(o). Let l be k(d). Give x(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 9:56 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -213, -100, 141, 552, 1175?\n\"Answer: 7*j**3 + 22*j**2 - 2*j - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - w**2 + 4 - 4*w - 2*w**2 - 3*w**3 + 10 to the form q + j*w**3 + d*w + m*w**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/11661 and 63\/676.\nAnswer: 46644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 159)*1\/(-1). Suppose d + n = 190. What is the remainder when 63 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206796 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 433\/3)\/(4\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a week in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -401*j**6\/6 + j**5\/5 + 4*j**3 + 2*j + 4399. What is the third derivative of f(x) wrt x?\nAnswer: -24060*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -53*p**3 + p**2 + 6*p. Let x(g) = -52*g**3 + g**2 + 7*g. What is 7*c(u) - 6*x(u)?\nAnswer: -59*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628895594?\nAnswer: 2, 263, 919, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2531*z + 81*z**2 - 2531*z)*(1 + 2*z**2 - 1) as h*z**3 + f + n*z + y*z**2 + g*z**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + v + 5. Let x be q(0). Let a = x + -23. Let m be (-3 - -6)\/(a\/4). Is -2 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 249 = 977. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmooomooo. What is prob of picking 2 o and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1292726715.99999982 - -1292726733. Let s = v - 17. Round s to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -4307.661\nAnswer: -17230.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5874 + 2?\nAnswer: -5872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**38)\/r)\/r)**(-14)\/(r**(-3\/16)\/((r*r*r*r\/(r**41*r))\/r)))**(2\/169) assuming r is positive.\nAnswer: r**(8115\/1352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h - 9*h + 42*h)*(4*h - 4*h - 2*h)*(5*h - 2*h + 13*h)*(0*h - 4*h + h) as v*h + l*h**2 + f + n*h**3 + x*h**4 and give x.\nAnswer: 3456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = 8, 3*l = -q - 15. What are the prime factors of q\/27 - (-1304)\/36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 923 to the nearest 10.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23407 and 19725.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.064 - -1.064. Let h(a) = 2*a - 3. Let m be h(4). What is the third smallest value in m, -9, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13775, 5, -491, 4 in descending order.\nAnswer: 5, 4, 3, -491, -13775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -732355*k**2 + 1464706*k**2 + 15*k**3 - 732351*k**2 + 5*k**3.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 468 + -468.4. What is the nearest to -1 in -3, v, 5\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -609, -2907, -6745, -12129, -19065, -27559?\nAnswer: -37617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + (-5 - -4) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(612) + sqrt(612) + -3)**2 - ((-1 + sqrt(612))*3 + sqrt(612))**2.\nAnswer: -9792 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:56 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 3*z**2 - 2*z**2)*(3*z - 2*z + z) - 2*z**2 + 2*z**2 + z**3 + (-z + z + 2*z**2)*(-3*z + 3*z + z).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3521, 3540, 3551, 3548, 3525, 3476, 3395?\n\"Answer: -t**3 + 2*t**2 + 20*t + 3500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2177059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 72 = -9*z. Let t be ((-9)\/(-6))\/(9\/z). Suppose t*a - 6*a = -96. Calculate the greatest common divisor of a and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/n**0)\/n)\/(n\/(n\/(n*n*n\/(n*n**(3\/7)\/n*n))))*((n*n\/(n**19\/n))\/n)\/(n**14*n*n) assuming n is positive.\nAnswer: n**(-235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + (-4)\/10. Let u = 467 + -470. Let q = -219.8 + 220. What is the nearest to 2 in u, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 918? (a) 0.05 (b) -2 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from iddhfhhhhffhfkifff?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36146064, -36146061, -36146058, -36146055, -36146052?\n\"Answer: 3*a - 36146067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5029901.2 to the nearest 10000.\nAnswer: -5030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 10, -1, -28, -77, -154, -265?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 15279132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 33*x - 171. Let a be h(26). Let b(g) be the first derivative of -1\/3*g**3 + a - g**2 + 3\/4*g**4 + 0*g. Find y such that b(y) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/3)\/((-4)\/6). Let m be (-1)\/((-20)\/(-176))*j. Suppose m*a = 39*a + 55. Solve -3*x + a = 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.081 + -4.081. Suppose 4*i - 3*i + 84 = 2*y, -y + 20 = 5*i. Let d be (-16)\/y + 46\/40. What is the biggest value in g, -4\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21493491 to the nearest integer?\nAnswer: 4636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 5*s - 2. Let k be r(-6). Solve f = k*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*h + 11. What is the second derivative of f + 2*f + 2*f**2 - h*f wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 + 62. Let w = -18 - u. Calculate the remainder when w is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50)\/(-18) - 4\/(-18). Let v(k) = k**2 - 5*k + 1. Let n be v(7). Solve -b*m + n = 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2059398 and 49\/3432?\nAnswer: 107088696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 339*f**2 - 1546 wrt f.\nAnswer: 678*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-11 - (-540)\/24))\/(1\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i + 1. Let c = -30 - -46. Let m be c\/24*3 - (1 + 1). Solve -2*z + 3*y + 15 = m, y = -3*z - i*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6714 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 108.2379l?\nAnswer: 108237.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 118\/5. Let m = 291718\/13 + -22440. Is v > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 26. Let p(j) be the second derivative of 3*j**5\/10 + j**4\/6 - j**3\/3 - 2*j. Let v(z) = z**3 - z**2 - z. Let g(y) = m*v(y) - p(y). Factor g(b).\nAnswer: -4*b**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by (-108)\/(-7)*(5 - (7 - 9))?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.045 - -0.355. Which is the closest to 1? (a) 7 (b) t (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -720*y = -20059502 + 2040062. Is y a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6688.10197426 - -1.\nAnswer: -6687.10197426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 50\/8 - (-1)\/(-4). Suppose 0 = -d*k + 3*k + 30. Solve l = -l - k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*l - 3*l + 5*l + 0*l + 4 - 4 - l + (-2*l + 2*l - 2*l)*(-2 - 1 + 2) + 2*l + 4 - 4)*(-59 - 776 - 596 - 463) to d + f*l and give f.\nAnswer: -5682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -15*r - 18. Let l be (-3)\/72*-6*r\/(-1). Factor 3\/4*d**2 + l*d + 3\/4.\nAnswer: 3*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - v, 49 = 5*d - 4*v + 4. Solve 3 = d*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.056 and -0.03?\nAnswer: 0.00168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/89 in -2, 4\/21, -280?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 - z**2 - 3*z**2)*(z + 0*z - 2*z) + z**3 - z**3 + 6*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:10 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 62*r + 2289. What is u(-37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222132 (base 4) to base 14.\nAnswer: dc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177555 and 35055?\nAnswer: 21839265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**2 - 17*i**2 + 14*i**2 + 25*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25645 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 13*k. Let w(s) = -2*s**2 - 12*s - 1. Let y be 19\/(-3) - 3\/(-9). Let l(x) = y*w(x) - 5*j(x). What are the prime factors of l(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125348895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42928944 by 6.\nAnswer: -7154824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1074394 is divided by 544.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/(-4) - (2 - 2). Let m = v - -11. Let s(z) = 5*z + 2. Is 10 a factor of s(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 3, 9 in ascending order.\nAnswer: -15, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-22)*395\/1580?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 50 - 48 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 12:26 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -90*g**3 - 2 + 89*g**3 - 4*g**2 + 1. Determine s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -532625141\/432010 - -6\/216005. Let m = n + 1231. Let d = 1882 + -9381\/5. Calculate the common denominator of m and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-29))\/a*a)\/a**19)**(-9\/5) assuming a is positive.\nAnswer: a**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/3 - 20*y**3 + 132*y**2 + 1040*y\/3 = 0. What is y?\nAnswer: -2, 0, 10, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9 = -2*p, -245*p - 10 = -240*p + 4*k. Which is the closest to 4? (a) p (b) -2\/27 (c) -2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 2*v**2 + v + 4. Let l be w(-2). Let b = -6 - l. Let c be 8\/20 + b\/5. Solve 5*z = -0*z - 4*g - 33, 0 = z - c*g + 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/((-12)\/(-144)). Let v(f) = 3 + 0 - k - f. Let u be v(-19). What is the highest common factor of u and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 9*g**2 - 10*g + 9. Does 37 divide x(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddnnnnnnddnnnnnnnnnn. What is prob of sequence ddd?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/((sqrt(77)*2)\/sqrt(7)) + (sqrt(95) + sqrt(95)*-1)\/sqrt(5) + -6*(sqrt(19) - 2*sqrt(19))**2)*-6.\nAnswer: -3*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(4 + sqrt(1539) + (sqrt(1539) + 0 + sqrt(1539))*-1) + 1 + 4)**2.\nAnswer: -918*sqrt(19) + 14140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 + -83. Suppose -5*g + 767 = -t*p - 194, 3*p = 6. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/25*(-20)\/8. Suppose 3*k + 5 = l*q - 4, 0 = -4*k - 3*q + 5. Which is the nearest to k? (a) -5 (b) 1\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 23*z - 3148. Give i(151).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/3 and -91\/3660.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/44)\/f*f**12)**(-3\/10) assuming f is positive.\nAnswer: f**(-291\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1653 + -1566. Calculate the remainder when s is divided by 69.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -63. Solve n*v = l + 11, 7*l + 4*v - 4 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1886, 1887, 1888?\nAnswer: 1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483968155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*((-12)\/(-2))\/(-1). Let s be 4*(-4 + n\/(-4)). Solve 3*p = 3*g, 0*g + s*g + 6 = 4*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/1737 and -50\/151?\nAnswer: 262287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 - -124. Let g be 2 + 3 - (1 - -1). Let h(y) = -2*y**2 + 5 + y**2 + g*y + 0*y**2 - 2. Calculate h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3332640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08338 equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -132, -256, -376, -492, -604, -712, -816?\n\"Answer: 2*c**2 - 130*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13298 - 13291 - 25*w + 25*w - 31*w**2.\nAnswer: -31*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8*f + 5 = 0. Let y(o) = o**2 + 2 + 1 - o - 2. Let d(z) = 5*z**2 - 6*z + 6. Determine f*d(m) - 6*y(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987968803?\nAnswer: 1453, 679951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 2*p - 27 + 7 + 99*p**2)*(p**3 - 4*p**3 + 5*p**3).\nAnswer: 198*p**5 - 4*p**4 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*d**2 + 270*d**2 - 383*d**2 - 727*d**2 - 41.\nAnswer: -1082*d**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*f - 4*f + 16, 5*w = -3*f + 26. Let d be 8\/(-10)*55\/22. Put d, 2, w in ascending order.\nAnswer: d, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6316 - 0.2132. What is g rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*m - 16598 = 0, -62*d + 63*d + 4*m = 5506. Calculate the greatest common factor of 36 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250131 is divided by 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 825841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-12))\/((-1)\/2). Let z = -1 + 2. Let f = 0 + -5. Sort z, f, n in decreasing order.\nAnswer: z, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*m = -6 + 3, -3*r = 5*m + 3. Let u be (-77)\/91 - (r - 0). Let s be (15 - 13)*10\/(-4). Which is the nearest to 2\/9? (a) -0.2 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-27))\/(2\/3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251153 + -110769. Let j = 47816 + t. Round j to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*c**2*x + 4*c*x + 6*c + 1 wrt c?\nAnswer: 224*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101110110010 - -11?\nAnswer: -110101110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288078043?\nAnswer: 11, 173, 151381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -27, -46, -67, -90?\n\"Answer: -v**2 - 14*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = 2*r + 4, -3 = -3*r. Suppose 1700000 = p + i*d, -2*d = -3*p - 4*d + 5100000. What is p rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 2*w**2 - 2*w + 1. Let u be k(2). Let z(c) = -2*c**3 - 4*c**2 + c. Let m be z(u). Suppose -h + m = 4. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + s = -15, 2*s = 3*l - 0*l - 40. Suppose -3*w - 2 = m, 0*w - 4 = -2*m - 2*w. Solve 0 = -m*u + 2*y - 0 - l, u = -y - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**6 + 378*d**4 + 124786*d**2?\nAnswer: -360*d**3 + 9072*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112249497 to the nearest integer?\nAnswer: 10595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + l)*(-1299 + 1373 + 7004 + 6336 + 58) + 5*l + 0*l - l.\nAnswer: -26940*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*z + 118*z + 3 - 3 to m + l*z and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 118.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*p = -58, -2*i - 3*p - 9 - 46 = 0. Let v be ((-2)\/3)\/(i\/12). Which is the closest to 0? (a) v (b) 6\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907031527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/21, -3\/8, -0.06, 13, 292, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29694168\/47 <= 631790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 3:06 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14896087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 478\/5. Which is the nearest to i? (a) -11 (b) 0.4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -512200a + 6?\nAnswer: -5122004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v + 6. Suppose -v*l = l. Solve -o + 5*o = l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q + 12. Let y(g) = g - 3. Calculate -6*f(t) - 26*y(t).\nAnswer: 4*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 38. What is the closest to 0.3 in -0.2, 4, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**4 - y**4 + 32*y**3 - 8 + 9700869*y - 9700865*y in the form i*y + v*y**3 + z + d*y**2 + a*y**4 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2011 - 2585.8. Let m = q + 575.10006. Let z = 0.3 - m. Round z to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 3. Let o(h) = -9*h - 7. Let b(r) = 14*k(r) - 6*o(r). Let s(g) = -10*g. Give s(b(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 11*q**2 - q + 15. Let i = 1279 + -1268. Calculate b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 3287.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**3\/3 + 5*k**2\/2 - 5*k + 2. Let b(v) be the first derivative of w(v). Find the first derivative of b(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 694 and -11601 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*l - 2*l - 4*l)*(-1 + 0 - 1) + l - 2*l + 0*l - l + l - 2*l - l + 2*l - 2*l + 4*l - 2*l - 4*l + 0*l - 4*l + 0*l)*(4*l + l - 7*l).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/24)\/((-2)\/(-3)))\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11887 is divided by 981?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i + 0 + 1 - 8*i)*(2 - 5 + 1)*(-6 - 3 - 5)*(-10*i - 4*i - 8*i).\nAnswer: -616*i**2 - 616*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1730379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-3 + 4 + 0). Suppose x = 10*s - 5*s - 495. Let u = 11 + -2. Calculate the highest common factor of s and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.337267384 to three decimal places.\nAnswer: 0.337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.126689 and -64.\nAnswer: -8.108096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/150 and -187\/450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4014\/11 - -252739\/693. Calculate the common denominator of -3 + 7 - 155\/14 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/1100*(-8)\/(-6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 96*c - 1152.\nAnswer: -2*(c - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.34.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2860\/(-6825) + 2\/15. Which is the nearest to 2\/3? (a) 0.4 (b) j (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/5)*i)\/(i*i**3*i)*i*i**(-2)*i\/i**(-3\/7)*i)**6 assuming i is positive.\nAnswer: i**(-666\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/6 and -11\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -48. Suppose f = -4*h - 2*x, h - 2*x = -3*x - 12. Is h at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -852, 3\/4, -10, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(900\/5))\/((78\/(-12))\/(-13))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.4, 6, -1\/17, 1?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8797235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -w - w - 5*g, 170 = -3*w - g. Let o = -1195 + 1136. Which is greater: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/5*(4 - -51). Suppose -m = -5*g + 56. What is the remainder when 39 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1152 and 3792.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to 3201.21328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2174 + -342.510949\nAnswer: 1831.489051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/23, 3, 2\/125, -35, 0.3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1699944 - 0.17. What is z rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**6*i)\/i**8)\/((i\/(i\/i**0))\/(i**1\/i)))**(2\/3) assuming i is positive.\nAnswer: i**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 3*z + 25*u + 31*u, 1664*z + 1 = 1667*z - 4*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 412986 and 357.\nAnswer: 7020762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*l + 5*l - 222, 0 = -2*l - 6. Let c = -119 + k. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(405)*-2 + sqrt(405) + -1)**2 - ((1*sqrt(45) - sqrt(45))**2 - -6*(4 + sqrt(5))).\nAnswer: 66*sqrt(5) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15231275 is divided by 553?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 18. Suppose 67 = r*i - 241. What is the greatest common factor of i and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2 + 13*v + 3. Suppose 2*n + 2*u - 2 = 4*u, -5*u = 0. Let j(t) = -7*t - 1 - 6*t**2 + 2*t**2 - n. Let y(k) = 5*j(k) + 3*s(k). Calculate y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*k**6 - 310*k + 309*k - 15*k**5 + 200*k**2 + 14*k**5 wrt k.\nAnswer: -840*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.72 and -5600885.\nAnswer: -5600894.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53908 or -53914?\nAnswer: -53914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 2. Suppose -48*q - 23 = -3*d - 43*q, -q - 1 = 3*d. Let j(y) = y**3 - 1. Give d*z(b) - 4*j(b).\nAnswer: -6*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -3\/8 (c) 164 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37804493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 49.4398 millimeters?\nAnswer: 4.94398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009586 rounded to seven decimal places?\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/39 + (2280\/390 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10166 (base 8) to base 3\nAnswer: -12210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30300 = -t - 5*t. What is t rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7527.498 months in decades?\nAnswer: 62.72915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -be - 4?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24228.3 + 24228.10600272. Let r = n - -0.194. What is r rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 37*z**3 + 5*z**2 + 13*z - 94. Suppose 5*y - 3*y + 12 = 0. Is a(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1164 - 2939 - 3332 + 2*w in the form c*w + h and give h.\nAnswer: -7435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 - 104. Suppose -123 = s*p - 27*p. What is the remainder when p is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/14 + 9\/21. Suppose z*n = 6*n + 16. What is the tens digit of (-1)\/(-4) - 131\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -15. Find the common denominator of -1 + 68\/(-10) + w\/(-1) and -57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5615303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/3)*a*a*a\/a**(-1)*a*a**(-1\/5)\/a*a**(-1\/6))**33)**(-22) assuming a is positive.\nAnswer: a**(-18029\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 110. Calculate the remainder when 209 is divided by g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 186?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.2232084 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -150*s**4 - 480 wrt s?\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -4*k - l, l = -0*l - 3. Suppose 104 = 5*i + o - k, 75 = 3*i - 5*o. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1 + (0 - 0)). Let b(c) = -8*c - 11. Let z(i) = 7*i + 3*i + i - 1 - 5*i - 5*i. Let h(n) = w*b(n) + z(n). Differentiate h(x) with respect to x.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*2*(-1)\/24*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 9748.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + 110101011111011010000110?\nAnswer: 110101011111011010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.4, 59, -1\/2 in ascending order.\nAnswer: -1\/2, -0.4, 9, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1552 - 0.15533503. Round k to six decimal places.\nAnswer: -0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.084 - 0.016. Let n = m + 1.1. Which is the third biggest value? (a) n (b) 0.05 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 138 - 347 = -5*h, 4*g + h - 4*h = -215 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*m - 6 = -0*m, -3*h = 3*m - 18. Let y be 0*(-3)\/(h - 10). Solve y*c = c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2924 = 9*s - 4861. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 2)*(10*p - 344 + 344)*(2*p - p + p).\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1030322 (base 4) to base 7\nAnswer: 20231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 16*r - 68 = 0. Let j(g) = 40*g - 36*g - r*g. Let u(d) be the third derivative of d**5\/30 - 3*d**2. What is u(j(w))?\nAnswer: 338*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, h: 6, t: 6}. What is prob of sequence tti?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 + 2*v + 2. Let u(s) = 189*s**2 - 77*s - 77. Let h(x) = -77*b(x) - 2*u(x). Let j(a) = 417*a**2 - 206*a**2 - 210*a**2. What is h(j(m))?\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.423196 kilometers in millimeters?\nAnswer: 5423196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - z**3 - 2*z**3 + 2*z + 0*z**3 + z**3 as h + i*z**3 + o*z**2 + f*z and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 12\/815, 0.15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 123*i**3 + 3*i**2 - 6*i + 7. Let m(a) = 247*a**3 + 5*a**2 - 10*a + 12. Calculate -3*m(h) + 5*q(h).\nAnswer: -126*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26908 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = -2*v, -4*v - 2*m + m - 4 = 0. Suppose -2*d - 2 = -v*d. Which is greater: 2\/9 or d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 19*q**2 - 38*q + 68. Calculate f(23).\nAnswer: 1310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4369*q - 471. What are the prime factors of k(2)?\nAnswer: 7, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232088353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllc when four letters picked without replacement from lcllllll?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 425 = -5*l, 5*l - 3*m = 617 - 157. Suppose l + 1 = 5*i. Suppose 7*d = 342 + 281. Calculate the remainder when d is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/13 (b) -6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111100 (base 2) to base 3.\nAnswer: 11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1591\/15290 + -98\/139. Calculate the common denominator of 25\/1804 and p.\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 28754997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 j when three letters picked without replacement from esjejesjesesjsese.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 4*h**2 + 14*h - 10. Let k be r(6). Let w(x) be the first derivative of 3 + 1\/4*x**4 + 1\/2*x**2 - 1\/3*x**3 - k*x. What is w(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2607*o - 2317*o + 7250 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/3299045 and -73\/1319618?\nAnswer: 6598090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1116 + 2709. Calculate the remainder when i is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3386 + -1460. Let i be (-2)\/8 + q\/24. Suppose -3*w - 4*u - 13 = -i, -3*w + 62 = -u. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99)*1 + sqrt(99))\/(sqrt(144)\/sqrt(4)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3 + 42766*h**2 + 457318209*h + 1828588644 = 0 for h.\nAnswer: -21381, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144729*-167.\nAnswer: 24169743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 - 147.64. Put p, -3, 1\/3 in decreasing order.\nAnswer: 1\/3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/55 and (-5 - 66\/(-12))\/(220\/(-188)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82.9 smaller than 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 49435.\nAnswer: 4\/49435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6461*m - 1312*m = 1420918 - 542569 for m.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(11\/2)*r*r**(8\/9))**(12\/13) assuming r is positive.\nAnswer: r**(266\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - -12120?\nAnswer: 12023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 2*g**2 - 5*g + 4. Let q be v(3). Let o = -790 - -770. Is o at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -64*z + 93*z - 35 - 62*z. Is i(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 25, -2880, 1\/10, -0.3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 3\/8, 5, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17527 is divided by 161.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 + 78*g**2 + 54*g - 455. Let r be u(26). Sort r, -2, 6 in increasing order.\nAnswer: -2, 6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 0.85?\nAnswer: -0.0595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -d - 5*h - 7, 0 = 5*d + 5*h + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**2*t**3 + 7335*o**2 - 17*o*t**2 - 77735*t**3 wrt t.\nAnswer: 6*o**2 - 466410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 27, -2\/9, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175451 + 141473?\nAnswer: 2316924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 7*b + 6. Let i be n(6). Suppose i = 4*s + 7 - 31. Suppose r - 1 - 1 = 0. What is the least common multiple of s and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/6*((-53)\/(-5) - -5).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.21901 decades to years.\nAnswer: 492.1901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 44*x + 23. Let q(g) be the first derivative of -g**2\/2 + g - 16. Let v(c) = 6*q(c) - y(c). Is v(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -11\/4, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 + 233\/2. What is the common denominator of v and 101\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/10 (b) -0.03 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 20.7. Which is the smallest value? (a) -4 (b) 2 (c) w (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105490 and 1298495?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-1 - -3) + 25. Suppose -2*a = -a - r. Suppose -5*j + 7*k = 2*k - a, 0 = 5*j - 2*k - 37. What is the remainder when 25 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/62295281 and 13\/6557398?\nAnswer: 124590562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p. Let q(r) = 15*r + 30*r + 20*r + 6*r - 116*r. Calculate q(m(d)).\nAnswer: 90*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sovqseqocoqsses. What is prob of sequence vso?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458*s**3 + 889*s**2 - 2693*s**2 + 889*s**2 + 915*s**2.\nAnswer: -458*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 117\/(-7) - 4\/14. Let c = -27 - -52. Let s = p + c. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12017663767 - -5.\nAnswer: 12017663772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215 and 156692?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -413585.56 rounded to the nearest 100?\nAnswer: -413600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9014, 18026, 27034, 36038?\n\"Answer: -2*d**2 + 9018*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(-1212*z**3 + 1385*z**3 - 1154*z**3 + 2*z).\nAnswer: 2943*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 12:34 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 27\/6 - ((-1542)\/4 - 0). What is the greatest common divisor of y and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6222 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3 = 3*c. Suppose -3 = -d - c. Solve 2*q - 15 = 4*q - 5*l, -d*l = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1312971*0.003.\nAnswer: -3938.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/((-1)\/2 - -1). Let a = -22 + y. Solve -a = -z - z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-108)\/16)\/((-6)\/16). Let n be (-6)\/27 - (-130)\/d. What is the units digit of (-1 + 0)*n*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 20 = -z. Suppose 0 = -z*v - 52 + 167. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89506 is divided by 2419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7369?\nAnswer: 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15557, -61504, -137859, -244622, -381793, -549372, -747359?\nAnswer: -975754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4153480 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242115391.\nAnswer: 7, 3307, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6929186 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -90, -19, 52, 123?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2712*k**4 + 2774*k**4 + 17 + (3*k**3 - k**3 + 0*k**3)*(0*k + 5*k - 4*k).\nAnswer: 64*k**4 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 111 = 2*o + 6*j, -78 = -o + 5*j. Let q = o - 438\/7. Let q*i + 2\/7 + 1\/7*i**2 = 0. What is i?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 21867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4502 + 4527. Solve 7*w + j*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(((c\/c**0)\/c)\/c)*c))**(-16)\/((c\/(c**(-2\/33)\/c))\/c**(1\/7)))**(20\/13) assuming c is positive.\nAnswer: c**(138980\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from ccrmrrrmcirrrcrr.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3747*y + 895 = 3568*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uviv when four letters picked without replacement from viiiviiuvvvvvvvvv?\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 10*t + 13. Let v be c(-9). Suppose 2*x - 1770 = -v*s, x + s - 884 = -2*s. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 + 74 - 4*c**2 + 2*c**2 + 3*c**2 - 2*c**4 - 2*c**3 - 145 + 2*c to the form o*c + q*c**2 + x + s*c**3 + d*c**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 227397 divided by -3\nAnswer: -75799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20608 by -34.\nAnswer: -10304\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(2\/(-84)). Let y = 184 + k. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -236, -555, -1010, -1607, -2352, -3251?\nAnswer: -4310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c*c\/c**(-31))*c*c*c**(-2\/3) assuming c is positive.\nAnswer: c**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40\/21, 0.3, 3, 3\/4, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9082.99 + -8873. Let g = u - 210. Let w = -1.7 - -2. Which is the nearest to g? (a) 1\/2 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/152851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 7*s = -30*s - 35028. Put s, 1, 2 in descending order.\nAnswer: 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 29 - 28 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-84)\/(-15))\/(4\/20). Let w = u + -23. Solve w*x + 3*g + 24 = -0*g, 5*g = -15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*c - 5*c. Suppose -u + 14 = -3*r - c, 5*r + 57 = 3*u. Calculate the greatest common factor of 126 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/88 - 9\/(-33)*19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 - 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 60*v + 3. Let t be w(-5). Let n = -547 - t. Round n to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 141 = 3*p - 4*a, -94 = -2*p - 2*a. Suppose 84 = -41*o + p*o. What is the least common multiple of o and 46?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, 0.07, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -313, -314, -315?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -36*h - 3. Let v(r) = -r**2. Let m(l) = -4*l**2. Let p(o) = 2*m(o) - 9*v(o). Determine p(y(z)).\nAnswer: 1296*z**2 + 216*z + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -15. Solve 0 + 6\/7*j**3 - 4\/7*j**2 - 2\/7*j**4 + d*j = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/6 (b) 1\/9 (c) 2 (d) 1489\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 2:39 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.34723cm to meters.\nAnswer: 0.0634723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m - 2. What is the tens digit of n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 8*m + 12*m**3 - 5*m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98535 and 3645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**2 - 307*i + 43. Let h be f(-28). Let l = 39 - 24. What is the highest common divisor of h and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15400.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 1. Let c be r(4). Suppose -4*g + 6*g = 2. Suppose x - 2*f = 7, x = -x - f - g. What is the highest common divisor of x and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 + 18*g**3 + 2 + 27*g**3 + 6*g**2 - 47*g**3 in the form a*g + n*g**4 + p*g**3 + f*g**2 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -19 (b) 3\/10 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - sqrt(76)\/(sqrt(4) + sqrt(28)\/sqrt(7)) - sqrt(1900)*2).\nAnswer: -39*sqrt(19)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -19*y**2\/2 + 910*y - 94. What are the prime factors of u(0)?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25794689.\nAnswer: 25794689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 32*x**2 + 2*x + 7*x**2 - 2*x + 22*x**2. Let t(u) = -u. Give t(l(b)).\nAnswer: -61*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-69))\/((-66)\/(-9)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7296249767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106626087.\nAnswer: 3, 11847343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.626 and -45155.9.\nAnswer: -45157.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -51. Solve t*x - 3 - 7 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23828\/(-7659))\/(-2*2).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 1518, -0.4, 2, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(80)\/(sqrt(32)\/(sqrt(8) - 2*sqrt(8))))**2*4.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 + 9 + 29 - (-10 + -17).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 3*u + 33, -1696934*f + 1696945*f + 2*u - 7 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*w - 276243 + 52172 - 261925. Calculate the greatest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3909887 divided by 3909887.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225\/266 or 2?\nAnswer: 225\/266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 24 = 2*i - 12, i + 18 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2999400 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199427 - 199422 - 99*u**3 - 199427 + 598276.\nAnswer: -99*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + p + 7 - 45, -4*n = 2*p + 44. Let a = -7 - n. Solve 4*c - 25 = -a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182 - 95. Suppose -4*x - 5*q + 27 - o = 0, -x = 4*q + 4. List the prime factors of 2\/(-1) - (x + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 584*j - 636*j - 809*j to the form v + g*j and give g.\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2098 = -c - 7575. What is c rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1512 + 2?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 20, 29, 38?\n\"Answer: 9*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 1 = y, 4*y + 2*n - 18 = 6*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.032 - -2.968. Let t = h + -3.022. Let s = t - -0.021929. What is s rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r**2*v**2 + 392187*r**2 - 41547921*r*v**2 wrt r.\nAnswer: 8*v**2 + 784374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 3*j**2 - 10*j + 3. Let v be n(-5). Let c be -62*1*v\/(-6). Solve 5*l = -4*p + c, -3 = 5*l - 2*p - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 37*v**3\/3 + 16*v**2 - 16. Find the second derivative of c(j) wrt j.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412 - 2144 = -284*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 3*z. Let k be f(2). Solve 0 = -3*a - 4 - k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 24 = 4*s, -5*a + 2154*s = 2170*s - 92 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 - 2756*t\/3 - 8266\/9.\nAnswer: -2*(t + 1)*(t + 4133)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 108*r - 892. Let f be i(8). Let b = 21 - 52. Let c = f - b. Solve 2*k = -5*g + 22, -c*g + 1 = -4*k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -7\/2*j**4 + 7\/5*j**5 - 9*j - 128 + 2\/3*j**3 - 1\/6*j**6 + 15\/2*j**2. Factor f(l).\nAnswer: -(l - 3)**2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -415 + 2053. What are the prime factors of x?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8f (base 16) to base 9.\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*l + 105*l - 40 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 24. Let b = 10264\/35 - 3068\/35. Let l = b - 205. What is the nearest to l in -0.1, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72219*p + 72100*p - 2089 + 30 = 83 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y + 333 = -y + 1053 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 8*q + 27. Let s(z) = 3*z**2 + 25*z + 81. Let x(m) = -2*s(m) + 7*v(m). Does 13 divide x(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-51)*(-4002 + 3972) + (-38)\/(-34) + -1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1917125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -7. Let w(u) = u**3 - 6*u**2 - 11*u + 6. Let s be w(i). Is -1*s\/2*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1650 = -4*q, 5*q - 2083 = 2*g + 2*g. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -26385.\nAnswer: -7\/26385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1 - 3*i - 3*i - 4*i + 2*i. Let b be y(2). List the prime factors of (b\/9)\/(2\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*((-1 + sqrt(1216))**2 + sqrt(1216) + sqrt(1216)) + (3*sqrt(2736)*1)**2).\nAnswer: 117968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 5, 0, -2, 4 in increasing order.\nAnswer: -32, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221600.\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, b: 6, g: 2}. What is prob of sequence bbwg?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.75858 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -26695?\nAnswer: -3\/26695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -18. Let r(g) = 169*g**2 - 8452*g + 101. Let f be r(50). Put f, 6, m in descending order.\nAnswer: 6, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -1\/10, 0.9, 1\/2 in descending order.\nAnswer: 0.9, 1\/2, -0.04, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 2878?\nAnswer: 5\/1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 - 16*v + 5. Let w(t) = -11*t**2 - 24*t + 7. Let l(h) = 8*c(h) - 5*w(h). Let s be l(-9). Which is smaller: s or -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2)*6\/(-4). Let k(o) = o**3 - 22*o**2 + 94*o - 1076. Let h be k(20). Solve -h*m + 1 = -t*v, 0 = 2*v - 5*m + 1 + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 10*w - 9. Let o be b(11). Solve -d - o*t + 5 = 0, -3*d + 2*t + 3*t = 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3477910 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/12*-14 + (2 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*m - 1149 - 1664 + 2813.\nAnswer: 99*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = i - 7 + 1, -5*l + 4 = 3*i. Suppose l*s - 14 = 2*t, 4*t + t = -3*s + 13. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/41, -3, 33752?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.707148 litres?\nAnswer: 2707.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26848.8 + 26849. Which is the nearest to 0.1? (a) -5\/14 (b) n (c) 4 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9) - (-341)\/3. Suppose 3*u + k = -0*d + 4*d, -4*d - 5*u = -89. Suppose -r - p = -0*p - d, -4*p = -8. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*p - 42*p - 8*p - 10*p - 17*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 647293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -361?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**4 + 3396*j**3 - 10227*j**2 - 13584*j + 40860 = 0.\nAnswer: -1135, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48, -212, -496, -906, -1448, -2128, -2952?\n\"Answer: -l**3 - 54*l**2 + 5*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132403 (base 6) in base 11?\nAnswer: 9220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169819, 169822, 169823, 169822, 169819, 169814, 169807?\nAnswer: 169798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 235882 or 235886?\nAnswer: 235886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 1\/7 (c) -1\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 4.8. Let b = -0.5 - -1.3. What is the third smallest value in b, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6*(-27)\/18. Which is the closest to x? (a) -1\/4 (b) -1\/6 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -2*t - 119, q + 4*t - 32589 = -32620 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*f + 48, 401*f - 402*f = 5*x + 3. Solve 4*o - 3*o - p + 3 = 0, -f = 4*o + 2*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2020*m - 3121*m - 882*m + 499*m to x + n*m and give n.\nAnswer: -5524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36.38 - 34.229. Let c = m - 0.151. What is the smallest value in c, 39, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -194 + 976\/5. Let v be 1\/(39\/33 + -1). Let z = v + -5. Which is the biggest value? (a) q (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**0)\/h)\/(h*h**4*h))\/(h**(-5\/3)*h*h\/h**4)*(h**(2\/7)\/h**(3\/5))**(8\/9) assuming h is positive.\nAnswer: h**(-508\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/16593507 and -67\/758079?\nAnswer: 149341563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 82.64505 millennia?\nAnswer: 82645.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q = -9. Suppose -q*f = -10*f + 14. Solve -f*k - 5 = 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 79279. Let g(r) = -r. Calculate g(a(x)).\nAnswer: -2*x + 79279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10449441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4143 + -3850. Calculate the remainder when o is divided by 75.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11214 + 3?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14797\/9 - -1646. Find the common denominator of -35\/8 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -176 + -70?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 3, y: 11, b: 5}. Give prob of picking 3 y and 1 h.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3746178, -7492358, -11238538, -14984718?\nAnswer: -18730898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = a + 3 - 11, -4*a + 4 = x. Let l = a + 1. Let w(n) = -n**3 - 12*n**2 + 15*n + 25. Let y be w(-13). Do l and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345 + -133. Suppose 0 = 2*r - 4 - 4. Suppose -r*t = -v - 8. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.13043464 to 1 decimal place.\nAnswer: 19.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**2*m*x**2 - 127*k**2*m*x - 40*k*x**2 - m*x wrt k?\nAnswer: -6*m*x**2 - 254*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from blybwxbxsbwy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 0*o - 2 = -5*d, -4*d - d = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18 + -7)\/((-2)\/10). Let c be (-265)\/z + 6\/33. Suppose c = -4*p + 13. Solve -5*n - 20 = -5*w, 5*n + p*w + 10 = -3*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = 0, -4*o - o + 5*a = -95. Let d = -5 + o. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*x + 8*x - 6*x)*(-2 + 2 - 1)*(-3 + 8 + 2)*(-2 + x + 2).\nAnswer: -126*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 59*a - 2 - 2 + 1 - 58*a. Calculate h(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246 - 442*d + 246)*(-1 - 4 + 2*d + 3).\nAnswer: -884*d**2 + 884*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s**2 + 462*s + 272. Give n(-34).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63629\/2286 - -1\/1143. Suppose 59 = 3*f - 5*p, 2*f - 5*p - 36 = -p. Let i = d + f. Which is the third biggest value? (a) -1 (b) 1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a3d (base 16) to base 2.\nAnswer: -1000101000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 + 4*n**2 + 8*n. Let m be s(-3). What is the highest common factor of 80 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 1842036?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4666743*a**4 - 438*a + 5605 wrt a?\nAnswer: -56000916*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(544)*2 + (2*(sqrt(544)*2 + sqrt(544) - sqrt(544)) - sqrt(544)))\/(sqrt(16)\/sqrt(72) - sqrt(22)\/sqrt(891)))**2.\nAnswer: 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + (-66721)\/17290 + 70\/(-455) and -37\/1330.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**2*p**3 + i**2*p - 8*i**2 + 14*i*p**3 + 9*i*p**2 wrt p.\nAnswer: 36*i**2 + 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*r + 15 - 11, 0 = 5*x - 3*r + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*n - 4. Calculate the common denominator of n + -5 - 78\/(-20) and ((-6)\/(-4))\/(14\/(-12)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**3 + 1235800*q**2\/3 + 2883476*q\/3 + 274616 = 0. Calculate q.\nAnswer: -102981, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0. What is the closest to 2 in m, 0.5, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, t: 2, f: 3, g: 1}. What is prob of sequence tyg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1282*u - 13 = 1286*u + c, -2*c - 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 54. Calculate the greatest common factor of s and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3563 (base 11) in base 3?\nAnswer: 20101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 567*y**3 + 8 - 3439*y**3.\nAnswer: -4006*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-25)*v))\/((v\/((v*v\/(v\/(v*v**(-14)*v*v)))\/v)*v)\/v*v) assuming v is positive.\nAnswer: v**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {g: 14, b: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 915 = -5*g - 3210. What is the greatest common divisor of 605 and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*n**6 + 2*n**5 - 205*n**2 wrt n?\nAnswer: -2160*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 7, w: 5, m: 3}. What is prob of sequence wm?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14167, 28366, 42611, 56926, 71335, 85862, 100531?\nAnswer: 115366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -145\/167 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 6. What is the remainder when q(0) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 36*z - 3*c + 12 = 0, z = -5*c - 24. Solve 11*y = z*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521043974 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -347*a**2. Let d(o) = 7*o**2. Let u(j) = -36*j**2. Let g(x) = 21*d(x) + 4*u(x). Give m(g(t)).\nAnswer: -3123*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -5345.\nAnswer: 1\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1134652 (base 7) to base 4\nAnswer: -203000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(891)*-2 - sqrt(891)) + 4)**2.\nAnswer: -432*sqrt(11) + 16070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 376841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*(-5)\/20*-2*3*16\/16.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + 12 - (3 - 11)) + 14 + -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4dd - -3397?\nAnswer: 3896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-101)\/606.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 66063067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/6)\/(24\/36). Let d = q - -6. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9496 - 407*s - 9496 in the form z + v*s and give v.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 681458.8 and -0.25339053?\nAnswer: 681459.05339053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -437977.9\nAnswer: 437976.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107*d**3*z**4 - 141*d**3*z**2 - 3*d**3 + 74*d*z**4 - 9*z**2 wrt z?\nAnswer: -2568*d**3*z + 1776*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1086136106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9559*j**3 + 2*j**2 - 10*j + 14. Let t(x) = -19117*x**3 - 5*x**2 + 19*x - 26. Let u(n) = -6*t(n) - 11*w(n). Find the third derivative of u(b) wrt b.\nAnswer: 57318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2331 + 3471. Is 95 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a. Let o(n) = 19*n**3 - 2*n - 14. Let t(j) = -o(j) + 2*v(j). What is the derivative of t(g) wrt g?\nAnswer: -51*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -42*y + 1218. Calculate c(37).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0431 - -143.8431. Let j = 144 - g. Which is the closest to j? (a) 5 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 19\/2 (b) -46 (c) 0.5 (d) -3 (e) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3732 divided by -933?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*p**2 - 322*p**2 + 958*p**2 - 331*p**2.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 86. Suppose 4*z = 6 + j. What is the units digit of -4*z\/4 + 81 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23134638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2. Let y(h) be the third derivative of h**4\/8 - h**3\/3 + 5*h**2 + 5. Calculate v(y(x)).\nAnswer: 9*x**2 - 12*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-143)\/(-3003))\/((-5)\/(-15))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7686 > -7685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 + 195 = -19*z. Solve 13*h = 22*h - z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q**4\/3 - 65*q**3\/6 + 25*q**2\/2 - 35*q\/6 + 5\/6.\nAnswer: 5*(q - 1)**3*(4*q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-174)\/(-42) - (12\/(-14) - -1). Let w(c) = c**3 - 4*c**2 + 2*c + 2. Let z be w(s). Calculate the highest common factor of z and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -49. Let c = s - -64. Let y = c + -49. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one halves of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - j - 18 = 0, -475*j = 5*b - 476*j - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = -12*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 = 30. Let t = -37 + a. What is the units digit of (27\/15)\/((-9)\/t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/13)\/((-110)\/(-24)*243\/(-405))\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.19 - -46. Let x = o + -0.01. Sort 5, 3, x in decreasing order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 53 = -331. Suppose 66*k = 62*k + s. Calculate the remainder when 119 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5e9426 (base 15) to base 16\nAnswer: 453a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g. Suppose 3*m - 3*y - 2*y = 2446, -y + 4 = 0. Suppose -150 = -m*s + 816*s. What is the remainder when o(-7) is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 9:57 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1393 and 0.1.\nAnswer: -1392.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 4, 2, -3 in decreasing order.\nAnswer: 40, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422953205.\nAnswer: 5, 19, 4452139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 4 - 22\/(-2). Let q be m\/1*1\/4. Let b(k) = k**q - 1 - k - k - 2. Determine b(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-12)*13\/(546\/24).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34 - 68 + 4)*(3*y + y - 2*y)*(-1 - 1 + 3) in the form l + h*y and give h.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6930655141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 1 - 5. Let n(m) be the first derivative of -2*m**2 - 5*m - 83049. What is n(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48223869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63487 is divided by 572?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5 + 3)\/(-2))\/(2\/1074). Suppose -3*p + z = -96. What are the prime factors of p?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211 (base 3) in base 10?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4, 0 = -9*c + 10*c + 3*q - 963. List the prime factors of c.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/180)\/((-1*1)\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -n + 6. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.26293km in centimeters?\nAnswer: 5326293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 12:17 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186965 is divided by 286?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -99 - (-20 - -8 - (2 - (0 + 0)))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2 - 2)*(3*i + 0 - 3 - 6*i).\nAnswer: 3*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-5 + -9 + 27 - (-2 + 10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 15*v**2 + 18*v + 20. Let h be j(-16). Let w be h + 0\/(-3) + 1 + 3. Put w, 4, 0 in descending order.\nAnswer: 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 8323579.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2. Let a(m) = -15*m**2. Let i(w) = 7*w**2. Let j(t) = t**3 + 8*t**2 - 9*t - 4. Let o be j(-9). Let l(p) = o*a(p) - 9*i(p). Give l(z(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18229233 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63953*g**3*p*x**3 + g**3*x**3 + g**3*x + 233*g**2*p*x**2 + 56*g**2*x**2 + g*p + 2*g*x**2 + p*x**2 + 2*x**3 wrt g?\nAnswer: -383718*p*x**3 + 6*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3))**(-1\/32) assuming v is positive.\nAnswer: v**(-1\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Suppose -d = 3*f - 9 - y, 2*d - 4*f = -26. Is (-97)\/(d + 20\/7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 69\/2 of a day?\nAnswer: 828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Suppose -2*f - v - 4 = 0, 4*f + p*v + 6 = -0*f. Let y = -3 - -2. Which is the closest to y? (a) 0 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*h + 108*h = 165*h + 1386 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78180 + -137180. What is t rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3600))\/(sqrt(180) - sqrt(180)*2 - sqrt(5) - sqrt(5)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 21. Let h(r) be the second derivative of r**5\/15 + 87*r**2\/2 + 3*r. Let q(p) be the first derivative of h(p). What is q(m(f))?\nAnswer: 16*f**4 - 336*f**2 + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -52*m + 153. What is the tens digit of s(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -20*c + 25*c + 28, -c - 5*u = 16 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*1*(-3)\/((-12)\/4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 317 - 202. Let m = c - 113. Let j(l) = 2*l**2 - 2. Determine j(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 84972 = -7*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 11*r**2 + 8*r + 12. Give c(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 111*k - 1171. Let y be n(11). What is the highest common factor of y and 1225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64.1974596877+33\nAnswer: -31.1974596877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 417.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182151200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/3 + -5 + 1. Suppose -7 - q = -4*u. Solve -2*y = -u - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 3*m**2 + 3. Let w be f(3). Let g(l) = 3*l**3 - 11*l**2 + 9*l - 9. Let d be g(3). Suppose -w*s + 29 + 199 = d. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 301 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnjifqp. What is prob of sequence iqpf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*6\/9*20. What is the greatest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.12 - 0.12. Let f = 3 - 2.8. What is the closest to 1 in r, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -140. Let b = -71 + p. Solve -2\/5*d**5 - 2\/5*d + 4\/5*d**b + 4\/5*d**2 - 2\/5*d**4 - 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -10.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k + 6. Let f(g) = -4*g + 4 - k*g + 0*g. Is f(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87 + h**2 - h**2 + 85 + 21*h**3 to o*h + p*h**3 + l*h**2 + g and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n - 5. Let p = -38 - -44. Let h(b) = 17*b - 20. Calculate p*h(c) - 26*d(c).\nAnswer: -2*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 4 + -2 + 0. Find the third derivative of -h**4 + 2*h**2 - 2*h**2 + 2*h**c wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i = -21574 - 23748. Calculate the remainder when i is divided by 724.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 2 in decreasing order.\nAnswer: 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/sqrt(192))\/sqrt(288).\nAnswer: sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from jjl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -470.4 (b) -5\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175608671 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 111542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1987\/203 - 69\/7. Is g < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 8)\/51 + (-2)\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 556 - 561. Which is the second biggest value? (a) 51 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.295787 months in decades?\nAnswer: 0.210798225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*g - 19, -3 = 3*n - 5*g - 0. Suppose d - 1240 = -n*d. Let t = -171 + d. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1187249 seconds?\nAnswer: 118.7249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754767.\nAnswer: 3, 13, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*z - 23*z + 3*z + 720 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + (20*228 - (-360)\/45).\nAnswer: 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 - 2766*d**3 - 634743*d**2 + 1322244*d + 9604980 = 0 for d.\nAnswer: -462, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 6, -13*k = -5*b - 14*k + 44457. What are the prime factors of b?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -25, -2*z - 5*r + 18 = -r. Let j be -2 + 7 + -1 + 2 + z. Which is the third smallest value? (a) 0.2 (b) j (c) -2\/15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/11)\/(((h**(3\/8)*h)\/h)\/h))**(-3\/32))**(-2\/47))**(1\/14) assuming h is positive.\nAnswer: h**(117\/926464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13897945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 less than -658972?\nAnswer: -659088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(7\/4)*i))**22)**47 assuming i is positive.\nAnswer: i**(-3619\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*b**5 + 303*b**4 - 2*b**3 - 1613*b**2 wrt b?\nAnswer: -3240*b**2 + 7272*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82933033 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9238*g**2 + 9238*g**2 - g**3 + 43*g.\nAnswer: -g**3 + 43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1918, 1905, 1892?\n\"Answer: -13*q + 1931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 0, 54*d - 57*d + 81275 = 4*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/4 and -9\/104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 348802.1 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, 4 in descending order.\nAnswer: 19, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17232947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/336 and (-336)\/144 + (-16526)\/(-1680) - 8?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 23 = 6*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*p = -18, 11*p = -3*k + 15*p - 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 782112470 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 4*v. Let s be x(-4). Suppose -w = -m + 6, 5*m - 2*m - 2*w - 16 = s. Suppose -q = 2*q - m*y - 56, 5*q = -5*y + 35. Solve -2*j + q = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350 - s**2 + 4*s**2 + 319 - 93*s.\nAnswer: 3*s**2 - 93*s - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333332 and 13972?\nAnswer: 2333324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6422 bigger than 6401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*d + 105*d - 108 = 0. Solve 34 + d = -10*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17741 + 17758. Solve 106*o + z = 3*p + 111*o, -3*o = 5*p - 23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 192167059 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/594 and -139\/36.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 2*b**3 - 4*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a**2 - 1243*a + 11810. Give h(103).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 15*w + w - 208 + 250.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 17298*v - 34600.\nAnswer: (v - 2)*(v + 17300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((-1*sqrt(204) + sqrt(204) - sqrt(204)) + sqrt(204))\/sqrt(4))\/((sqrt(147)*-1 - sqrt(147)) + sqrt(147) - sqrt(147)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(((-6)\/(-9) - 6) + (-12)\/(-2)). Solve s*j + 21 = -a, 0 = 4*a - 3*j + 13 - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1)*(-1 - -833656). Let o be y\/(-7758)*3\/165. Let n = 1\/1293 + o. Calculate the common denominator of n and 21\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*m - 2*k**2*t*u - 2*k**2*t - 206*k**2*u - k*t + 14*k*u + 6*m - 2*t wrt k.\nAnswer: 2*m - 4*t*u - 4*t - 412*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000070733 rounded to seven decimal places?\nAnswer: -0.0000707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.4 and -9.333.\nAnswer: -4.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/4 - 4*o**3\/3 - o**2\/2 + o - 4545. Calculate y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*y**2 + 55*y**2 - 159*y**2 + 47*y**2 - 319*y.\nAnswer: -7*y**2 - 319*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - -2.1. What is the second biggest value in 5, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -8*y + 5*y + 4, 2*y = -t + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5\/5*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-15) - (-2)\/(-3). Let h = 30 - 25. Which is the third smallest value? (a) -4 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 47*q**2 + 53*q - 240. Let a be o(48). Let p be 2 + 4\/(-6)*-6. Suppose 0 = -3*h + p - a. Is 2 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48.8 + -50.8. What is the nearest to 13 in 4, 9, b?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssjj when four letters picked without replacement from {s: 15, j: 4}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-14))\/((-1)\/7). Solve -m*s - 1 = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 642 - 425. What are the prime factors of k?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73595 is divided by 66.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*v + 7*v + 1581893 - 468274. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1215 = -12455. What are the prime factors of j?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1835400238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 2*l**4 + l - l**2 - l + l + 1. Let k = -7 - -8. Calculate h(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 - 2)*(-3*q**3 + 9*q - 9*q) - q**3 + 0*q**3 + 3*q**3)*(3 + 2*q - 3) to r*q**2 + v*q**3 + w*q**4 + i*q + m and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 84 = -120 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19775666?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 7669165?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2347448753?\nAnswer: 13, 59, 3060559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 - 3*n**2 + n + 14*n**3 - 8*n**3 as i*n**2 + s*n**3 + p + a*n and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33038 = -4*g - 3*l + 21855, 4*g - 54933 = 5*l. Is g a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.871 take away 0?\nAnswer: 1.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -381*d**2 + 7 + 4*d**3 + 171*d**2 + 227*d**2 in the form m*d + r*d**2 + u + t*d**3 and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0038 and 44741050.\nAnswer: 44741050.0038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4092903577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 11:36 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 + 53*w**3 + 73)*(4*w - 3 - w + 2).\nAnswer: 159*w**4 - 53*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiiifiiiififfffiff. What is prob of picking 2 i and 1 f?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 914429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 371*y - 648*y + 17.\nAnswer: -1019*y - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404b (base 15) to base 4.\nAnswer: 3110003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -39 - -18) + -35 - 40\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145208 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: Solve -4*h + 27 = 2*j + h, -2*j = -h + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (415 + 252 - 166)*(4*t + 0*t - 5*t) + 3*t - 4*t + 2*t + (0 + 0 - t)*(-4 - 2 + 4).\nAnswer: -498*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 2*b + 0*b - 2 + b + 2 - 1 + b + 1 + 5*b + 0*b - 4*b + (-2*b + b + 3*b)*(-2 + 0 + 3) - b - 1 + 1 + 2*b + 2 - 2)*(0 + 0 - b**3).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2816 and 224?\nAnswer: 19712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 + 2?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 3*c**2 + 1089*c**3 - 4*c**2.\nAnswer: 1089*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b - 6 = 0. Suppose 3*q - 10 = 2*y + 72, -2*y + 5*q = 90. Let m be ((324\/(-40))\/(-9))\/(12\/y). Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882200411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/9522 and -149\/270?\nAnswer: 142830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4286 + -4286.0004629. What is z rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s - 3*v + 27 = 0, s = v + 35. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/711745 and -21\/5660.\nAnswer: 2846980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1088) + sqrt(1700) + sqrt(1700)*-2.\nAnswer: -2*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, b: 3}. Give prob of sequence mbm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 699.7 - 700. What is the closest to -2\/9 in -6, 8, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.4. Let j = 0.3 - 0.3. Let d = -3 - j. What is the third smallest value in c, d, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -6\/5 (c) 4 (d) 5 (e) 2.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -14. Suppose -26 - 36 - 3*i**2 + 0*i**b + 65 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/143? (a) -1\/3 (b) 1 (c) 5 (d) -0.4 (e) 2\/149\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + 42 + -16 + (18 - 1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 38*g - 330. Determine d(-9).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 105?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m - m)*(4 - 1 - 2) - m + 2*m - 3*m - 2*m + 2 - 2 + 2*m + 0*m - 4*m + (3 - 8 - 4)*(-20*m + 13*m - 119*m).\nAnswer: 1126*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 9*p - 24. Let v be o(13). Let y = 40 - v. Suppose -y*t - 6 = 6. Is t greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + (7 - -17) - (6 + -3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2856 and 302.\nAnswer: -2554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125\/31250)\/((-30)\/(-100))?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = u + 6002, -3*w - 3*u + 7*u + 18005 = 0. What are the prime factors of w?\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.371 + 6.271. Which is the nearest to -4? (a) 20 (b) -4\/5 (c) o (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205952738.\nAnswer: 2, 751, 137119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a**3 + 21. Let p(o) = -2 + 2 + 3 - 4. Let b(w) = -18*p(w) - q(w). What is the derivative of b(g) wrt g?\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 7 (c) 2\/4295477 (d) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.035*39.9.\nAnswer: 1198.3965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763030.\nAnswer: 2, 5, 76303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 5*w - 6. Let o be v(6). Let b be 2 + o - (0 + 0). Suppose -5*h - 2*k - 10 = -65, 4*k = b*h - 22. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 774 - 0.8\nAnswer: 773.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0758 plus 0.4?\nAnswer: 0.4758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2732*w - 2053 wrt w?\nAnswer: -2732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 471537 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14865 is divided by 613.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.2. Let n = -0.07 + -1.73. Let i = n - z. Is -0.1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1944) + sqrt(1944)*1)*4)\/(sqrt(12)\/(sqrt(48)\/sqrt(588))).\nAnswer: 576*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -1.04, -0.3, -0.4, -515.2, -3\/5?\nAnswer: -515.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10*z**4 - 628*z**3 - 1264*z**2 - 16. Let o(c) = 19*c**4 + 1257*c**3 + 2528*c**2 + 30. Let r(h) = 15*g(h) + 8*o(h). Suppose r(i) = 0. What is i?\nAnswer: -316, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**3\/2 - 2*w. Let i(n) = -n**3 + 11*n**2 - 10*n - 2. Let b be i(10). Let u be ((-1)\/b)\/(7\/14). Determine s(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-39) - (-132)\/(-13). Let x = -14 + t. Let a = x + 17. Let g(l) = l**2 + 5*l - 8. Calculate g(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1917 - 2817. What is h rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -234. Suppose -3*h - 6 = -f. Suppose 2*z - h = -z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -115385106 from 2499.7.\nAnswer: 115387605.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1806, 3582, 5368, 7170, 8994, 10846, 12732?\n\"Answer: c**3 - c**2 + 1772*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10851 - -60250. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 108*m + 2. Let p be h(-36). Solve 2*f + 2 = -p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + -1 + 1*sqrt(2)))**2 + ((sqrt(12)\/sqrt(3) - sqrt(4))*1)\/(6*(sqrt(2) + (sqrt(6)\/sqrt(3) - sqrt(2)))).\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/12 + 7*n**3\/6 + 7*n**2 - 5*n. List the prime factors of r(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 12, 4\/5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2174*t - 2174*t + 104*t**4 + (12 - 31*t**2 - 10 - 15*t**2)*(-t - t**2 + t).\nAnswer: 150*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 2*f**3 + 0*f**3)*(-f**2 - f**2 + 0*f**2) + (-f**2 + f**2 - 2*f**5)*(1 + 1 + 0).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**6)*v**1*(v**(-1\/3))**(-3\/19)*(v\/(v*v**(1\/2)))**(5\/8)\/(v**(-2\/7)\/v)**(2\/89) assuming v is positive.\nAnswer: v**(1281999\/189392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1 = -6. Let g = -57889\/5215 + 1\/2086. What is the common denominator of g and (-15 - -18) + j\/((-12)\/297)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, e: 6}. Give prob of sequence evve.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**4*y - 199*u**4 - 8628*u**3*y + 2*u**2*y + 174*u**2 + u*y + 10*u - y - 1 wrt u.\nAnswer: -48*u*y - 4776*u - 51768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11713201 and 59274.\nAnswer: 3293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*v - 3*v + 102 = 0, 0 = -5*u - v + 154. Suppose 0*n - 5*n = -u. Let y(d) = -d**2 + 2*d + 1. What is y(n)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*n + 20 = -0*x, -4*n = 0. Let j(c) = -7 - x*c - 5 + 4*c**2 + 17. Calculate the remainder when j(-3) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13473968 is divided by 4491201?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(2*l**2 + l**2 - 2*l**2)*(l + 3*l**2 - 2*l + 0*l**2).\nAnswer: 3*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + 0 + (-23 - -27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, 5, -70, 1, -12, 17, 4 in decreasing order.\nAnswer: 158, 17, 5, 4, 1, -12, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*v**3 - 64 + 64)*(86*v**2 - 15*v**2 - 29*v**2).\nAnswer: 1050*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2 = -2*q + 16, 17 = -5*x + 2*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(44) + (sqrt(440)*-2 - sqrt(440) - sqrt(440))\/sqrt(10))**2 - -4*(sqrt(44) - (sqrt(44) - sqrt(264)\/sqrt(6))*-2).\nAnswer: 8*sqrt(11) + 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286 is divided by 133.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-3)\/((-12)\/(-56)). Suppose -h - 2 = -2*h. Suppose -5*b - 32 = -h*y, -5*y + b + 22 = 3*b. What is the greatest common factor of p and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 212? (a) -0.02 (b) 15\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**4 + 16630*d**3 + 13877645*d**2 + 82817400*d + 124002000 = 0.\nAnswer: -1660, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.55 + 16.64. Let a = -5 - -4.4. Let w = a - -2.6. Put w, -2, y in ascending order.\nAnswer: -2, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f - 4. Let i(k) = -22*k + 9. Let n(a) = 2*i(a) + 5*z(a). Let d(o) = o**3 - o**2 + o - 3. Let s be d(0). Calculate n(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4 + i**3 - 415676*i**2 + 478474*i - 12 wrt i.\nAnswer: 12*i**2 + 6*i - 831352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**3*a*a)*a**7\/a)**(1\/23)*(a**(-6)\/a*a**(2\/17))\/(a**(7\/4)\/(a\/(a*a*a\/(a*a**7*a)*a*a))) assuming a is positive.\nAnswer: a**(-5545\/1564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*u - 26, -5*u + 0 + 10 = 5*n. Let v(q) = -5*q**3 + 2*q**2 + q - 6. What are the prime factors of v(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**4*z - 2*j**4 - 11827*j**3*z + 47*j**3 + 2*j**2*z - j**2 - j*z - 2478*z - 49 wrt j?\nAnswer: -48*j*z - 48*j - 70962*z + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43612 (base 7) to base 5.\nAnswer: 322221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*o**2*v**3*w - 2*o**2*v**3 - o**2*v**2*w - o*v**2 - 3*o*w + 2*v**3 - 11*v**2 wrt v?\nAnswer: 72*o**2*w - 12*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + 0.04. Put -0.2, i, -3 in increasing order.\nAnswer: -3, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -31*g**8\/168 - 53*g**5\/60 - 99*g**2. Find the third derivative of k(p) wrt p.\nAnswer: -3720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-7*z**2 + 2*z**2 + 3*z**2 - 4*z**2 - 2*z**2 + 5*z**2 + 3*z**2 + 1 - 1 + (1 - 5 + 6)*(0 - 2*z**2 + 0) + 4*z**2 + 5*z**2 - 8*z**2).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2755107*p - 593980.\nAnswer: -2755107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -93, -181, -283, -405, -553, -733, -951, -1213?\n\"Answer: -c**3 - c**2 - 78*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 + -56. Let y(t) = 2*t - 15. Let p be y(i). Let o be (-2 - p) + 33 + -4. What is the greatest common divisor of o and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560419023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0084404 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 3*b**2 - 3*b**3 + 6*b**3 - 5*b**2 as z*b**2 + g + x*b**3 + t*b and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 d when three letters picked without replacement from {r: 1, q: 1, u: 1, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 3. Let p = 33 - 36. Let h be t(p). Which is the closest to h? (a) 0 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 7*a + 5*b + 5, a = 2*b + 8. Let x = a - -4. Solve -3*l - x = -0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 260*w**2 - 2*w + 12. Let u(s) = 521*s**2 - 4*s + 28. Determine 4*u(o) - 9*x(o).\nAnswer: -256*o**2 + 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -38?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (17 - ((-21 - -3) + -6)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 7\/151119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 28. Suppose -2*v - n*v = -14. Let 0 + 1\/3*b**v - 1\/3*b = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**6\/60 + j**5\/30 - j**2 + 3*j. Let c(a) be the first derivative of o(a). What is the third derivative of c(n) wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1157 - 1138. Let v(j) = -208*j**3 + 1. Let p be v(-1). What is the greatest common factor of p and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/104)\/(-12)*39.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1724 divided by 153?\nAnswer: -1724\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-19 - (-23 - -17) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1360*h**2 - 10*h - 5. Let i(y) = 679*y**2 - 4*y - 2. Determine -5*i(q) + 2*j(q).\nAnswer: -675*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/22)\/(33\/(-22))*(-7)\/28?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 72*g**2 - 10*g + 12. What is s(1)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/189399 and 25\/219.\nAnswer: 13826127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 329172 and 396?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + b - b + (-298*b**3 - 165*b**3 + 138*b**3)*(2*b - 2*b - 2*b).\nAnswer: 648*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 91.7. Suppose -k = 3*k. Let z be (k - 2)\/(2\/4). Which is the closest to 1? (a) -3\/2 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 957 - -b268?\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/27380*4\/6. Let m = -41059\/15059 + z. What is the common denominator of m and -23\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/11)\/((-12)\/(-16))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.3 (b) 44 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) - sqrt(96)\/sqrt(3)))**2 - (sqrt(144)\/sqrt(8) + sqrt(2))) + sqrt(72)\/sqrt(4) + -5.\nAnswer: -sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3135?\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/27 and -151\/5228928.\nAnswer: 5228928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1524?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/16)\/((-2)\/(-12)). Suppose -n*f - 202 = -13. Is -21 != f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/4)\/((-4)\/(-20)). What is the remainder when -11*i\/((-10)\/(-14)) is divided by (-20)\/((3 + -1)\/(-2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 66.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*m + 1, 2 + 1 = -3*m. Suppose 542 = 4*b - 5*d, d + 0 = y. Let x = b + -50. Calculate the remainder when x is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 100*b**2 - 465*b - 630.\nAnswer: -5*(b + 3)**2*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 57*r**5\/20 + r**4\/6 - r**3\/6 + 3*r. Is w(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 0. Let m be (-8)\/16*r\/2. Determine c, given that m + 2*c**2 - 1\/2*c = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 + 2*d - 1. Let r(q) = -4*q**3 + q**2 - 5*q + 3. Calculate 7*c(p) + 3*r(p).\nAnswer: 2*p**3 + 3*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15) + 58\/(-1015)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 9*r**4 + (-2*r - 2*r + 6*r)*(3*r**2 - r**3 - 3*r**2).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -152545090, -152545089, -152545094, -152545111, -152545146?\n\"Answer: -n**3 + 3*n**2 - n - 152545091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*-2*sqrt(65) - (sqrt(65) + -5*(sqrt(65) - (sqrt(65) - (sqrt(65)*-1 - sqrt(65) - sqrt(65))))))\/(-6*(sqrt(180)\/sqrt(3))\/sqrt(12)))**2.\nAnswer: 44*sqrt(13)\/3 + 1609\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 16 = 3*i - 3*z, 3*i + z = 3. What is the smallest common multiple of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70011189.\nAnswer: 3, 1123, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*x - 3*x = -455, -272 = 3*r - 4*x. Let u be r\/(-16) + 1*(-3)\/(-12). Solve -2 = -2*q - u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*b + 17378, -15*b + 13*b = -2*a + 17362. What are the prime factors of a?\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 5, o: 4, b: 1, v: 2, s: 2}. What is prob of picking 4 o?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 9*f = 412. Suppose f = -3*q + 4174. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Let b be -2 - (14\/(-49) - 26\/7). Calculate the highest common divisor of z and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 50464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 5*y**2 - 10*y - 5*y + 9*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-9)*210\/(-350)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Let l be 0 + (-2)\/(16\/12 - 1). Let v be (-3)\/(-9) + (-46)\/l. Solve d*g - 20 = v*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5 - 21632*u**4 + 156038784*u**3 - 375740469248*u**2 + 2995948343296*u = 0. What is u?\nAnswer: 0, 8, 7208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 10:46 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 87718, 87722, 87726, 87730, 87734?\n\"Answer: 4*f + 87714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + sqrt(242))**2 + (sqrt(242) + -1)**2 + 2)*2 - (sqrt(8)*1*-4)\/(-2*-1*sqrt(4))*-6.\nAnswer: 76*sqrt(2) + 992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -10894, 110\/13, -0.04, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1524*r = -1514*r - 10. Let b(j) = 0*j**2 - 2*j**2 - j**2 + j. Let g(l) = l**2. What is r*b(m) + 6*g(m)?\nAnswer: 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -2 + 2 + sqrt(684) + (sqrt(684) - -3*sqrt(684)) + 0)**2 + (-2 + sqrt(684) + -4 + sqrt(684) - 4*(sqrt(684) + -3)).\nAnswer: -12*sqrt(19) + 24630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3513?\nAnswer: 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -706111 - 1345?\nAnswer: -707456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-30))\/(54\/45)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*f - 1126*f + 4*f**3 - 3*f**3 + 562*f.\nAnswer: f**3 + 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35f9ec (base 16) to base 4.\nAnswer: -31133213230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -151360.79 rounded to the nearest one thousand?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62922.8 times 0.02?\nAnswer: 1258.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(88)*-4)\/sqrt(8).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**4 + l**3 - 2*l**2. Let r(x) = -593*x**4 - 2*x**3 + 4*x**2 - 289. Let d(i) = -r(i) - 2*z(i). Differentiate d(m) wrt m.\nAnswer: 2364*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333212 (base 4) to base 14.\nAnswer: -16aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = 6. Suppose 5*a = j - 1. What is the closest to 1 in a, -5, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 8 = 4*q, 0 = -4*q + 26*m - 23*m + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 3. Let o = -2 + s. Determine f, given that f**2 - f**3 - 4*f + 6*f - f - o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/3864 + 8573\/966. Let d = -2138 - -3130. Let l = d - 11969\/12. Calculate the common denominator of v and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12030 + -12024. Let a(o) = 13*o - 53. Give a(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*o - 0*b + 650, 5*o - 1603 = -3*b. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 c when four letters picked without replacement from cygcycc?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/1 + (-36)\/(-6). Suppose 0 = -j*l - 47 + 185. Calculate the remainder when l is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52658194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26964, -26828, -26690, -26550, -26408?\n\"Answer: j**2 + 133*j - 27098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 36*c**2 + 38*c. What is d(-37)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-4*(-1*sqrt(1053) - sqrt(1053)))**2 - -4*(sqrt(1573) + 1 + -4)) + 1.\nAnswer: 44*sqrt(13) + 606517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 4*i - 1. Let y(s) = 2*s**2 - 5*s. Let k = -748 - -752. Give k*z(c) - 3*y(c).\nAnswer: 2*c**2 - c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -1\/2 (c) -133 (d) -1\/8 (e) 93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/450 and -14\/207225.\nAnswer: 414450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 524.2 + -379. Let w = l + -145. What is the third smallest value in -0.2, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/6151 + 6175\/24604. Which is the smallest value? (a) 0.33 (b) t (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 4*l - 2*p = 18, 4*p = -l - 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 1:37 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - 11. Let w(t) be the third derivative of 2*t**2 + 0*t**3 - 4\/945*t**7 + 0 + 0*t + 0*t**r + 1\/540*t**6 + 0*t**4. Factor w(c).\nAnswer: -2*c**3*(4*c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -11, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 719\/8?\nAnswer: 719\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 112122010011?\nAnswer: -112122010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from eebpwbwwwwwbpwwwwwb.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -25) + -493 + 473 - 35.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-408)*(-90)\/(-10))\/((-3)\/144).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.05188683 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2120916149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -290, -1156, -2600, -4622, -7222, -10400?\n\"Answer: -289*f**2 + f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 4:20 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63277\/682 - 2748\/31. Let j = 240251\/78 + -26823\/13. Let l = 995 - j. Find the common denominator of v and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 3*z. What are the prime factors of -2 - (-6 + z\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4152, -4123, -4090, -4053, -4012?\n\"Answer: 2*l**2 + 23*l - 4177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43355153?\nAnswer: 43355153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 561 and 714.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**2 - 513*c + 102. Determine h(-74).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24\/37 (b) 43 (c) 8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -684 + 684.089. Let g = x - 0.289. Which is smaller: -158 or g?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 51*w**3 - 2*w**2 + 2*w - 1. Let f be u(1). Let o = f - 24. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338 + 2*a**2 - 110 - 117 - 111.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 269897653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 7) in base 10?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + d = -3, -9648*d + 9649*d - 2 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:07 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/6 + 10941*u**2\/2 - 240460*u + 7932518\/3.\nAnswer: -(u - 32779)*(u - 22)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -3, -2, 13.1, 527\/12, -0.4?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -71 (b) 1\/134 (c) -2\/13 (d) 11\/2 (e) -0.5 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*i - 4. Solve -b + i*w + 7 = 3*w, -2*w = 2*b - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fya when three letters picked without replacement from {f: 2, a: 1, r: 2, y: 7}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*y**2 + 131*y**2 + 137*y**2 - 3*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97080316699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*z - 97*z - 28 = -5*j, 0 = -5*j - 4*z + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16656 and 21.\nAnswer: -349776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01366 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*(3 - (-245)\/20).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 7300?\nAnswer: 69\/7300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/5 + (-5672616)\/(-120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1786, -3195, -4506, -5719?\nAnswer: -6834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16550209 to the nearest 10000.\nAnswer: -16550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23023, 46051, 69079?\n\"Answer: 23028*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9*n - 16\/9 - 1\/9*n**2.\nAnswer: -(n + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*b = 305*b - 5*b - 8738. Let c = -2 + 14. Solve -b = l - c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + 675\/15)*((-3080)\/80 - -38)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -15. Let l(s) be the first derivative of -3*s**2\/2 - 8*s + 1. What is the remainder when l(-9) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - -21102202?\nAnswer: 21102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m + 3. Suppose -30 = -3*h + y - 4*y, -2*y - 8 = 0. Suppose m*d = -5 + h. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 95, 94, 93?\n\"Answer: -b + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 39*z - 1. Suppose 11*w - 52 - 58 = 0. What is the remainder when n(1) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 + 9*y - 2 - y**4 - y**2 - 8*y + y**3 to the form h*y**2 + o*y**3 + r + n*y + b*y**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*h - 249 = 0, -4*l + 189 + 143 = -h. Solve -54*j - 145 = -l*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-221.730467.\nAnswer: 13.30382802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 329560 divided by 44?\nAnswer: 7490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 299805\/9 - ((-40)\/(-6) - 6).\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(5\/4)*j)*j**(2\/15))\/(j**(1\/3))**(-6)*(j*(j\/(j\/(j*j**(-2\/3)\/j*j)))\/j)**(-2\/57)*(j**(-2\/9)*j)\/(j\/((j**(-6)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(-25139\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91400 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**4*y - 21*d**3*y + 15*d + 11*y wrt d?\nAnswer: -72*d**2*y - 126*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 - 252*c**3 + 181 + 188 - 371 + 24*c**3 to l*c + o + g*c**3 + z*c**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1915*b = 38430 + 8019 + 47386 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 867*z - 13 - 4 + 3 - 5.\nAnswer: -867*z - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/15, -2\/7, -25690?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 37 = -5*d, 45 = -86*d + 81*d - 5*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-10) + 105\/6. Let j = -22 + y. Let u be (-392)\/22 + j\/22. Round u to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 8*n**2 + 44*n + 8. What is u(12)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1650.577 - -1660.6. Round q to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 13, -6, -2, 26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = 4*v + 356, 2*v + 262 = 3*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 46958*c + 563488. What is b(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/3 (b) 0.1 (c) 0.08 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.26. Let x = 2.04 - d. Which is the smallest value? (a) -4 (b) x (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 110.6 (b) -0.3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 9*n**2 + 4*n + 10. Let j be r(7). Let o = -92 + j. Let q(z) = -44*z - z**2 + o*z. Let u(i) = 2*i. Calculate q(u(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/71780 and -3\/4070.\nAnswer: 789580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 3*m**2 - m + 1. Let o be a(2). Suppose -o*b - 1357 = 908. What is the tens digit of b\/(-40) + 2\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42860391 a multiple of 678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975162?\nAnswer: 2, 3, 162527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6573 is divided by 6554.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52921\/60 - 882. Let r(j) be the third derivative of 0 + 0*j - 1\/40*j**6 - v*j**5 + 1\/24*j**4 + j**2 + 1\/6*j**3. Calculate r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 480*f + 6714. Let c be y(-14). Sort 2, 111, 4, c in increasing order.\nAnswer: c, 2, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 176, 5 in increasing order.\nAnswer: -38, 5, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 159*j + 159*j + 49 + 14*j**2 - 12*j**2 - 8*j**3 in the form a + p*j**2 + q*j + s*j**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 10 + -7 + 27 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, w: 5}. Give prob of sequence wwww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -351684.\nAnswer: -1\/351684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.083 and 7194.\nAnswer: 7194.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 - 19*i. Let q(w) = -16*w**2 + 55*w + 1. Determine 4*q(a) + 11*x(a).\nAnswer: 2*a**2 + 11*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 - 52*q**2\/11.\nAnswer: -2*q**2*(q + 26)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*y - 19 - 16 - 17 + 79 - 27.\nAnswer: -82*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*w + 144, 98 = 3*b + 2*w - 28. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*x**3 - 13*k**3*x + 2*k**2*x - 4209707*k*x**3 + 3*x**2 - 7767*x wrt x?\nAnswer: 6*k**3 - 25258242*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 435721.8 tonnes in kilograms?\nAnswer: 435721800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/11))\/(o**5\/o)*(o*o*o*o**(4\/9)\/o)\/(o*o**1*o))**49 assuming o is positive.\nAnswer: o**(-18130\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113222110300 (base 4) to base 10.\nAnswer: -6202672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -136015 (base 8) to base 7\nAnswer: -260232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q*q**2)\/q)\/q*q)**(-29)*q**(-8)\/(q**(-10)\/q) assuming q is positive.\nAnswer: q**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -837279 plus -145018?\nAnswer: -982297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 0 + 2*c**2 + 4 - 83*c + 87*c. Let t = 12 - 10. Suppose 0 = -k - k + 5*h - 11, 0 = 2*h - t. Determine q(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) 0.2 (c) 2\/19 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 3877*d**2 - 24054*d - 20223.\nAnswer: -(d - 963)*(d - 7)*(4*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -24*c - 244. Let k(w) = -84*w - 858. Let d(x) = -5*k(x) + 18*z(x). Let f be d(-9). Solve -p - 2*s - 9 = 0, 0*p + 3*p = s - f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 106*i - 3551. Let z be p(34). Solve 43*g + z = -33 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*w - 19 = 0, 26 - 27 = -a + 5*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b + 6 = 5*z, -6 = -2*z - 3*b. Suppose 0 = -2*t + 2 - z. Solve 2*x - 3*x + 2*x**3 + x**2 - x**3 - t = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 5. Let k(u) = u - 23 + 35 - 2 - 4*u. Calculate -7*j(n) - 4*k(n).\nAnswer: -2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*t - 1 + (-16 + 11 - 7)*(-3*t - 3*t + 5*t) to the form k*t + h and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -56, -350 in decreasing order.\nAnswer: 5, -56, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-264)*8)\/5.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 2:13 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u - 265. Let s(a) = 14*a + 463. Let t(d) = 7*i(d) + 4*s(d). Let h(n) = -20*n + 8. Determine 5*h(c) + 14*t(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29623252.\nAnswer: 2, 7405813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 5*s - 30, -c + 39*s - 35*s = 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 61*k + 255. Let o = -1 - -1.5. Let p = o + 0. Which is the second biggest value? (a) 4 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -272 + 324. What is the lowest common multiple of v and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*o + 32, -8*o = -3*n - 4*o + 81. Suppose -2914 = n*y - 17013. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.58 + 227.92. Let o = -234 + g. Sort 12, o, -1\/6, 5.\nAnswer: o, -1\/6, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0858 + 0.1142. Suppose 5*f + 4*o = 62 + 69, -110 = -4*f + 2*o. Let h be f\/(-45) + 28\/30. What is the closest to a in h, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 361, 823, 1501, 2407, 3553, 4951, 6613?\nAnswer: 8551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2. Let h(g) = -8*g - 1. Let i be 2\/6 - 513\/81. Let v(r) = 16*r + 2. Let b(m) = i*v(m) - 11*h(m). Determine o(b(y)).\nAnswer: -64*y**2 - 16*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(13110\/2517120)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**1)\/(o*o**(1\/4)\/o)*(o*o**7)\/(o\/(o*o**3*o)) assuming o is positive.\nAnswer: o**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - t. Let c(q) = -q**2 + q. Suppose 6*r + 9 = 2*r - 5*y, -5*r - 9 = 4*y. Calculate r*i(w) + 3*c(w).\nAnswer: -w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2725 - -17?\nAnswer: 2742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 3 + (4 - 3 - 2)*(1 - 6 + 3))*(p - 1 + 4*p - 3*p).\nAnswer: 16*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40690187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 2052.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22626 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z + 5*w = 85, -4*z = -4*w + 140. Let s be (z\/8)\/(-5)*4. Suppose -93 = -s*i - 6. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122228656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-147)*(-11269 + 11272).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let g = 5 + w. Calculate the greatest common divisor of g and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + 7. Let x = i - 11. Let n = -151 + 192. What is the remainder when n is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -530196.89 to the nearest 1000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064784.\nAnswer: 2, 3, 7, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 68. Suppose 0*r + 11 = 5*r - 2*w, 3*r = y*w + 5. Suppose 3 = -r*d + 201. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 146 = -v - s, -5*s = 10. Suppose -4*i + 8 = -v. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (9\/(-3) - -3). Suppose -i*b = -8*b + 96. What is the greatest common divisor of 16 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 2 t when four letters picked without replacement from wwtwttwrtw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1604324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5254558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 11, l: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 44 = -585*v + 587*v, 5*v - 2 = 2*p. Solve -19*o + 16*o = t - p, 5*o = 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*s**4 - 5*j*s**3 + 358*j*s**2 + 19*s**4 wrt s?\nAnswer: -48*j*s - 30*j + 456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (19 - 7))\/(-1 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 + 175*s**4 + 4632*s**3 + 28656*s**2.\nAnswer: -s**2*(s - 199)*(s + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 101?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-39) + 0 - (-111)\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Let t be (3 + 31\/(-10))*25\/(-10). Let i(p) be the second derivative of t*p**4 + 0*p**2 + 0 - 2*p + 0*p**3. Give d(i(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -11. Suppose -45 = m*q - 140. Suppose 6*h - q = 5. Calculate the remainder when 14 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237867738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168292439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2.96. Let q = s + -2.04. Let b = q + 1. Is b < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 + 11.95. Let r = j - 5. Let c = r + -12. What is the third biggest value in c, -0.6, 1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029785039 rounded to seven dps?\nAnswer: -0.0000298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 126401 or -166?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/384426 and -127\/6780?\nAnswer: 3844260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 9 (b) -3\/7 (c) 2 (d) -3 (e) 7\/104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2971343 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + 0.41. What is the third biggest value in r, 2\/9, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, and 2 j when four letters picked without replacement from {j: 2, k: 1, i: 2, e: 1, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 171291137.5 to the nearest one thousand.\nAnswer: 171291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59858281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 1075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8)*-4))**2*3.\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 1, n: 1, e: 1, v: 2}. Give prob of sequence en.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 951 = 1111 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -233223221322 (base 4) to base 6\nAnswer: -1123524230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.245 - -0.045. Sort -0.1, n, 8 in decreasing order.\nAnswer: 8, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 3*c**4\/8 - c**3\/3 - 385*c**2 - 1. Determine a(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62316306 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484908246 and 2088.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let t = -6 + 31\/5. Which is the third biggest value? (a) 0.4 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -18 + 2 - (-49 - (3 - 7 - 0))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 432?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m + 6. Let w be x(2). Let o = 181 - w. Suppose 3*f + 3*c = o, -3*f + 177 = -11*c + 6*c. What is the greatest common factor of 118 and f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49752.18 millilitres to litres.\nAnswer: 49.75218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**5\/30 + 263*k**4\/12 + k**3\/18 - 263*k**2\/6 + 9740. Factor q(a).\nAnswer: -a*(a - 526)*(a - 1)*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.82 times 15571\nAnswer: 12768.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2596, -2574, -2526, -2446, -2328, -2166?\n\"Answer: l**3 + 7*l**2 - 6*l - 2598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 3, 365, -0.108, -1\/3 in ascending order.\nAnswer: -2\/3, -1\/3, -0.108, 3, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*z**2 + 39*z + 1?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*g*o**3 - 18*g*o**2 - 10*g*o + 171258*g + 11*o**3 + 7*o**2 wrt o?\nAnswer: -300*g*o - 36*g + 66*o + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8.5 (b) 0.1 (c) 4\/11 (d) 0.2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(-2)\/l*l)\/l)**(-1\/26)\/(l\/(l\/l**(-6))*l**2))**(-12) assuming l is positive.\nAnswer: l**(-630\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z. Let q(f) be the second derivative of -f**4\/3 + f**3 + 2258*f. Calculate o(q(x)).\nAnswer: -28*x**2 + 42*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2144 and 15812.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/12 - 2\/(-1). Let w = -25.1 - -20.1. What is the nearest to j in 2, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169644 divided by -92?\nAnswer: -42411\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 6, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-171)\/(-152))\/((-6)\/8). What is the nearest to 3\/5 in -0.1, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 60 = -12*c. Let h(v) = 9*v**3 + 6*v**2 - v - 7. Let k(w) = -8*w**3 - 5*w**2 + w + 6. Give c*h(r) - 7*k(r).\nAnswer: 2*r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14241*r - 38*r**3 - 55*r**3 + 7120*r + 7121*r + 99*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6034.\nAnswer: 2, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76\/2*(-2 - -3). Suppose -6 = -4*i + x. Find the common denominator of ((-95)\/15)\/(2\/(-6)) and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 103*o + 1000. Let h be b(57). Which is bigger: 362 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -1\/17379 (c) -0.1 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30887*u + 10815 wrt u.\nAnswer: -30887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12739 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100110010 - 111?\nAnswer: -10000100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10144 + 102102?\nAnswer: 41403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12365.2 and 0.6.\nAnswer: -7419.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 15*s**2 - 62*s + 431. What is the thousands digit of b(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x = -108*x + 6522439. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57.54 - -58. Let o = l + -0.26. Let y = -0.4 + 4.4. What is the second smallest value in 5, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(((-5)\/(-5))\/((-3)\/6))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38235, -32904, -27575, -22248, -16923?\n\"Answer: -y**2 + 5334*y - 43568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(-11)*(z*z**(-2\/5))\/(z**11*z))**(2\/39) assuming z is positive.\nAnswer: z**(106\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/3, 0.8 in decreasing order.\nAnswer: 0.8, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76982 or -76981?\nAnswer: -76981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 2. Let t = j + 3. Which is smaller: -12 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 12*o + 36. What is k(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -89*u**2\/2 - u - 373. Let b(z) = -z. What is b(f(p))?\nAnswer: 89*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**5 - 19*f**4 + 8*f**3 - 2762*f**2 - 2*f wrt f.\nAnswer: -240*f**2 - 456*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**3 - 8*b**2 - 3*b + 7. Let t(p) = -11*p**3 - 14*p**2 - 6*p + 14. Calculate 7*n(d) - 4*t(d).\nAnswer: 2*d**3 + 3*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 5:42 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11.4830117 * -0.5\nAnswer: 5.74150585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o + 4*j = 6, -4*o = 4*j - 48. Which is greater: o or 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 5. Let j(z) = -2. Let b(q) = 6*j(q) + 3*w(q). What is b(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 2:55 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*w + 4*h - 33, -h + 11 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019130378 rounded to five decimal places?\nAnswer: 0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**3 - 19*p**3 - 22*p**3 + 60*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 862 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 1\/20*v**5 - v**3 - 1\/8*v**4 + 0 - v**2 + 3*v. Let x(r) be the first derivative of d(r). Factor x(t).\nAnswer: 3*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -i + 191, -5*u + 10*u + 679 = 4*i. Is i < 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -16*x**2 - x. Let t(j) = -33*j + 8. Give c(t(i)).\nAnswer: -17424*i**2 + 8481*i - 1032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3731 divide 5238387427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 20*s = -57 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.85759 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2621\/4 + 332979\/508. What is the common denominator of 12\/47 and d?\nAnswer: 5969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32444120010 - 2?\nAnswer: 32444120003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11364845 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4*m + 18, -28 = 2*u - 5*m + 17 - 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, d: 2, o: 4, b: 1, t: 1, u: 2}. What is prob of picking 1 o and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 179. Calculate the remainder when i is divided by 48.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -939 + 3259. Let a = o - 920. Round a to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4220)\/(-22) + 14\/77?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -174*p - 2*p**5 + 174*p - 143*p**3 + (0 - p**4 + 0)*(0*p + 2*p + 0*p).\nAnswer: -4*p**5 - 143*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(2 + r**3 - 2) + r**3 - r**2 + r**2 + 3*r**2 + 2*r**3 - 3*r**2 + 0*r**3 - 5*r**3 + r**3 - 2*r**3 + 5*r**3 - 5*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w**2 - 98*w - 7. Let s(b) = -5*b**2 - 90*b - 6. Let u(h) = -6*q(h) + 7*s(h). Factor u(x).\nAnswer: x*(x - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, 0, 71, -5 in descending order.\nAnswer: 71, 5, 0.3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -101*x**3 - 1719*x**2 - 8143*x + 1200. Let o(z) = 34*z**3 + 574*z**2 + 2714*z - 400. Let m(j) = 17*o(j) + 6*s(j). Factor m(g).\nAnswer: -4*(g + 10)**2*(7*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -266, -562, -976, -1508, -2158?\nAnswer: -2926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1967394 and 9\/814?\nAnswer: 72793578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -21, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*i + i - 14, 5*i = 2*f + 17. Determine l so that 2*l**i - 4*l**3 + 7*l**4 - 9*l**4 + 4*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -41. Calculate the remainder when 28 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 5*a + 4. Let m be n(-3). Suppose 2*x + m = -2*t, 5*t + x = 5*x - 25. Let j(g) = g**2 + 6*g. Give j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Let r = -0.9 + -3.1. Let u = r - -9. What is the third smallest value in u, k, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/29 or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37380618?\nAnswer: 2, 3, 11, 188791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 1, z: 1, j: 1, v: 4}. Give prob of picking 1 l and 1 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 166.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/630?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 32, 2, 4 in decreasing order.\nAnswer: 32, 4, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 1489 = -4*s + 1757, 0 = 10*d - 10*d - 5*s - 25 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.06. Let v = i + -0.24. What is the second biggest value in v, 3, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + u + 48, -6*u - 30 = -2*x - 2*u. Let k = 139 - 130. What is the highest common divisor of k and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48\/(-5) - 120\/(-150))*-10. Suppose 5*n + 8 = p. Calculate the smallest common multiple of n and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747381 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 9. Let h = -2 + b. Is 0.1 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**7\/210 - b**6\/40 - 41*b**5\/12 + b**3\/6 - 34*b**2. Find the third derivative of d(x) wrt x.\nAnswer: -24*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 - 2*v - 2. Let s(j) = -19*j**3 + j**2 - 13*j - 13. Let b(y) = 6*s(y) - 39*t(y). Factor b(d).\nAnswer: 3*d**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4901541 and 0.42?\nAnswer: 4901541.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - 1*sqrt(119)*-2 - sqrt(119))\/sqrt(7).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 63*i**2 - 2*i. Let q(c) = -189*c**2 + 222*c - 15. Let z(l) = -756*l**2 + 931*l - 63. Let n(m) = -21*q(m) + 5*z(m). What is 7*b(t) - 2*n(t)?\nAnswer: 63*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5*x + 6*g**4*x - 141*g**3 + 4*g**2 + 905*g*x + 13*x wrt g?\nAnswer: 60*g**2*x + 144*g*x - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -186.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/36*20\/6. Let t(p) = -2*p**2 + 2*p + 3. What is t(b)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -5. Let o be (1 - j - -10) + (1 - 0). What is the highest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 308 + 112. Suppose 0 = -5*o, 3*d - 101 = 2*o + v. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 3*h + 46. Let j(t) = -t**2 + 2*t - 45. Let f(r) = -7*j(r) - 6*y(r). What is the tens digit of f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*s - 4*i + 11, -32 = 4*s - 4*i. What is the nearest to 1 in s, -1\/158, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101781023?\nAnswer: 17, 89, 67271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - f - 115 = 0, 3*a + 6 = -2*f + 62. Suppose a*q = 154 - 88. Factor -1\/6*j + 1\/6*j**q - 1\/6 + 1\/6*j**2.\nAnswer: (j - 1)*(j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-305808 + 305808 - 898*u)*(-1 - 2 + 7).\nAnswer: -3592*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 62*i**2 + 177*i - 30. What is z(59)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(1*sqrt(6)) + -5*(sqrt(35) + (sqrt(35) - sqrt(35)*-1)))\/(2*sqrt(40)\/(-2*sqrt(8))).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one halves of a hour?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 533 - 530. Let f = -102 + 196. Suppose y*d - 22 = -b, 0*d + d + f = 5*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - -112367?\nAnswer: 112359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1405 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 46 = -4*i + 48, -k = 5. Let w = i + -25. What is the units digit of (4\/(-6))\/((-2)\/(-1560)*w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10800\/553 + 38506651\/1969786. Find the common denominator of q and 37\/8.\nAnswer: 14248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 143343552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013956.\nAnswer: 2, 29, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*o**4 + 0*o**3 - 2*o**4 + 3*o**2 - o**3 - 3*o - 2*o**4 in the form x*o**4 + h*o**3 + t + j*o**2 + d*o and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 54*k - 240. Give p(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 14. Let p = -13 + h. Suppose 41 = 5*b + 4*m - 5*m, -b - 5*m + 3 = 0. What is the lowest common multiple of b and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-15)*(4 + (-234210)\/12).\nAnswer: 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**4\/2 + 20*c**3\/3 - 13*c**2\/2 - 43*c + 1231. What is m(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*i + 0*i = -12, 2*b - 3*i = 3. Suppose b = -y + 16. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8495150 or -8495151?\nAnswer: -8495151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*o = -98*o + 4861482. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 6, 4.\nAnswer: -11, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 3*k + 54. Let d be u(-8). Let q be (10\/4)\/((-175)\/140). Sort q, d, 4 in descending order.\nAnswer: d, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1248 and 288?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (50\/(-7) + 7)*9 + (-4)\/(-14). What is the fifth smallest value in -36, 0.04, m, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -180 - 180*b - 8*b**3 - 34*b**2 - 8*b**3 + 11*b**3 - 21*b**2 = 0. What is b?\nAnswer: -6, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2. Let p(t) = -100*t**3 + 3*t**2 - 2*t - 431. Let a(k) = 2*b(k) + p(k). What is the second derivative of a(h) wrt h?\nAnswer: -600*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*p - 32 = 0, 26 = 4*a + 2*p + p. Suppose 0 = -5*z - 207 - 623. Let v = -110 - z. Calculate the highest common factor of a and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i - 2. Let t(w) = 45*w - 15. Let l(c) = 20*m(c) - 3*t(c). Let g(r) = 16*r + 14. What is -4*g(u) + 11*l(u)?\nAnswer: -9*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 14. Determine d(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*675\/1400*-7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93480, 374422, 842660, 1498194, 2341024?\n\"Answer: 93648*k**2 - 2*k - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vobemvbl. Give prob of sequence vml.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/40)\/(60\/50)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*l + 3. Let j = l - -2. Suppose -j*f = f. Solve 3*c = f, 2*p = c - 1 + 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 22 + 7 = 0. Let u = 71.2 + -38. Let t = -33 + u. Which is the nearest to t? (a) -2\/11 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520437877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 957*o**2 - 471*o**2 - 481*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**5\/20 - 7*s**4\/12 + s**3 - 5*s**2\/2 + 4*s. What are the prime factors of m(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60 - -160 - 1*-4. What is the highest common factor of 28 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 5963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.8 - -1.195. Round i to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 + 4 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-27)*k*k**8*(k*k**(11\/5)\/k)\/k*k*k*k*k*k*k*k\/(k\/(k**25\/k))*k assuming k is positive.\nAnswer: k**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from {p: 9, k: 2}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -54, -78, -102, -126, -150?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2737 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010 (base 2) in base 13?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 19, -5, 3, 1 in increasing order.\nAnswer: -5, 1, 3, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*1\/(-2)*(-224)\/560?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1169, -10777, -37293, -89171, -174865?\nAnswer: -302829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/2*16\/(-20). Let w be 35\/10 + (-3)\/p. Let 3*b**w + 7*b**2 + 3 - 4 - b**2 = 0. What is b?\nAnswer: -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 578, 591, 618, 665, 738, 843, 986?\n\"Answer: p**3 + p**2 + 3*p + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d - 6 - 58. Let r(w) = -25*w**2 - 8*w + 38. Let b(i) = -8*i**2 - 3*i + 13. Let t(k) = d*b(k) + 3*r(k). Differentiate t(n) with respect to n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3\/4)\/g)\/(g*g**0*g*g))\/((g*((((g**6*g)\/g)\/g*g)\/g)\/g)\/g**5) assuming g is positive.\nAnswer: g**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304624, 2437039, 8225034, 19496401, 38078932, 65800419?\nAnswer: 104488654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*a - 597670 = 0, 570006 = 4*i + 3*a - 625356. Let q be (0 - 2\/(-10)) + i\/305. Calculate the greatest common divisor of 35 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - a**2 + a + 3*a**3 + 2*a**2 - a**2 to w*a + s*a**2 + l + r*a**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34166977 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53615 - 0?\nAnswer: 53615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/12)\/((-261)\/348).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -504 (base 6) to base 5.\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -224.391 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-43))\/(f\/(f\/((f**25*f)\/f)*f))*(f\/(f*f**(-28)))\/(f**23\/f) assuming f is positive.\nAnswer: f**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/5100 and -137\/420.\nAnswer: 35700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvn. Give prob of sequence nv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-3)*2 - -2) + -1. Suppose 4*l = 4*l - o*l. Suppose -8*r - 5*r + 3133 = l. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285*g**2 - 56*g**2 + 180*g - 365*g**2 - 423 - 180*g wrt g.\nAnswer: -1412*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3*(3 + 11024\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 793881 and 330693?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8705*-0.1.\nAnswer: 0.18705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 12) to base 13\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 97 + 479. Let a be m\/7 - (2 + (-78)\/42). Suppose -2*k - 4*f + 18 = 0, -4*k + 19 = 3*f - 2. Solve -3*o - k = 5*c - a*o, 3*c - o = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 69 = -3. Calculate the highest common factor of 234 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*s + 4*o, -4*s + 5*o = 2*o - 29. Let z(x) = -x**3 + 11*x**2 - 2*x + 25. What is the lowest common multiple of 2 and z(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 955297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 - u**2 - 3*u - 2. Does 8 divide h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8796624 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 2, g: 3, a: 4, q: 1, r: 8}. What is prob of picking 1 r and 1 n?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/4)\/((-2)\/(-80)). Suppose 28 = 2*p - y. Suppose 4*q + p = 5*b + 2*q, b + q = 6. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 782, 61, -626, -1273, -1874, -2423, -2914?\nAnswer: -3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 3*m - 44*m**2 + 15*m**2 to the form d*m + x + s*m**2 and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3787*q**5 + 6090*q**5 + 869*q**5 + (-3*q**2 + 2 - 2)*(0*q**2 + 0*q**2 + q**3).\nAnswer: 3169*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 375527 - -1?\nAnswer: 375528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -159 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alaa when four letters picked without replacement from {l: 3, u: 2, g: 1, m: 1, a: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 24*b**2 + 38*b - 324. Let v be w(25). Let o be 2*(-3)\/(-9)*9. Sort v, 14, o in descending order.\nAnswer: 14, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 10*a**2 - 22*a - 51. Give t(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 3*f - 7*f. Suppose -f = 2*q - 557. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 + 7\/28. Suppose h = -3*l + y + 113, -2*y + 39 = 2*l - 23. What is the third derivative of 3*j**3 - 23*j - 13*j + l*j + 4*j**2 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1346574365 to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66*9\/264 + ((-106)\/104 - 1).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 6. Let o(r) = -r + 5. Let s be o(6). Let u be s\/4 + 27\/12. Suppose -3*f = -u + 14. Give b(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = -12*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023341 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 31289122?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6101597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*o + k*p**2 - 5*k*p + 3*k - 6*o*p**2 wrt p.\nAnswer: 2*k - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3 + 4*b**2 - 24*b = 0. What is b?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 7*v. Let i(h) = 2*h - 3. Let s be i(3). Let b be m(s). Solve 3*o = -o - n - b, 5*n = -4*o - 28 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -722 + 22*x**2 + 722 - 3*x**5 - 15*x**3 wrt x.\nAnswer: -180*x**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12422 or 12419?\nAnswer: 12419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - 7*c**2 - 4*c + 5. Let o(r) be the third derivative of r**5\/60 + r**4\/24 - r**3\/6 + 221*r**2. Give -h(g) - 5*o(g).\nAnswer: -2*g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from pqbkninb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 7002360?\nAnswer: 14004720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211 + 273. Suppose 50 - u = -12*k. Do -2\/573 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231304965 to the power of 1\/2, to the nearest integer?\nAnswer: 15209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090432.442 rounded to the nearest ten thousand?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**4\/24 - 5*n**3\/6 + 2*n**2. Let i be o(-6). Let k be (-2)\/(-1) - (-33)\/(-18). Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665514 (base 11) to base 12.\nAnswer: 432303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (116\/(-2))\/((160\/6)\/4) and 2 + ((-65)\/(-8))\/1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11692, 11764, 11936, 12250, 12748, 13472, 14464, 15766?\nAnswer: 17420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 765, 1493, 2209, 2913, 3605, 4285?\n\"Answer: -6*w**2 + 746*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9432119ml?\nAnswer: 0.0009432119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2296, 4597, 6898, 9199?\nAnswer: 11500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289064588 to the power of 1\/3, to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 1, t: 2, m: 2, k: 1, d: 4}. What is prob of picking 1 t and 1 p?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23867 - -23862. Let a(t) = 3*t**3 - 2*t**2 - 14*t - 5. Let z(v) = -v**3 + v + 1. Calculate p*z(w) - a(w).\nAnswer: 2*w**3 + 2*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, u: 3, z: 2, l: 1, s: 4}. Give prob of sequence wz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 7:59 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m - 3. Let n(f) = -4*f + 1. Let s(v) = -9*v + 3. Let a(d) = -5*n(d) + 2*s(d). What is 7*a(i) + 2*j(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**3 - 519*t**2 + 1578*t + 3. Let k(i) = i**3 + 2*i**2 + 1. Let d(s) = 3*k(s) - p(s). Find the second derivative of d(j) wrt j.\nAnswer: -12*j + 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = -4*s, 0*s + 2*c = -3*s + 8. Suppose q = -d - d - 2, s = 2*d + 6. Solve 5*a - 2 = q*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2207 at least 437\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*k + 62 - 890. Calculate the lowest common multiple of 6 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -5180587591553?\nAnswer: 5180587591553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvjjjvhvh. Give prob of sequence vjvh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -53562, -53796, -54028, -54258, -54486?\n\"Answer: d**2 - 237*d - 53326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 12*p = -f - 39, -3*p = -2*f + 69 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(24)*-2) + -3 + sqrt(17)*-1 + 1.\nAnswer: -5*sqrt(17)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 130, 161, 226, 337, 506, 745?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-2\/39))\/(i*i**24))**(1\/22))**(-10\/17))**(1\/16) assuming i is positive.\nAnswer: i**(2335\/58344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -83, -196, -355?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -252\/17 (b) -1\/5 (c) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 - 17*n - 14. Let k be v(-7). Suppose -c - k*c + 40 = 0. Let x = 0 - -2. What is the closest to 0 in c, -4\/3, x?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/(r**7*r)*r**5\/r**(-2\/9))**25 assuming r is positive.\nAnswer: r**(-850\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 182 = -0*n. Calculate the remainder when n is divided by 29 - (-11 + (3 - -5)) - 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 2. Let d be (-2 - -5*1) + (10 - 5). What is the smallest common multiple of (d - 9)*(0 + -3) and z(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2694808 and 3031659?\nAnswer: 24253272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 403\/93 + 798\/(-315).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 l when four letters picked without replacement from {a: 2, l: 8, j: 2, r: 2}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -12 - 3*t**2 - 2*t**2 + 6*t**2 - 2*t - 5*t. Let h be n(9). Suppose -h = -3*c - 0. Solve d + d = c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-116)\/14)\/(-2) + 30\/(-210). Suppose y*o = -5*n + 96, -23 = -5*o - n + 76. What is the greatest common divisor of o and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 0*m + 2*m + 5*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 961178 divided by -819?\nAnswer: -961178\/819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 7\/615?\nAnswer: 7\/615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*141\/(-126) + (-72)\/126?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*m + 59*m + 2*m**3 - 26*m)*(5*m**2 - 3 + 3).\nAnswer: 10*m**5 + 40*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23802*h - 2*i = 23805*h - 6*i + 106, 2*i - 46 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*2\/8)\/((-39)\/(-156)). Suppose 4*g + 2*y = -0*y - 2, -4*y = 12. Suppose 0 = -x - 0*x - g. Which is bigger: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 times -7.739\nAnswer: 1.70258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((90\/2)\/(-3))\/((-156)\/(-52))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3963*l + 3967*l - 7927*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-7)\/(70\/(-15)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3081540 divided by -1740\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -13 (c) 1 (d) 0.2 (e) -8 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/11 + 1592716*v\/11 - 1592715\/11 = 0. What is v?\nAnswer: 1, 1592715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541*c + 227810950 = -247970959. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 3, g: 1, v: 4, w: 6}. What is prob of sequence qvkk?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72465501?\nAnswer: 3, 24155167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15.91 (b) -4 (c) -0.5 (d) 0.02 (e) 6\/17 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -354 + -1?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 = q, -211*n + 213*n = -4*q - 2. Let v(k) = k + 2. Let g be v(0). Solve -g*f + f = n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Suppose 106 = 3*n + 2*s + 3, -2*s = -v*n + 62. What is the common denominator of 1\/16 and 2\/(-6)*n\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*x**3 + 0*x**4 - 3*x**2 + 8*x**2 - 3*x**4 - 3*x + x**4 - 32*x**3 to the form d + a*x**2 + j*x + s*x**3 + n*x**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6300 + -6707.9. Let j = i + 408. Which is the third smallest value? (a) -2 (b) -12 (c) -0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66\/36 - 2\/(-12). Suppose m = 4, x + q*m + 2*m = 18. Let j(h) = h**3 + h**2 - h + 2. Let u be j(0). Solve 0 = -b + 4*t - 5, 4*t - 4 - u = x*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + -0.29. Let o = -314.8 - -315. Let s = o + z. Is -1 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 15149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaabbb. Give prob of picking 3 a and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/2)\/((-11)\/(-110)). Let x be (l\/(-2))\/((-6)\/(-8)). Suppose 7*h = 2*h - x. Let k(z) = z**3 + 7*z**2 + 5*z - 1. Calculate k(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -35*f**2 + 141*f + 723. Determine i(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**11)\/m**13*((m\/(m\/(m\/((m**18\/m)\/m))))\/m)\/m**18 assuming m is positive.\nAnswer: m**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.731 + -1.031. What is the nearest to 0 in b, 5, -1\/2, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -111*n**4\/4 + 11*n**3 + 33*n**2\/2 + 33*n - 113. Let s(t) = -7*t**3 + 2*t**2 + 2*t + 2. Give -2*b(z) + 33*s(z).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 5*b + b)*(0 - 2 + 3)*(0 - 2 + 3)*(b**3 - b**2 + b**2).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and 8191.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10661*i**5 - 357*i**6 + 142*i**2 - 41*i**6 - 10661*i**5 + 101*i**6 wrt i.\nAnswer: -35640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.354 rounded to zero decimal places?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00203162 to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13625.243 and 0.28.\nAnswer: -3815.06804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 10*x - 1 + 0.\nAnswer: 10*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3561 - -3560.5. Sort z, -0.21, 0.09 in descending order.\nAnswer: 0.09, -0.21, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29025, 137, -4 in ascending order.\nAnswer: -29025, -4, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j - j**2 - 3*j - 1 + j. Let a = -795 - -800. Let r(l) = -2*l**2 + 5*l - 1. Determine a*r(s) - 6*c(s).\nAnswer: -4*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 180 - 166363?\nAnswer: -166173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 4:18 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 5, o: 1, n: 3}. What is prob of sequence ohb?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n - 4*s = -5*s + 4418, 3*s + s = -s + 10 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000011111100000000 - -100?\nAnswer: -111000011111011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969467371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(252) + -2 + sqrt(252))**2 + -3 + sqrt(252) + -3 + sqrt(252) + ((-1 + -1*sqrt(252) - 6*(-1 + sqrt(252))) + -5)**2.\nAnswer: -36*sqrt(7) + 13350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*y**3 - 116*y**2 - 208*y - 60.\nAnswer: 4*(y - 5)*(y + 1)*(8*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s - 3. Let y(k) = -3*k - 8*k + 26*k - 6*k + 2 - 5*k. Give 2*v(b) + 3*y(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/71, -3, 35, 4, 0, 0.54 in decreasing order.\nAnswer: 35, 4, 0.54, 3\/71, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 74894285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -16. Let o be 18\/(-27)*(q - -1). Suppose 2*b = -o + 6. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-93)\/(-5))\/(90\/150). Put -3, f, 3 in decreasing order.\nAnswer: f, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 - (1 + (2 - -3)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 15 = 22*a. Let t be 16\/6*(-9)\/6. Sort a, t, 3 in ascending order.\nAnswer: t, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 30. Let z be j(14). Solve 10*n = 11*n - z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) + (-21)\/72. Let s be (6\/4)\/(11 + -8). What is the nearest to 0 in y, -4, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 23*v = -808. What are the prime factors of v?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1010100001?\nAnswer: -1010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -925, -927, -929?\n\"Answer: -2*w - 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 19. Suppose -j + 0*j - f = 0. Let x = j + 6. Which is the nearest to x? (a) -2\/9 (b) 4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -15. Let w = p + 39. Suppose 3*u - 6*i - 1489 = -2*i, w = -2*u - 5*i + 962. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -0.0181.\nAnswer: -1.9819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let b(q) = q - 7. Let d be b(-5). Let r = 13 + d. What is the smallest value in m, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 51. Find the second derivative of -5*o + 14*o + 33*o**g + 8*o + 2*o wrt o.\nAnswer: 198*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*r**3 - 289 + 40*r**3 - 118*r**3 + 35*r**3 as w + x*r + n*r**2 + f*r**3 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2573, -10763, -24385, -43421, -67853, -97663, -132833, -173345?\nAnswer: -219181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14 and -247265864.6075?\nAnswer: 247265864.7475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 - -116. Let v be 0 - (-276)\/64*-2. Let s = v + 59\/8. Put -1.3, s, a in ascending order.\nAnswer: -1.3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 11172*k + 6 + 11182*k)*(-4 - 1 - 3) as n*k + w and give n.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(605) + sqrt(605)*-1 + sqrt(605) + 2 + -1 + -4 + sqrt(605)*1)*-1)**2 + 5 + -3.\nAnswer: -308*sqrt(5) + 2471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(4 - 7) + 22?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 1, -0.5, 5, -20?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -0.3, -344 in decreasing order.\nAnswer: 1, -0.3, -5, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 102493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33.313 and -391.4234.\nAnswer: -358.1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**3 + 6*d**2 + 4*d + 2. Let u(k) = -k**2 + 5*k - 6. Let m be u(4). Let s be -2 + 1 + m - -2. Let x(y) = y**3 + y**2 + y. What is s*g(t) + 4*x(t)?\nAnswer: -t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/8)\/(((b\/(b*b\/b**(-1)))\/b)\/b))\/(b**3)**(-23) assuming b is positive.\nAnswer: b**(585\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3110537958 a multiple of 5556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 0.11, -0.06, -3 in increasing order.\nAnswer: -3, -0.06, 0.09, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.013*-5.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 16. Suppose z = 5*t - t - 8. Suppose 3*h + 12 = 4*c, -3*c + 4*h = -c - 6. Which is bigger: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 - 4979*n - 306558. Calculate y(-57).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 1 = -11. Let q = 13 - 17. Let u(i) = i**3 + 5*i**2 + 5*i - 1. Let p be u(q). Sort 1, p, x in ascending order.\nAnswer: p, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -252961*c - 1441. Let a(k) = 527*k + 3. Calculate 2882*a(u) + 6*q(u).\nAnswer: 1048*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - b + 24. What is the units digit of (-2)\/((-4)\/b) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284024363 to the power of 1\/2, to the nearest integer?\nAnswer: 16853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - 14 - -7 - 2) + -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50189572247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**2\/2 + 5366. Let f(k) = 639*k. Calculate f(d(h)).\nAnswer: -639*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-24)\/7)*-21. Solve g*u - 9 = -9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 17 = 2*v, 5*v - m + 24 = -53. Let o(r) = -55*r - 88. What is the hundreds digit of o(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 37*z - 177 = -37*z. Calculate the remainder when 276 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -630?\nAnswer: -630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10314 divided by -9\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7946499?\nAnswer: 3, 11, 113, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1637*p - 97560 = -282*p for p.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9087864 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22730, 90936, 204636, 363848, 568590, 818880, 1114736?\n\"Answer: 3*y**3 + 22729*y**2 - 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let g be 261 + 0 - 9\/9. Suppose 4*s - g = -i*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56321143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -a28 (base 14) to base 16\nAnswer: -7cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51131 take away -0.30466?\nAnswer: 51131.30466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -14, 2\/13, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by ((-84)\/30)\/((-3)\/5)*6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 11. Let o(h) = -h + 3. Let q(z) = z. Let x(b) = -o(b) - 2*q(b). Let l be x(i). Sort -1, 3, l in ascending order.\nAnswer: -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96887633 divided by 41?\nAnswer: -2363113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 209682060 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 20 = 32. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0107 - -0.0793. What is the closest to q in 0.03, 0.3, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -0.06988?\nAnswer: -0.48916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 127.6?\nAnswer: -102.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.703 - -7.297. Which is smaller: 2\/3 or n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -865 divided by -100?\nAnswer: 173\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47432 and 163828.\nAnswer: 277524632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339 - 230 - (-25336)\/(-232).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = v - 12, -22*v + 24*v + 2*p = 0. Let f be (v*3\/9)\/(7\/14). Solve f*s = -5*w - 28, 4*s - s = -2*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-11)*i\/i**(-11))\/(i**(5\/4)\/(i\/(i*i**(-12)))))**(-42) assuming i is positive.\nAnswer: i**(-987\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - ((-102 - -37) + 5)) + 18\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uusoqsvo. What is prob of picking 1 u, 1 v, and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-191 - -191) + (-27 - 2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -816, -3314, -7478, -13308, -20804?\n\"Answer: -833*b**2 + b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t + 71*t - 20*t - 958275 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + q)*(117*q**2 + 341*q**2 - 281*q**2 + (6 - 1 - 4)*(4*q**2 - 5*q**2 - q**2)).\nAnswer: -175*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -802*m + 804. Let r be s(1). Which is the second smallest value? (a) -5\/4 (b) 0 (c) r (d) 9 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 359, 5, 1517, -3, -18 in descending order.\nAnswer: 1517, 359, 5, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77891088 and 2904?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 9. What is the remainder when 1\/1 - (-10 - -3) is divided by u(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 22 = -2*y, 0 = -5*y - 2285*h + 2280*h + 45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083050094.\nAnswer: 2, 1041525047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 - 4*t**2 - 16*t - 33. Let g be n(-6). Solve -782*i + g*i + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8028\/11 (b) -1 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 744 - 184 = -5*r. Let w = 114 + r. Suppose 2*a - 902 = -w*a - 5*t, -3*t = 6. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.87088 millilitres?\nAnswer: 0.00887088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 6775353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150958190.\nAnswer: 2, 5, 97, 155627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 10*v + 13. Let k be r(9). Suppose -t = k*t. Which is the third smallest value? (a) t (b) 4\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -665798, -1331850, -1997914, -2663996, -3330102, -3996238, -4662410?\n\"Answer: -y**3 - 666045*y + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1573*l - 4270 = 1695*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2739193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 8}. What is prob of sequence ccc?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2. Suppose u = -0 + 2. Let d(r) be the first derivative of 4 - r**2 - 11 + u + 3. Give d(c(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 7715.09 to the nearest ten.\nAnswer: 7720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j = -16179 - 27389. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167394208.7 to the nearest 1000000.\nAnswer: 167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4 - 67*q + 74*q - q**3 - 2*q**2 - 4*q**2. Let z be u(-7). Solve z*x + 2*l = 2*x - 2, 0 = -2*x + 4*l - 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcqwq. Give prob of sequence wqck.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1 in descending order.\nAnswer: 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*j - 24, 4*j = -2*a + 16 + 2. Suppose -2*l + 1 = -a. Suppose 123 = l*z + n, 2*z + 3*n + n - 138 = 0. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -796183 from 16.4.\nAnswer: 796199.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvev. What is prob of sequence ve?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -6*sqrt(5)*-2)**2 - sqrt(40)\/(sqrt(96)\/(sqrt(36)\/sqrt(3)))) + 5.\nAnswer: -sqrt(5) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -773 (b) -40 (c) 1 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-402)\/78 - (-70)\/14?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101512 (base 10) to base 6\nAnswer: -2101544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let a = -850148 - -850147.6. Let t be (-10)\/(-6) - (2 - 0). What is the nearest to t in 3\/2, g, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6 + 4. Let a = -5300\/9 + 10591\/18. What is the biggest value in 0.04, u, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {v: 1, h: 2, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -57*d + 15. What is the hundreds digit of u(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = g + 14. Calculate the remainder when 63 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54a257 (base 11) in base 3?\nAnswer: 1122120121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -23?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 8*x - 22. Let r(z) = 13*z**2 + 30*z + 89. Let p(j) = -9*l(j) - 2*r(j). Solve p(k) = 0 for k.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 8 = 4*w. Suppose -4*v = -5*r + 2*r + 51, r = -w*v + 7. Calculate the highest common factor of 65 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2101, -9079, -20709, -36991?\n\"Answer: -2326*c**2 + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**(-16)*z**(-1\/2)\/z**(-1\/9) assuming z is positive.\nAnswer: z**(-103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -13*z**6\/120 - z**5\/12 + 3*z**4\/8 - 17*z**3\/6 + z**2 + 17*z. Let k(d) = -3*d**3 - d**2 + 2*d - 4. What is 2*g(w) - 9*k(w)?\nAnswer: w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:25 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3038 - 5857. Let z = 4214 + p. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/103? (a) -4 (b) 28 (c) 0.131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssfssssfsssssssfssss. Give prob of sequence fsf.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 52.54411 nanometers?\nAnswer: 0.05254411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 52 - 3*x - x - 74 + 2*x**2. Let i be n(5). What is the greatest common divisor of i and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011 - 110010?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*g**2 - 55*g**2 - 16*g**2)*(3*g**2 + 3 - 3)*(-7*g + 2*g - 7*g).\nAnswer: 4104*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*t - 5. Solve -c = 0, 2*q = -0*q - 5*c + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*l + 4*x = -67*l - 418657, 5*l + 5*x - 418720 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66438, -132849, -199232, -265587, -331914?\nAnswer: -398213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3541297, 3541295, 3541293, 3541291, 3541289, 3541287?\n\"Answer: -2*q + 3541299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 155100044779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from allala. Give prob of sequence la.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16402\/3 or -5466?\nAnswer: -5466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 321*y + 11744. Determine c(-33).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 1. Let c(h) = -5*h - 4. Give -c(s) - 4*l(s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 1. Let d be r(-6). Let v(k) = k**3 + 8*k**2 + 7*k + 3. Let f be v(d). Let y(c) = f*c - 1 - 4 + 6. Determine y(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - i + 83. Determine w(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6365 is divided by 3141.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k + k + j, -5*k = -j + 10. Let t be k\/3 + 1\/(-3). Let b = 73\/10 - 15\/2. Is b at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 2)*(-b**2 - 3*b**2 + 2*b**2) - 1298 + 16*b**2 + 647 + 648 + (-190 - 18*b + 190)*(2 - 2*b - 2) in the form p*b**2 + m + n*b and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 2110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 5*j**2. Let y be -4 + 1 - (-15 + 5). Suppose y*q + 5 = 8*q. Determine g(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 - p - 1. Let t be q(-1). Let x = -3 + t. Let d be 5\/(-10) - (-5)\/2. Solve 9 = x*h - 3*c + d, -c = -4*h + 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*b**2 + 655*b + 190.\nAnswer: -5*(b - 19)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/(-39) - 0 - (-142)\/78?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/14 + (-4)\/14. Suppose -r*l = -7*l + 24. Let s(c) be the first derivative of c**4\/4 - 7*c**3\/3 + 7*c**2\/2 - 7*c + 601. Determine s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -701592 by 62.\nAnswer: -11316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - 16 - -17) + 11 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9263*x + 8*x**2 + 9251*x - 4 + 13. Let a(b) = -9*b**2 + 12*b - 9. Suppose -2*u + 12 = -0. Let i(k) = u*f(k) + 5*a(k). Suppose i(v) = 0. What is v?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) + 0)*1)**2*-4.\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -2*c**3\/21 - 2*c**2\/7 - 2*c\/7 - 1. Let a(h) = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 2*z - 2*z + (-2*z + 3*z + 2*z)*(4 - 5 + 3) - 68*z - 612 + 612 as m*z + y and give m.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89.157 + -0.857. Let k = j - 88. Which is the nearest to 0.09? (a) -2\/11 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**5\/60 - n**4\/24 - n**3\/3 - 81*n**2. Suppose -i = i. Suppose i = j + d - 2, 6*j = 2*j + 5*d - 28. Give q(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/72)\/13*6\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2866343, -5732815, -8599275, -11465717, -14332135, -17198523, -20064875?\nAnswer: -22931185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -144 and -5.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39381, -65404, -91439, -117492, -143569?\nAnswer: -169676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 102 = -y. Suppose 0 = 6*f - 3*f - 5*p + 136, -y = 2*f - 3*p. Is f bigger than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + y = -y + 12, -3*v + 5*y = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 + 7)*(2 + 5\/2). Let x(c) = -18*c - 24. Let p be x(f). Suppose -5*q - y = 2*y - p, 0 = -y. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*k*z**2 - 2*k + 171*z**2 wrt k.\nAnswer: 7*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134507 is divided by 26867?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136 - -106. Let l = -246 + t. Which is the nearest to -1\/5? (a) -2\/3 (b) 0.01 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1662406614.\nAnswer: 1662406614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and (-1)\/(-4)*40\/(-45) - (-4620)\/135?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68262 and 9486.\nAnswer: 3481362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 4*g - 2. Let n be r(-2). Let k = n + 10. Solve 4*v - 24 = 5*m, -2*v = -k*m - 0*m - 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 5*t**3\/3 + t + 5. What is g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-3) + (-1)\/(-3). Suppose 0 = -2*o + o + 4. Find the common denominator of -47\/18 and (37\/b)\/(o\/(-10)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 48. Let w(o) = -6*o**3 - 20*o**2 - 19*o + 6. Let i(g) = -g**3 - 4*g**2 - 4*g + 1. Let l(b) = 11*i(b) - 2*w(b). What is l(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3 - 3*o**2 + 2 + 2*o**2 - 5*o. Suppose 1 = -j - r, -2*r - 6 - 6 = 4*j. Let f be v(j). Solve -3*x = -2*s + f, 7*x - 2*x + 1 = -4*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.4, -6\/5257, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -689*t + 685*t + 58, -2*t - 3*n - 36 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 56, 44, 32, 20, 8, -4?\n\"Answer: -12*o + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*q**3*u**3*z + q**3*u**3 + 1031*q*u**3 + 22*u**3*z wrt z.\nAnswer: -5*q**3*u**3 + 22*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/3243 and 29\/534?\nAnswer: 577254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (24 - 27 - (1 - 9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 8*g**2 + 9*g + 18.\nAnswer: (g - 6)*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(10\/7)\/((x\/x**(-7\/3))\/x*x))\/((x*x*x**(-2\/13)*x*x)\/(x\/((x*x**(2\/11)*x)\/x))) assuming x is positive.\nAnswer: x**(-17816\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14396398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -834*j - 808*j - 70*j - 393*j.\nAnswer: -2105*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*v + 439*f - 4*v - 38 with respect to f.\nAnswer: -v + 439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -7, -2, 5?\n\"Answer: x**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 16) in base 10?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:35 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2956 + -14783\/5. What is the closest to 3 in 0.2, j, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(10\/(-99855)) + -5. Suppose l = 26*a - 2188. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-8) + 75\/100. Let q(m) = 62*m**2 + 7*m - 32. What is the tens digit of q(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - g - 5. Let m(v) = -4 - 4*v**2 - 78*v + 4*v**2 + 34*v - 2*v**2 + 43*v. Give -5*m(p) + 4*z(p).\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 195282 divided by -21698?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000101010 - 101?\nAnswer: 100000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 116762169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 + a37a94?\nAnswer: a37a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -124, -136, -164, -214, -292, -404, -556, -754?\n\"Answer: -n**3 - 2*n**2 + n - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 43008590*y + 92486940689405.\nAnswer: 5*(y + 4300859)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 7, w: 5}. Give prob of sequence bd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**4 + 0*n**4 + 19*n**2 - n**3 + 3*n**4 + n**4 + 3 to the form o*n**3 + j*n**4 + u*n + f*n**2 + y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 0 - (-1 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-23 - -21) + (-1 - -11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15433539 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 558?\nAnswer: 1\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, z: 8, o: 1, q: 2, t: 1, c: 2}. Give prob of sequence cqo.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 13. Suppose -v*r = -r - 312. Let n = 81 - r. Solve -5*x - n = 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*s**2 + s + 3*s**2 - s**4 - s**2 + 0*s**2 + s**3 as a*s**4 + y*s + j*s**2 + x + d*s**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 3*x = 15*f + 16, 5*f + x - 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 b when four letters picked without replacement from {e: 5, b: 15}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1 + 241*o + 208*o - 429*o - 1. Let f(p) = 18*p + 1. What is g(f(s))?\nAnswer: 360*s + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.5, -74, 0.1, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64673?\nAnswer: 7, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6095 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/49, 3068, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -887 + 891. Which is the biggest value? (a) m (b) -2 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 e when three letters picked without replacement from {k: 1, a: 1, e: 1, t: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 453\/12*-2*(-1 + -1). Suppose 14 = c - g. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -0.4 (b) -1 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, p: 1, l: 3}. What is prob of sequence pll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-9)\/3 - -20. Let n = 23 - r. Solve -4*o = -n*w + w, -5 = -5*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/2296*80\/(-10).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 7*a**2 - 9*a + 11. Let z be c(8). Suppose -4 - 23 = -z*d. Let r = d + 10. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -6*i - 2. Solve i = -4*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(6\/((-168)\/(-49))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25a6 (base 16) to base 8.\nAnswer: -22646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(320) + sqrt(320)*1*-4 + 0 + (sqrt(320) - -3*(sqrt(320) + sqrt(320) + 1)) + (sqrt(320) + 0)*4)**2.\nAnswer: 384*sqrt(5) + 20484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-4)\/(-8) - -12. Let f be (20\/g)\/(1\/3). Suppose n = f*n - 549. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**3\/3 - 9*w. Let c(f) be the third derivative of 0*f + 1\/6*f**4 + 0*f**3 - 6*f**2 + 0. Calculate c(z(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 9*l**2 - 13*l + 105. Let a be s(6). Let d be (15\/4)\/(1\/4). Calculate the greatest common divisor of a and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 16. Let u = 133 - 122. Let l be (26\/(-4))\/(u\/22). Calculate the remainder when 9 is divided by v(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 + 204. Suppose 0 = -5*g + 2*g + a. Suppose 4*v + 0*v = 2*x - g, -5*v - 44 = -4*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2786 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 133.4, -7631, 4, -0.2 in ascending order.\nAnswer: -7631, -2, -0.2, 4, 133.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322108 a multiple of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 8*c**2 - 8*c - 9. Let s be i(-7). Let m be 0\/(s\/((-5)\/(-5))). Let h(d) = d**3 - 13*d + m*d - 4*d**2 + 3 + 5*d. Calculate h(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 2\/11, 2\/13, -4, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 9:29 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1621 + -1578. Let d be 0\/2 + 9*1. Let n = m + d. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**47*(k\/(k\/(k**(-2\/7)*k*k)*k)*k*k)**(1\/8) assuming k is positive.\nAnswer: k**(2651\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + (-2*(sqrt(833)*2 - sqrt(833)) - sqrt(833) - sqrt(833) - (sqrt(833) - (-5 + 3*sqrt(833) + sqrt(833))))) + -1)**2.\nAnswer: 546*sqrt(17) + 7666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2787097 is divided by 1393265.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -41. What is the remainder when 16 is divided by 33\/r*6\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.82206m to kilometers.\nAnswer: 0.00682206","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1380*z + 4. Let x be g(-1). Suppose 13*v = x + 46. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 258 and -943.\nAnswer: -243294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -31*d**2 + 1. Let q(f) be the first derivative of -f**5\/60 + 21*f**2 + 92. Let r(b) be the second derivative of q(b). Give r(k(h)).\nAnswer: -961*h**4 + 62*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 856 divide 20466104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 14*w + 20. Let k be i(4). Let y(f) = -55*f - 17. List the prime factors of y(k).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4 + 2. Factor 4*r + r**2 + 3*r**2 - s*r + 2*r**3.\nAnswer: 2*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(-2*(568\/(-80))\/71).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 20.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) -0.5 (c) 9 (d) 262694\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 20. Let a(f) = 2234*f**2. What is a(h(t))?\nAnswer: 2234*t**2 - 89360*t + 893600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116221371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(3 + (-2078)\/692). Let l = p + 75. Let h = l + 180. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/15*(-10)\/(-2). Let l = 4.1 + -4. Which is the smallest value? (a) l (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/4)\/(v\/v**(-7\/8)))\/(v*v**(4\/21)\/v*v)**(-9))**41 assuming v is positive.\nAnswer: v**(22017\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*g**2 - 8*g**5 + 32*g**2 + (1 - 2*g - 1)*(-g**4 + g**4 + g**4) - 2*g**5 + 2 - 2 + g**5 - 5*g**5 + 2*g**5 + g**2 - g**2 - 2*g**5.\nAnswer: -16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791*o = 56*o + 13230 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + (-3 - -5) - -1) + 0. Is s bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 1. What is the third derivative of 5*b**2 - 11*b**5 - 14*b**2 + 6*b**t wrt b?\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5497550 greater than or equal to -5497528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5.99. Let k = p + 0.11. Which is the third biggest value? (a) k (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 1. Let y(n) = 2*n - 351. Calculate -3*r(p) + y(p).\nAnswer: -p - 348","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 36*b**2 - 37*b + 3. Let m be a(37). Solve 5*s = 0, -2*j - 4 = m*s - 5*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 + -66. Calculate the lowest common multiple of 6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/10 + 6 - 371\/126?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 650 and 806?\nAnswer: 20150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4579925037 to the nearest integer?\nAnswer: 67675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 434 = 714. Which is smaller: 278 or y?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1491*s + 73048. Calculate c(-49).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19339 divided by -1.\nAnswer: 19339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -179, -181, -183?\n\"Answer: -2*g - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6\/5))**(2\/139)*(y**11)**(-9))**(-9\/2) assuming y is positive.\nAnswer: y**(619353\/1390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 8*x + 3. Let b be m(9). Let a be 9\/(-6) - 87\/b. Solve 5*p + a = -2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -12. Let x = g + 9. Calculate the remainder when x is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83323, -166652, -249983, -333316, -416651, -499988, -583327?\nAnswer: -666668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.91 - 28.51. Let w = -0.1 + 1.1. What is the third biggest value in -5, q, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -2597.\nAnswer: 779.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*b**3 - 20*b**3 - 20 - 29*b**3 + 15*b**2.\nAnswer: -5*(b - 2)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -17. Suppose 5*p = -0*v + 4*v - 63, 5*p + 4*v + 87 = 0. Let k be (-1 + 13)*(-10)\/p. Solve 3*m - j = -l, 4*m - l = k*m - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2025\/4 - 506. Sort 3, -176, -4, y in descending order.\nAnswer: 3, y, -4, -176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 966?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5.04. Let f = k - -0.14. Suppose x - 16 = -3*x. Which is the third smallest value? (a) f (b) 2\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1041158*g + 749594 wrt g.\nAnswer: 1041158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 38*d**2 - 50*d + 0 + 0*d**3 - 28\/3*d**4. What is the first derivative of b(c) wrt c?\nAnswer: -224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 7. Let q be w(9). Let z be (34\/7)\/(q\/12). Let x = 2567\/84 - z. Find the common denominator of -89\/6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 8*l - 6. Let b = 57 + -27. Suppose -3*r = -8*r - b. Calculate m(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100058275 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/23, 1\/5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 253386436 and 18910?\nAnswer: 1266932180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3040205 grams to nanograms.\nAnswer: 304020500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430345 (base 16) in base 8?\nAnswer: 20601505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - 4*u + 3*u)*(-2 + 1 - 3)*(-8 + 17 + 9) as m + p*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 - 270. What is the third biggest value in z, -0.049, 0.4, -4\/9?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17590 - -527857\/30. Find the common denominator of 850\/140*(-18)\/(-135) and y.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) -1715 (c) -1\/8 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11797, 5, 4 in ascending order.\nAnswer: 4, 5, 11797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5245140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**2 - 29331*l + 465925 wrt l?\nAnswer: 2*l - 29331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 18. Let x be d(20). Suppose -12*i - x*i = -56. Solve 3*c = i*o + 17, -12 = -2*c - 2*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.41 + 2.41. Suppose -1 = -4*h + 11. Let v be -2*h\/9*-1. Sort -2, v, r in descending order.\nAnswer: v, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 9:04 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 129 - 17?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 104827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1120 and 280.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**4 + 16*x**3\/9 + 10*x**2\/3 - 8*x\/3 + 332. Solve g(j) = 0 for j.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 7. Let m be ((-12)\/i)\/(4\/14). Let d(k) = 97*k - 23. Is d(m) 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 2810 and 3631490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1010\/3 + 304. Let v = -33 - s. Which is the closest to 0.1? (a) 1 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41068, 41057, 41026, 40969, 40880, 40753, 40582?\nAnswer: 40361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-12))\/((-12)\/40). Suppose 0 = -z*x + r + 555, -r = x - 6*r - 135. List the prime factors of x.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/m)**(-26)*m**(-30)*m**(-1\/11) assuming m is positive.\nAnswer: m**(1099\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-12)*(-12)\/14. Suppose -1 = w*f + 5. What is the common denominator of f\/10*29\/(-4) and 63\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 50\/(-42))*(11 - 1711\/174).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h - 9. Let y(a) = -7*a - 7. What is 5*i(z) - 6*y(z)?\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 7*p + 11. Let h be r(8). Let l = h - -2. Solve 3*f + 6 = 0, 2*b = -0*b + l*f + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u - 497. Let r be a(82). Put r, -4, -19, -1, -3 in descending order.\nAnswer: -1, -3, -4, r, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 18*d**2. Let p(y) = 7*y**2 - 2. What is p(a(x))?\nAnswer: 2268*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*c = -99*c - 105*c - 5*x + 41, c + 0*x + 4 = 2*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46a9986 (base 11) to base 7.\nAnswer: 126542022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 15*b + 818. Calculate the remainder when h(-21) is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 46. Let t(w) be the second derivative of -7*w**3\/6 - 5*w**2\/2 - w. Does 12 divide t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2. Let y be w(1). Let p(k) = 4*k**2 - 2*k - 5. Let n(r) = 41*r - 60*r + 46*r - 6 - 29*r + 5*r**2. Calculate y*n(m) - 6*p(m).\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -6*b + b - 2, -7 = -4*p + 3*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -208 + 332. Let m(o) = -3*o - 24. Let q be m(-9). Suppose h = -2*h - 3*p + 108, p = -q*h + 98. What is the greatest common divisor of c and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {q: 7, o: 4, m: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46, 58, 72, 88, 106, 126?\n\"Answer: a**2 + 9*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-16))\/(15\/(-20)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 3*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -39. Sort -4, -3, s, -5.\nAnswer: -5, -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 6 - 4 + 6 in the form a + d*o**2 + p*o and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*y - 3*y + 22, 5*w - 30 = -5*y. Let b(h) = -h**2 + 3*h + 4. Determine b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 27. Let x(k) = k + 31 - 20 - 2*k - 7*k. Let f(m) = -2*m + 3. Let r(s) = o*f(s) - 6*x(s). Let g(d) = 3*d**2. Calculate r(g(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2846395 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -115.9.\nAnswer: -116.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 1740*z + 412324. Determine g(-283).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.728 and 0.06?\nAnswer: 7.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 4*f + f)*(f**2 - f**2 - 2*f**2) + 0*f**3 + 3*f**3 - 2*f**3 + 0 + 0 + 2*f**3 + f**2 - 1442*f**3 + 2859*f**3 - 1429*f**3.\nAnswer: -13*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 162093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342373638 is divided by 1484.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 810455*f**3 - 218946309309*f**2 + 19716480061629757*f - 39432084344505902.\nAnswer: -(f - 270151)**3*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/11772 and -1\/5232?\nAnswer: 47088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 24.62. Let m = -86469 - -86469.37963. Let z = u - m. What is z rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*x - 36. Sort x, 19, -4, 1 in decreasing order.\nAnswer: 19, 1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/7 - 3283552*d\/7 + 673857108544\/7.\nAnswer: 4*(d - 410444)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1954975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:12 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 12. Do -0.1 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-2 - -1)*-2. Which is bigger: -3\/2 or c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301022 (base 4) to base 16.\nAnswer: c4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 55?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffv when three letters picked without replacement from {v: 1, f: 2, x: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let i(u) = 18930*u. Give i(f(c)).\nAnswer: 18930*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 23, -78, -179, -280?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10607293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73 - -70?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-15))\/1*8\/(13 + -61).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/(1\/(-3)). Let l(t) = 4*t**3 + 4*t - 3. What is the units digit of l(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g**3 - 3282422*g**2 + 1017*g - 63039 wrt g.\nAnswer: 60*g - 6564844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197628116 to the power of 1\/2, to the nearest integer?\nAnswer: 14058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/22 and -47\/261738.\nAnswer: 2879118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 123 + 3262?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 410 and 328?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10153501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (186\/21)\/((-108)\/28 + 4). Let v = -2 + 4. Suppose 4*m - r - r = 124, v*m - b = 4*r. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**2 + 11*b - 11*b - 3. Let o(t) = t**2 - t - 1. Let l(m) = -2*m - 2. Let d(s) = -l(s) + 2*o(s). What is g(d(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 3*v. Let x(r) = 3*r**2 + 25*r - 40. Let b(j) = j**2 + 8*j - 13. Let i(c) = 7*b(c) - 2*x(c). Let m be i(-8). Calculate y(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -7\/2, -0.5, -1\/8, -10 in ascending order.\nAnswer: -10, -7\/2, -0.5, -0.3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134089 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -940, -4 in descending order.\nAnswer: 5\/3, -4, -940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 355*h - 5. Let q(x) = 180*x - 3. What is -4*n(r) + 7*q(r)?\nAnswer: -160*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118655.\nAnswer: 5, 19, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from svzzspbd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 5\/3 (c) -0.5 (d) -1.3 (e) 2\/7 (f) -598\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.533 less than -248?\nAnswer: -247.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Let u(h) = -2*h - h**3 + 2*h**2 + 2 - 6 - 8*h**2. Let c be (1 - (-7)\/((-63)\/72)) + 4. Determine u(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q**2 - q + 3. Let s(o) = 39*o**2 - 6*o + 15. Let c(z) = -5*s(z) + 24*v(z). Find b such that c(b) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -804*s**2 - 127*s**2 - 3*s - 1 + 5*s.\nAnswer: -931*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 55 = -3*d, -2*m - 10*d + 22 = -13*d. Suppose 3 = -m*q + 80. Solve 0 = -4*o - 2*a - 14, q = 5*o + 2*a + 22 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 221656\nAnswer: 2881528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**6\/15 - j**4\/12 - 3*j - 3. Let x(h) be the first derivative of f(h). Find the third derivative of x(v) wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iww when three letters picked without replacement from pywpwppwpxppi.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*v - 450781 + 60157. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 17 = 4*s, -4*j = -3*s - 0*j + 26. What is the second derivative of -3*r**3 - r - r**3 - 5*r**2 + 5*r**s wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378853.4 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 11. Let l be z(9). Let b = l - -8. Suppose 2*u - b = -3*u + m, 4*u + 3*m - 27 = 0. Solve -t + 8 = -u*o + o, 0 = 3*t - 2*o - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 293, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1327 = -4*q + 5*k, 3*q - 4*k = -2*q - 1652. Let p = q + 341. Solve -p = r - 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -1. Suppose -5*r = -6*r. What is the biggest value in 5, 2\/9, r, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - k)*(-2*k**2 + 2 - 2) + (-12*k + 27*k - 27*k)*(-2 + 2 - k**2) to the form z*k**3 + o + x*k**2 + q*k and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/11, 0.18, 2\/59 in decreasing order.\nAnswer: 2, 2\/11, 0.18, 2\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254168 is divided by 1776.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 29\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -133, -485, 0.\nAnswer: -485, -133, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-21))\/(24\/56).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 799729 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2011435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3 + 94060*p**2 - 1976102*p + 1882040 = 0.\nAnswer: -47051, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*b + 21*b + 5*s - 5, 0 = -6*b - 3*s + 39. Let o(i) be the first derivative of -4\/9*i**3 + b + 16\/3*i + 0*i**2. Factor o(d).\nAnswer: -4*(d - 2)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7657 minus 5315870278?\nAnswer: -5315862621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1) - (-2)\/(-4)*2. Let g be 0 - 456\/(-1359) - w\/(-9). Let c = 8165\/4983 - g. Calculate the common denominator of c and -2\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 19. Let v be t(0). What are the prime factors of (1 - v)*-1 - 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 i, and 1 p when three letters picked without replacement from {g: 4, s: 1, i: 2, k: 5, p: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from qjbbjbqbbbbbbb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 15, 2.13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 7*n = 0. Suppose 17*s - 13*s - 148 = n. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 1. Let f(k) = -9*k + 1. Calculate 6*c(i) - f(i).\nAnswer: 3*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385*r**3 - 171518*r**2 - 55974*r + 6 wrt r?\nAnswer: -2310*r - 343036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-354)\/(-60))\/(-59))\/(-2*(-3)\/50)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 594?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, a: 5, f: 2, w: 2, i: 1, r: 1}. Give prob of sequence iw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times -2.9?\nAnswer: -136.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 8. Suppose -2*k + 3*b = 1, 4*k + 3*b - 22 = v*k. Let p = k + -4. Let h(o) = -o - 2. Let u(n) = 2*n + 3. Calculate p*u(y) + 4*h(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*t, 2*w + 3*t = -3*w + 42. Suppose w*q = q - 45. Is q\/(-6) + 787\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 6\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -18. Suppose 1671 = d*z + 626. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 17. Let g(k) = k + 17. Let r(l) = 4*g(l) - 3*o(l). Let w = 7669 + -7658. What is r(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 5 + 5)*(1 + 6*n + n**4 - 6*n).\nAnswer: -2*n**5 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7395*m**3*q**3 - 225*m**3 - 2*m**2 - 2*m*q**3 - 5*q wrt q?\nAnswer: 44370*m**3*q - 12*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a + 0*a + (0*a - a + 2*a)*(1 - 1 + 1) + 2*a - 7*a + a)*(-6*a**3 + 2*a**3 + 2*a**3).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 5. Let w be z(-3). Let d be (-260)\/(-12) - w\/6. Suppose 3*n + 0*n = 33. What is the greatest common factor of d and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 4. Let t be d(5). Let m(n) = 9*n. What is the units digit of m(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.0000017 + -31. Round w to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -29. Find the second derivative of 24*j**n - 26*j + 23*j + 5*j wrt j.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 971327 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 0. Let x be (-58)\/w - (-4)\/8. Let p be ((-2)\/(-6))\/((-1)\/(-30)). What is the greatest common factor of x and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -321*y + 86*y - 110*y as m + o*y and give o.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -1.9. Are w and -2\/627 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.75? (a) 2 (b) 23 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 447*d - 401*d. Is -9\/4 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 779450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -15, -2*d + 5*d + 34 = 4*g. Let h be 229\/(-15)*d\/65. Let p = h - 56\/13. Is p greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 n when four letters picked without replacement from minmiiiy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 881*j**4\/12 + 296*j**3\/3 - j**2\/2 + 3*j - 69. What is the second derivative of f(g) wrt g?\nAnswer: 1762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6907301*i*n**2 - 194*n**2 - 6422 wrt i.\nAnswer: -6907301*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2495713, -2495727, -2495741, -2495755, -2495769?\n\"Answer: -14*z - 2495699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 27 = -1. Let c be (11 - (1 + 0))\/(a\/7). Suppose 0*m - 256 = -c*n - 4*m, -m - 105 = -2*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2987\/6 + -38291\/78. Let z = -1376\/195 + f. Let p = -0.39 + 0.29. What is the nearest to p in -1, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78.26 - -78.2602917. What is p rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30306 = 74*z - 54720. Solve 4*g = 1161 - z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0142014 micrograms in tonnes?\nAnswer: 0.0000000000000142014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(637) - sqrt(637)*-3 - sqrt(637))**2 + 5 - (1*(3 + sqrt(637)) - sqrt(637))**2).\nAnswer: 28645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 586, 416, 246?\n\"Answer: -170*u + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2933.2 - -2933.6. Which is the fifth biggest value? (a) r (b) -22 (c) -6 (d) -0.5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/7))**(2\/5) assuming l is positive.\nAnswer: l**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6 - 7*y + 11*y - 3*y. Give r(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 6*t**3 - 10*t**3 - 6*t**3 - 7*t**3 + 26*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41170?\nAnswer: 2, 5, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t. Let w(n) = n + 0*n - n + 2*n. Determine w(x(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2299504867.\nAnswer: 11, 209045897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.5 + 14. Let m = -21 + 19. Which is the nearest to m? (a) y (b) 7 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/2615, -2\/11, -19, 7 in descending order.\nAnswer: 7, 4\/2615, -2\/11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0 = -6, -2*l = -2*u + 8. Suppose 4*z = 4*j - 12, u = -z + 2*z + j. Put -2, 5, z in increasing order.\nAnswer: -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206076 is divided by 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203903876?\nAnswer: 2, 11, 38299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**5 - 4*d**5 + 0*d**5)*(13 + 17 - 57).\nAnswer: 54*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -2\/9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.054 - -56.946. Let o = -144 + a. Let g = -85.46 - o. Round g to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e + 37c?\nAnswer: 3cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5074169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220497791.\nAnswer: 220497791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -19 + 83 - 38*b**2 - 16*b + 8*b - 18*b. Let c be t(26). What is c rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/5 - 38*w**4\/3 - 70*w**3\/3 + 148*w**2 + 86*w + 2. Factor k(h).\nAnswer: -4*(h - 1)*(h + 2)*(h + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(136) - 2*sqrt(136)*-2) + -1*(2*sqrt(136) + sqrt(136)))*-3)\/(3*sqrt(96)\/(sqrt(768) - sqrt(768)*2)))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2 = 3*y, -y + 4*f + 1 = -7 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-4\/5)*c)\/((c\/(c*c**(-2\/15)*c*c*c))\/c))\/((c\/c**5)\/((c*c**(-3))\/c)) assuming c is positive.\nAnswer: c**(106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3 = -5*t, -104 = 4*f - 2*t - 110. Let p = -8 + 13. Solve -2*c + p = f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 1920*n**2 + 25908*n + 134096.\nAnswer: -4*(n - 17)*(n + 4)*(n + 493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1100120101010 (base 3) to base 12\nAnswer: 2a8670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274478514?\nAnswer: 2, 637239257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16581668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 105 - 105 = 0. Let q be 2\/4*0 - -3. Let n(m) = -m**3 + 17*m**2 + 2*m - 34. Let v be n(17). Solve v = -3*y - f + q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79720061 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 36581022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000428715787 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m - 10*m - 4*m)*(-14244*m - 51*m**2 + 14244*m) to the form z + f*m**3 + r*m + b*m**2 and give f.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/32)\/(-3))\/((-76)\/(48640\/(-3240))).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (27\/(-5))\/((-8)\/(-10)) and 3\/(-12) + 111\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -382 and 12.\nAnswer: -4584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 271000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 5*a - 35, 2*a = 3*a - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x**2 + 3*x + 20*x**2 + 7*x**3 - 40*x**2 - 5*x in the form p*x + l + v*x**2 + s*x**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 326465814 from -40.\nAnswer: -326465854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 2. Let h = 20 + -13. Suppose -h*u - 18 = -u. Give z(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from hdrpiud?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114800 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 + 48 - 9)*(-2*t**2 + 2*t**2 - t**2) + (1 - 2*t - 1)*(0*t + t + t) to the form w + s*t + j*t**2 and give j.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281036476.\nAnswer: 2, 7, 43, 233419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17743369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/20)\/((-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, w: 2, u: 3, o: 2, t: 3, i: 1}. What is prob of sequence us?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - 0. Let p = t + 0.08. Let s = -5 - -8. What is the nearest to p in s, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.89 times -0.6\nAnswer: 14.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995733 equal to 2995734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 33130 (base 7) to base 13\nAnswer: 3a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**4\/8 + 2*l**2. Let t(h) be the third derivative of 0*h**3 + 0*h + 0 + 9*h**2 - 1\/2*h**4. Give t(g(r)).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 11*m + 18 = -8*m, r + 4*m - 14 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, -4066, -1\/4, -1, -0.1, -8.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**3 - 8*v**2 + 4*v + 6. Let o(m) = -m + 1. Let w(d) = -2*o(d) + u(d). Suppose -3*z = 2*x - 21, 5*z - 4*x + 5 = 18. Is w(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**3 - 5*g - 12*g + 21*g - 3*g + 2 - 64*g**3 as o*g + d + m*g**3 + v*g**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348337.7l to millilitres.\nAnswer: 348337700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378140?\nAnswer: 2, 5, 7, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*z + 4*y = 158*z - 4, 0 = 3*z + y + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 2. Let b be 3\/6 + 1\/2. Let a = b + -6. What is the units digit of y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 44. Let t = -1.7 + 1. Let i = t - 4.3. Does o = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 - 4*p - 4. Let w be x(-1). Let f(j) = 14*j - 46. Let l(i) = -5*i + 16. Let u(q) = w*f(q) + 11*l(q). Give u(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5\/9 - 10*r**4\/9 + 2*r**3\/9 + 14*r**2\/9 + 2*r\/9 - 4\/9 = 0.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11144241413 (base 5) to base 11.\nAnswer: -7063499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 421 - 869. Let f(v) = 109*v + 7. Let c be f(10). Let a = c + z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 8) to base 9.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b*b**(-2))\/b)\/b)\/b)\/(b**(2\/3)\/b))\/((b*b*b*b\/b**(-4))\/b*b**5) assuming b is positive.\nAnswer: b**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1274\/325)\/(111\/((-74925)\/(-54)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9820839 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y - 46 + 46)*(80*y - 80*y + 73*y**4) - 3*y**5 + 2*y**2 - 2*y**2.\nAnswer: 654*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/2 + 12691022*w**2 + 152292291*w\/2 + 114219225 = 0. What is w?\nAnswer: -3, 25382050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58932 and 1637?\nAnswer: 58932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.104170071 times -0.1\nAnswer: -0.0104170071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112777?\nAnswer: 7, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.11393 grams to milligrams.\nAnswer: 74113.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165236 and 1616.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000017542 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 6, -5, -12052 in decreasing order.\nAnswer: 12, 6, -4, -5, -12052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10387?\nAnswer: 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5218 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 194 + 110*u + 7*u - 3*u**4 - 193 in the form l*u + v + k*u**3 + p*u**2 + o*u**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 388700 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2 + (2 - 1). Suppose 0 = -t*h - h - 20. Does 18 divide (-57)\/(-2) + h\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 - (3 + (-656)\/56). Put -0.4, h, 1, 0.47 in decreasing order.\nAnswer: 1, 0.47, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 = 4*r + 257 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 28*f**3 - 8*f**2 + 57*f - 212. Let g be m(4). Solve 6*i + g - 1710 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66540 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12989, 51652, 116097, 206330, 322357, 464184, 631817, 825262?\n\"Answer: y**3 + 12885*y**2 + y + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 635 and 158496.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 273058813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1108 + -1106. What is the fourth smallest value in 26, -0.5, -4, -6\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -470012739 or 0?\nAnswer: -470012739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(-2 + sqrt(448)*-4 + 0 + sqrt(448) + 4) + 0)**2.\nAnswer: -32288 + 768*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1764458 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021033 (base 4) in base 16?\nAnswer: 424f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/8 - (-3 - -5). Put 1\/4, 0, t, -27 in increasing order.\nAnswer: -27, 0, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-9)*(-646947)\/(-17115)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, 1, -1063, 2\/15, 86, -0.4?\nAnswer: -1063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-77)*7 - 3. Solve c = -4*v + 42 - 46 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766139 is divided by 812.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084706?\nAnswer: 2, 3, 13, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a + 260. Let s be (-2 + -2 + 4)*4\/8. List the prime factors of l(s).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-21)*531\/6 - -2. Let t be g\/(-95) + (4\/10 - 1). Let n = 27 - 15. Solve -2*y + s = t, 4*y + 0*s = -s - n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91059037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4735.\nAnswer: 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*j + 2*j + 2, -5*m = 3*j + 19. Suppose 2*h - i = 4474, h - 7*i = -j*i + 2237. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 2856 = -30*j. Suppose -4*c = t + 2, -4 = t + c - 14. What is the highest common divisor of t and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 10*d**2 - 11*d + 15. Determine n(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 11:20 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 1.5. Put 3, l, 18 in increasing order.\nAnswer: l, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**3\/3 + 3*w**2\/2 - w - 17. Let s(m) = -m**2 - 4*m + 1. Let n(i) = i - 1. Let x be n(-5). What is x*j(v) - 4*s(v)?\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -546 - -702. What is the remainder when k is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24760 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q - 20 = -50*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/(1 + -5) + 19)*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 + 2*f - 2 - 16*f**3 - 29*f**3 + 28*f**3 to the form x*f**2 + a*f + o + g*f**4 + q*f**3 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = 5*s - 138, 78 = 3*s - 3*t. Let f = s + -16. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.257 and 9.183.\nAnswer: 2.360031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {k: 3, j: 1, t: 4, c: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(72))*-6.\nAnswer: -36*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 84 = -3*c. Suppose 3*k - c - 59 = 0. Suppose -2*t + 5*t - 30 = 0. What is the remainder when k is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -733 (base 11) to base 16.\nAnswer: -373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8134 = -8*t + 7550. Let b be (-4198)\/(-22) + 12\/66. Suppose 5*y + 169 = -b. Is t at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -964.099995853 + 964.1. What is i rounded to 7 decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from wsvxvvwsx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142465202 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, m: 9}. Give prob of sequence mm.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 22*x**2 + 15*x - 15. Give j(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1090 divided by 10.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107572 is divided by 35014?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let u = 5.18 + -0.18. Let g be 0*4\/8*(-18)\/(-18). Which is the second biggest value? (a) u (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t - 14. Suppose -16*z + 28 = -23*z. Let w(m) = -6*m + 15. Let b(c) = z*w(c) - 5*k(c). Determine b(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(130) + (sqrt(130) - sqrt(130)*1))*5)\/(((sqrt(100) + -5*sqrt(100))*6 - sqrt(100))\/sqrt(10)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = -3. Which is the second biggest value? (a) 2\/3 (b) 0 (c) 11 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16789799 or -16789803?\nAnswer: -16789799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*f - 69*f + 129*f = 1494 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*w + 334 = 133555*g - 133556*g, -24 = -2*g + 4*w for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 10*z + 5*z - 5 = 0, -3*z - 41 - 60 = 11*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 1 (c) 0 (d) 3075 (e) 1\/4 (f) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 177\/(-413)*((-4)\/(-12) + -5). Factor -14\/3 - 22\/3*a + 2*a**3 - 2\/3*a**b.\nAnswer: 2*(a + 1)**2*(3*a - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1483 (base 11) to base 4\nAnswer: -131302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 15 = 19*x. Does 27\/5 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 572*k + 578. Give j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(85) - 1*sqrt(85)) - (sqrt(85) - (sqrt(85) + ((sqrt(85)*2 + sqrt(85))*1 - sqrt(85) - sqrt(85) - sqrt(85)))))\/((sqrt(160)\/sqrt(4))\/sqrt(2))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209135220 divided by 21?\nAnswer: 9958820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 94844902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -273*z - 8. Let y be l(1). Let v = -273 - y. Suppose 4*m + d = 115, -d = 4*d - 15. Calculate the greatest common divisor of v and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 2, f: 5, d: 2, c: 2, m: 5}. What is prob of sequence wwf?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9 + 131*l**2 - 154*l**2 - 15 wrt l?\nAnswer: -46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 141917 and -155.46.\nAnswer: 141761.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r**2 + r + 1. Let d be o(-2). Suppose 5*j - 4*a = d, j - 3*a = -6*a - 12. Suppose 2*s - 364 = -0*s + j*y, y + 923 = 5*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19328593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*n - 15516 = -86*n. Is 120 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by -1 - 1 - (6 + -10) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-297) - ((-168)\/(-44) + -4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 + (-4)\/(224\/(-152)). Solve j*l + l + 12 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3082788?\nAnswer: 2, 3, 19, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g + 259233 + 14655. Is 12\/18 + (g\/9)\/(-4) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 61*c**3 + 3*c**2 - 27*c - 29. Is s(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 9*j**2 - 9*j - 4. Let i be k(10). Let f(g) = g**2 + g - 1. Let a be f(2). What is the second derivative of 4*h - h + 2*h**a - i*h wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k - 52. Let r be a(11). Suppose -5 = 5*x, -r*z - 221 = -4*z - 3*x. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 10*h**2 - 18*h - 74. Determine m(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*q - 3 = 1, c - 4*q = 2. Let n = 0 + c. Find the third derivative of -n*u**2 - u**5 + 2*u**5 + u**2 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2031 - -2030.5. Let a = -0.33 + -0.07. What is the second smallest value in -2, 1.8, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/200 + 3*i**5\/20 + 13*i**4\/20 - 4*i**2 - 10*i. Factor t(q).\nAnswer: 3*q*(q + 2)*(q + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3\/3 + 76*f**2\/3 + 116*f + 156 = 0.\nAnswer: -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.25 (b) -1 (c) -929\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + -18. Is -57 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24796 in 4, 1\/4, -1, 3, -6\/7, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1369.787 + -1463.59. Let l = 7.562 + y. Let z = -86 - l. What is z rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cllzzlnnzzn. Give prob of picking 3 z and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/15776 and 73\/17418?\nAnswer: 137393184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246\/23 - 784\/69. Suppose p = 2*r + 3*r - 2, p + 2 = 4*r. Let o = -4 - -3.6. What is the nearest to w in o, 1, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 - -8) + 1704\/28. Let g = -58 + q. Which is the closest to g? (a) -10 (b) 3\/5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2959 + 2955. Let t(o) = -o**3 - 6*o**2 - 11*o - 6. What is t(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r + 14. Let p(v) be the first derivative of -v**2\/2 - 3*v - 1012. What is -6*g(b) - 28*p(b)?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33579929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*l + 381, -2*g = -l + 4*l - 286. Suppose 18*o - 14*o = l. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, g: 2, l: 5}. What is prob of sequence ll?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3\/3 - 85*i**2\/6 - 37*i\/2 + 9 = 0.\nAnswer: -9, -2, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven tenths of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 68*h - 351. What is n(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (36\/(-21))\/((-1)\/7) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 48, 55, 60, 63, 64?\n\"Answer: -b**2 + 12*b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b - 1. Let l(y) = -7*y**2 - 6*y + 2. Determine l(x) + 6*m(x).\nAnswer: -x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 - 15.9. Let i = 13.95 + c. What is i rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 56*d**3 + 34*d**2 + 34*d + 34. Let w(q) = -5*q**3 - 3*q**2 - 3*q - 3. Let a(g) = 1 + 18*g**2 - 5*g + 1 + 4. Let i be a(2). Give i*w(j) + 6*t(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*-1 - (-35344)\/32. Suppose -3*p - 6013 = 5*u, -5*u = -p - 3*u - 2008. Let t = x + p. Round t to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*2 - sqrt(27) - sqrt(27))*1)\/(5*sqrt(90)\/(sqrt(10) + (sqrt(100)\/sqrt(10) - sqrt(10)))).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + 20?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 455759041 to the nearest integer?\nAnswer: 21349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven quarters of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2336 = -6*j + 100. Calculate the greatest common factor of 42 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22167 and 91131?\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 967 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 3420?\nAnswer: 3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/3 - o**2 - 38*o + 440\/3 = 0.\nAnswer: -11, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.2154.\nAnswer: 0.8616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7863 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1378 (b) -1.6 (c) 1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t**2 + 2*t. Let q(u) = 1725 - 3*u**2 - 5161 + 2*u**2 + 1722 + 1725. Give s(q(o)).\nAnswer: -7*o**4 + 152*o**2 - 825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/4 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 - 4. Let g be m(-3). Calculate the highest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v - 3*v - 2*v + 7*v as p + d*v and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2123, -2, -4 in ascending order.\nAnswer: -2123, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 11*c**4\/24 - 7*c**3\/3 - 6*c**2. Let m = -4 + 7. Let h(q) = 4*q + m*q - 5 - 3*q. Determine 17*h(s) - 6*u(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 1. Let w(l) = 231*l - 8313. Let t be w(36). Put 0, -3, d, t in increasing order.\nAnswer: d, -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173 is divided by 1158?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = 6. Let c = 21 + w. Suppose 4*x - 8 - 8 = -5*f, 0 = -5*f - x + 19. What is the remainder when c is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 78*j**2 - 80*j + 13. Let w be r(-40). Solve -w*u - 12 = 2*a - 8*u, 4 = -3*a - 4*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -53. Suppose 2*y + n = k + 1, -5*k = -5*y - 15. Let a(d) = -7*d**2 + y + 0 + 15*d**2. Let j(q) = -2*q. Calculate j(a(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/491880 and -155\/639444?\nAnswer: 6394440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1979 - 1916. What is the least common multiple of h and 203?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 3*w**2 + 184*w + 0*w**3 - 4650 - w**3 + 4687. Find the first derivative of r(q) wrt q.\nAnswer: -6*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23263944 to the nearest integer?\nAnswer: 4823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 520 + -523. Let o(f) = -f**3 - 2*f**2 - 3*f + 3. Let q(d) = -3*d**2 - 2*d + 2. What is y*q(n) + 2*o(n)?\nAnswer: -2*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2778*i - 570*i = 4356 + 37596 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8049\/9 - 3 - (333\/27 + -11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5586692412?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 15. Let g = 3 - 7. Put g, -5, s in descending order.\nAnswer: s, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) - 2058\/84. Is -28 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94082 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 6 - 26. Suppose -8*c + r*c = -78. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2065 - 1859. Calculate the remainder when m is divided by 55.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = c - 4*s - 15, 0 = 4*c - 5*s - 39. Suppose 4*r = c*r. Sort 2, r, -2.\nAnswer: -2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2312\/(-40))\/(-17)*5\/(-1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 270 - 80. What are the prime factors of r?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3441 and -3602 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 441 = -174. Sort 1\/2, x, -1 in decreasing order.\nAnswer: 1\/2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(-3\/7)*g*g)))\/(g\/g**(-1\/3)) assuming g is positive.\nAnswer: g**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -10. Let u be 16\/(-20)*9\/18. Which is the closest to u? (a) z (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1515 and -2.\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 223712?\nAnswer: -223710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*o - 60 = 3*n + 146, 4*n - 2*o = -92 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1) + (-11)\/(66\/(-8)). Let i be 8\/(-3)*6\/4. Let z = i - -21\/5. Sort z, -4, p in descending order.\nAnswer: p, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/5)\/(1*(-12)\/60). Put 2, 0, d, -4 in descending order.\nAnswer: 2, 0, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*sqrt(135) - 2*sqrt(2160)))\/(4*(6*sqrt(720))\/sqrt(9)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 469.9234 - 470. What is a rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**8)**(-8\/5)*((z**(1\/6)\/z)\/z)**37 assuming z is positive.\nAnswer: z**(-1699\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/5, -1007\/22, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 415, 1303, 2191, 3079, 3967, 4855?\n\"Answer: 888*q - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - 2*x**3 - 75199*x**4 + 75197*x**4 - 3*x**2 - x**3 - 2 - 3*x as t*x**2 + s*x + q*x**4 + n*x**3 + i and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 65*a**2 + 13*a - 34. Suppose 0 = -6*c + 8*c - 3*s - 6, 3*c = 5*s + 9. List the prime factors of b(c).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 355, -2, 17, -4\/5, 6 in descending order.\nAnswer: 355, 17, 6, 4, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8326\/9 + -926. Which is the nearest to -0.1? (a) 2 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, 0.4, -0.333 in descending order.\nAnswer: 5, 0.4, -0.333, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h. Let u(f) = 9*f - 1. Let g(k) = -2*u(k) + 5*x(k). Determine g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 12*x + 87, -16*g - 18*g + 32*g - 78 = -26*x for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 21\/6)*-2. Let c be (-6)\/4*(-6)\/9. Is (-19)\/(t*(-1)\/c) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) -1\/8 (c) 5 (d) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -25.4. Let s = -0.6 + q. Which is the nearest to -0.1? (a) -1\/3 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/((-1)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -55*s**2 - 130*s - 16. List the prime factors of c(-5).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + h + 5. Let a be y(0). Suppose -k - a*l = -19, 0*l - 22 = -4*k - 2*l. Suppose m = -k, -5*m - 10 = p - 2*m. Solve -p*q - 2 - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3416862 divided by 2787.\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtst when four letters picked without replacement from tgstt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -3\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:08 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*w = -5*w + 4, 0 = h - 3*w - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-133)\/19 + 6351\/846 and -44\/21.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19496, 20143, 20790, 21437?\n\"Answer: 647*c + 18849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 5.499.\nAnswer: -3.2994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 33 - 8. Let c(z) = z**3 + 6*z**2 + 6*z + 7. Let x be c(b). What is the least common multiple of 17 + x + -3 + 0 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 12. Let a be ((-1056)\/(-84))\/(-11)*21\/(-2). Let f be ((210\/a)\/5)\/((-6)\/12). Calculate j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*m - 168, 37 + 129 = 2*m - u. Let g = 149 - m. What are the prime factors of g?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Let z be ((-11)\/11)\/((-1)\/19). Let f = -20 + z. Let j(v) = 12*v**3 + 2*v**2 + v - 1. Let c(b) = f*j(b) + 3*l(b). Give c(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30\/(-45)*(-261)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6672 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26919, -107649, -242189, -430533, -672675, -968609, -1318329, -1721829?\n\"Answer: w**3 - 26911*w**2 - 4*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (387\/(-430))\/(((-36)\/(-10))\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218754832?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -22*z**2 + 5*z + 14. Let i be u(-2). Suppose 2*p = 5*p - 378. Let x = p + i. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*1*sqrt(68) - (sqrt(68) + sqrt(68) + 0 + 3)) + -5 + (-2 + sqrt(68) + -1 - sqrt(68)))*3)**2.\nAnswer: 2376*sqrt(17) + 23121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.71? (a) 0 (b) 11\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.21 - -10.28?\nAnswer: -16.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-190*x**2 + 5866*x - 5866*x)*(2*x**3 - 2*x**3 + x**3) - 2*x**5 + 0*x**5 + 3*x**5.\nAnswer: -189*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.75 plus 0.161?\nAnswer: -3.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 10*k + 20. Let x = -9 + 5. What is the biggest value in -0.1, k, 0.1, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**1*o)\/o)\/(o\/o**(-2))*(o**(-2\/7)*o)**(-2\/9) assuming o is positive.\nAnswer: o**(-73\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1 - 1 - 2 + 5*s - 3. Suppose 0 = 2*h - 0*y - 4*y - 24, 4*h + 2*y + 2 = 0. Let x be z(h). Calculate the greatest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-24) + 55\/40*411 + 2. Calculate the highest common factor of o and 1296.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (11 - 34 - 4).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbxhxhnhcnhn. What is prob of sequence nh?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 247 = -4. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1464)\/20)\/(10\/(-25)). Let h = -69 + v. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 10*d**2 + d. Let f be r(10). Suppose 0 = -16*l + 14*l + f. Solve -k = -2 + l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:12 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {a: 2, p: 2, o: 2, t: 4, j: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (776\/6)\/(11 - 16655*(-11)\/(-16665))?\nAnswer: 2, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 0.2. Let g = 1 - 1. Let n = 0.3 - 1.3. What is the nearest to g in n, c, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24356064 divided by -24.\nAnswer: -1014836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 divided by 14?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 + 0*r + 7 + 8*r**2 - r**2 + 5*r. Let x(z) = z**2 + 2*z + 3. What is 2*g(f) - 5*x(f)?\nAnswer: f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 17, w: 2}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39485068 - 12*v**3 - 39485068.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -312*b**3 + 88*b**2.\nAnswer: -1872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 = 0, -3*p + 3*v = 2*p - 237. Let t be 7024\/18 + (-10)\/p. Is t\/36 - 2\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 64, 1\/6, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6717602um?\nAnswer: 671.7602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27464, 29856, 32248?\n\"Answer: 2392*n + 25072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25010, 24043, 23070, 22091?\nAnswer: 21106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(255)*-1)\/sqrt(5))\/(5*sqrt(300)) + -1).\nAnswer: -4 - 2*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3101033 to the power of 1\/2, to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - j = 24, -l + 0*l + 3*j = -16. Let u be (-1)\/4 - (-34)\/8. Suppose -p + 6*p + 2*s = u, s = 4*p - 11. Solve p = 4*o - o + l*h, 3*o = -5*h + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 36*h - 14 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117653\/7 + -16772. Factor -972\/7*w**2 - m*w + 192\/7*w**4 - 1200\/7*w**3 - 3.\nAnswer: 3*(w - 7)*(4*w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*h = 97*h - 354*h + 9774 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, -8, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 + 208. What is the nearest to -3.7 in h, -0.4, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:49 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - j**2)*(-4 - j + 4) + (3*j - j + 0*j)*(2*j**2 + 1 - 1).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 13, m: 5}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2904 + 1725. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-129)\/(-301))\/(1\/35)*34\/(-85).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 218197, 218320, 218443, 218566, 218689?\n\"Answer: 123*r + 218074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 1. Let s(f) = -4*f - 1. Let g(j) = 5*o(j) - s(j). Suppose 0 = 352*w - 341*w + 616. Let r be 7 + 14\/(w\/12). Determine g(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 1, w: 17}. What is prob of sequence fo?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2 (c) 2\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46)\/(-6)*36\/(-12). Suppose -2*z + 12 + 12 = 4*t, 4*t = -z + 12. What is the remainder when (-2 - -1)*1 - a is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1829 and -419.\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((18\/(-4))\/(-3))\/((-4)\/40). Let f = z - -19. Calculate the highest common factor of 24 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**2. Let q(y) be the third derivative of -1\/60*y**5 + 0*y + 0 + 0*y**3 + 0*y**4 - 3*y**2. Determine q(s(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Let i = 1 + -0.8. Which is the third smallest value? (a) i (b) -6\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 10 = -534*m + 538*m, 3*m - 5*s = 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 720888342 or 720888343?\nAnswer: 720888343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3619 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(-118)*3*(-1)\/(-2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/6)\/((736\/240)\/(-23)). Let b = -15 - -34. Solve -14*y + b*y = o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 + -1976686635036.\nAnswer: -1976686635037.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23256 + 21981.9. Let u = -1207 - c. Let k = u - 67. Is k <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*z**2 + 63150*z - 72336917 wrt z.\nAnswer: 18*z + 63150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 76\/5 of a century?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 2. Let w = s + 4. Factor 3\/2 - 6*f - 15\/2*f**w.\nAnswer: -3*(f + 1)*(5*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 16 + 136 = 0. Let j(h) = 4*h - 1. Let s be j(1). Suppose -159 = -3*c - s*g, -4*g - g + 94 = 2*c. What is the remainder when c is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 + 129 = -49*i + 19. Put -357, -0.4, i, -4 in descending order.\nAnswer: -0.4, -4, i, -357","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -8 - -3) + (-1100)\/(-100).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*p + 36 = 0, -4*p - 1 + 21 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-0.6.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 2*m - 82 + 27*m + 31 + 22.\nAnswer: 29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 63\/945*(-12)\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20010212010 (base 4) in base 8?\nAnswer: -10044604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/5 - (-16)\/(-40). Suppose -y*w - 81 + 273 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -4. Let r be s + 0 - (1 - 5). Suppose 33*t + 42 = 36*t. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 875667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3892068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**3*x + 4*v**2*x**2 - 329*v*x**2 + 618*x**2 wrt v.\nAnswer: 3*v**2*x + 8*v*x**2 - 329*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17460900 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59.2 + -1.8. Let a = 3.121 - -60.879. Let v = f + a. What is the closest to 0 in -0.5, -22, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 12*(4 - (-44)\/(-12)). Put d, -4, 2 in decreasing order.\nAnswer: d, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l + 1 + 180*l**2 + 202*l**2 - 383*l**2. Suppose -60 = -2*f - 5*k, -2*k = 3*f - 0*k - 90. Let m be 8\/12*f\/4. What is w(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1017 or -1059?\nAnswer: -1017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(-5)\/(15\/(-2)). Suppose -t*o = -2*o + 12, 3*p + 5*o = -93. Let x = -15 - p. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + d + 12, -2*n - 8 = 35*d - 34*d. Let w(z) = -9*z**3 + 4*z**2 + 7*z. Let p(v) = -19*v**3 + 9*v**2 + 15*v. Give n*p(m) + 9*w(m).\nAnswer: -5*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.19 - 0.19. Let n = j - 12. Let a = 2.9912 + n. What is a rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2. Let h(a) = 0*a**2 - 4*a**2 - 10*a**2 + 2*a**2. Determine l(h(w)).\nAnswer: -288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1098 - 16.2116856383.\nAnswer: 1081.7883143617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**3\/6 + 9*s**2\/2 - 56*s. Give m(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1410)\/(-25))\/(3\/15). Suppose -d = -4*m - 2*v, -2*v = 5*m + 3*v - 355. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3787*g - 1894*g - 1894*g - 39.\nAnswer: -g - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 5*v**2 - 6*v + 5. Let z be t(-6). Suppose 6 = -2*q - 2*w, -2*q - z - 4 = 3*w. Let h be 4\/(-22) + (0 - q). Sort -2, h, -0.2 in ascending order.\nAnswer: -2, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001111001001 - -11000?\nAnswer: -110001110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14425\/9 - 7\/7. Let n = u - 13550\/9. Let s = n + -96. Which is the closest to 0.2? (a) s (b) 0.5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1381 * -35159.\nAnswer: -48554579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 263827.\nAnswer: 263827.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 1652*c + 430*c - 4 + 5 + 99*c**2 wrt c.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j, 9*j = -3*r + 4*j + 6. Suppose -r*l - 1 = 3*i, -l + i = 4*i - 1. Let q = 2 + -1. Which is the nearest to q? (a) -0.3 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w**2 - w. Let u(n) = -29*n**4 - 3*n**3 + 3*n**2 + 3*n + 205. Let m(p) = u(p) + 3*y(p). Differentiate m(r) wrt r.\nAnswer: -116*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -538*l**3 - 6*l**2 + 3. Let y(a) = -a**3 + 2*a**2 - 1. What is 3*y(c) + z(c)?\nAnswer: -541*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(60\/(-14) + 4). Let d = 41 - f. Is d > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a = -52*a + 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 4*z**2 + 8*z + 4. What is the remainder when c(-7) is divided by (-222)\/(-12 - -6) + -12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2 - ((-3 - 1) + 4). Suppose 2*z - 8 = y, -35 = m - 5*z - 170. Is 31 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22292 + 22670. What is the least common multiple of 966 and o?\nAnswer: 8694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 46487\/6379?\nAnswer: 46487\/6379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023148961 to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/10 - (-428)\/(-2340). Let f = -0.778 - -0.978. Sort k, f, -0.1 in descending order.\nAnswer: f, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 39 = -27. Suppose p = 3*n + 17, -4*p - 6 = 4*n + x. What is the units digit of (-136)\/(-14) - n\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b (base 13) to base 2.\nAnswer: 1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*q - 51*q - 135 = 0. Suppose 4*p = 5*l - 103, q*p - 4*l = 46*p + 31. Are -7 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1592963, 3186426, 4779889, 6373352, 7966815?\n\"Answer: 1593463*p - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 2\/(-1) - -2. Suppose -w*k = 2*z + 11, -z + 4*z - 5*k - 12 = 0. Let u(v) = 4*v**2 + 1. What is the remainder when 8 is divided by u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:18 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1249\/42 + 175\/6. Put 1\/3, -5, h, -6 in increasing order.\nAnswer: -6, -5, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - 41. Let s = 90 - p. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13036, -52090, -117186, -208318, -325480, -468666, -637870, -833086?\n\"Answer: u**3 - 13027*u**2 + 20*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 10. Let a be l(3). Suppose x + 5 - a = 0. Let k = -3 + 2.8. What is the closest to k in 0.1, x, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2681 - 2680.9. Which is the second smallest value? (a) 30 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2426640858 to the power of 1\/2, to the nearest integer?\nAnswer: 49261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 54228310 to the nearest 1000000.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17*n + 43. Let r(b) = -5*b + 16. Determine 6*k(a) - 17*r(a).\nAnswer: -17*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*w - 48, 0 = -0*z - z - 3*w + 12. Let j be ((-9)\/(27\/z) + -1)*-1. Let u = 0.05 - 5.05. Sort u, 2, j.\nAnswer: u, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 564 + -223. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 281848?\nAnswer: 845544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*j**2*q**4 - 5*j**2*q + 2*j**2 - 3*j*q - q**4 wrt q.\nAnswer: 312*j**2*q**2 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 25. Sort p, -5, 4 in increasing order.\nAnswer: -5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 3*d. Suppose -l - 2*l - 2*v + 40 = 0, -d*v = -3*l + 28. Calculate the remainder when 34 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 929*y**4 + 3*y**3 + 45450?\nAnswer: 3716*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -672 + 1279. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 3:11 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.29 and 14.9.\nAnswer: -4.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426623 divided by -5?\nAnswer: -1426623\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(-1\/9)*y*y)**18\/(y**(-4\/3)*y**(-20)))**(-2\/35) assuming y is positive.\nAnswer: y**(-656\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-28) + ((-161)\/532)\/(-1)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186718119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j - 3. Let n(f) = 10*f - 4. Calculate 5*n(u) - 6*y(u).\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*i + 5*g, 13 = -5*i + 4*g + 1. Is i at most -4\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -67 and 26.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3635 + 3635 + 2410*n to v*n + l and give v.\nAnswer: 2410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -575, -1140, -1705, -2270, -2835?\n\"Answer: -565*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -875*z**3 - 2633*z**2 + 3476*z + 32.\nAnswer: -(z - 1)*(z + 4)*(875*z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-24)\/(-9))*-16. Suppose 5*o - m*o + 2926 = 0. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4 + 4)*(-2 + 2*z + 2) - 618 - 78*z**2 + 618.\nAnswer: -76*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 27*f**2 - 59*f + 56. Suppose 0 = -a + 11 + 18. Let b be z(a). Solve -5*c = -b + 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjuushu. Give prob of picking 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q\/(q**(2\/9)*q)*q)*q*q)\/q))\/q)**(5\/3)*q*q**(-3\/5)\/q*q*q\/q**(-1)*((q*q*q**(2\/5)*q)**49)**(-2) assuming q is positive.\nAnswer: q**(-44933\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20832976 is divided by 84344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9834680 divided by 1060\nAnswer: -9278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*q - 6 + 26, -5*q + z = 22. Let b(n) = -n**3 - 11*n**2 - 40*n - 52. Let s be b(-5). What is the second biggest value in 1, s, q, -23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19336*z + 20384*z = -4192 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2773986 and -3\/23.\nAnswer: 63801678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(44)\/sqrt(4)) + sqrt(17) + sqrt(68)\/sqrt(4)*5 - (((sqrt(187)*2)\/sqrt(11) - -6*sqrt(17)*-1)**2 + 4).\nAnswer: -276 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125148347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 60980 times -0.06\nAnswer: -3658.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1615940679 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 6*u - 4. Let c be g(5). Suppose -3*a = a - c. Calculate the lowest common multiple of (-15)\/3 + 1 + (-198)\/(-11) and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9898070 divided by 2\nAnswer: 4949035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -4447?\nAnswer: -4446.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22423 - 22375. Which is the second biggest value? (a) r (b) 0.07 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48364000 to the nearest one million.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/34992 and -101\/288.\nAnswer: 69984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84\/11 - 325\/44. Which is the closest to 5? (a) t (b) -2\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1156725, -1156706, -1156687, -1156668, -1156649?\nAnswer: -1156630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*i**2 + 23*i + 22*i - 36*i**3 - 33*i.\nAnswer: -36*i**3 + 192*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10120077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + -1*sqrt(612) + (sqrt(612) - sqrt(612)*1*4) + -2)**2.\nAnswer: 240*sqrt(17) + 9818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 147\/2*g - 3\/2*g**5 + 126*g**2 - 18*g**4 - 33*g**3.\nAnswer: -3*g*(g - 1)**2*(g + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b**4\/7 + 9864*b**3\/7 + 190179*b**2 - 15243738*b\/7 - 6309864\/7 = 0. What is b?\nAnswer: -124, -2\/5, 11, 771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415090722?\nAnswer: 2, 3, 69181787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c - 60 = 3*m, -c - 88 = -4*m. Let v = 77 + c. Let d = 2 + -1. Solve 5*x + 10 = 0, -3*x - d - 15 = v*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*o + 8*o. Suppose -o*n + 25 = 3. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - (-2 + 6))\/((-1)\/(-2)). Let t(z) = z**3 + 4*z**2 - 7*z - 5. Suppose 0 = 3*k + 15. Let s be t(k). Calculate the highest common divisor of a and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1066*g - 653. Is d(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + i**2 - 3*i - 4. What is n(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -504874100 rounded to the nearest one hundred thousand?\nAnswer: -504900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5 = -5*o, -23*u + 2 = -2*o - 28*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Let m = -270.1 - -270. Let i = 1.4 - 0.7. Which is the third biggest value? (a) i (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 557610, 4460752, 15054976, 35685822, 69698830?\n\"Answer: 557590*d**3 + d**2 + 9*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*l = -4406*l + 258720 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -2 (c) 0.5 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29685 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1876 + 5024. Let l = -19\/358223 + -20317333549\/6448014. Let h = d + l. What is the common denominator of h and -53\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t. Let a = -17 + 6. Let f(q) = q + 11. Let i be f(a). Suppose -2*y - 3*y + 5 = i. Calculate o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -379, -983, -1587, -2191, -2795?\n\"Answer: -604*z + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 164 = 476. What is the remainder when 178 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**4\/12 + 3*a**3\/2 + 2*a**2. Let f(k) be the first derivative of -3*k**2\/2 + 14*k + 2. What is -5*f(x) + 8*g(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (242 - 28*z - 242)*(3 - 1 - 1).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3601420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47096394607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 27. Suppose i - 2*y + y + 3 = 0, -4*i - 2*y = -d. Suppose r - 68 = o, i*r + 6*o - 2*o = 142. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 56*b**2 - 1. Suppose 3 = -u - 2*w, -4*u = -5*u - 4*w - 7. What is the units digit of t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436763478 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.1, 36, 5, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93815993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*k - 2 = -7, 9493*s - 9496*s + 0*k - 8*k = 10 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 73734 divided by -4\nAnswer: -36867\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 74*u - 6463. Calculate y(90).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {e: 4, o: 1, q: 3, j: 8, h: 2, n: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 13. Let r be x(-10). Is 8 a factor of ((-3)\/2)\/(r\/(-98))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxy when three letters picked without replacement from {o: 5, x: 2, u: 11, n: 1, y: 1}.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 - (-2 + 5 + -2). Suppose -q = -4*z - 1. Let k = 5 - z. Solve 3*w + 20 = -2*w, -n = k*w + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.911 and -231.\nAnswer: -227.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.98 + 0.02. Let v(i) = -i**2 + 13*i + 5. Suppose 4*m - 65 = -m. Let n be v(m). Put n, 3\/7, h in ascending order.\nAnswer: 3\/7, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298668 = 342*q - 330*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:00 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122866103\/430 - 285735. Calculate the common denominator of f and -131\/6.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5079.47 to the nearest one hundred.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.79 and 4.\nAnswer: -3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/102*56\/(-98)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33343863\/2 or -16671932?\nAnswer: -33343863\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 150 (b) 9 (c) 1 (d) -7699\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1646\/53 - -764539\/24592. What is the common denominator of f and -73\/58?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*s, 5*w = -4*s + 47 - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/5 (b) 11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/10 - 0)*-5. Let x = -574 - -454. What are the prime factors of (-3)\/z*x\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 13*x**2 + 17*x + 3. What are the prime factors of j(13)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -797, -801, -805, -809?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 19071?\nAnswer: 19071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -962, 3 in decreasing order.\nAnswer: 3, -15, -962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29071*s**2 - 11 - 58423*s**2 + 29345*s**2.\nAnswer: -7*s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 2. Let u(d) = -5543*d**2. What is u(g(j))?\nAnswer: -49887*j**2 + 66516*j - 22172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1147233 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let n(o) be the second derivative of 0*o**3 + 3\/8*o**4 + 14*o + 0 - 6*o**2. Let r(t) be the first derivative of n(t). Determine r(d(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(3)*-3*6)\/(sqrt(24)\/((sqrt(72)\/sqrt(4))\/sqrt(6))).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7902425 is divided by 233?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 15*l - 56. Determine y(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z - 7 + 17 - 10. Let l(u) = 4*u**2. Determine f(l(c)).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 392 + 0*r**2 + 400 + 4*r**2 - 1160 + 398 as t*r + c + f*r**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 s when three letters picked without replacement from cfqqfffsccqqqfcqfq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-8))\/((-279)\/(-310)). Let k = 0.3 + -0.2. What is the closest to 0.2 in u, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2371383 is divided by 19598?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 171*a**3 - 17*a**2 + 86*a - 429. What is the hundreds digit of f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/9, -9, -0.4, -2 in decreasing order.\nAnswer: -0.4, -5\/9, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5963*j*m**3 + 7*j*m - 220451*j + 8*m wrt m?\nAnswer: -17889*j*m**2 + 7*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert ae83 (base 15) to base 10.\nAnswer: 37023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-90) + 2\/(-10))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:12 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -837 divided by -3\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*j + 792*j = 21564 + 5558 + 8916 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(-60)\/(-40)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7663 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/17*r**4 + 58\/17*r - 10\/17*r**3 + 84\/17 - 38\/17*r**2 = 0. What is r?\nAnswer: -3, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 1. Let l be n(3). Suppose -6 = l*q - 7*q. What is the lowest common multiple of 21\/2 - (-4)\/(-8) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -0.3, 24, -83\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -103, -2\/7, 2\/9, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/40*(-648996)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00362808 to 5 dps.\nAnswer: 0.00363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.17, -7, -0.08, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04723581 - 4.95276379. Let u = 10 + -5. Let m = v + u. Round m to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/6)\/((-2)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24881 or -124408\/5?\nAnswer: -124408\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 202 - 454. Let a be (-128)\/k + (-6)\/27. What is the nearest to a in -3, -1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12072, -39562, -67054, -94548, -122044?\n\"Answer: -x**2 - 27487*x + 15416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**4\/12 - 5*w**3\/6 - w**2\/2 + 4*w. Let h be b(-4). What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 3*m**2 + 9139*m + 45740. What is v(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.420166 millennia?\nAnswer: 14.20166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558145518?\nAnswer: 2, 3, 7, 37, 359167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105421.2705ns to weeks.\nAnswer: 0.00000000017430765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62081675993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 103, 105, 109, 115, 123?\n\"Answer: d**2 - d + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - -9. Let u be (1\/(-2))\/((-1)\/6). Suppose 0 = -u*o - 12 + 36. Calculate the remainder when k is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 333.75468 to 0 dps.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 863010521947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**8\/336 + b**5\/20 + b**2\/2 + 4. Let x(s) be the second derivative of g(s). Find the third derivative of x(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.97 - -7. Let g = 0.58 - p. Let r = g - 0.05. What is the smallest value in r, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 8:41 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143 + 32720*n**2 - 884*n + 311235*n**2 - 143 + 884*n + (-4*n + 7*n - 2*n)*(2*n + n - 2*n) to w*n + y*n**2 + t and give y.\nAnswer: 343956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54879370 and 76831118?\nAnswer: 384155590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36502 (base 8) to base 13.\nAnswer: -71a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (3\/3 - -3). Let w be ((-6)\/(-9))\/(b\/(-126)). Let n = -30 - w. Calculate the greatest common divisor of 30 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -774, -3010, -6742, -11976, -18718, -26974?\nAnswer: -36750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**3 - 2375*b**2 + 432*b + 14251. Calculate j(-396).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67792949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -5*c. Suppose 3*b - 3 = c. Find the second derivative of -b*w + 3*w - w**5 + w wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from vayxsvq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19625 is divided by 3262?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8784 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p - 17. Let k be f(7). Suppose 0 = 3*n + 15, -n = -2*r - 0 - 3. Let v be (r\/(-3))\/((-2)\/(-18)). What is the greatest common divisor of v and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 822?\nAnswer: 46032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, r: 4}. Give prob of sequence ii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-210*h - 111*h + 218*h)*(-18*h + 18*h - 10*h**2).\nAnswer: 1030*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 0*o + 0*o - 6*o. Let j(d) = 34*d + 320. Let g(l) = -98*l - 896. Let w(v) = -5*g(v) - 14*j(v). Give f(w(z)).\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(114)\/sqrt(2))\/sqrt(3) - (3*(sqrt(171))**2 + sqrt(19))).\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2365 - -2382) + (1 - (0 - 9) - -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.45294 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let u(z) = 3*z + 6. Let v(m) = -3*m - 5. Let a(r) = 5*u(r) + 6*v(r). Give 5*a(s) + 8*w(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -160 - h + 75 + 70. Let m be j(-19). Solve d - 3*r + 9 = 0, -m*d - 4*r - 2 = r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 372727 and 12.\nAnswer: 372739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108091093147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 + 85. Let z = w + -193. Sort -1, 13\/2, 3\/8, z in decreasing order.\nAnswer: 13\/2, 3\/8, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35112035 (base 7) to base 6\nAnswer: -145553402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3.5. Let k = -13357 - -13360. Which is the fourth smallest value? (a) k (b) j (c) -5 (d) -1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Which is the nearest to -1? (a) r (b) -2\/19 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 65. Let q = -12.4 - v. Which is the second biggest value? (a) 2\/25 (b) -0.5 (c) -1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1\/6 (b) -0.3 (c) -1 (d) 5 (e) 10888\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1298*d - 1295*d + 5*j + 4 = 0, 6 = -2*d - 5*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750796425.\nAnswer: 3, 5, 1112291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*(sqrt(68) + sqrt(68)*-2))\/(6*sqrt(484)*-2 - sqrt(484)).\nAnswer: 25*sqrt(17)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1029*u**2 - 8*u**3 + 1988*u**2 - 3849*u**2 - 2*u)*(-2*u + 0*u + 3*u).\nAnswer: -8*u**4 - 832*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 2:48 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 5*x**2 - 3*x. Let l be v(4). Suppose t = -2*t + 15. What is w in -8\/5*w**2 + 0*w + 26\/5*w**l + 24\/5*w**3 - 42\/5*w**t + 0 = 0?\nAnswer: -2\/3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c + 0*c)*(0*c**3 - c**3 + 3*c**3) + 3 - 2*c**4 - 3 + 29*c**3 - 29*c**3 - c**4.\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-124)\/155)\/(1\/(-30)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = t - 2, 3*j = 5*t - 12. Suppose -2*l = -t*l - 12. Let a = 20 + l. What is the lowest common multiple of a and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 11*a**2 + 7*a - 72. Let l be r(11). Suppose -3*v = l*j - 362, -67 + 327 = 4*j - 5*v. Are j and 70 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92281 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 69547*d + 3 + 58875*d)*((1 + 0 - 2)*(1 - 2 - 1) - 3 + 2 + 3 + 3 - 3 + 3).\nAnswer: -74704*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/1575 and -22\/175.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 154*h + 2 + 35*h. Let k be x(6). Suppose 3*o + 2*o = k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1331)*-1.\nAnswer: -11*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = 4*c, -232*c + 3*h + 18 = -229*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113176*f**5 + 2*f**2 - 171353*f wrt f.\nAnswer: 6790560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 14. Let j(g) = g + 13. Let n(x) = 6*h(x) + 7*j(x). Let v be n(-8). Suppose v - 8 = 3*z. Calculate the remainder when 23 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, m: 2, s: 1}. Give prob of sequence smam.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 2) + 16 + 3 - -2. Let w = -26 + v. Let g be (68\/(-10))\/(w\/525). Round g to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -130.\nAnswer: -130, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 34*z - 1087. Give s(33).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-57)\/(-18)) + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-690))\/((-63)\/(-315)*(-20)\/12)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1580*j - 75 = 10*i - 1575*j, 4*i = -5*j - 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzziep. What is prob of sequence ie?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**7\/105 + 91*y**6\/30 + 367*y**5\/30 + 46*y**4\/3 + 4469*y**2. Factor o(x).\nAnswer: -2*x*(x - 184)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2884664, -2884661, -2884644, -2884607, -2884544?\nAnswer: -2884449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 47 (b) 28 (c) 0 (d) -4 (e) 4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -572 times 3?\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-18) - 453\/78?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1\/3 (c) -290\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1091708691 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*g*k*y + 2*c*g*k + c*g + 27*c*k*y + 124*g*y - 8*g - 3*k*y wrt k?\nAnswer: c*g*y + 2*c*g + 27*c*y - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c = 12. Suppose -c*u + 389 = 4*i - 155, 2*i + 5*u = 266. Suppose -5*j + 22 = -i. Calculate the greatest common divisor of 80 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 3\/2, 1\/4, -1\/17, -1780\/13?\nAnswer: -1780\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.99 - -0.29. Let w = v + 1.9. Which is smaller: 7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25795973?\nAnswer: 7, 547, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 351.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127877, -255754, -383631?\nAnswer: -511508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 934929 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63063 is divided by 4841?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11506 + -14496. Is 0.3 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3463 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7794*g**2 + 7796*g**2 - 15592*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -21, 1, -1 in ascending order.\nAnswer: -21, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6993 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d - 20 = -37*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -42. Let z = -1179 - -1187. Let w(m) = 17*m + 11. Let s(g) = 11*g + 7. Determine x*w(u) + z*s(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 5*z**2 - 2*z + 1. Calculate o(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(-7*c**3 + 3*c**3 - 2*c**3) - c**3 + 3*c**3 + c**3 to z + j*c**3 + h*c + b*c**2 and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 46, 51, 58, 67?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 3*q**2 + 0*q**2)*(2*q**2 - 3 + 3) + (0*q**3 + q**3 + 0*q**3)*(-4 + 4 - 2*q) + 2*q**4 - 5*q**4 + 2*q**4.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-2 - -2) + -2). Suppose z = -0*x + 3*x - 6. Let -4 - x + t**3 + 3*t + 7 + 3*t**2 = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + d = -d + 263, 2*z = 4*d + 154. Suppose -6*m = -m + 10. Let h be 51*(-1)\/m*86\/129. Calculate the highest common divisor of h and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*r + 20 = 0. Is -3 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53.2 - 53. Which is the closest to -2\/5? (a) h (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from xjxxxvjxxjjjxxj?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 16*y - 18*y. Solve -y = -4*w - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2. Let h = -8 + 11. Suppose -2*o = -h - 1. Let s(t) = 2*t**2 + t**o - 4*t**2. Give s(u(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)*f**6*f**12*f**(-10))**(5\/2) assuming f is positive.\nAnswer: f**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z + 53. Let a(f) = f - 1. Let i(k) = -2*a(k) - h(k). Suppose 5*x = 5*l + 120, 19 = -2*l + 5. Let m be i(x). Solve -6*o + o + 15 = m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -112, 83, -3 in decreasing order.\nAnswer: 83, 5, 0, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143.7 + -143.5. Which is smaller: x or 29.6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 472 = 514 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7 + 101*o + o**2 - 199*o + 98*o. Let b(u) = -u**2 - 5*u + 31. Let m be b(-9). Calculate j(m).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/37)\/h**(-16))\/((h*h**(-9\/5))\/(h*h**(-1\/6))) assuming h is positive.\nAnswer: h**(19513\/1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30787 is divided by 1763.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 210?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 9321\nAnswer: 1\/9321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5904058 bigger than 5904108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 329 + 2469. Let y = -6437\/12 - z. Let w = -382 - -7577\/20. What is the common denominator of w and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 4*m**2 - 2*m - 2. Let s be l(4). Let p be s\/(-4)*(-2)\/(-1). Suppose p*n - 140 = 25. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 - 679. Let q = k - -576. Sort 5, 4, q, 0.\nAnswer: q, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -498471*j**6 + 351*j**3 - 41284208*j**2 wrt j?\nAnswer: -59816520*j**3 + 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 11*q**2 - 5*q - 19. Let l be d(6). Suppose -3*s + l = r - 32, -5*s + 285 = -r. Calculate the remainder when 279 is divided by s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012579 to five decimal places.\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-188 - -177) + (2 - (2 - -5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2228677 and -7\/187?\nAnswer: 37887509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 132*o**2 - 259*o + 130. Give b(-130).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30986 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/76*(-744)\/155)\/3.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {s: 3, y: 1, n: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 14*a**2 - 23*a - 11. Let p be (12\/11)\/(8\/44). Let l(v) = 5*v**2 - 8*v - 4. What is p*u(w) - 17*l(w)?\nAnswer: -w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (930\/(-75) - -13)\/(-7 + 252\/20). Let t be (2 - 0)*(-1 + 0). Put -5, m, t in decreasing order.\nAnswer: m, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 0.08?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/13798 and -101\/6.\nAnswer: 41394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*k - 4*k + 4*w, 3*w = k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 4. Let v be (o\/2)\/(1\/(-2)). Let f be (9*(-2)\/(-12))\/(-3)*0. Put -2, f, v in ascending order.\nAnswer: -2, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175257726?\nAnswer: 2, 3, 7, 17, 389, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001001 - 1?\nAnswer: 10011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16822, -16823, -16824?\nAnswer: -16825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 7:39 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5, 2*v + 5*z = 25 - 2. Is 44 a factor of (-51756)\/(-84) + v\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1382108*z**2 + 691065*z**2 + 691048*z**2 - 743*z + 743*z.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102*f**3 - 2*f - 2056 wrt f.\nAnswer: 306*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/2)*p*p**(1\/8)*p**(2\/11)*p*p*p**(-7))\/(p**(-1\/3)\/p*p**(-2\/7)*p*(p**2\/p)**(-30)) assuming p is positive.\nAnswer: p**(52531\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 18 = 10. What are the prime factors of i\/1 - -15*666\/27?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11856115?\nAnswer: 5, 2371223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159 + -157. Solve 9 = -2*p - 3*x, -x - 13 = 2*p + c*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1770 + 1774. Solve -k*p = 3 + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (46 - 43) + (7 - 21).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*w**4 + 5*w**4 + 16*w**4 + (-w + w - 2*w**2)*(5 + w**2 - 5).\nAnswer: 77*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 106? (a) 7\/4 (b) -0.1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 6*i**2 - 9*i - 8. Suppose -4*j - j - 30 = 0. Is 23 a factor of u(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 264330298 to the nearest integer?\nAnswer: 16258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2151 is divided by 129?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2. Let f(d) = -d - 45. Let p(r) = 1188*r - 225. Let o(c) = -5*f(c) + p(c). What is k(o(t))?\nAnswer: -1423249*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = v + 4, 5*v - 2*a + 16 = -6*a. Let n be (-304)\/(-14) + (-6)\/(-21). Let d be 4\/n + 6\/(-33). Solve d = -c - v - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -0.2 (b) 6 (c) -3\/5 (d) 45 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180763744 divided by 4203808.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -320032 (base 5) to base 3\nAnswer: -112121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7471410, 14942821, 22414232, 29885643, 37357054?\n\"Answer: 7471411*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10728 is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*v + 14, -5*l + v + 86 = 2*v. Let m = l - 12. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42796*0.09\nAnswer: -3851.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 + 12*z**2 + z**2 + 5*z**2.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -s + 3*z, 4*s + 3*z - 1 = 26. Calculate the remainder when s is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {l: 2, g: 2, j: 4, z: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033799 rounded to 3 decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55009548 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 30. Let n = -75 + v. Calculate the lowest common multiple of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 7*p - 4. Let v(c) = -c**2 + 3*c - 4. Let d be v(3). Let m be r(d). Solve -3*o - 10 = -m*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6947 - 6946.9. Sort 0.2, -0.3, i, 2, 7\/8 in ascending order.\nAnswer: -0.3, i, 0.2, 7\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13722 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:16 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 3*r**2 + r**2)*(-r**2 - 2*r**2 + 2*r**2) - 2 + 3235*r**3 - 2 + 5*r**4 - 3231*r**3.\nAnswer: 3*r**4 + 4*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((6*1\/(-8))\/(969\/532*7))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11228543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 5 + -16 + -5 + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3040, 833, -1374, -3581, -5788, -7995?\n\"Answer: -2207*o + 5247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652045 is divided by 94.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 3*i**5\/40 - i**3\/3 - i**2. Let r(m) be the first derivative of s(m). Let y(q) = -q. Give y(r(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - q - 731, r - 5*q = -7*q + 144. What are the prime factors of r?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {w: 3, r: 5, x: 2, h: 6, l: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 985163 + -2386785. Let n = -2580973 + 1639351. Let w = n - i. Round w to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5639 is divided by 474?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*(8 + ((-90)\/(-7))\/(528\/924))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2\/5, 14, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2975920 divided by 4?\nAnswer: 743980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 885.670008 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7720 and -2.\nAnswer: -7722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -1, 29, 91, 197, 359?\n\"Answer: 2*z**3 - 2*z**2 + 2*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13503*1\/4 - (-15)\/(-20). Let o = k - 5117. What is o rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 27 - 3 = 0. Calculate the least common multiple of 10 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -16. Let i be (2 + -1)\/(3\/450). Let x be 10000*-1*i*p. What is x rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 5268.\nAnswer: -1\/1756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + w**2 + 5*w**2 - 5*w**2. List the prime factors of f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4648.3 + 4648.500012. Let b = o + -0.2. What is b rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34333015019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 709735?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 3. Let h be q(3). Suppose -i + 7 = 4. Suppose h = -i*d + 5*d - 232. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b. Let i(v) be the third derivative of -v**5\/20 - v**4\/4 - v**2 + 2*v. What is f(i(t))?\nAnswer: -9*t**2 - 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 2 g when four letters picked without replacement from {h: 10, e: 3, g: 2, z: 4}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12592.7907 hours to weeks.\nAnswer: 74.9570875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 966680 divided by -48334\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 532? (a) -1\/6 (b) 11 (c) 6 (d) 1\/2 (e) -23\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 5*u + 3. Let v be w(5). What is the derivative of 6 + v*x**4 + 7*x - 7*x wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 25 = -6*i. Suppose t = -i*c - t + 210, 4*c = 2*t + 168. What is the greatest common factor of c and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 2*k**2 + 0*k**2)*(-153*k + 240*k - 165*k).\nAnswer: -78*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -4.2. Let x = -6723 - -6722. What is the closest to x in 1, 2\/7, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2127 + -75?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17369 or -181?\nAnswer: -17369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 0, 0.092, 3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42861, 1, -1, -4, 10, 0 in decreasing order.\nAnswer: 10, 1, 0, -1, -4, -42861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((9\/(-3))\/3). Let j be (18\/8)\/(18\/(-384)*-2). Suppose -9*b + 48 + j = d. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -13. Suppose 3*w + 12 = v*w. Solve 4*l + 3 - w = s, 3*s - 3 = -3*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -179, -1077.4, 2\/5?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -110 and 594304.\nAnswer: 594194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*290\/(-116)*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 3*m + 5. Let h be u(4). Let s = -77 - -536\/7. Does s = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*i - 4737 = 1903 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1585619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(264) + sqrt(264)*-2 - sqrt(264))\/sqrt(8))\/(sqrt(66)\/(sqrt(12)\/sqrt(2))) + 0)*2.\nAnswer: -4*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 179*a**2 + 54*a + 5. Let z be s(85). Round z to the nearest 1000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -2. Let x = 5 - v. What is the nearest to -2 in 2\/9, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3465404 or 3465405?\nAnswer: 3465404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28786059?\nAnswer: 3, 41, 181, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-35)\/105)\/(38\/(-6)*-1))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 30 = 2*d - 34, -56 = 2*v + 5*d. Let y be (-13)\/52 + 1 + v\/(-8). Solve -2*f - 3*o = -y, -4*f = -5*o + 19 + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 491*u**2 - 1584*u**2 - 2*u + 637*u**2 + (5*u - 5*u + 2*u**2)*(4 - 2 + 0) + 14*u**2 - 6*u**2 + u**2 as w*u + s + a*u**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/(14\/63). Put -4, 1, j in increasing order.\nAnswer: -4, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0, 2\/415, -0.08, 0.29, -0.4, 2\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6868017 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2405241 * -0.5.\nAnswer: 1202620.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -96*s - 422. Give i(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/6*u + 1\/6*u**3 + 0 - 5\/3*u**2.\nAnswer: u*(u - 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Suppose 38 = 5*y - 3*o - o, -3*o - 6 = 0. Calculate the lowest common multiple of a and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840.9768nm to kilometers.\nAnswer: 0.0000000008409768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155880?\nAnswer: 2, 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/170)\/(1197\/(-9975)))\/(15\/9)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6329, -6338, -6359, -6398, -6461, -6554?\nAnswer: -6683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 139*v + 4257. Let n(w) = -58*w - 1703. Give -12*n(k) - 5*t(k).\nAnswer: k - 849","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 15*f - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19643 < 5755456\/293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + sqrt(5)*-2.\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.99.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 0.238, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 198688 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 81*y**3 + 519*y**2 - 1269*y + 672 = 0. What is y?\nAnswer: -7, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8304.206 + 0.06440499?\nAnswer: -8304.14159501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/264 and 5\/44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6807 - 6807. What is the closest to -2 in -1, a, -1\/28, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (-10 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 - 7*z**2 - z + 15. Is 10 a factor of v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/3)\/((-183)\/(-36) - 5). Round r to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 28 = -5*q + 10*u, 3*u + 3 = 0. Sort q, 0.201, 2 in descending order.\nAnswer: q, 2, 0.201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 8 - 4. Suppose 0 = 2*r - k - 2. Solve -z = -5*s - 12, r*z + 3 = 3*s + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164957 bigger than 494870\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 24004637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 + -146. Calculate the remainder when 2 - ((-2)\/(-9) - (-5272)\/b) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 4680684*r - 9361380.\nAnswer: 3*(r - 1560230)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 30. Let i = q - 12. Let k be ((-2)\/(2*-2))\/(-1). Is k at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7632 + 183161\/24. Which is the nearest to 0.1? (a) v (b) -1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1281599812 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 4 + 4)*(3988 + 3848 - 7672 - 2*g).\nAnswer: -2*g**3 + 164*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 12 = 2*g - 4, 3*i = 3*g + 3. Suppose -3*s + x + 2679 = g*x, -885 = -s - 3*x. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*q - 19 + 44, -3*d - 25 = 2*q. Let r = -2 + d. Let x = 19 + r. What is the greatest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*f + 374*f = 184*f + 975 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 2*z = 45*z + 46. Let v(p) = 8*p**2 - 6*p - 2. What is v(z)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 10. Solve -c*j + 9 = -3*m, -2*j - 6 = -4*j + 3*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133064*p - 56 - 133099*p + 56.\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 38113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-24)*-4*6. Suppose -5*o - k = k - 63, t = -3*k. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f\/(f\/f**(4\/5)))\/f*f*f**2)\/(f**(-18)*f*f*f\/(f**(-3\/2)\/f)))**(-4\/23) assuming f is positive.\nAnswer: f**(-346\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o + 105. Calculate the least common multiple of t(-20) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -241?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -112, -175, -226, -265, -292, -307, -310?\n\"Answer: 6*r**2 - 81*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459, 456, 447, 426, 387?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -553.2 + 548.2. Let x = 411 - 807\/2. Let o = x - 8. Which is the third biggest value? (a) 2\/11 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 79457530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*n + 100*n + 60 = 0. Suppose -3*k = -0 - 9. Solve k*v = 8*v - n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65\/6 + 125\/6*t - 5\/3*t**2 = 0. Calculate t.\nAnswer: -1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -415895844 divided by -4.\nAnswer: 103973961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times 143?\nAnswer: -3289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347 = -112*y + 213 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/10)\/(-1) - 0. Suppose -4*y + l + 270 = -l, -4*y + 3*l + 269 = 0. Let u = y + -338\/5. Sort q, u, -0.2 in descending order.\nAnswer: u, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**3\/2 - 3*n**2 - 2*n. What is the remainder when 10 is divided by b(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132739847 to the power of 1\/2, to the nearest integer?\nAnswer: 11521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -26*r**2 - 6*r + 9. Let w(v) = -30*v**2 - 8*v + 9. What is 4*g(i) - 3*w(i)?\nAnswer: -14*i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.323733 rounded to two decimal places?\nAnswer: -8.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5484958261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -469.02 - -469. Put -1\/2, 0.037, 0.5, g in decreasing order.\nAnswer: 0.5, 0.037, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200403 and 33263717?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(352)*-5)\/sqrt(11).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**3 + t**2 - 1. Let k be d(-1). Let m(n) = 6*n**3 - 7*n**3 - 5*n**2 + 4 + 0*n + 2*n. Give m(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(1\/3)))**(-26\/9)\/(h\/(h**(-1\/4)*h*h*h)*h*h**(-1\/3)))\/(h**(-4)\/h**(-7))**(4\/33) assuming h is positive.\nAnswer: h**(-289\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 2. Let v be d(7). Let h = -14 - v. Find the second derivative of 71*y**2 + 53*y**2 + 4*y - 143*y**h wrt y.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2280, -5 in ascending order.\nAnswer: -5, -4, 0, 2280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) -0.7 (c) -112 (d) 7 (e) 2\/9 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 6*h**2. Let f(x) be the first derivative of -3*x**4\/4 + 17*x**3\/3 + 78. Calculate 3*f(a) + 8*p(a).\nAnswer: -a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.029 and -9504.\nAnswer: -9504.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 + 7*o**2 + 18 - 18 - 4*o**2. Let c(j) = -j**2 - 58. Determine c(n(x)).\nAnswer: -4*x**4 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 1382 + 71298 = 51*r. What is the remainder when r is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 436.8 - 52.8. Let o = -384 + s. Which is the closest to -2\/23? (a) 2 (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1110 + 69*a + 1110 + 265*a as y*a + w and give y.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*m - 43*m - 30. Suppose -5*j + 15 = -m. Suppose 0 = -2*k + 4*s + 30, -4*k - 3*s - 27 = -j*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 342\/131 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-21)\/9)*(-35)\/(-245)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o. Let k(p) be the third derivative of 28363*p**4\/24 - 1127*p**2 - 2*p. Give c(k(n)).\nAnswer: -56726*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let n = 1 - 2. Let p(y) = -2 - 1 + 2. Let z(r) = -2*r**2 + 12. Let u(f) = n*z(f) - 12*p(f). Give o(u(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3679*h - 3709*h = -1230. Calculate the remainder when 367 is divided by h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*k**2 + 0*k**2 + 5*k**3 + (5*k**2 - 3*k**2 - 6*k**2)*(124*k - 90*k - 172*k) as y*k**2 + w*k + i + h*k**3 and give h.\nAnswer: 557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 1, r: 3, x: 1, q: 2, v: 8}. Give prob of sequence rnxv.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67376 = 17*h - 15*h + 2*d, -5*h - d + 168428 = 0. Suppose -66*r + h = -61*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18227 + -17672. Let u be 5\/(4\/24*2). Calculate the highest common divisor of u and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -883 (b) -3\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 23*r - 9 = -22*r, 5*r = -5*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.419+908816\nAnswer: 908817.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 34. Let t be (-2)\/(-3)*(-2 + 5)*d. Solve -t*c = -8*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80294955 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 2)**2*-1 + 1)*-6.\nAnswer: 72*sqrt(13) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 20*i + 93. Let x be o(24). Suppose -4*n + 0*n - 320 = 0. Let h = x - n. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 3\/5 (b) 474 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4045112 and 8248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93914583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m. Let i(w) = -7*w. Let c be (10\/15 - 2)\/((-1)\/3). Let a(q) = c*r(q) + 5*i(q). Let y(o) = 3*o. Calculate 4*a(n) + 10*y(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2 or -6.4719?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:32 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 9*q**2 + 13*q - 9. Let g be o(15). Suppose 4*p - g = 10*p. What is p rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716 is divided by 911.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 327\/6)\/((-2)\/4). Suppose 4*r - 5*j = -2*j + 39, r = -3*j + 6. Calculate the highest common divisor of k and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 11*f + 11. Let j be x(-10). Let q(h) = j - 2 + 31*h - 15 - 35*h. Calculate the remainder when 79 is divided by q(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*c - 14 - 42, 3*c = 5*l - 68. What is the highest common divisor of l and 44629?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 4*k**3 + 3*k**3 - 3*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.963 + 0.037. What is the smallest value in 3\/4, -0.1, 0, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - 60 - (-1 - -1)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 488390*p + 120. Let v be w(-8). What is v rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2) + -3)**2 + 2*(sqrt(12)\/sqrt(6))**2)*6.\nAnswer: -12*sqrt(2) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 749237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3313 + 211301010?\nAnswer: 211310323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 311791794*d**3 + 904732*d**2 - 3*d.\nAnswer: 1870750764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-1)\/(-1))\/(-2). Suppose q = -3*u + 5*u - 8. What is the second derivative of 0*d + d**3 - 5*d**3 - u*d wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9604*u**2 + 19600*u + 10000.\nAnswer: 4*(49*u + 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - g - z, 5*z - 4*z = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.9936149 rounded to 2 dps?\nAnswer: 57.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 2*d**2 - 4*d**2 - 63*d.\nAnswer: -3*d**2 - 63*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22*(2\/(-12))\/(-12*(-22)\/(-1584))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(11\/3)*p)*(p**(1\/6)*p)\/p)\/(p**5\/p**(-11)))**(-4\/5) assuming p is positive.\nAnswer: p**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 7*f**2 + 5*f + 7. Let j be m(6). Let p(i) = 2*i - 9. Let o be p(6). Let z(a) = -2*a**3 + a**2 - 1. Let r be z(-1). Solve -r*c - j = o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -70*o - 115 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003 (base 6) in base 9?\nAnswer: -803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2\/7, -1, -2, 54?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*((sqrt(75) - (sqrt(75) + 2*sqrt(75))) + -3 + -1 + sqrt(75) + 1).\nAnswer: -20*sqrt(3) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5050 and 9550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**2 - 13*l**2 + 1 + l**2 - 16*l**2 in the form n + m*l + a*l**2 and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/15 and 97\/21570.\nAnswer: 21570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*u**5\/7 - 160*u**4\/7 + 40*u**3\/7 + 50*u**2\/7 - 20*u\/7 + 2\/7.\nAnswer: -2*(u + 1)**2*(4*u - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-11))\/((-336)\/(-3696))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12813997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97811367*v - 162202795 wrt v?\nAnswer: -97811367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14531 times -206\nAnswer: -2993386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0*i + 2*i**2 + 0 + 1\/6*i**4 - 1\/6*i**3. Let l(m) = -m**2 + 9*m + 1. Let r be l(9). Determine a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 3. Let p be a(0). Suppose p = f - 5. What is the lowest common multiple of 3 and 2\/f + 117\/12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*(-3 + sqrt(76))*-6)**2 - -5*sqrt(76)*2*-1).\nAnswer: -165240 + 23448*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 45391, 3 in decreasing order.\nAnswer: 45391, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3092.9526 minutes?\nAnswer: 2.14788375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3985.8 - -3986. What is the nearest to 0.72 in 4\/7, 4, -3, d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39553634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85736004*o**4 + 3402590*o + 1?\nAnswer: 1028832048*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20867896.\nAnswer: 2, 7, 191, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240752 and 2378?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 847188376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459 - 5*b**2 + 254 + 235 - 948.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -320, -183, -48, 85, 216?\n\"Answer: -a**2 + 140*a - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.9 and -0.5.\nAnswer: 8.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*j + 18*j + 36*j + 44*j)*(-11 - j**3 + 9*j**4 + 7 + 5).\nAnswer: 450*j**5 - 50*j**4 + 50*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -276784184.1186.\nAnswer: -276784189.1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (8 + -8 - 35)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14104 divided by 3.\nAnswer: -14104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088748.\nAnswer: 2, 449, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14915555 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.04, -4, 3, 13, 54?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = r + 2*r + 2*s, -3 = s. Calculate the remainder when 163 is divided by (-328)\/r*15\/(-10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 10:28 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.031\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -11, -4, -848, -5, 2.\nAnswer: -848, -33, -11, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000368469394 to 6 dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 112, 219, 326, 433, 540, 647?\n\"Answer: 107*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x - 40. Let y(p) = -7*p - 35. Let b(q) = 5*h(q) - 6*y(q). Suppose 3*l = -58 + 19. List the prime factors of b(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suuu when four letters picked without replacement from {d: 2, x: 2, u: 4, s: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**30*o)))**(-25) assuming o is positive.\nAnswer: o**(-775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (2 - 8) + 10 + -4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/8 - 2\/4. Let m = 4234 - 4230. Sort c, 2, m, -5 in descending order.\nAnswer: m, 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261768, -523539, -785310, -1047081?\nAnswer: -1308852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**5\/20 - t**4\/12 + 7*t**3\/6 + 5*t**2\/2 + 3*t. List the prime factors of c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -44*q**2 - 9*q + 356. Determine s(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000486625 rounded to seven decimal places?\nAnswer: -0.0000487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 2*z - z)*(8*z**2 - 17 + 17) - 7*z**3 + 0*z**3 + 2*z**3 as a*z**3 + l*z + o + v*z**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 - 178*n. Let m(a) = -5*a**2 - 180*a. Let i(g) = -4*m(g) + 5*z(g). Determine l so that i(l) = 0.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31 - 0 - (-15)\/(-5)*2. Calculate the highest common factor of o and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let n(x) = 0*x + 143 - 143 - k*x. Let w(q) = 7*q**2 + 3. Let l(f) = -120*f**2 - 50. Let z(m) = -3*l(m) - 50*w(m). Determine z(n(t)).\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(65)*2 + sqrt(65)*-1*3)\/(sqrt(20)*1 + (sqrt(5) - -1*sqrt(15)\/sqrt(3))) + -3.\nAnswer: -13*sqrt(13)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 75?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*g + 17 = -39, -21 = -h + 3*g. Suppose 0*l = l - 1. What is the greatest common divisor of h and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9)\/g**(-2\/15))\/((g**1*g)\/g)**(-16\/5))\/((g*g\/g**(-1\/6))\/(g*g**1*g*g*g)*(g*(g**4*g)\/g)\/g*g**1) assuming g is positive.\nAnswer: g**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*h**2 - 5233*h + 10461*h - 5228*h + 1569*h**2.\nAnswer: 1178*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 732405 * -0.4\nAnswer: -292962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193516, 193713, 193910, 194107, 194304?\nAnswer: 194501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3004987 and -3004985 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 3*w**2 - 3*w**3)*(-10*w**2 + 85*w**2 + 16*w**2).\nAnswer: -273*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 24200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101220336 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 114. Determine f(-30).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 6. Determine z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(12\/(-9))*-44. Let l be 13\/y - 11\/33. Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 26771305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/14 - 1\/1. Factor -2\/7*n**3 + 0 - 4\/7*n**2 - t*n.\nAnswer: -2*n*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4578)\/(-3052))\/((-1)\/(-20)*-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 divided by 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3677654 millennia in months?\nAnswer: 4413.1848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254 - 149. Let u be (-10)\/s*(-3)\/2. Which is the biggest value? (a) u (b) 3\/2 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.6, -4, 0.4, -0.5 in descending order.\nAnswer: 4.6, 0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*u - 233 - 2213 = 69 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 685*l*m**2 - 626*l*m + 808986*m**2 + 7 with respect to l.\nAnswer: 685*m**2 - 626*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7*k = 2*b - 27, b + 5*k - 20 = 0. Let x = 196 - b. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7200 and 163888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w + 25*w - 210 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 3, 176, 2, -4 in ascending order.\nAnswer: -4, -3, 2, 3, 5, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/i**(-1\/6)*i))\/i)\/i)\/i*i**(-1\/14))**(-2\/43) assuming i is positive.\nAnswer: i**(178\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, -9, -35, -93, -195, -353, -579?\n\"Answer: -2*j**3 + 2*j**2 + 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {w: 1, l: 4, v: 3, z: 1, n: 2, f: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 4, -36, -57 in ascending order.\nAnswer: -57, -36, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -730, -1221, -1714, -2209, -2706, -3205, -3706?\nAnswer: -4209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62944330*s**3 - 1034763163.\nAnswer: -188832990*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 12650032?\nAnswer: -12650023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulmssmsssmuuumx. Give prob of sequence ml.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*l + 16. Suppose -g = -l*c + 14, g - c + 17 = 4*c. Let q = g - -4. What is the smallest common multiple of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32476 and 161?\nAnswer: 227332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 278.2 - 253.62. Let c = 24 - a. Round c to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 25*l + 8. Determine u(-4).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 184 + -99. Suppose 5*x = k + x - 33, -n = -3*k + 5*x. What are the prime factors of k - (1 + -3 + 1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1559, -1550, -1541, -1532, -1523?\nAnswer: -1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(90\/(-8)) - (-58)\/10. Solve x*d + 15 = 10*d, -4*f - 5*d + 35 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245700 and 1820?\nAnswer: 245700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/4976 and 105\/88.\nAnswer: 54736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 7845, 1403 in decreasing order.\nAnswer: 7845, 1403, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 56*i**2 + i + 3. Let q be r(-2). Suppose u = 21 + 90. Suppose -4*v + 2*g = v - q, -u = -2*v + 5*g. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Suppose v = -2*j + j. Let f = 15\/4 + -13\/4. Which is the second biggest value? (a) f (b) 5\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27063756 or 27063757?\nAnswer: 27063757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200859776 - -200860267.999156. Let y = 492 - o. What is y rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 61, 116, 161, 178?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2688)\/(-24) + (-406 - -193)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -899\/38 + 440\/19. What is the nearest to z in -143, 0.4, -5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-14)\/(-266)*1*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -7 - 1986\/(-742). Let o = 2\/53 + z. Is 0.08 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = p - 773, -20*p + 2324 = -17*p + 4*g. What is the remainder when p is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35676.\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6171 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, m: 2, x: 2, i: 2, t: 4}. Give prob of picking 1 m and 1 t.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 116*j - 386. What is the tens digit of y(-60)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1512 by -6.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*g - 376 = 40*g + 1496 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000192731 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 6:44 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1115*v**2 + 786*v**2 - 1321*v**2 - 1.\nAnswer: -1650*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, -4, 2, 3 in increasing order.\nAnswer: -4, 2, 3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 6, -0.95, 30?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -22*b**2 - 1. Let j be (6 - (-30)\/(-4))\/(1\/(-2)). Let r(p) = -3 - p**2 + j - 2*p**2. Calculate r(y(v)).\nAnswer: -1452*v**4 - 132*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.38, 0.3.\nAnswer: -4, 0.3, 1.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1445*k + 1444*k = 2*x + 5, 0 = -5*k + 5*x - 25. Put -211, 4, k, -13 in descending order.\nAnswer: 4, k, -13, -211","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*d - 72, -2*k + 22 = -3*d - 46. Let q = 61 - k. Is 31 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1807 - -1807.000002752. What is a rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2828 divided by 1.\nAnswer: -2828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -51, -45?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 29*n**2 + 238*n - 36. Calculate y(14).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**26)**(-44)\/(o\/(o*o**(-2\/5)*o)*o\/(o**36\/o)))**(3\/10) assuming o is positive.\nAnswer: o**(17019\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4833556 (base 10) to base 6\nAnswer: 251333324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 0)*3\/(-2). Let s be 1\/(1 - (-4)\/y). Suppose 0 = s*k - t - 26, 0 = 3*k + 7*t - 2*t + 4. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*o - 32*o**2 + o**3 - 3*o + 86*o**2 + 0*o**2 to t*o**3 + c*o + g*o**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 16*p - 47. Let r(t) = -9*t + 24. Let u(h) = 4*l(h) + 7*r(h). Give u(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -82, -51240 in decreasing order.\nAnswer: -2\/27, -82, -51240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7989 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -181*h**3 + 2*h**2 + h. Let n be (14\/21)\/((-2)\/9). Let y be n\/5 - 10\/25. What are the prime factors of f(y)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1594 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - 3 - (-10)\/(-1). Let p(q) = -q - 6. Let f be p(v). Solve d = -4 - f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001101101000001 (base 2) in base 16?\nAnswer: -21b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*l + 832 = 723*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 7582?\nAnswer: -7587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13622087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178654 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 194041*g\/5 - 776148\/5.\nAnswer: -(g + 4)*(g + 194037)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 2\/19 (c) 14651\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 2 - 3 - (-18 + 32)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 355610 + -355560.0031. Let n = d - 50. Round n to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762*z = 708*z + 270*z + 36540 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**4\/12 - 7*p - 2. Let b(r) be the third derivative of r**4\/6 - r**2. Calculate b(t(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12159848 and -1854?\nAnswer: 12157994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -10. Let h(t) = t**3 + 10*t**2 - t + 6. Let m be h(y). Calculate the highest common divisor of 48 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t - 6*t - 2*t - 2*t. Let j be p(-2). Let l = -11 + j. Solve -2*o - 2*h - 2*h = -6, -5*o - l*h + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:50 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 5*f + 6. Let h be p(-5). Suppose -s - 180 = -h*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*g + 217*g = 428*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 3*x + 6. Let g be q(5). What is the common denominator of (9\/(-14))\/(g\/8) and -10\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 11*s - 10. What is m(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 53876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*c + f, -f - 9 = -3*c + 2*f. Suppose -5*g + c*g + 50 = 0. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:36 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -42*c - 48*c + 86*c. Let x(l) = -3*l - 10. Give t(x(z)).\nAnswer: 12*z + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 17*p**2 - 19*p**2 + 12*p**2.\nAnswer: -24*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (3 - 3 - -7 - (-1 + 9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2569297897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 6*g**2 + 0 + 29 in the form r + u*g**2 + o*g and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*x**2 - 49*x**3 - 105*x**2 + 66*x**2 as o + b*x**2 + s*x + q*x**3 and give q.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((63\/(-72))\/(-7))\/(60\/(-48))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 6, -3*c + 6*c = 4*v - 9. Suppose -9*u + 6*u + 9 = v. Suppose u*s - 104 = 28. What is s rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11 - 6 + 21)*(-m - 4*m + 4*m).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.17902 to 1 decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -11*p + 217 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 57*z - 131. Let f be v(-26). Put -4, 35, f in descending order.\nAnswer: 35, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 7*w - 7 - 70, -201 - 327 = d - 48*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3362 + 2051?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((6\/4)\/(-3)). Suppose -v = -5*x + x - 3, -x + 12 = -v. Let b(d) = 23*d**2 + 17. Let j(w) = 8*w**2 + 6. Determine v*j(i) + z*b(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -18b29?\nAnswer: -18b2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i*(i*i\/(i**7*i*i))\/i*i*i)\/i)\/i*i*(i**3*i)\/i)\/(i**5*i**(-12)))**(2\/23) assuming i is positive.\nAnswer: i**(10\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(7\/4)\/(g\/((g\/(g**(-6)*g))\/g))*g**(2\/15)\/g**(-8) assuming g is positive.\nAnswer: g**(833\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 27. Suppose -p - 7 = f, 8*p - j*p + 15 = -f. Does 11 divide 4163\/69 - p\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from bttbtt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -0.2, -11945, 1, 14 in increasing order.\nAnswer: -11945, -67, -0.2, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2. Let h(x) = -4*x + 526. Determine h(l(c)).\nAnswer: 12*c**2 + 526","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8176547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -76650000 rounded to the nearest one million?\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -132 and -34.\nAnswer: 4488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12627 + 10471. What are the prime factors of s?\nAnswer: 2, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -377027, -377033, -377049, -377069, -377087, -377097, -377093, -377069?\n\"Answer: k**3 - 11*k**2 + 20*k - 377037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 1, e: 4, f: 2, j: 1}. What is prob of sequence feue?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*n + 21. Let d be (-1 - -1)*-1 + n. Suppose 2\/5*m**d + 0 - 2\/5*m = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 3. Let t(q) = -q**2 - 4. Suppose -32 = u - 9*u. Give u*y(s) + 3*t(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 141\/27 - 2\/9. Let g(k) be the second derivative of 1\/6*k**4 + 0*k**3 - 3*k + 0*k**h + 0 - 1\/2*k**2 - 1\/30*k**6. Determine l so that g(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h + 5*j + 11, -2*h + 13 = -5*j. List the prime factors of -1 + 80 + 3 + h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000110736062 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -1, 16, 1\/7.\nAnswer: -7, -2, -1, 1\/7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*w + 12, s + 14 = -3*w - 0*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 - 49 = 37*x - 138 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2512*l**3 + 102*l**2 + 1 wrt l.\nAnswer: 15072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 + 7*l**2 - 9. Let d(p) = 2*p**3 + 4*p**2 - 5. Let q(m) = -24*m + 3. Let h be q(-2). Suppose -h = -11*o + 26. Calculate o*d(a) - 4*i(a).\nAnswer: -2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a - 16. Let x be s(-7). Let u(g) = g**2 + x*g**2 - 9*g**2. Let v(l) = -2*l**2 + 3*l - 3*l. What is v(u(n))?\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 - 1. Let c be f(-1). Suppose -s = 0, -c*p = -5*p + 2*s + 2. Suppose -p*a + 4*a + 61 = 3*r, 3*r = 4*a + 59. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 336167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1473.7921 to 0 dps.\nAnswer: -1474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -9\/4*i**5 - 5\/3*i**4 - i**6 + 0 - 5\/42*i**7 + 0*i**3 - 20*i + 0*i**2. Determine z, given that s(z) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2670 (b) 2 (c) 0.4 (d) 3\/4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130048 (base 9) in base 5?\nAnswer: -10010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/6372 and 95\/54.\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 108 + 32 = -4*u, 0 = -u + 4*p + 44. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 20 = 0, 4*m - 54 = -2*n - 4. Suppose -n*r = -18*r + 33. Calculate the remainder when r is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-11088)*-88*4\/(-10)*(-15)\/(-99).\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 21*r + 584. Let h(l) = -4*l - 117. Calculate 11*h(m) + 2*q(m).\nAnswer: -2*m - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -168, -2, 44, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, b: 5, j: 5}. What is prob of picking 3 j and 1 b?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7267.301 to the nearest one hundred.\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 60 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-7)\/y*y*y*y\/(((y*y\/(y\/(y\/(y\/(y\/(y*y**(2\/21)\/y)))*y))*y)\/y*y)\/y))\/(((y**(2\/3)\/y*y)\/y)\/y*y*y*y*y*y**(-3\/2)*y))**(-2))**34 assuming y is positive.\nAnswer: y**(4794\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 11*m. Give z(-9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) -1.26 (c) -2\/9 (d) 0.091\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -w - 4*z, -5*w + 834 = -4*z + 3. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 211*d**5\/60 + 2908*d**2. Let b(q) = -q. Calculate b(f(g)).\nAnswer: -211*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -273*r - 33. Let b(d) = -17*d - 2. Let o(s) = 33*b(s) - 2*v(s). Let j(p) = 2*p. Give j(o(w)).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2118 and 43\/21180.\nAnswer: 21180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*z + 11590, 2*z = 7*z - 2*x - 14490. Suppose 8*j - z = 10*j. Round j to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235630 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 346 (b) -2\/5 (c) -2 (d) 0.5 (e) -5 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 399734900?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -184, -222, -250, -262, -252, -214, -142?\n\"Answer: h**3 - h**2 - 42*h - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21651.\nAnswer: 3, 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/6 + 79*x**2\/3 - 917*x\/6 + 380\/3 = 0. What is x?\nAnswer: 1, 5, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:51 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 3760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 a factor of 6793600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -135*t. Let c(j) = 41*j + 38*j + 42*j + 41*j - 158*j. Give c(a(l)).\nAnswer: -540*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1999057\nAnswer: 399811.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-98)*7*(-1)\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -7. Suppose -6*j + 106 = -50. What is the least common multiple of f and j?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 3*r**2 - 12*r - 3. Let u be f(-5). Suppose -u*y + 4*y + 9 = 0. Suppose 64*x + 11*x**4 + 4*x**4 - 64*x + 6*x**y - 21*x**5 = 0. What is x?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 2:19 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4640 and 3915.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5340 + -2?\nAnswer: 5334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4 and 127\/32226?\nAnswer: 64452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 60, 111, 184, 285?\n\"Answer: b**3 + 2*b**2 + 22*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25389563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.983 - 19. Let o = 0.417 + n. Which is the closest to 0.1? (a) -1 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165819 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 11:07 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 163081603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n**2 - 7. Does 29 divide v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 31 - 74. Suppose 4*s = -2*h, -h + 6 = 5*s + p. Suppose -5*d + 20 = -2*t, 4*d = t + h + 7. Solve d*x - 20 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b8cc4 + -3?\nAnswer: b8cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/30)\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1546 * -21387.\nAnswer: 33064302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3314*q - 27607. Calculate w(-8).\nAnswer: -1095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 13, o: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 100*g**3 + 4.\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1095 and 59860.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 28952?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 11*n - 1. Let b be (-20)\/50 + (-8)\/5. What is the closest to n in -0.3, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 442*s**2 - 3537*s + 8. Give i(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1414 * -2.\nAnswer: -0.2828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = 3. Let k(v) = -v**3 + v**2. Let u be k(o). Find the second derivative of -q + u*q + 0*q + 2*q**4 wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 29*g. Let b(w) = 2*w. Let f(m) = 30*b(m) - 2*j(m). Let v(a) = 49*a**2. Calculate v(f(x)).\nAnswer: 196*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*x. Suppose 4*w - 5 = x*w. Suppose -5*a + 20 = w. Solve -5*f = 7 + a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-3) + (-1 - -1). Suppose 5*f + 4*k + 29 = 0, k + 5 = -s*f - 11. Let b = 8 + f. Solve 0 = -2*r - b*d - 2*d + 4, -3*r - 5*d + 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than 175906695248?\nAnswer: 175906695247.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 1012840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 355016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49733 divided by 1.\nAnswer: -49733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*i - 10966*i**3 - 70*i - 78*i - 51*i**3.\nAnswer: -11017*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4\/(-3))*2\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*f*g*r**2 + 3*f - 28*g**3*r + 190*g**3 wrt r?\nAnswer: 16*f*g*r - 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/16)\/((56\/(-28))\/24)*(-44)\/11?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -25 - 11 - (-1 - 4 - 9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 37 + -1 + -33 + (-42 - -52)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -4\/9, -1\/6, -2\/11?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 234908\/443 and 530 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 3*s**2 + 4*s + 5. Suppose -11 + 31 = -5*u. Let w be v(u). Suppose -2*i + 10 = 2*r - i, w*i - 20 = 0. Solve 0 = -3*t - 0 + r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*h - 0*h - 353, 0 = -4*v - 4*h + 1460. What is the greatest common divisor of v and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - l - 8 = 0, 4*l + 16 = 8*l. Suppose -m + 2*b + 3*b - q = 0, -5*b - 13 = -2*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328640 is divided by 2549.\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*c**4 - 31*c**4 + 158*c**4 + (0*c + 4*c - 2*c)*(5*c**3 - 3*c**3 - 4*c**3) as j*c**2 + u + g*c + h*c**4 + n*c**3 and give h.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.5279kg in tonnes?\nAnswer: 0.7085279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 137. What is the remainder when 46 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 3, 2\/283, -217?\nAnswer: 2\/283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvpr when four letters picked without replacement from rpvppzq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 11:51 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z. Suppose 2*w - 5*k - 16 = z, 35 = 4*w - 5*k + 3. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14)\/(54\/(-108)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 38 + 3*t + 19.\nAnswer: 3*t + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 + 7*q. Let f(d) = -12*d. Let u(g) = 5*g. Let l(b) = -3*f(b) - 7*u(b). What is -6*l(r) + v(r)?\nAnswer: 4*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399773612 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 21*l**2 - 4*l. Let u(j) = 105*j**2 - 21*j. Let q = -6062 - -6041. Determine q*s(i) + 4*u(i).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -509.8010704 rounded to two decimal places?\nAnswer: -509.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 1792 + 1792 - 6*q**2. Let z(u) = -6*u. Determine j(z(o)).\nAnswer: -288*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -48*r**2 + 7*r - 1. Let f(q) = -q. Let c(o) = -6*f(o) - v(o). Is c(-1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d + 343. Calculate n(-39).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x + 3 + 5 - 6)*(-6*x - x + x).\nAnswer: -60*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7376)\/2)\/(-2) + -2. Let t = 3402 - h. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*c - 291*c = 5*w + 45, 5*c = -3*w - 11 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + 255255*j**2\/2 - 12216360716*j - 256552955743\/6.\nAnswer: -(j - 191443)**2*(2*j + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 6, -3*u - 651*a + 119 = -652*a. Calculate the greatest common factor of 5291 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90\/8311 - -843489\/1911530. Find the common denominator of p and (-16)\/(-84)*99\/24.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1074 and 4182.\nAnswer: 748578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192)\/48*(-1)\/4*-13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 717517 to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -12 - (-41 + 36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*i - 21, 4*b - 12 = -4*i + 12. Suppose -4*m = -i*a - 337, 4*m - 4*a = -7*a + 319. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*l**2 + 0*l**2 + l**2)*(1 + 3 - 2) - 2*l**2 - 2*l**2 + 2*l**2 + 152*l**2 - 485*l**2 - 726*l**2)*(2*l + 0 + 0).\nAnswer: -2130*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*z + 10596 = -44357 + 5533 for z.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 6*t - 33. Suppose 22*l - t = 24*l. Do -11\/2 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 7*z. Suppose -8*i = -3*i + 4*l - 10, z = -2*i + 5*l + 4. Suppose 8 = -2*k - i. Which is the smallest value? (a) -0.4 (b) 0.5 (c) k (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d - 3. Let x be k(-2). Suppose 0 = -3*i + 12*i - x. Sort 5, i, -3, -1 in decreasing order.\nAnswer: 5, i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/4*578\/2023\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219293?\nAnswer: 219293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/(-350))\/(12*(-7801)\/812).\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2508799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w + 6072 - 9056 = -4594 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2301, 4580, 6859, 9138, 11417, 13696?\nAnswer: 15975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19513 - -19512.7. What is the closest to -11 in -1\/4, 0.08, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 3*z**2 + z**2 + 11*z**2 - 4*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 6, s: 1, k: 3, a: 3, x: 4}. Give prob of picking 1 k, 1 s, and 2 x.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11053056?\nAnswer: 2, 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, c: 4, l: 4, o: 5, m: 3}. Give prob of sequence ic.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-117)*((-7)\/462)\/((-4)\/(-12))?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*y + 1284, 2*q + 0*y = 2*y - 510. Let a = q + 458. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/5 - 764239744*s\/5 - 73007798288648192\/5 = 0. Calculate s.\nAnswer: -191059936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50461*f**2*t**4 - 2*f**2*t**2 + 16*f**2*t + 2*f**2 + 13618*f*t**4 + 3*f*t + f + 10738*t**2 wrt t.\nAnswer: 1211064*f**2*t + 326832*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1295.25 and 1?\nAnswer: 1295.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(4 + -10 - (-1 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17523.6835 rounded to the nearest ten?\nAnswer: -17520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/2 - (-1)\/1. Calculate the common denominator of u\/(-14)*117\/(-36) and 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8826 - m**3 + 0*m**2 + 8825 + 11*m**2 - 11*m. Give k(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -11*a - 7. Let p(j) = 23*j + 15. Let w(o) = -4*p(o) - 9*v(o). Let u(b) be the first derivative of 15*b**2\/2 + 7*b - 92. What is 6*u(y) - 13*w(y)?\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 + -119. Let s = n - 0. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 929 + -929. Let a(c) = c**3 - c**2 - c. Let s be a(0). Let d = -0.1 - 0. What is the closest to h in s, 1\/4, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (sqrt(68) + (sqrt(68)*1 - sqrt(68))))*3)\/(sqrt(256)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 8 + k**3 + 2*k**3 + 0*k**3 with respect to k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32 + 4)*-1*2\/(-8). What is the third derivative of p*x**5 - 8*x**5 - x**2 - 2*x**2 - 8*x**3 - 2*x + 2*x**2 wrt x?\nAnswer: 60*x**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2628 and 1883984.\nAnswer: 16955856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:10 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24575, 101843, 230623, 410915?\n\"Answer: 25756*z**2 - 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13495 + 1434 - 5909 = -614*k - 14312 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100) - (sqrt(100) - (-4*sqrt(100) - sqrt(100)) - sqrt(100)))*3)\/sqrt(5))\/(sqrt(360)*2 + (sqrt(10) - 5*(sqrt(10) + (sqrt(10) - sqrt(10)*1))))*2.\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-112)\/(-32)*36\/21. Solve 2*u = i, -22 = -0*q + 5*q + u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2073 - 42\/((-24)\/(-4)). Is (i\/60)\/(((-2)\/9)\/1) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -559, -822, -1067, -1288, -1479, -1634, -1747?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (0 - -1)) + (15 - 9 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92332 and 20172.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 192*x**2 + 2934*x - 1889. Calculate a(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6))**(-31) assuming a is positive.\nAnswer: a**(-217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148 and 4?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 7*j**3)*(-83*j**2 - 108*j + 108*j).\nAnswer: -581*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1715 divided by -35.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/144333163 or -1?\nAnswer: -3\/144333163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.09 - -7.79. Let j = 3 + 1. Which is the fourth biggest value? (a) 1 (b) u (c) j (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 0*z - 3*z)*(4676*z - 21969*z + 41244679 - 41244681) to u*z**2 + s + a*z and give u.\nAnswer: 51879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 20065455?\nAnswer: 20065459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 143971, 144182, 144393, 144604, 144815, 145026?\n\"Answer: 211*a + 143760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/752 and -67\/188.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:23 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -262 + 123.724. Let o = -0.276 - b. Let x = 138.000276 - o. What is x rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73262474?\nAnswer: 2, 283, 129439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let f(p) = 6*p**2 + 6*p**2 - 3*p**2 + 3*p**d. Let s(t) be the second derivative of t**3\/3 + t. What is f(s(i))?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n - 6*n - 16*n**2 + 141*n**3 + 4 - 143*n**3 + 2*n**4 in the form o*n**4 + i + t*n**3 + r*n + c*n**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w**(5\/3))\/(w*w**(1\/3)*w)**(-28\/5)*w**0\/(w*w*w\/((w*w*w**3*w)\/w))*(w*w\/w**(-1)*w)**(-37) assuming w is positive.\nAnswer: w**(-653\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -43. Suppose 10*u = t*u - 10140. Suppose -l + u = l + 2*k, 7577 = 3*l - 4*k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a**2 - a - 2. Let y be s(2). Let f = 52 + -52.028. Let r = f + -0.072. What is the nearest to -2\/3 in r, 4, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81660 + 6859283\/84. Calculate the common denominator of z and 19\/96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*z + 2*f + 7, 5*z - 5*f = 5. Let b be (-2)\/(-7) + 34\/(-21). Is b greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:28 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 11:59 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -34 * -172\nAnswer: 5848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1, -5899, -5, -4 in descending order.\nAnswer: 2, 1, -3, -4, -5, -5899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*w**2 - 2109*b**3 + b*w**2 - 12*b - 1092*w wrt b.\nAnswer: 6*b*w**2 - 12654*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 - 6*y**2 - 11*y**2 + (-y**2 - y**2 + 4*y**2)*(0 - 7 + 4) + 0*y**2 - y**2 - y**2)*(-y**3 + y**3 - 2*y**3).\nAnswer: 38*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8944065 (base 10) in base 13?\nAnswer: 1b12060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22728, 22854, 22934, 22968, 22956, 22898, 22794?\nAnswer: 22644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 - 99*p**3 + 109*p**3 + 143.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 10*g**2 + 9*g + 1. Let q be v(-9). Let f = 1 - q. Suppose -2*z + m + 12 = f, 3*z + 3*m = 4*m + 19. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -209d - -2?\nAnswer: -209b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/21)\/(-2))\/((-61)\/427).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 162229 = -161989 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11979903 divided by 921531.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 21. Let y = 1 - -2. Let t = y - l. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1712 + 10937. Suppose 2*n + 567351 = -i. Round n to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (1 + sqrt(396))**2*-4 - (5*sqrt(396)*1 - (-5 + sqrt(396)*-2 - sqrt(396)))**2*-6.\nAnswer: 2832*sqrt(11) + 150623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 866578 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-1\/12)\/g)\/g)\/g*g**(-9))**(-47)*((g**(-6)*g)\/g*g*g)\/(((g**(-4\/7)*g)\/g)\/g)*(g\/g**(-2\/3))\/g*g\/(g*g**(-5)) assuming g is positive.\nAnswer: g**(44029\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -35*m**3 - 14*m**2 + 14*m - 3. Let z(d) = 5*d**2 + 1 - 6*d**3 + 9*d**3 - 5*d + 9*d**3. Let b(c) = -6*t(c) - 17*z(c). Give b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((0 - 3) + 5 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 55*h + 62*h - 963 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8 = -7. What is the remainder when ((-6)\/(-12))\/(c\/18) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:11 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*g + 7*g - 1 + 35*g)*(-g + g + g) to m*g + t + n*g**2 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 + 11*o**3 - 23*o**2 - 35*o.\nAnswer: -o*(o - 7)*(o - 5)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/17)*c)\/((c**(-3)*c)\/c)*(c\/c**(-4))\/(c*c*c**(-3\/7)*c) assuming c is positive.\nAnswer: c**(751\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - -340?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, o: 3, i: 1, s: 1, q: 1}. What is prob of picking 1 s, 2 o, and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 21. Let i be a\/4*-54*24\/(-18). Suppose -y + 2*x = -3*y + 184, -y + 3*x + i = 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/23508 and 44\/37221.\nAnswer: 446652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 7*f**2 - 7*f**2 + 11*f**2 - 3*f + 3*f**3.\nAnswer: 3*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150313 times 0.4\nAnswer: -60125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1160406 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83.866 - 84. Let y = 0.28 + m. What is y rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - y - y + (-5*y + 2*y + 2*y)*(-5 + 7 + 6) + 2*y - 6*y + 2*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 42 + k + 3*k + 2*k - 2*k. Let z be t(-11). What is the closest to z in -4, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986127869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6.81, -0.04 in decreasing order.\nAnswer: -0.04, -1, -6.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.708946 times 13\nAnswer: 9.216298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + -3 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98507443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429693692?\nAnswer: 2, 107423423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*p - 45 = 0, -p = 5*z + 4*p + 5. Suppose 2*l - l - 4 = 0. Solve -z*x + 17 = h + x, 4*x = l*h + 28 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -50 - (-261)\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s**2 - 4*s - 28. What are the prime factors of l(-18)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*x**3 - 31854*x**2 + 196449*x - 27414 = 0. What is x?\nAnswer: -1523, 1\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 11*u**3 + 53 - 53.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-7)*(1 - 0)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2 = 3*f, b + 4*f + 12 - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -62*p**6\/15 + 91*p**3\/6 + 56*p. Find the second derivative of f(b) wrt b.\nAnswer: -1488*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 12 = 2*y - 6*y, -z = 5*y - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - z - 596 = 0, -t - 132 = -2*z - 4. Let h(c) = -13*c**2 + 2*c - 7. Let s be h(3). Let y = s - t. Solve 3*q - 3*p = -y*p - 14, -5*q + p = 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(20)\/(sqrt(4) + sqrt(12)\/sqrt(3))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*c + 12, 26*c + 5*r - 14 = 24*c. Let b(k) = -11*k**3 + 2*k**2 + k - 2. Give b(c).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*f - 19, -4*c = 2*f - 10 + 2. Suppose c*h - 228 = -4*z, z + 0*h = -h + 56. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((-30)\/(-17)) + 2\/(-5). Suppose 0 = -7*b + u*b + 20. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (-9 - (-3 - 2)). Let j(w) be the first derivative of -7*w**2\/2 - w + 4. What is the lowest common multiple of j(a) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + s - 2*s)*(5*s - s - 3*s) + s**2 + s**2 + 0*s**2 + 0*s**2 - 2*s**2 + 3*s**2 + 30*s**2 + 3*s**2 + 18*s**2 as j*s**2 + w + l*s and give j.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 9008*l + 27060.\nAnswer: -4*(l - 2255)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 217580000 = -12*i. Round i to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**5\/3 - 95*o**4\/6 + 20*o**3 + 605*o**2\/6 - 170*o\/3 - 50 = 0.\nAnswer: -2, -1\/2, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 8*a**2 - 6*a + 9. Let b = 10 - 17. Let k be s(b). Let o be (-26)\/(-6) + k\/(-6). Solve 3*z - o = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (87\/2)\/(9\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07 and -358.25?\nAnswer: 358.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + -4.4. Which is the closest to 0? (a) 0.3 (b) -0.02 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 832038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*t - 19 - 18, -3*s - 29 = 4*t. Let d(v) = v**3 + 5*v**2 + 7*v + 5. Let f be d(t). Let n = f - -42. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14 - -15 - (-2)\/(4\/3) and 179\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*c. Let t = 127 + -65. Suppose c*d = d - t. Round d to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 8*n + 7. Let r be p(7). Suppose 3*o - 6 - 6 = r. Let q(z) = -o*z + 3*z + z + z**2. Let m(s) = 2*s**2. Calculate m(q(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(850\/(-105))*(140\/(-56))\/(45\/(-10)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 573638?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {e: 3, s: 1, c: 1, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -0.1. Let u(l) = -l**2 + 7*l + 18. Let h be u(8). Let g be (-5)\/(-75)*h*(0 - 6). What is the nearest to a in -0.3, g, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 2 + 15*w + 3 - 8*w - 5. Let x be p(5). Let s = x + -27. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 9*k - 50 = 0. Let y be (0 - 1)\/(k - 6). Suppose 0 = 5*i + w - 6, 10*w - 9 = -5*i + 6*w. Which is the closest to i? (a) -5 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 726*h + 724*h - 4, 3 = 3*q - 4*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (59705 - 2)*((-2856)\/(-147) + -19)?\nAnswer: 3, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2987 - -39774156541.\nAnswer: 39774153554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-6\/13)*o)\/o)**(-3\/11) assuming o is positive.\nAnswer: o**(-21\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363021752 divided by -181510876.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2) - sqrt(2))**2 + 0)*-3.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 7*h - 3\/4*h**2 - 3\/40*h**5 - 3\/4*h**3 + 0 - 3\/8*h**4. Factor r(t).\nAnswer: -3*(t + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2137935.\nAnswer: 3, 5, 142529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 9:18 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018825796*-0.2.\nAnswer: -0.0037651592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 101 = -2*j, 3*l - 249 + 378 = 3*j. What is the fourth smallest value in j, -3, 0.5, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 3, 0.009, 3\/5, 1?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 21 + 19 = 0. Suppose 3*p - 1 = 5*i, -4*i - 3*p + 7 = -n*p. Let x be i\/(-3) + (-17)\/3. Which is the smallest value? (a) 0 (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*-2)\/sqrt(9))\/sqrt(9) + -3.\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 12*l - 29. Let d be k(4). Solve -j - 18 = -5*i, j - 15 = -5*i - d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/17 + 186*t**3\/17 + 6468*t**2\/17 + 99704*t\/17 + 574992\/17 = 0. Calculate t.\nAnswer: -27, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -364749*c**3*r**3 - 4516*c**2*r**3 - 2*c**2*r**2 wrt c?\nAnswer: -2188494*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -845 + 850. Sort 8, n, -5, -2.\nAnswer: -5, -2, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249 by 1176077.\nAnswer: -249\/1176077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 83017*y - 498066.\nAnswer: -(y - 83011)*(y - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1\/2, 1\/5, -103\/3?\nAnswer: -103\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*r**5 + 8*r**3 + 31802*r**2 - 91122895*r wrt r?\nAnswer: 660*r**3 + 48*r + 63604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3448.95576 to 0 dps.\nAnswer: -3449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30709*m**5 + 3*m + 4938?\nAnswer: -614180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + 19*p**2 + 65*p + 55. Let m(l) = 7*l**3 + 39*l**2 + 127*l + 110. Let f(t) = 6*m(t) - 15*v(t). Solve f(g) = 0.\nAnswer: -11, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19728 and -5.\nAnswer: 0.9864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 3 (c) -5\/6 (d) 0.1 (e) 0 (f) 608\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - 10*c**3 + 10*c**3 - 40 to the form u*c + l*c**3 + k + a*c**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -v + 4*v, v + 5*a = 11. Suppose 0 = 2*q - 8, 2*s - 2*q = -2*s - 16. Sort 4, s, 1, v in decreasing order.\nAnswer: 4, 1, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78175, -9, -114 in descending order.\nAnswer: 78175, -9, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 + 14*i - 48. Let h be c(-8). Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 + 114\/4. Let w = 40 - b. Let i(q) = -5*q - 4. Let m be i(-3). Calculate the highest common divisor of m and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1541 and 51341.\nAnswer: 79116481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.71525 nanograms in tonnes?\nAnswer: 0.00000000000005371525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 + -105.8. Which is the nearest to 4? (a) 0.3 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-36) - (-41)\/18)*-300. Let v(f) = 7*f**3 - 7*f**2 - 7*f + 2. Let h be v(-6). Let n be h\/(1499\/m - -2). What is n rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403.089 rounded to the nearest integer?\nAnswer: -1403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1.27, -0.3, -5, -1.8, -0.038?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -55. Let v be (4 - 54) + x\/2. Let u = v + 104. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -676.212?\nAnswer: -60.85908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 7*n**2 + 5*n - 7. Let l(h) = 2*h**3 - 15*h**2 - 11*h + 16. Let o(a) = 3*l(a) + 7*x(a). Give o(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(8\/70))\/(-2)*(-9000)\/6300\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:10 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28362 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241379?\nAnswer: 281, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 447.2 and -0.5?\nAnswer: -223.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 + 384. Let h be (-8)\/48 - (g\/(-6) + -2). Suppose -q = q - h. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 31*v - 21 + 36.\nAnswer: 31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205 + -205.4. Let n = -0.07 + 0.67. Let d = q + n. Which is the biggest value? (a) -5 (b) d (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - i - 21*i + 4*i + 2*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b*f*o - 330*b*o**5 + 2*b*o**2 - 3*f*o**4 - f*o**2 + 15*f - 5 wrt o?\nAnswer: -19800*b*o**2 - 72*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/6 - (-106)\/159. Which is the nearest to -1? (a) -1\/7 (b) -0.7 (c) z (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 46. Let v = -15 + 23. Let q(m) = m**3 - 8*m**2 + m - 7. Let s be q(v). Sort s, 2, z in ascending order.\nAnswer: z, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -164605, -328937, -492995, -656779, -820289?\n\"Answer: 137*y**2 - 164743*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 4*k. Let u be b(-5). Suppose -2*n + 52 = -h + 5*h, 0 = 4*n - u*h - 130. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a80205 (base 11) to base 9.\nAnswer: -3223182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**5\/80 - 7*u**4\/48 + u**3\/3 - 2*u + 583. Let v(c) = 0. What is c?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7 (b) 2\/5 (c) 1\/3 (d) 95 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.737706um in nanometers?\nAnswer: 2737.706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -943 - -952. Is q bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ee8a + 7?\nAnswer: 1ee92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -615336?\nAnswer: -615333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -16. Suppose -10*q = 3*w - 9*q - 681, -916 = -4*w - 4*q. Let k = w - h. What are the prime factors of k?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191815 to the power of 1\/2, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/25)\/c)*(c\/c**(-2\/17))\/c)**(-9\/2) assuming c is positive.\nAnswer: c**(-4203\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.5292 to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/108 and -17\/8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-6)\/(-3))\/(-1). Let t = 2 - h. Solve -5*w - 2*p + 12 = t, -4*w + p - 4*p = -11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = 2*a, -4*a + 0*a = -3*r - 19. Suppose 0*v + 70 = 4*v + 2*j, -v + a*j = -40. What is the greatest common factor of 50 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -42, -2 in decreasing order.\nAnswer: -0.1, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (0 - 2)) + 1 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4170 and 2010.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**32*q*q))\/((((q*(q\/q**(-19)*q)\/q*q)\/q)\/q)\/q))\/(q**(-27)*q**(-22)) assuming q is positive.\nAnswer: q**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 5*p - p + 2*p**2 - 4*p**2 + p**2 + 2*p**2 + (-p**2 - 4*p**2 + 2*p**2)*(0 + 3 - 2) - 2*p**2 - 4 + 4 to k*p + m + a*p**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 7*s**2 - 7*s - 4. Let z be p(8). Suppose -z*f + 78 - 6 = 0. Calculate the highest common factor of f and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8503 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 5:56 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19630 and 1252940.\nAnswer: 189193940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -531718 and -1?\nAnswer: 531718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -650.4 + 650.355. Sort v, 0.4, -9.\nAnswer: -9, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514281455.\nAnswer: 5, 19, 5413489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 16*h**2 + 6. Let b(i) = 5*i**2 + 2. Let w be 1\/(10\/(-14))*(-6 + 11). Let m(r) = -r**2 - 5*r + 2. Let d be m(-5). Calculate d*g(u) + w*b(u).\nAnswer: -3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 11 + 0*s**4 + s**3 + 6*s - s**4 as v*s**2 + p*s**4 + r + n*s**3 + c*s and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 4. Let g(j) = 1. Let a(s) = 6*s**3 + s - 1. Let i be a(1). Let v be (-7)\/((-21)\/i) - -1. Determine v*g(q) - p(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 61676117034240?\nAnswer: -61676117034242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/21 - (-11391408)\/98 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 9:07 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(567))**2*1 - ((-1 + sqrt(448))*5)**2.\nAnswer: -10660 + 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 7) + 4*(-1)\/(-2). Let o = 15 - 10. Let n = j + o. Solve n = 3*d - 1 - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351 (base 9) to base 13\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 13. Let f be b\/14 - (-16)\/(-42). Is f bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i. Suppose 0*a = 5*a - 460. Let c be a\/28 - 2\/7. Solve i = z - c - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (0 + 4 - 2). Sort -5, d, 0.\nAnswer: -5, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1045\/(-242) + 3 + 2. Does o = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - v - 2. Suppose 3*c - 7 = -1. Suppose -h - 5*y = -2, h - 2 = c*y - 3*y. Let d be p(h). Solve d = a + 5, 0 = m + a + 3 + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/3 + 268*i**2\/3 + i\/3 - 268\/3 = 0.\nAnswer: -1, 1, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/15 and -15\/1051546.\nAnswer: 15773190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15196806 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020190002 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -35 + 55 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 0.1, -2.51, 80, 23\/7, 0, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = 2*p. Suppose 5*w - 679 = -659. Solve n - w = -p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-7 - 1) + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 89892, 181975, 274058, 366141?\n\"Answer: 92083*s - 2191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*z - 6*z**2 - 3*z**4 + 154*z - z**4 + 2*z**4 - 2*z**3 to d*z**2 + b*z**3 + m*z + a*z**4 + i and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(0 + 12\/40). Let v = 2.1 - 0.1. Which is the closest to 0.2? (a) y (b) v (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 931093217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**3\/5 + 1274*w**2\/5 - 212849*w\/5 - 214124\/5 = 0.\nAnswer: -1, 199, 1076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 21 = 2*l, 5*f = 2*f - 3*l + 18. Suppose 0 = j + 4, -q + j - 128 = -5*q. Calculate the greatest common divisor of f and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 62*j**2 + 7*j - 690. Give w(28).\nAnswer: 4210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56068157 and 28384.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -11. Suppose -44 = -z*p + 2*p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 - 2) + 0 - (15 + 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h - 4*h)*(3 - 3 + 2*h**2) + 2*h**3 + h**3 - 4*h**3 - 3*h**3 + 4*h**3 + 0*h**3 + (-2*h + 0*h - 4*h)*(36 - 36 - 26*h**2).\nAnswer: 152*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23256778.\nAnswer: 2, 73, 159293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 37 = u + 12, -r + 32*u + 1 = -3*r - 5 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 16*g**2 - 18*g + 24. Let k be f(17). Let u(z) = -2 + 12*z - k*z - 9*z + 1. Calculate u(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*i - 68, 4*g + 3*i - i - 312 = 0. What is the greatest common factor of g and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750288096 to the power of 1\/2, to the nearest integer?\nAnswer: 41836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37062524*b**2 - 20410817*b wrt b.\nAnswer: -74125048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7510.01 grams to kilograms.\nAnswer: 7.51001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -221059315*g**3 + 3117*g**2 + 5052 wrt g?\nAnswer: -1326355890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, -1.4, 43, -26 in ascending order.\nAnswer: -26, -1.4, 0.1, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 62*l**3\/27 + 73*l**2\/9 + 28*l\/3 - 1202. Factor t(r).\nAnswer: 2*(r + 1)*(31*r + 42)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - 35\/3. Let z = 22 + o. What is the remainder when 28 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644536 divided by 63?\nAnswer: 644536\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3514120 rounded to the nearest 10000?\nAnswer: 3510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 + i**2 + 2*i + 1. Let q be j(-1). Suppose q*x = -x. Solve x*a + 3 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*r - 28*r = 968 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + k = -7, -5*k = -v + 6 - 11. Suppose 539 = 3*g + h + 3*h, 5*h = v. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 9 + 7 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -708900 divided by 12.\nAnswer: -59075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 193*a. Let k(f) = 8*f**2. Calculate g(k(w)).\nAnswer: 1544*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t + 4*t - 7*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -2. Suppose -10*y + 21 = -m*y. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**4 - 2*g**3 - 5*g**2 - 21. Let f(x) = -7*x**4 + 3*x**3 + 6*x**2 + 22. Let u(m) = -2*f(m) - 3*o(m). What is the first derivative of u(t) wrt t?\nAnswer: -40*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -540025?\nAnswer: -540023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f - 2. Suppose -21*c - 132 = -6. Let u(x) = -4*x - 2. Let m(v) = 2*v - 1. Let j be m(3). Calculate c*u(w) + j*p(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 3, -44, -6, 6.\nAnswer: -44, -6, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 83368*r**2\/9 - 868777928*r\/9.\nAnswer: -2*r*(r + 20842)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 66. Suppose -3*m - 5*g + 318 = 0, 3*m - 145 = -i*g + 179. Let z = 297 - m. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (9 - (-2 + 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 4*h**2 + h**2)*(-37 - 4 - 16 + 60 - 3 + 707*h).\nAnswer: 707*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 643, 634, 627, 622, 619?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - -1.45. Let k = z + -1. Let r = 6 - 4. Sort r, 0.3, k in ascending order.\nAnswer: 0.3, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (124\/4)\/(3\/6). Let w = 129 - q. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64.6 and 0.4.\nAnswer: 25.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*s + 24 - 63 = 0, 2*s = 8. What is the nearest to 1\/6 in 0.2, -1, j, 1\/406?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21095 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 891 - 976 = 0. Solve -10*l = u + 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**6\/180 + q**4 - 14*q. Let t(v) be the third derivative of u(v). Let p(w) = -2*w**2. Give p(t(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 12:47 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -7\/80.\nAnswer: -7\/80, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4679?\nAnswer: 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4))**(-10) assuming n is positive.\nAnswer: n**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 39*r**2 + 31*r**2 - 4 - 7 - 15 + 41.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112674122 to the nearest integer?\nAnswer: 10615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3\/3 - i**2\/2 - i + 1. Let r(u) = 2*u**2 - u - 1. Suppose 0*o - 31 = o. Let h = o + 32. What is h*r(k) - w(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/546)\/((-3054)\/(-85512)).\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -6333?\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 849 divide 8907862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 13 = 4*q - 17, 4*q = 5*m - 41 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-four fifths of a meter?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22599*o + 67009 + 23307*o - 67009.\nAnswer: 708*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -7\/18*r**3 - 1\/72*r**4 + 7\/180*r**5 + 0 + 59*r + 2*r**2 + 1\/360*r**6. Factor m(p).\nAnswer: (p - 1)*(p + 1)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(33)\/sqrt(3)) + (sqrt(10)\/sqrt(2))**2 + 0.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1141 + -812. Let z = 9408 + -9404. What is the lowest common multiple of n and z?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/7 + 176*f**3\/7 + 1294*f**2\/7 + 160*f = 0. What is f?\nAnswer: -80, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 - 2*j - 1. Let z(q) = q**2 - q - 1. Let k(s) = n(s) - 2*z(s). Let g(i) = i**2 + 96*i - 2053. Let u be g(-114). Determine k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 850*x - 8504. Determine i(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -68962*i**2. Let b(u) = -2*u. Determine a(b(l)).\nAnswer: -275848*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -32, -20, 12, 70, 160?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 313*h**6\/120 + 29*h**5\/5 + 5*h**2 + 41*h. What is the third derivative of w(z) wrt z?\nAnswer: 1878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 39*i**2 - 272*i + 95. Let p be f(45). Solve 5*w + 17 = -m + 2*w, 5*m + p = w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 4*i**7\/21 - 2*i**6\/5 + i**5\/5 - 5*i. Solve l(y) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**2\/2 + 10*r + 1. Suppose 6 = -2*c + c. List the prime factors of b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12364049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - -0.1. Let q = 0.2 - w. Let u = 28\/75 + 2\/75. What is the closest to q in -1, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4 = 3*p, -2 = 2*p - 4*p - q. Suppose -19 = -5*s - p*t + 2, 3*t + 6 = 5*s. Let x be 7 + -1 + -3 - 0. Solve s*z + 6 = -x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n**2 - 51*n**2 + 25*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -15\/29 (c) 1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 644 and 4086180.\nAnswer: 4086180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*n**4\/11 + 42270*n**3 + 2357184*n**2\/11 - 2622970*n\/11 - 199212\/11 = 0. What is n?\nAnswer: -16601, -6, -1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 2*d - 5*j - 158, 2*j = -2*d + 88. Let g = -8 - -29. What is the greatest common factor of d and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 51. Let f = x - -57. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 11*f**2 - 9*f + 3. Let l be (-21)\/(-9) - (-1)\/(-3). Suppose 4*z = l*z + 8. What is the units digit of r(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9312 - -24222. Is 105 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3 + 4 - 2*w)*(-2 + 5 + 2*w - 4).\nAnswer: -2*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 18. Let m(q) = q**2 - q + 4. Let k = -2936 + 3002. Calculate the remainder when k is divided by m(u).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*sqrt(84)*-1)\/(-2*sqrt(1728)))**2.\nAnswer: 7\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/4 (b) -0.01 (c) -3839 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 4116401?\nAnswer: -4116377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(299*k**2 + 22 - 22 - 2556*k**2)*(15 + 5*k - 3*k - 11).\nAnswer: -4514*k**3 - 9028*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -4*s + k + 77, 0 = -6*s - 3*k + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*n - 4*o + 17, 3*o - 3 = 0. Let m(s) = 3*s**2 + 1 - 6*s + 0 + 0 + 7. What is the remainder when m(n) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -63*b**2. Let l be t(2). Let n = -171 - l. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 7) in base 13?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + c - 443, 2*l + 877 = 4*l - c. Let b = l + -418. Calculate the remainder when 37 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2650)\/(-45) + 2\/18 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*z + 98*z - 4*f + 8 = 0, 0 = -z + 3*f - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 9:17 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34934 + 34672. Are l and -285 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqqq when four letters picked without replacement from {b: 2, q: 5, c: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241 - 10114110424?\nAnswer: -10114110133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqv when four letters picked without replacement from {v: 2, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*c + 30 - 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c - 4. Let i(f) = f**3 + 5*f**2 - 5*f + 4. Let j be i(-6). Let d be p(j). Which is greater: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729 - 247 + 958 = -240*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16674581 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3171 - 3206 - (1 + -2 + 0 + 0 + -2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-280)\/(-40))\/(63\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 5, 2, -5, -16, -31, -50?\n\"Answer: -2*t**2 + 7*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 320065 - 943024\/3. Let q = p + -5649. Suppose -392*v**2 + 2744\/3*v**3 - 2401\/3*v**4 - 16\/3 + q*v = 0. Calculate v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 8*i + 4. List the prime factors of p(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -60*r**5\/7 - 206*r**4\/7 - 48*r**3\/7 + 86*r**2\/7 - 12*r\/7 = 0.\nAnswer: -3, -1, 0, 1\/6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.55 - -30.45. Let x = -36 + c. What is the closest to -0.1 in x, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urnnahuc. Give prob of picking 1 h and 1 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/15 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -109050b7 + 5?\nAnswer: -109050b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 39 - 39 + 34*r. Let w(l) = -l. Determine w(s(z)).\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111421084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/11 (b) -3 (c) 0.2 (d) -0.3 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 13 - (-5 + 13 + -12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 2 + k - 3)*(k - 8*k + 16*k) to the form g + m*k + a*k**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**2)**48)**44\/(s**(-5\/6)*s**(-6)\/s*s\/(s\/(s\/(s*(s**(-2\/5)*s)\/s*s*s)*s))*(s\/s**(2\/7))\/s) assuming s is positive.\nAnswer: s**(1332391\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-18))\/8*4*6*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299401 is divided by 149328?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 11, r: 2}. Give prob of picking 2 b.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/3)\/1*679\/(-1358).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 192955466?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -6*o + o - 4*m, 22 = o - m. Suppose 4*u - o = -v - v, -5*v - 5*u = -45. Suppose -3*k - 60 = -v*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 3)\/10*(-12)\/(-18). Let y = 1 + 0. Which is the closest to y? (a) f (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1263? (a) -1 (b) 2568 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - -9 - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 1637280737.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 602771142*l**2 - 542626126?\nAnswer: 1205542284*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*v + 2 + (-2 + 35 + 1)*(-3*v + 7*v - v) to the form k*v + s and give k.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*l - 383 = 0, 0 = 2*o + 4*l - 0*l + 390. Let q be (-30)\/(-70) + o\/(-7). Is 28 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99787, -100810, -101833?\nAnswer: -102856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -18*n**2 + 4261. Let k(j) = 68*j**2. Calculate v(k(t)).\nAnswer: -2448*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 160 and -4016909?\nAnswer: -642705440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = -p. Let h(m) be the first derivative of m**4\/4 + 7*m**3\/3 + 7*m**2\/2 + 7*m + 1. Let t be h(p). Solve -r + 5*w - 8 = 0, -7 = -3*w - t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31946271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/10170258 and -67\/103155474?\nAnswer: 722088318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169112 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2789.\nAnswer: 5\/2789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-3 - (-34)\/(-4)). Let g = -1 - u. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5, -54 = 4*l + 5*w + 15. Let r = -14 - l. Is r\/(3 + (-1416)\/471) 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 5189?\nAnswer: 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.89 + 0.39. Which is smaller: p or 17\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128514 by -126.\nAnswer: 21419\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w - 58*w = -14. Solve -1 + 9 = -2*b, -7 = 3*x - w*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(3)*-1 - (sqrt(300) + 0))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krpkrrkpkrpkrp. Give prob of picking 1 r, 1 p, and 1 k.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + sqrt(72) - sqrt(72)) + -4 + sqrt(72) + 2)**2.\nAnswer: -24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 1 = -7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 418 - o - 860 + 442. Let b(c) = -546*c**2. Calculate t(b(i)).\nAnswer: 546*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-7 - -5)*(-62)\/(-4). Let q = -92 - c. Which is smaller: q or 22\/21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11275 divided by 25.\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4011.5 and -0.1.\nAnswer: 401.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 17. Suppose -62*r = -28*r - 374. Give y(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 120*c - 814. Give u(-7).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - 1 + 1)*(1 + 1 + 1)*(-14*l**2 + 18*l**2 - 55*l**2)*(6 - 16 - 9) to the form m*l + o + g*l**2 + s*l**3 and give s.\nAnswer: -5814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5495241607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71, -89, -97, -89, -59, -1, 91, 223?\n\"Answer: w**3 - w**2 - 22*w - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22381+-0.008\nAnswer: -22381.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 5) to base 16\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138258, 138247, 138230, 138207, 138178, 138143?\nAnswer: 138102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + sqrt(405)*5)**2 - (4 + (sqrt(405) + 4)**2)).\nAnswer: -38816 - 432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10001 + 12012031011?\nAnswer: 12012101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218037 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553258 is divided by 851083.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(((o\/o**(2\/23))\/o)\/o))*o)**32\/((o\/(o*o*o**18))\/(o**(2\/3)\/o)) assuming o is positive.\nAnswer: o**(1096\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 - -16 - (138 + -170).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let x(s) = -655*s + 25. Let b(q) = 3*q + 1. Let y(p) = 25*b(p) - x(p). Give h(y(i)).\nAnswer: -730*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7398*s**3 - 4*s**2 + 28*s. Let w(m) = -75296845*m**3 - 40711*m**2 + 284977*m. Determine -40711*l(p) + 4*w(p).\nAnswer: -7402*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1113 and 2272587.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/96 and -73\/8.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 120*w**2 + w. Let l(v) = 4*v**2. Calculate r(l(a)).\nAnswer: 1920*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 13*d = 261. Suppose -2 - 1 = 3*n - 3*k, 5 = -n + 3*k. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llqlllqlhqqqqq. Give prob of picking 4 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - y = 48 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 22273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2 + 375*u + 164051. What is x(-161)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.064? (a) 2\/5 (b) 0.5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*s = 148*s + 516. What is the highest common factor of 5547 and s?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 752 = -3*n + 1302, -4*n + 2730 = 3*v. Does 14 divide (10\/(-15))\/((-8)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1\/14 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-3) + 2)\/(-1). Suppose -r = -u - 0. Suppose -r*h + p - 6*p = -70, h = -5*p + 25. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 bigger than 7842\/221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*y**3 + 603*y**3 - 305*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1839\/5 - 369. Let k be 1 - (2\/8 - 0). Let i = -21083 - -21085. Which is the nearest to i? (a) q (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, 1, -5, -2\/87?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001204711503 rounded to six dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25708, -25165, -24624, -24085?\n\"Answer: -n**2 + 546*n - 26253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0 = -8. Suppose 3*r + 6 = -3*u, -4*u = 2*r - 3*u. Let g(m) = r*m + 0 + 1 - m. Determine g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 4*f**2 + f - 2. Let i be a(4). Suppose 5*j + 3*w - 5 = 6*j, 3*j - 9 = 3*w. What is the fourth biggest value in i, -1\/5, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 17 + 55*w + 51*w + 56*w - 155*w. Calculate d(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 161*o + 0*o**4 - 160*o - 1 + o**3 as x*o**2 + p + k*o + y*o**3 + n*o**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1206 and 56\/603.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/37 bigger than -370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-25) + (-23)\/(-5) - 21. Let m(v) = -144*v - 109. Is m(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 8)*(-v + v - 2*v)*(-238*v + 236*v + 19 + 34).\nAnswer: -4*v**2 + 106*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7734120843.\nAnswer: 3, 2578040281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123710953*0.5.\nAnswer: 61855476.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*g + 30*g + 10*g + 5 - 3.\nAnswer: 82*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(13\/6)\/(l*l**(10\/3)) assuming l is positive.\nAnswer: l**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -9 (b) 0.06 (c) 1 (d) -43 (e) -0.5 (f) 170\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5)*-1*2 - (-5 + 5*sqrt(20)).\nAnswer: -12*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by (5\/2 + -2)*58?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/((m*m*m\/m**(2\/19))\/m)*m)**(7\/6)\/(m\/(m*m**11)*m**(2\/21)) assuming m is positive.\nAnswer: m**(1777\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10809527 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 8. Which is smaller: 4\/5 or a?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 9:34 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31432 - 11?\nAnswer: -31443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 875*y**3 - 48*y**2 - 5*y - 18. Let t(j) = -877*j**3 + 51*j**2 + 6*j + 18. Let k(r) = 6*a(r) + 5*t(r). What is the third derivative of k(z) wrt z?\nAnswer: 5190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -11013051215?\nAnswer: 11013051212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -2120?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 14606465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 2*d + 1. Let z be p(-2). Which is the third smallest value? (a) z (b) 6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 (base 8) in base 14?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 56) + 20 + 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1131413 at most as big as -0.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -111 - -126.4. Let d = 2.1 - g. Round d to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 10*u**2 + 8*u + 12. Let x be k(9). Let i be -1 - (-1)\/(-2 + x). Which is smaller: 4\/27 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s + 49 = 3*k + 29*s, 101*k = 106*k - 2*s - 55 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -d + 6, r = -d - 0*r. Suppose 10 = 4*o - 3*k, 5*o = -4*k - 1 - d. Suppose 2*l = -o + 9. Calculate the remainder when 6 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -11. Let c(s) = 7*s + 114. Let x(y) = y**3 + 2*y**2 + 6*y + 11. Let i be x(-3). Let d be c(i). Sort p, d, 5 in decreasing order.\nAnswer: 5, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415 (base 7) to base 13\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8065242 by 26357.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(-3 + (sqrt(5) + sqrt(5)*-1)**2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*x + x + 2*x)*(-116 - 22 - 15) - 2*x + 6*x - 2*x)*(-2*x**3 - x + x) in the form y + r*x**4 + j*x**2 + l*x + q*x**3 and give r.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 90667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -3*v. Suppose -a = -m - 4, -v*m - 4 = -3*m - 3*a. Let i = 2 - m. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.669155 and -5.\nAnswer: 73.345775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1863 - 1834. What is the remainder when 289 is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**3\/3 - 10*i**2 - i - 77. Determine j(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 4*j**2 + 1. Let x = 10 + -14. Let t be g(x). Let n(m) = -m**2. Let c be n(t). Which is smaller: -3\/19 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*u - 5 + 5 - 22*u.\nAnswer: -82*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-334)\/(-7515))\/(1\/171))\/(23\/(-230))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -2*l. Let t = 5 + l. Solve 0 = -5*v + t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2. Let m(v) = 153*v + 9 - 312*v + 155*v + 4. Calculate i(m(f)).\nAnswer: -32*f**2 + 208*f - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3*u = 9. Let c be 7 - (u - -2) - 2. Suppose c*f - 2*f = 216. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -15, -2, -5, -1, 41, 185 in descending order.\nAnswer: 185, 41, -1, -2, -5, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**2 + 9*k**2 + 9*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 29. Let d = -6 - b. What is the second derivative of -3*p - d*p + 2*p**3 - p + 5*p wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-613266)\/(-36) - 2\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001110 - -1011110101110011100?\nAnswer: 1011110110101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38459 is divided by 52.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1)\/(-2)*2*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o**3 + 13373*o**2 - 13373*o**2 + 14*o)*(2*o - 6*o + 3*o) - 3*o**4 + 7*o**4 - 22*o**4 to the form k*o + p*o**4 + c*o**2 + q + d*o**3 and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.079435 to 4 decimal places.\nAnswer: 0.0794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + -3 - (30 - (6 + 19))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-560)\/42)\/(1\/(-6)). What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*m - 5, s - 2*m = -14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3173 = -0*y + 5*r, 3*r + 5283 = 5*y. What is the lowest common multiple of 72 and y?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3241792.81 rounded to the nearest one thousand?\nAnswer: -3242000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67452 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 1 - 1)*(3*m - m - 4*m + (-m + 5*m + 0*m)*(2 + 0 - 3)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5.816+-0.4\nAnswer: 5.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 129918af?\nAnswer: 129918b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0*o + 1\/6*o**3 - 3\/4*o**4 + 0 + 7\/10*o**5 + 4*o**2. What is the second derivative of b(f) wrt f?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-295 - (98 - 437)) + 1 + -116\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/7 + 4566204*q\/7 + 4566201\/7.\nAnswer: 3*(q + 1)*(q + 1522067)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 13 = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1308, 1307, 1306, 1305, 1304, 1303?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -468 by -36.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.85 - 0.25. Let u = -19.9 + 19.45. Let s = u - -0.05. What is the second biggest value in w, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/144*42\/(-70) + 97\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 316, 393, 542, 787, 1152, 1661, 2338?\nAnswer: 3207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -38, 2, -21, 12 in decreasing order.\nAnswer: 12, 2, -21, -38, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 445744 - 74?\nAnswer: 445650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1042248 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/14)\/((-2)\/(-4)). Let o be -4 + 77 + t + 0. What is the highest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 13. What is the greatest common factor of 99 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -443, 0.3, 1\/5 in decreasing order.\nAnswer: 0.3, 1\/5, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(3*b - 2*b + 0*b) + 25*b - 3 - 23*b + 10.\nAnswer: 3*b + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r + 1. Let a = 4 + r. Is 1*0\/a + 10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19431 divided by -9?\nAnswer: -2159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23191 or -22253?\nAnswer: -22253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1957 and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -311101?\nAnswer: -311040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 + 123*o**2 + 503*o - 27361. Determine r(62).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*j + 17, -4*g - 4*j + 32 = -g. Solve 2*s = -3*o + 6, -2*s + 2 + g = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, 0.3, -1\/2, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5989 - -35935\/6. Let g(o) be the second derivative of 0 + 4\/5*o**5 + 0*o**2 - 14*o + t*o**3 + 0*o**4. Find the second derivative of g(j) wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 4*r - 33, a - 37*r = -17*r - 23*r for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 40. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -j + 5, -5*s + j + 9 = 14. Solve -2*x + 7*x = s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*h**3 + b**2*h*i - 282*b**2*i*m + 7*b*h**2*m - 2*h**3 + h*m + 2*i wrt b.\nAnswer: 2*h**3 + 2*h*i - 564*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8832 - 16937.\nAnswer: -16933.1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15795 - 78973\/5. Put -5, 0.05, 0.06, a, -8 in descending order.\nAnswer: a, 0.06, 0.05, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 61. Let w = -26.06 + z. Round w to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/6 - 35*t**2 - 2292*t - 22176.\nAnswer: (t - 264)*(t + 12)*(t + 42)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -3 (c) -0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*j + 192*j - 5 - 386*j + 5.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-16)\/(-12)*9\/36?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3 + 9*r**2 + 496*r + 2436 = 0.\nAnswer: -14, -6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/6*(-12)\/(-2). Suppose 10 = 2*w - h, 0 = -4*w - 5*h + h + u. Calculate the greatest common factor of 15 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 122\/(-18) - (-8)\/(-36). Let p(a) = 7828579*a + 53. Let n be p(m). Round n to the nearest one million.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -217 - -219. Suppose -f = j - 3*j + d, 4*j = 0. Which is the closest to 0? (a) 5 (b) 30 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37306 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4 - 25774*u**3 - 515128*u**2 - 1235616*u + 14834304 = 0.\nAnswer: -25754, -12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725691 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q - 26. Let x be w(-4). Let k(t) = -5*t**x - 11*t**2 + 12*t**2. Let i(m) = 14*m. What is i(k(f))?\nAnswer: -56*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a - 8090 + 8074 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 2) + 7 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.14872 - 193\nAnswer: -193.14872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 22 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7013 - -6990. Let p(f) = -5*f - 92. What is p(u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 0 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/9)\/(k*(k**(-3)*k)\/k))**(-25))**21 assuming k is positive.\nAnswer: k**(-2800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6222517km to meters.\nAnswer: 622.2517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*y + 60, 2*y - 1 = 1. Suppose 2*a + l - 86 = 0. Suppose -a*r + 810 = -26*r. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/12 - 30\/360. Which is the nearest to -2\/17? (a) f (b) 2\/9 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 522.13 - 527. Let z = v + -0.13. Let d = z + 5. Which is the smallest value? (a) 4 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x + 28577 = 469*x + 6137 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 13 - 4)*(2 - 2*j - 2) to the form c*j + o and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x)*((3 + 3 - 4)*(-2 + 2 + 1) - 3 - 1 + 1)*(77*x - 48*x - 43*x) + 0 + x**2 + 0.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 - 7*f + 14. Let w be o(-4). Is w equal to -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2200 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1260 + -1230. Suppose -27*h + y = -159. Let o = -0.5 - -1. Sort 2\/9, o, h.\nAnswer: 2\/9, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 20*t + 2804. Let d(o) = -10*o - 1351. What is 5*d(m) + 2*u(m)?\nAnswer: -10*m - 1147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 30 = -48*i + 53*i, 20 = -4*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -594798 take away -80?\nAnswer: -594718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -4\/5, 12 in decreasing order.\nAnswer: 12, -2\/15, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2951279 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(7) + 4)**2*-4.\nAnswer: -368 + 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 2:28 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -1. Let d = m + 0.1. Let a = 0.12 + 0.38. What is the nearest to 1 in a, 0.3, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -27b2?\nAnswer: 27b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 48 - (1 - (1 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m - 3*m - m + 3*m in the form h*m + j and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(3465\/1232)*(-15)\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 33 = x. Let z = 60 + x. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 4*f**2 - 4 + 2*f - 3*f**2. Let d = 6 + 0. What is the remainder when p(d) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19243 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2344754 divided by -29.\nAnswer: -2344754\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -120*(399\/7)\/(15\/(-2))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.14 + -29.04. What is i rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 + 0 = 0. Let z(g) = -70*g**2 - g + 69*g**2 + 7*g + h. Give z(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3 + 3)*(18 + 4 - 49)*(l**3 + 5*l**3 - 4*l**3).\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-8)\/220*(-35)\/7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (442*z**3 - 442*z**3 + 56*z**4)*(9 - 77 - 216).\nAnswer: -15904*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*y + 43 = 0, -33*d - 4*y - 16 = -31*d. Let j(q) = 27*q + 297. Let k be j(d). Is -76 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 5701640?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*z - 3*z. Let d = 14 + -10. What is r in 2*r - r**d - r**z + r**2 + 0*r**4 - r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631551375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 735 - 741. Sort -3, x, 0.\nAnswer: x, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7 - 2*m**2 + 7 - 2 - 11*m - 13. Let n be d(-5). Let z = 5 - -1. Solve 5*w + 3*q - 20 = 0, z*w = 3*w + n*q - 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 greater than or equal to 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 0.3. Let r = h + -0.2. Let z = -308 + 308.4. Put r, z, 4\/3 in decreasing order.\nAnswer: 4\/3, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at most as big as -129754\/7649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 407 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5\/2 + 1200*x**4 - 2425*x**3\/2 - 4800*x**2 + 4810*x = 0.\nAnswer: -481, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 6 + (-14 - -3) + 16 + -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29140 and 846940?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 - 5*m + 3. Let x be r(5). Solve x*h + 0*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 0.12.\nAnswer: -12.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157 + 237. Let p = d + -56. Suppose -u + p = u. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 21*c - 20*c - 9 - 19*c + 8. Let z(w) = -8*w**2. What is k(z(v))?\nAnswer: 144*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 10, 26, 60, 118, 206, 330, 496?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 8*i**2 - 7*i - 13. Let z be v(9). Let s be 3\/z - 231\/(-15). Let l be ((-1)\/2)\/(1\/(-96)). Calculate the greatest common factor of s and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 6. Suppose 4*n = d - 10, 2*d - 4*d = 2*n. Suppose -d*w - 36 = 2*w. Does 18 divide r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4046.623 minutes to seconds.\nAnswer: 242797.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/5, -8805, 0.02, -0.5 in descending order.\nAnswer: 0.02, -0.5, -13\/5, -8805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3548\/35 or 1390?\nAnswer: 3548\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let a be 4*2\/48 + (-46)\/(-12). Let n(y) = -4*y + 4. Let x(b) = 4*b - 3. Let u(f) = a*x(f) + 3*n(f). Calculate u(w(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*p - 62 + 161, -4*b = 3*p - 118. Solve 3*c - 11*n + b = -16*n, -c - 4*n - 22 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 9 = -2*l + l, 2*l + 2 = 0. Let v = 27 - 8. Let g = 5 - 3. Solve 6*x + v = -z + x, 7 = g*z - m*x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4896546 or 4896547?\nAnswer: 4896547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24771, -24758, -24737, -24708, -24671, -24626, -24573?\n\"Answer: 4*k**2 + k - 24776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 = 5*c - 0, 26 = 5*p - 3*c. Let a be p\/(-6) - 92\/(-12). Let w = a - -4. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -11, 24, 89, 190, 333?\n\"Answer: d**3 + 6*d**2 - 14*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -4.88.\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2 + sqrt(700) + sqrt(700)))**2 + 5 + 0 + (-4 + -4 + sqrt(700) + (sqrt(700) - sqrt(700)*-1*-4))**2)*-1.\nAnswer: -5673 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-109 - -151 - 116) + -12\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2118 - 1059 - 3*p - 1051 + 100*p**2 wrt p?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251439.\nAnswer: 7, 31, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczzzpzpccc. Give prob of sequence zc.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 2*n + 40, -114399*v + 114404*v + 3*n = 73 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 6 + 12)*(9*z + 50 - 50)*(3*z - 3*z**2 - 4*z**4 + 3*z**2) - 5*z**5 + 3*z**5 + 4*z**5.\nAnswer: -286*z**5 + 216*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -324 (base 7) to base 13\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/327916 and -29\/4.\nAnswer: 327916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3.9 (b) -0.3 (c) 0.4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 222 = -4*p + 53, 0 = 2*p - y + 95. Let z = p + 44. Are z and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 417\/1946*((-935)\/120)\/(-17)*28?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90788417 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, 5\/3, 20, -330?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25593774 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 47935317 times 0.07\nAnswer: 3355472.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -46237*m + 370106. Calculate k(8).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 22*a**3 + 3*a - 2. Suppose 4*b - 6*b + 80 = -2*g, -2*g = -3*b + 125. Calculate the remainder when b is divided by u(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h + 2*h)*(-184*h**3 + 108*h**3 + 496 + 79*h**3 - 2*h).\nAnswer: -3*h**4 + 2*h**2 - 496*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 80*s**3 + 858*s**2 + 836*s - 5776.\nAnswer: 2*(s - 2)*(s + 4)*(s + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503687.\nAnswer: 101, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {u: 4, z: 10, c: 2, p: 3}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -l - 2*l. Suppose 5*p - 3*b - l = -4*b, b + 21 = 3*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 + 34*p**2 + p - 12. Determine q(-17).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294 (base 10) in base 2?\nAnswer: 10100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -59, -48, -1, 94, 249, 476, 787?\n\"Answer: 2*l**3 - 27*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 3*k - 4. Let u be r(7). Is 62 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4295?\nAnswer: 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19 and -29.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -490782.120294 - -490861.12. Let w = q + -79. Round w to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 3*l + 0*l + (-2 - 1 + 1)*(-4*l + 4*l + 2*l) + (0 + 3 + 0)*(-3*l - 2*l + 6*l))*(1 - 4 - 1) to c + o*l and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-28)*(-41)\/((-6150)\/240)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -1\/6, 14, 2\/7, 523 in descending order.\nAnswer: 523, 14, 4, 2\/7, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, 3\/5, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3))**1\/(h*(h*h\/((h\/h**1*h*h*h)\/h))\/h)**21 assuming h is positive.\nAnswer: h**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114096, 114095, 114094, 114093, 114092?\nAnswer: 114091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52751*p*s*z**2 + 30876*p*s*z + 7*p*s + 563*p*z**2 - 3*p wrt z.\nAnswer: -105502*p*s + 1126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21668 is divided by 2407?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1141 in 4, -0.3, -0.2, 2\/5, 0.1, 4.9?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i**2 - 6*i + 5 - 6*i + i**3 - 13. Let c be u(-12). Let g(n) = -n**3 - 8*n**2 - 4*n - 12. Is g(c) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 7ea?\nAnswer: 7e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3786, 3835, 3910, 4005, 4114, 4231?\nAnswer: 4350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 1 = 3*f - 0*z, -4*f - 3*z = -7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + sqrt(832))*-1 + (-3 + (sqrt(52)\/sqrt(4) - sqrt(13)) - (sqrt(39)\/sqrt(3) + -5)))**2.\nAnswer: -90*sqrt(13) + 5270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4)\/(n**(-3\/7)*n))**(-9\/4)*((n*n*n**(-4))\/n**(7\/4))**(-31) assuming n is positive.\nAnswer: n**(13227\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 1 + -4)*(2502 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*r**5 + 410*a**3 - 7*a*r**5 + 3*a*r**2 wrt r?\nAnswer: 60*a**3*r**2 - 420*a*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + f - 2 = 5*k, k - 6 = -3*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118197908 or -354593728\/3?\nAnswer: -118197908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9138 - 7.061. Let k = -8 - x. Round k to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 398*b + 354*b + 2227 + 2285 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 15) to base 2.\nAnswer: -1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-29)\/4*9*98\/(-12789).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = 12. Let c be (0 + 1)*(-6)\/(-16). Let s = -3921 + 3922. What is the closest to s in c, p, -4\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, -19\/2, 0.2 in increasing order.\nAnswer: -19\/2, -3, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38719 + 9*h**2 + 38719.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 591249, 591264, 591279, 591294, 591309?\nAnswer: 591324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - d - 904, 6*l + 4*d = 2*l + 924. List the prime factors of l.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -3.2. Let m = -3.4 - h. Let q = m - -0.5. Are -2 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.1 and -178251.7.\nAnswer: 552580.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*p + 42920 = 464*p. Calculate the greatest common divisor of 20942 and p.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109130.\nAnswer: 2, 5, 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2 + 8*k - 3. Let t(o) = -4*o**2 + 4*o - 2. Let w(l) = 5*t(l) - 3*v(l). Let a be w(5). Calculate the highest common factor of 36 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -430*y**5 - 21*y**3 + y**2 - 151798*y?\nAnswer: -8600*y**3 - 126*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1511*v**2 + 130*v - 259. Is 13 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2392 - 1.2485. Round k to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 449 - 1001 = -112*p + 1688. Solve -11*n = -13 - p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 - 114. Let c(g) = 6*g + 48. Let b be c(r). Solve x = 4 - b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 2*d - 5. Let h be s(6). What is the common denominator of -25\/6 and 6\/10*h\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571.25 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2029*b**5 - 2*b**3 + 102*b**2 + b + 10 wrt b.\nAnswer: 121740*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 27 - 2\/3*b**3 + 0*b**2 + 0*b. Let l(c) = -4*c. Let s(i) = -i**2 - 7*i. Let t(a) = -10*l(a) + 6*s(a). What is d(t(w))?\nAnswer: -72*w**4 - 48*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 3*t - 5. Let u be x(-4). Let v = u - -13. Solve -3*j = -k + 10, 30 = -v*k - 3*j + j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16329*f**3 + 2*f**2 + 8108*f.\nAnswer: 97974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -0.76. Let w = 4.86 + i. Let v = 10 + -14. Which is the nearest to 1\/3? (a) w (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykikkymkk. Give prob of sequence ky.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = q + 5, 4*l = -5*q - 21. Let w be l\/10*(-570)\/(-36). Let g = w - 4\/3. Sort -5, g, 2\/7 in increasing order.\nAnswer: -5, g, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12*d = -9*d + 63214, 0 = -5*x - 4*d + 79064. What is the remainder when x is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38725554*j**5 + 87731*j + 21 wrt j?\nAnswer: 774511080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 1, v: 3, y: 2, f: 3, c: 2}. Give prob of picking 1 m, 1 v, and 1 c.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-45) + (-207)\/1485. Sort 1, w, -0.3.\nAnswer: -0.3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**2\/9 - 342650*u\/9 + 214150\/9.\nAnswer: 2*(u - 21415)*(8*u - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -48273, -113 in ascending order.\nAnswer: -48273, -113, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252500.6929 + -252515. Let h = r + 14.3. What is h rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 6*m + 6*m. Let s(a) = 3*a. Give s(z(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 116 = -4*f, -2*f + 3651*k - 157 = -4*f + f + 3646*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 242537891 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1971660*b - 985885*b - 985776*b - 5.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4073?\nAnswer: 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1 - -1) + (-391 - -404)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*j**5 - 92*j**4 + 1 + 303*j**3 - 303*j**3 - 146*j + 107*j**4 wrt j?\nAnswer: -980*j**3 + 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-20))\/((-6)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3298 times -1\nAnswer: -3298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b - 154. Let u be d(-32). Let v = -49 + u. Is v a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Suppose 0 = -5*j - l*j + 25. Put j, 2\/5, 1 in decreasing order.\nAnswer: j, 1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22428 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -542.1799994 - -542.63. Let v = h + -0.45. Round v to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:14 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m - 5. Suppose -2*q + 56 = -4*d - 4*q, -4*q = 16. Let h = -18 - d. Let z(w) = 4 + 2*w - w + 0*w + 5*w. Determine h*z(u) - 5*j(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481 divided by -8.\nAnswer: 481\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5152527 and 68961.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5849\/3 + (-21)\/((-819)\/(-26))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by (-888)\/(-1221) + (-15360)\/(-55).\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182918?\nAnswer: 2, 91459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-87)\/(-29))\/(1\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - r + 1. Let j be m(1). Let l(y) = 6*y + 5. Let q(b) = b + 1. Let g = 34 + -14. Suppose -3*v = 3*c, v - c = 2*c - g. Determine j*l(z) + v*q(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 - 211 = 5*i - b, -2*i + 2*b = 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 12*d**2 - 10*d + 1\/18*d**4 - 14\/3*d**3 + 1\/90*d**6 + 3\/20*d**5 - 1. Find q such that r(q) = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = -2*o - 10, -3*s - 2*o = -62. Suppose s = 3*n - 9. Calculate the lowest common multiple of 7 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 1 + 22 = 0. Let y = -5.9 - 0.1. Let s = y - -1. Sort 0.2, s, c in descending order.\nAnswer: 0.2, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262522*n + 2*o = 262524*n + 22, 8*n - 3*n + o = -13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 0.11303?\nAnswer: -0.51303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210910 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l - 7. Let r be q(-5). Solve 0 = a - 3*c - r, a = 5*a - 4*c - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 31 - -7*(-99)\/77?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 27*v**6\/280 - 13*v**5\/35 + 23*v**4\/56 + v**3\/7 + 12*v**2 + 13*v. Find l such that x(l) = 0.\nAnswer: -2\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 + 12*j + 17. Let n be b(-8). Let c = n + -81. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 10*c**2 + 2*c - 3. What is f(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**2 + c**2 + 4*c**2. Let z(p) = p**2 - p. Let i(n) be the third derivative of 7*n**5\/30 - n**4\/2 + n**2. Let m(t) = i(t) - 12*z(t). Give m(r(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 43416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from tppnttppppppptpttt?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 57, -2, 163 in decreasing order.\nAnswer: 163, 57, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 16*z + 174. What is the remainder when n(16) is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - -2. Let d be (n\/5)\/((-12)\/80). Does 15 divide 2\/8 - 354\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -97944*n + 1273266. Give t(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -439 (c) -10 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00437 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -820 - -825. Let f be (4\/35)\/(1\/(-5)). Let l = -0.66 + 0.06. What is the closest to l in f, -4, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.12287764 and 0.01 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0 + 2\/15*p**3 + 1\/15*p**4 + 0*p + 1\/60*p**5 + 3*p**2 + 1\/600*p**6. Factor r(h).\nAnswer: (h + 1)*(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-26) + (-71)\/(-130))*(-1404)\/29484.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z - 162735 = -40083. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -34. Let y = 7\/10 + -1\/5. Which is the nearest to y? (a) -4\/9 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:59 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let o(h) = 1256*h - 152. Let y(j) = -418*j + 48. Let c(q) = -6*o(q) - 19*y(q). Calculate c(t(k)).\nAnswer: -406*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 436*a - 69440. Give z(-560).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z**2 - 1612*z - 1184 = 0 for z.\nAnswer: -8\/11, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 90.07759 millennia?\nAnswer: 90077.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 14*u - 32 = 13*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -1 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 85. Suppose 4*q + 165 = -5*g, 2*g + 38 + m = 5*q. Let v = g + 275. Calculate the remainder when v is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k - 10. Suppose -k*a - c = -4*a + 14, 2*a - 26 = 4*c. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 220 + -214. Let g(a) = 3*a - 4. Give g(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - 824b?\nAnswer: -8275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 23*t**2 - 43*t + 184. Let x be c(-24). What is the greatest common divisor of x and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118373.1398 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138618395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6790771?\nAnswer: 13, 19, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -44622\nAnswer: 2677.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -5*l - 3*q + 43, 3*l = -4*q + 29 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -j - g, 1 = -2*j - g - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -168? (a) -2 (b) -18\/115 (c) -3.59 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nynnznbbn. Give prob of picking 1 n, 1 b, and 1 y.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*s + 11 + 18, 2*s = -4*n + 70. Let c(o) = -21*o - 6. Let z(t) = -62*t - 17. Give n*c(m) - 6*z(m).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.64 and -0.4?\nAnswer: 4.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4*14\/140?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/104 - (-1853)\/8. What is the third derivative of 84*k**3 + w*k**2 - 31*k**3 - 386*k**2 wrt k?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeooooeeeoee. What is prob of sequence eeoe?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -32. Suppose 2*t + 8 = -2*o + 4*o, 0 = 3*o + 5*t - 28. What is the remainder when o\/(-5)*(-140)\/6 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + j - 5*j + (-2 + j + 2*j - 4*j)*(0 - 2 + 6).\nAnswer: -7*j - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a. Calculate the smallest common multiple of w(-5) and 2 + -2 + 20\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8032, 7746, 7312, 6730?\n\"Answer: -74*u**2 - 64*u + 8170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -104, -147, -190, -233?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 6. Let z be j(8). Suppose -4*t - f + 62 = 0, z*t + t + 2*f = 49. Let g(p) = 6*p - 1. Let v be g(t). What is v rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4739 + 6699. Suppose -26*n + 19*n + v = 0. What is the highest common divisor of n and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m. Let t be h(-6). Let u = 17 + t. Suppose 0*g - 301 = -g + i, 3*g - u*i = 903. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 7) to base 3.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196674200 divided by -5?\nAnswer: -39334840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 53*o**2 - 111*o + 51. What is r(55)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 + 0.5. Let c = -37 - 2. Let p = 39 + c. What is the biggest value in p, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdnjddnznjidzz. Give prob of sequence dj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -6)\/(-4 + 2). Suppose 4*n + 40 = 4*t, -3*t + t + 10 = 0. Let m(i) = 3*i**2 - i. Let v be m(1). Sort j, n, v.\nAnswer: n, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*k + t, -5*k = 5*t + 2 + 3. Which is the smallest value? (a) k (b) 0.06 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 2*p + 14. Let b be v(0). Suppose b = 4*q + 6. Suppose -3*a + j + 12 = q, 2*a = -2*j - 4. Solve 18 = -2*f + 5*f + 4*k, f = a*k - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/(f**(-2\/3)*f))*f)**39)**(2\/5))**(-1\/16))**(-22) assuming f is positive.\nAnswer: f**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -5*m - 37. Let s = -51 + m. Let t = s - -22. Which is the closest to 2\/5? (a) t (b) 3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 3*w + 6. Determine h(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 57*r**2 + 804*r - 187. What is c(-27)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f - 50*f - 87 = 0. Let x = -1.73 + -0.17. Let q = -0.1 + x. What is the nearest to q in f, -0.4, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -35*z + 34*z**2 + 35*z - 11*z**2 - 9*z**2. Let y(g) = 14*g + 6. Let a(k) = 2*k + 1. Let n(p) = 6*a(p) - y(p). What is x(n(c))?\nAnswer: 56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*c - 349*c + 91*c + 96*c + 71*c + 9169)*(0*c + 0*c - c).\nAnswer: c**2 - 9169*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137\/595 + 18\/595. Which is the nearest to 2? (a) -2\/21 (b) -1.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 8:27 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -38a2a (base 12) to base 7\nAnswer: -441652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/480515 and 29\/45.\nAnswer: 4324635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 11) to base 16\nAnswer: -f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -78*o**2 + 54*o + 18. Let j(v) = 22*v**2 - 15*v - 5. Let y(c) = 18*j(c) + 5*z(c). Let d(t) = -28*t**2. Give y(d(f)).\nAnswer: 4704*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -79588*r - 955072. Calculate c(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2845 divided by -514\nAnswer: 2845\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87152499221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1251450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/450)\/((-12)\/(-120)))\/((-10)\/(-3))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17552, 34746, 51938, 69128, 86316, 103502?\n\"Answer: -p**2 + 17197*p + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b, 0*i + 5*b = 5*i - 150. Suppose v + 5*a + 6 = -12, i = 5*v + a. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14828 divided by -15.\nAnswer: -14828\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 6*a**2 + 9*a**2. Let i(n) = 25*n**2. Give i(w(k)).\nAnswer: 100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (8 - (5 + 5)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17275 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -74*n**2 + 434*n + 29. What is m(6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30520 and 9592?\nAnswer: 335720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -6324.\nAnswer: 3794.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 0.4, -0.5, 0.15.\nAnswer: -0.5, 0.15, 0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -300*a**2 + 139*a**2 + 43*a**2 - 211*a**2 - 198*a**2 to u*a + l + r*a**2 and give r.\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (208\/(-24) - -8)\/(2\/(-9)). Let h = 15 + -3. What is the greatest common divisor of h and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -107 and -14?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggqq when four letters picked without replacement from {j: 6, q: 2, g: 10}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, g: 7}. What is prob of sequence ggge?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 9*n + 10. Let w be y(8). Let q be 3 - (-2 - w\/(-2)). Let k(r) be the second derivative of r**4\/12 - 5*r**3\/6 + 3*r**2 + 2*r. What is k(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v - 4*v + 5*v. Solve -3*h - 17 + 5 = v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81054 is divided by 633.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.304801, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*y - 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11310 - -15?\nAnswer: 11325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 15\/(0 + 3). Suppose 2 - n = w. Let t = w - -3. Solve t = x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -11*m**2\/2 - 2*m + 32. Let d be x(-1). Solve -3*q + 5*k = 19, d = -5*q - 4*k + k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -67. Suppose -y - d*s = 3*y - 12, 0 = 5*y - 3*s - 37. Solve 3*q + 15 = -2*g - 2*g, y*q + 4*g + 25 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 202. Let v = t + 76. Sort v, -0.3, -1\/2, -3\/2 in descending order.\nAnswer: -0.3, -1\/2, -3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 6572?\nAnswer: 6604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b - 4. Let x be i(-5). Let f(q) = -13*q**2 + 38*q + 2. Let a be f(3). Sort a, x, -2 in increasing order.\nAnswer: -2, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 248?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 435598, 435580, 435550, 435508, 435454, 435388, 435310?\n\"Answer: -6*a**2 + 435604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 297.3 to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60.8 - -60.7. Let a = -1.8 + 2. Let f = -380 - -380. What is the nearest to t in a, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/6 + 5*g**3\/6 + 2*g - 22. Let b = 7 - 2. Let v(h) = 3*h**2 - 7*h. Calculate b*v(q) + 7*r(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8 + 13 + 0*b - 13 + 6*b. What is the units digit of a(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Let k be 22\/24 - (3\/(-9) - -1). What is the nearest to k in g, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*c - 39*c**2 - 2 + 137 + 116*c**2.\nAnswer: 77*c**2 + 134*c + 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + d)*(222*d**3 + 1800*d + 1807*d - 63*d**3 - 3607*d).\nAnswer: 159*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 a, and 1 q when four letters picked without replacement from {q: 7, z: 3, j: 1, a: 3, h: 5}?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 115*f**2 - 1898*f + 593. What is x(-95)?\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26323, 52537, 78751, 104965?\nAnswer: 131179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -49, 93, 309, 587, 915, 1281, 1673, 2079?\n\"Answer: -2*b**3 + 49*b**2 + 9*b - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4514915 (base 10) to base 8\nAnswer: -21162143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in milliseconds?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55695156 is divided by 10823?\nAnswer: 10821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 10055 - 22*s**2 - 10055.\nAnswer: -22*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 107\/7?\nAnswer: 107\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 15) to base 8\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26732?\nAnswer: 2, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12056\/(-748)*2 - -32.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -20. Let u be 8 + -3 + -4*p\/(-4). Solve c - 2*m = 3*m + 1, -3 = -3*c - u*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 179099254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 2*n - 5. Let y = 39 - 34. Let p be c(y). What is the greatest common factor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -10442?\nAnswer: 10445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 12*t. Let y(z) be the second derivative of z**3\/3 - 16*z. Give i(y(d)).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27027 and 616?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + w**5 - 3*w**5 + (-2 + 6 - 2)*(-41 + 41 + 2*w**5) + (5*w**3 - 4*w**3 + w**3)*(-w + w**2 + w).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 665.6 + -750. Let i = c - -77. Let x = i - -22.1. Round x to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2047.7457 + -0.2543. Let z = 2052.201 + k. Let a = z - 0.001. What is a rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -283790.\nAnswer: 85137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124412*k**4 + 80*k**3 + k**2 - 3534250*k - 5 wrt k.\nAnswer: -1492944*k**2 + 480*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1073 plus 2.22805725?\nAnswer: 2.33535725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 1. Suppose 0 = -p - 3*l + 11, -3*p + 0*p - 9 = -z*l. Solve -5*s + 21 = -3*a, -5*s = -s - p*a - 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/(18\/8)*-42. Which is smaller: -19 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 9*h + 5. Let q be m(-9). Suppose 3*x - q = -4*o, 0*o - 2*o + x = -5. Solve o*s + 16 = -2*l, 2*l = -0*s - s - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -4. Is (-18 - z) + (2 - -1007) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18801433 at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 505*s**3 + s**2 + 143*s + 260. What is the second derivative of q(i) wrt i?\nAnswer: 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02072 to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2115372 divided by 6.\nAnswer: 352562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/2 + 107*b**2 + 5616*b - 11664 = 0 for b.\nAnswer: -108, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 2, t: 4, q: 6}. Give prob of picking 1 q and 2 l.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2660 - 14?\nAnswer: -2674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, 74, 355, 926, 1883?\n\"Answer: 16*t**3 + t**2 - 28*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzxxxzlxuxzrxrzrzr. Give prob of picking 1 z and 2 r.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -979 + 1053. Suppose -9*t = -14*t. Which is greater: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17898.\nAnswer: 2, 3, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**(-1)))*t)**(-8\/7)\/(t**(-4)\/(t*t**2\/t)))**(2\/25) assuming t is positive.\nAnswer: t**(36\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = v + 1 + 3, -2*v - 4 = 4*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57.84 + 1.16. Let h = 138 - i. Let w = 74 - h. Which is the closest to 0.1? (a) 12 (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2671*u - 104533 + 104533 to x*u + i and give x.\nAnswer: -2671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2ef (base 16) to base 6\nAnswer: -3251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 21. Let u be g(-5). Suppose 0 = u*i - 0*i - 1080. Round i to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 + 5*q**3 + q + 11*q**3 + 0*q to the form b*q**3 + a*q + g + z*q**2 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3537246.\nAnswer: 2, 3, 29, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 48. What is the third biggest value in -7, b, -0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*f**3*u**2 - 4*f**3 - 2*f*u - 1833792*u**3 - 3269037*u wrt u.\nAnswer: -154*f**3 - 11002752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*8\/10. Let r(f) be the third derivative of -f**6\/120 - f**5\/60 + f**4\/12 + f**3\/6 + 14*f**2. What is r(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -666, -1311, -1956, -2601, -3246?\n\"Answer: -645*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 11*f**6\/8 + 7*f**5 + 141*f**4\/16 - 29*f**3\/6 - 21*f**2\/2 + 2*f - 2462. Find p such that o(p) = 0.\nAnswer: -2, -1, 1\/11, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.4 - 5. Let s = -2.4 + d. Let l be (2 - 605\/297)\/(1\/(-6)). Put l, -3\/7, s in descending order.\nAnswer: l, -3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 3*d**2 + 7*d - 3. Let g be (4*5)\/((-4)\/4). Let q = 14 + g. Let r be b(q). What is the highest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -10, 16, 94, 242, 478, 820, 1286?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 - 3*i - 4. Let q be (-6 + 0)*-10*5\/(-100). What is p(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11290 + 11290 + 2015*i)*(-i**3 - i**3 + 3*i**3) + (2 + 2*i**3 - 2)*(-4*i - 1 + 1).\nAnswer: 2007*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.19 and -6673713960.4?\nAnswer: 6673713960.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99959 and 76.\nAnswer: 399836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9311 is divided by 4617?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2334858, -123, 1.\nAnswer: -2334858, -123, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01699 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -999 (b) 31.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1987084238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/16766892 and 59\/7524.\nAnswer: 184435812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o - 4. What is u(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 1:21 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(-c - 5*c + 4*c) + 0*c + 3*c - 4*c + 0 + 0 - c + 0 - c + 0 + 3048*c - 2602*c + 1947*c.\nAnswer: 2394*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8370)\/135 - (-125)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + ((sqrt(396))**2 - sqrt(11))*1 + 4.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 27*a**2 + 2*a + 1. Let f be v(-1). Calculate the highest common divisor of 130 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -526374550 divided by -26\nAnswer: 20245175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, a: 2, h: 9}. Give prob of sequence nn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*k - 6 = -3*a, -k = 5*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-149)\/((-9834)\/(-440))*(75\/(-4))\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -3*q**4\/8 + 107*q**3\/6 - 4*q**2 - 18. Let p be s(9). What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -3 + 2 + -2 - 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*g**3 - g**2 - 3*g**2 + 4*g**2.\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7239 - -13?\nAnswer: 7252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*v**4 + 2*v**3 - 86.\nAnswer: -156*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 4*j + 0*j)*(5 - 5 + 4) + (2*j - 2*j - 2*j)*(50 + 29 - 12).\nAnswer: -138*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 - 13503*k**4 + 15254832*k**3 - 136201932*k**2 = 0. Calculate k.\nAnswer: 0, 9, 2246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4351\/38 + (-3)\/6?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*j + 18 = 0, -581 = 3*u - j - 592 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.9 from 0.1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 651065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -1534?\nAnswer: 1533.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*r**2 + 49*r**2 + 56*r**2 - 70596*r + 35299*r + 35297*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -273, -272?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = r, 19 = 4*r + 3*p - 23. Sort -5, 1, r in increasing order.\nAnswer: -5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-476)\/(-20) + 1\/5. Suppose 5*c = 3*c + y. Let q(s) = -s**3 - 12*s**2 - 4*s - 18. Let d be q(-12). Calculate the highest common divisor of c and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/35 + 8\/14. Solve -1 + 4 = -2*b - i, l = -b + 2*i - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/568, 100\/3, 4 in increasing order.\nAnswer: -3\/568, 4, 100\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 0)*1*-1. Suppose v - 21 = -2*j, -4*v = -0*v - 20. Let u = j - 8. Sort u, q, 4 in decreasing order.\nAnswer: 4, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*g + 2*s, 106*s + 37 = g + 109*s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102122 - -220010201?\nAnswer: 220120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 10*o - 10. Let f be l(7). Suppose 2*i - 4*i = -4. Let s = f - i. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {y: 11, x: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.553 - -1.553000921. What is a rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95523 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 19 = 5*q. Suppose 0 + 8 = -q*o. Let n = -1 - o. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1512\/(-9))\/(-24) + 653*1. Suppose -50 = -2*t - 2*a, -2*a = -7 - 3. What is the greatest common factor of t and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/5*5\/(-2). What is the units digit of r*(-3 + 2) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*c - 12, 5*c - 1 = l - 31. Let j(h) = -1795*h**2 + h + 3586*h**2 + h**3 - 1784*h**2 + 3*h. Calculate j(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*m = -47*m - 59 - 1717 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**2 + 529*l - 119. Give n(-59).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1463288 and -77\/214737514?\nAnswer: 858950056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 200.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-197 - -126 - -104) + 8 + 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 275 - 276. Put f, -5, -0.44 in descending order.\nAnswer: -0.44, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 + (-1 - -3) - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86776327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10384)\/88)\/(-59))\/((-3)\/(-72)*3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 12390.\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4 (b) 1.37 (c) 4 (d) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 - 5. Let y = n + 1. Let s = 52434 - 262168\/5. Which is the biggest value? (a) y (b) 1\/5 (c) 3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159754030 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5253724100 rounded to the nearest 1000000?\nAnswer: -5254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2754.19981 to the nearest 10.\nAnswer: -2750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 80548870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67 + 150 + 107 + 135 + 134)*(-2*j + 2 - 2)*(-4*j**2 - 2*j**3 + 4*j**2) to v*j**4 + r*j + c + g*j**3 + u*j**2 and give v.\nAnswer: 2372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7082?\nAnswer: 2, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 2*s - 315. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 9*q + 9 = 52 - 14 + 9, -3*w - 3*q - 6 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.96 + 71.04. Let t = m + -73.82. Round t to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4496\/5 - -436082\/485. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14*i**2 + 24*i + 23. Let t(l) = -5*l**2 + 8*l + 8. Let o(r) = 17*t(r) - 6*v(r). Let a = 12 + -19. What is o(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2147145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2871 and 32043.\nAnswer: 2787741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9240 and 36960.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43569360 and 345?\nAnswer: 43569360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 94.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -1\/18*z**4 - 10\/3*z**3 - 750*z + 84 - 75*z**2. Determine q, given that o(q) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2 - 6. Suppose 3*i + 3*n + 4 - 13 = 0, -15 = -5*i - 4*n. Suppose i*q - y*q = 19. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 606?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, l: 8, k: 2}. What is prob of picking 2 f and 1 l?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47681.348 - 195756.\nAnswer: -148074.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4872.826 millimeters to micrometers.\nAnswer: 4872826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**0)**12\/(k*((k\/(((k*k**(5\/6))\/k)\/k)*k*k)\/k)\/k*k*k**(1\/2)))\/(k\/(k**(2\/7)\/k)*k*(k*k**3\/k)\/k*k)**(13\/5) assuming k is positive.\nAnswer: k**(115\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-12)*((-11)\/528)\/(5\/15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -27, -223 in descending order.\nAnswer: 2, -5, -27, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 6, -0.0525, -0.3, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1 + 4*i**2 - 2*i + 11*i**2 - i**2. Suppose -5*m + 41 = 1. Suppose -2*r - 6*f + m*f = 4, -4*r + 5*f - 11 = 0. What is a(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 559 - 69. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by 308.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/2367361 or 0?\nAnswer: -36\/2367361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or -2963?\nAnswer: -2963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152231 is divided by 576015?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 16 = 2*q. Let f be 8 + -5 - (1 - q). What is the units digit of 3 + 86\/f*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.06 (b) 5 (c) -1\/112 (d) -2\/11 (e) -2\/7 (f) -480\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 9. Let c(d) be the third derivative of -d**4\/12 - 4*d**3\/3 - 2*d**2 + 96*d. What is 4*c(h) - 3*o(h)?\nAnswer: -2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -188*x + 549. Determine b(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 773\/14 + -55. Let j = h - -47\/42. Suppose -v = -5*k - 10, -10 = -5*v + 8*k - 3*k. Which is smaller: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11\/3)*r\/(r**1*r) assuming r is positive.\nAnswer: r**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + a**2. Let u(k) = k**3 + 35*k**2 - 70*k + 34. Suppose -r = 2*b - 10 + 9, -b + r + 5 = 0. Let w(x) = b*u(x) + 6*z(x). Factor w(h).\nAnswer: -4*(h - 17)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 9*r + 11. Let c be k(-7). Sort c, 5, -2 in decreasing order.\nAnswer: 5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 - 53*l - 26. Let s be y(-13). Calculate the least common multiple of 33 and -3*(-5)\/(-15)*s.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {o: 9, e: 4, z: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10332)\/(-15) - (2\/5)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:02 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 277569 and 277491 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 2 (c) 2\/9 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1170803.153 to the nearest 100.\nAnswer: 1170800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/((-108677)\/54340 - -2). Is (-4)\/1 - y\/(-55) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8aa (base 11) in base 2?\nAnswer: 10001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26207, 27224, 28241?\n\"Answer: 1017*a + 25190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3674 = 2*b, l = -l - 3*b + 7351. Suppose 0 = 4*s - 212 - l. List the prime factors of s.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**4\/4 - 11*n**3\/3 + 6*n**2 - 8*n + 1. Let q be v(10). Let g = 30 - q. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + 4*sqrt(6)\/sqrt(2) + sqrt(24)\/(sqrt(8)*-2)) + (sqrt(6) - -2*sqrt(96))\/(sqrt(2) + sqrt(2)*1*5 + sqrt(2) + sqrt(2)))**2.\nAnswer: 363*sqrt(3) + 53139\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2393 = -5*k + 2403, f - 15 = 5*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k**3 + k + 1 + 0*k**3 + 13*k**3 - k**2. Let s = 1 + -1. Let t be g(s). Is t not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148350323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:07 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*k - 5 = 0, 4*r + 6*k + 3 = 3*k. Let q(g) = g + 1. Determine q(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163230 is divided by 179.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*n**3 + 2*n**4 - 5 + 13*n - n**2 - 79*n**3 + 2*n**2 to the form q*n**3 + a*n + i*n**2 + u + b*n**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 5*g**4\/12 + 20*g - 46. Let l(p) be the first derivative of t(p). Let c(n) = -10*n**2. What is c(l(k))?\nAnswer: -250*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -161, 0, 4, -2, 14 in decreasing order.\nAnswer: 14, 4, 0, -2, -98, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -17*v**2 - 397*v - 1037. What is d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-26 - (-3 - -2). Let c be 10\/(-60) + f\/(-6). Suppose -3 - 4 = -3*o - 2*w, c*w = 3*o - 13. Solve 0 = 7*i - o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.875717 decades?\nAnswer: 0.09875717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 509499?\nAnswer: 4075992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255640.\nAnswer: 2, 5, 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6937350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g = 15. Sort g, 6, 2 in ascending order.\nAnswer: 2, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z**2. Let o(u) = 32*u. Determine y(o(k)).\nAnswer: -13312*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -972*h**3 + h**2 + 326*h. Let w(o) = -970*o**3 + o**2 + 326*o. Let y(t) = 5*r(t) - 4*w(t). What is the third derivative of y(f) wrt f?\nAnswer: -5880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -2\/3, 0, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*491.00873.\nAnswer: -4.9100873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + 3 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1497 = 590*h - 213*h - 6398 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/18634 and -81\/1694?\nAnswer: 18634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(539)*-1*1 + -2 + 2)**2 + -1)*4.\nAnswer: 280*sqrt(11) + 2252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*15)\/(((-5)\/5)\/(40\/(-60))).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1394140 divided by 5?\nAnswer: -278828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 44144 = 22496. Does 85 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) 0.4 (c) 0.2 (d) 232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 divided by 4?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41304281 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/56*2)\/((-2)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 2798*m - 312799. Determine o(-104).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-781 - 1113*o + 1115*o + 229)*(-o + o + o**4).\nAnswer: 2*o**5 - 552*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 39. What is the second biggest value in 5, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51912 + 51904 - 16*s**2 - 48*s**2.\nAnswer: -64*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300\/(-18)*20\/(3400\/306).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54443866 is divided by 253?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.6 - -17.4. Let j = -20.9 + s. Suppose 16 = -361*q + 357*q. Put j, q, -0.1 in ascending order.\nAnswer: q, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 15*(-7)\/(-21). Let k(t) = -3*t**2 + 2*t + 2. What is k(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 65661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10099753 to the nearest integer?\nAnswer: 3178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 - -216. Suppose 0*x + p = -4*x + d, 2*p = -6. Let k(g) = -g**2 + 14*g + 6. Determine k(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 - 17*q**2 + 78*q - 2. What is h(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2\/5 - 279*b\/5 + 702 = 0.\nAnswer: 15, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*k**4*r**2 - 228*k**2*r**3 - 7377*r**3 wrt k?\nAnswer: -92*k**3*r**2 - 456*k*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**3 + 2*q**2 - 3*q - 1. Give m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (4 - 6) - 6) + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 62. Suppose -18 = j*k - 27. Let t(a) = -183 + k*a + 92 + 91. Let v(m) = -4*m. What is v(t(u))?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1001 + 5506 + 3613 = -246*h for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125321 (base 8) in base 15?\nAnswer: ce54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from bbzllbbzblzbb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9204, 4.\nAnswer: -4, 4, 9204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 201 = 371. Let p be (-46 - r)\/((-2 - -2) + -1). Factor 9\/2*i - 6*i**p - 1 + 5\/2*i**3.\nAnswer: (i - 1)**2*(5*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Let a = -5.8 + 13.7. Let u = a + -8. What is the third smallest value in i, u, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4 - 461*c**2 - 19*c**4 + 12*c**3 - 14*c**3 - 12*c**3 + 13*c**3 wrt c.\nAnswer: -480*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*f + 84. Let g(m) = -2*m + 27. Let z be g(f). Suppose -z*w = 3*w - 96. What is the greatest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 117*s**2 + 45*s + 781. Give f(58).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61\/6 - 95\/12. Find p such that 3\/2 + 3\/4*p**2 + j*p = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3545.\nAnswer: 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 4, -0.1, 0.6 in increasing order.\nAnswer: -0.1, 0, 0.6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2773472?\nAnswer: 2, 13, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*t - 3. Suppose 24 = -0*u + t*u. Calculate the remainder when 23 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + s**3 - 3*s**2)*(-2 + 0 + 0)*(3*s - 4*s + 5*s).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 - 38 = -3*a + 29 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167905019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*g - 883 - 953 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 6*h + 7. Let i(c) be the third derivative of 7*c**4\/24 - 17*c**3\/6 - 2*c**2. Let j be i(4). Is s(j) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -6 - (-1 + -1)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 5, -205, -4, 1 in descending order.\nAnswer: 5, 4, 1, 0, -4, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 57. Let x = 3 + -2.9. Let r = x - 0.1. What is the third smallest value in -0.5, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1841\/376 - 39\/8. Let k = 1051 + -1048. Are k and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d + 15 - 3*d - 10. Let t be (-3)\/(-2 + -1) + 3. Suppose 6*h - 4*h + 4 = t*l, 4*l + 10 = -5*h. Calculate u(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t\/(t*t**(-7\/3)*t))\/t)\/t**(-13)*(t*t**(-2\/5))**(-5\/16) assuming t is positive.\nAnswer: t**(727\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3078045569?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 12399920 = -3*m. Suppose -2*a - o - 495998 = 0, 2*a + 3*a + 4*o + m = 0. What is a rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -12 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2. Let l(d) be the first derivative of d**3\/2 + 8*d + 6. Let c(h) be the first derivative of l(h). What is a(c(m))?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-5)*1*(9 + -4). Suppose p*i - 111 = 5*i. Solve 8 = -5*o + i*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 507 = 3*j, 0 = 23*g - 28*g + 5*j - 835. Let v be ((-2915)\/(-212))\/((-2)\/g). What is the greatest common divisor of 105 and v?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-4))\/(-3)*512\/(-384)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -70. Calculate the remainder when m is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 581 - 581.0001674. What is a rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 8 - (11 - -1)) + 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**6\/120 - 11*r**5\/80 + r**4\/24 + 23*r**3\/6 - 15*r**2 - 7241*r. Factor m(c).\nAnswer: (c - 10)*(c - 2)**2*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9620806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*r**5 - 3*r**4 + 9493*r**3 - 3153282*r**2?\nAnswer: -2580*r**2 - 72*r + 56958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*o**4 - 139757*g + 322946*o**4 wrt o.\nAnswer: -8*g*o**3 + 1291784*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*q - 26 = 24, 3*x = q + 75. Suppose -d + x = 2*a - 7, 5*d - 3*a = 186. Suppose 3*h = -h + d. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1))**3)**(1\/84))**(1\/59) assuming n is positive.\nAnswer: n**(-1\/1652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2022\/3370)\/(22\/(-55)*3\/(-92)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288.8858 litres to millilitres.\nAnswer: 288885.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675534 is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**3 - 13*h**2 - 3*h**3 + 26 + 3*h - 13*h - h**3. Let f = -297 + 311. Calculate the remainder when x(f) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (31 + 3)) + 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 20 + 34 = 0. What is the greatest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -4, 1, -297?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 a factor of 237792702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2*c + 2*c + 119*c**2 - 126*c**2 in the form z*c + t + p*c**2 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -38 - -19 - (2 + -2 + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 2. Suppose 98*h - 4*r = 96*h - 70, 75 = -2*h - r. Let y(q) = q**3 + 7*q**2 + 2*q + 8. Let m be y(-6). Let z = m + h. Determine i(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(7))**2 + -2*(sqrt(7) + -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1340658*r**4 + 11*r**3 - 51725772?\nAnswer: -5362632*r**3 + 33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -7*k - 12*m + 9*m, 3*k = 5*m - 37 + 58 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 = -9*a + 363. Suppose a = 6*s + 81. Let r = 10 - 10.09. Sort 3, s, r, -3.\nAnswer: -3, r, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274493 divided by -6\nAnswer: 274493\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5*x**3 + 2*x**2 + 0*x**3 + 0 - 4*x**3 to d*x + u + b*x**3 + h*x**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-283 + 303 + 5*y - 6*y)*(-2 + 5 - 2).\nAnswer: -y + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (7 + -2) - 0)*-49. Let i = z + 44. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191606931.\nAnswer: 23, 787, 65831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1770*q + q**2 + 3429*q - 7242*q to y*q**2 + r*q + w and give r.\nAnswer: -5583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Let a(l) = l**2 + 42. Let k be a(c). Let p = k - 13. What is the common denominator of p and 16\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8074723 (base 9) to base 7\nAnswer: -51362145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23*158.\nAnswer: -36.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h**3 + 0*h**2 - 12*h - 9*h**2 - 3 + 9*h**3. Let s be j(-7). Sort s, 3, -2.\nAnswer: s, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 10*a**2 + 4)*(-31 + 242 - 56).\nAnswer: 1550*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(-11)\/d)\/d)\/(d*d*(d**(-30)*d)\/d) assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/7 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + g - 6*g + 2)*(2*g - 4*g**2 + 0*g**2 + 6*g**2).\nAnswer: 2*g**3 + 6*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 15. Let b be u(-13). Let h(c) = 2*c**2 + c + 2. What are the prime factors of h(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/107 and 50\/47.\nAnswer: 5029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*q + 5*j + 7, 2 = 2*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2245 divided by -939.\nAnswer: -2245\/939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 15*h + 32 - 436 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -43602?\nAnswer: 43612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -104 and 221851.\nAnswer: 221747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 144*o**3 + 327686*o**2 - 60008766 wrt o?\nAnswer: 432*o**2 + 655372*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4 - 4 + 2*y - 5 - 5. Let o be k(6). Suppose -3 = -x - 2*p, 5*x + 3*p - 9 = -p. Is o >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 12 + 7. Let o = -4 + z. Suppose -2*t - 3*t + 4 = f, -4*t = 2*f - 14. What is the lowest common multiple of f and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42883, 42882, 42881, 42880, 42879?\n\"Answer: -o + 42884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1614 and 6456?\nAnswer: 6456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(96))\/(sqrt(6) + sqrt(96) + sqrt(96)*1).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194732*c**3 + 481945*c wrt c?\nAnswer: -1168392*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 u when four letters picked without replacement from {u: 4, j: 10}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000424172348 rounded to six decimal places?\nAnswer: 0.000424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 355*c**8\/336 + c**4\/24 - 277*c**3\/6 - 12*c**2 + 22. Find the second derivative of o(z) wrt z.\nAnswer: 7100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 + 77. Let h be ((-12)\/27)\/((-3)\/u). Which is smaller: h or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -f - u + 530, 4*f - 4*u - 2056 = 0. What is the smallest common multiple of 1776 and f?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 196 - -806?\nAnswer: 9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 380909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/(1 + (-266)\/210).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -11 + 5 + 1 + 2112\/234\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3037965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/135)\/((-48)\/(-216)))\/(10\/195).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 8193631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 5)*(4*y + 2*y - 5*y) + (0 - 2 + 4)*(-2 + 2 + 2*y) - 3*y - y + 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*q**2 - q + q)*(7 - 4 - 1) + 3*q**2 - 2 + 2 as a*q + t*q**2 + n and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*i - 3404 + 813 = 6369. Calculate the lowest common multiple of (-38)\/(-6) + 4\/6 and i.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 0*v**3 + 421*v**2 + 4*v**3 - 129*v**2 + 432*v**2 + 188*v**2 = 0.\nAnswer: -228, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -4 - (-4 - -1) - (1225 - 1234)) + 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 2*u**3 + u**3 + 1 - 15*u + 6*u - 20*u.\nAnswer: -u**3 - 29*u + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -42324 (base 5) to base 11\nAnswer: -2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + v - 6465 = -3*o, v + 12927 = 2*o. Let b be 6\/27 + o\/72. Let a = 9 + 1. What is the greatest common divisor of a and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3017 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2 - 0. Let c be 2 + (1 - q - -1). Suppose -3*x + 168 = -c*y, 3*y + 144 = 3*x + 6*y. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1000*k**2 + 4753*k**2 - 948*k**2. Let r(w) = -3*w. Determine i(r(d)).\nAnswer: 43245*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6861.415 hours to seconds.\nAnswer: 24701094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + w + 9, -4*p + 2*w = -8 - 6. Suppose -3*z - 2*c + 5*c = 177, 71 = -z - 2*c. Let i be 24\/z + (-2)\/(-3). Does p = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3924596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.67 - 2.27. What is the nearest to -1 in -0.2, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 12 = -3*v - f, 23 = -v - 4*f. Does 29 divide (-58)\/(-2*v\/(-51))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 8*n + 6. Let u = 1171 - 1176. Determine f(u).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:37 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35480 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -4.1. What is the second smallest value in 2\/3, a, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10405190879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*(3*2)\/((-532)\/(-95))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g + 80 = 260. What is the lowest common multiple of g and 357?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1069*w**2 - 744*w + 741. Determine k(1).\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.014 - 1208.\nAnswer: -1207.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*t - 146*t + 6*f = 142*t, 14*t + 0*t = -4*f + 73 - 1 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 37*m + 34*m = 4, 0 = -2*c + 4*m + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = -2*x + v - 238, 0 = -4*x - 3*v + 1033. Let i = 79 + -47. What is the greatest common factor of x and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 15*j**2 - 344*j - 5219. Calculate d(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.9 and -106688.\nAnswer: -106692.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 39.42007 centimeters?\nAnswer: 394.2007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 5*w + 2*b, 2*w - 3*b + 0 = 10. Calculate the lowest common multiple of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 853*h + 968. Give l(-1).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4421 (base 6) to base 12.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.988455 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -70699 less than or equal to -70699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1526508703 to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 - 24 + 31)*(-4 + 5 - 4)*(-13 + 13 + 21*v) to the form y + f*v and give f.\nAnswer: 2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259 + 233 - 492 + 128*s**2 + 259*s**2.\nAnswer: 387*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 232 + -256. Let s be ((-32)\/i)\/(-2)*(-9)\/2. Solve 0*m = 3*m - s*h + 6, 3*m + h - 6 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c. Let d(u) = -5742*u**2. Determine d(g(k)).\nAnswer: -206712*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17568539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v - 22 + 3 + 8 - v**2. Let z be d(-14). Solve -4*b = -z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (19 - 21) + 4\/1. Suppose -2*a - 7 - 1 = 0, 2*s = g*a + 22. Suppose 43*j = 42*j + s. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/7))**(3\/38) assuming x is positive.\nAnswer: x**(-9\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372 and 90530354?\nAnswer: 543182124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24289502.\nAnswer: 2, 12144751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6683531 grams to nanograms.\nAnswer: 668353100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2. Let z be i(-6). Suppose -4*d = -z - 4. Suppose 0 = -3*t + t + d. Solve -t*p = -5 - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 893115.7 millennia?\nAnswer: 893115700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 5. Let d(v) = 12*v**2. Calculate d(t(u)).\nAnswer: 12*u**2 - 120*u + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518*n - 519*n + 3517 = 0. Calculate the remainder when n is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0587009 times -0.1?\nAnswer: -0.00587009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1 (b) 3 (c) 0.4 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -709*b - 87790. Determine u(-124).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 492 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-212412)\/36 + (-1)\/(-3). What is x rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 10*c = -0*c. Solve -s + x + 0*x + 3 = c, -3*x = 4*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000052265 to 6 dps.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79781.\nAnswer: 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from aupifud.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -243738, 3, 8?\nAnswer: -243738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1 + 6*(-7)\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867249428 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or -0.81?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/18)\/(-13)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19c0b8 (base 15) to base 6.\nAnswer: -42525145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 8*f - 5. Let z be x(-6). Let y be ((-156618)\/(-1356))\/((-3)\/(-2)). What is the greatest common factor of z and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l + 12. Let y be m(-7). What is y rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 23*q**2 - 22*q. Let o(c) = -11*c - 8. Let z be o(5). Let y = z - -85. Let w be l(y). Solve r + w = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 + 183*w - 59. Give k(-46).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o*o**(-1\/6))*o)*o**2)\/((o\/o**(-2\/5))\/o**2) assuming o is positive.\nAnswer: o**(103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3186 - -0.0484.\nAnswer: 3186.0484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*w + 85*w + 552 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6601 and 322.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 10:41 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffv when three letters picked without replacement from aibvfvvbifbb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2683?\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8*t + 5*t - 24 = 0, 0 = s - 5*t - 18. Differentiate -101 + 48 + 31*c**s + 68 with respect to c.\nAnswer: 93*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-8) + (-1)\/(-4). Let d = 0.239 - 1.239. What is the closest to d in -3, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8*z + 13*z - 6*z + (0 - 1 - 1)*(0*z - 6*z + 4*z) - 2 + 2*z + 2 in the form d + l*z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24949 and -2?\nAnswer: 49898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i**2 + 0)*(0*i + 2*i - i) + (i**2 + 3*i**2 + 3*i**2)*(-i + 2*i + 3*i) + 2*i**2 + 2*i**3 - 5*i**2 + 2*i**2.\nAnswer: 31*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/4)\/(381\/254)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**3 + 3*c + 4. Let b(d) = -3*d**3 - d**2 - 2*d - 3. Calculate 3*b(i) + 2*n(i).\nAnswer: -i**3 - 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 3*g + 19, j + 2*g - 51 = -59 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29015717*d*q**3 + 5*d*q**2 + 1817*d*q - 15*d - 59*q + 6 wrt q.\nAnswer: 174094302*d*q + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0387 - -0.2613. Let v be 2 - ((-4)\/(-12) + 8\/6). Let u = 1 - 1.1. What is the closest to -1 in d, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and -20 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = -h. Let d(z) = -2*z**2 - 27*z + 47. Let w be d(-15). Determine l, given that l**2 + 8*l**2 + 2*l - 3*l**4 - 6 + 0*l**w - 5*l + 3*l**h = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 43*r - 46*r + 9, 4*r = 12. Find u such that -1\/2*u**2 + a - u = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2832999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/516672 and -101\/7829952.\nAnswer: 1620800064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/70740 and 61\/4155.\nAnswer: 19594980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(192) + sqrt(192)) + 4 - 2*(sqrt(192) + sqrt(192)*5)*-4.\nAnswer: 3 + 400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w - 2*w + w)*((4 - 5 + 0)*(4 - 4 - 1) - 7 + 2 + 3 + 2 - 2 - 1 + (-2 + 3 + 1)*(-2 + 3 + 2) + (-4 + 1 + 1)*(-2 + 3 - 2)) as a*w + i and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8789 is divided by 1560?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(536\/(-7))*70\/147*432\/(-360).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4264 or -4247?\nAnswer: -4264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 3*m + 6, 12 = -17*x + 18*x - 5*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + r**2 + 74. Is v(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l**2 - 7. Let t be u(5). Let v = -46 + t. Suppose 2*o = -3*f + 6*o + v, -o = -2*f + 8. Solve 2*n + 12 = -f*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135517*w + 135408*w - 25 - 270910*w.\nAnswer: 15*w - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 29*z - 1. Suppose 137 = -129*m + 9 - 1. Let b(p) = -1. Give m*f(x) + 2*b(x).\nAnswer: -29*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(7*u - 26*u - 45*u)*(3 - 3 - 2) in the form i + f*u and give f.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -73, -178, -299, -442, -613, -818, -1063?\n\"Answer: -r**3 - 2*r**2 - 92*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*(-1 - -1). Let f(z) be the first derivative of z**3\/3 + z**2\/2 - 3*z - 1. Let n be f(-3). Solve -3*c + q*c = -n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -208, -419, -634, -853, -1076, -1303, -1534?\n\"Answer: -2*u**2 - 205*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 3 + 14 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80615\/3879 + -187\/9. Let b be 2\/(-39) + 46\/897. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -569660355 divided by -5\nAnswer: 113932071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/92*2*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1072, 2144, 3216, 4288, 5360?\n\"Answer: 1072*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -59. Let h = b - -9. Let z = -13 - h. What is the biggest value in -2, 1\/9, z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -147*w**5 + 798*w**4 - 243*w**3 - 348*w**2 - 60*w = 0.\nAnswer: -2\/7, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -7*h - 3. Let u(a) = 11*a + 5. Let x(z) = -11*z - 6. Let y(j) = -7*u(j) - 6*x(j). Let t be y(-1). What is the greatest common divisor of t and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 3*b**2 - 4*b**2)*(3*b**2 - 2*b**3 - 3*b**2) - 4*b + 129*b**5 + b - 2*b**4 - 127*b**5.\nAnswer: 6*b**5 - 2*b**4 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 3*q - 5. What is w(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**2 + 15*v + 14. Let n(m) = -13*m**2 - 30*m - 29. Let r(p) = -4*n(p) - 9*x(p). Let a be r(-5). Round a to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -253 + 247. Let v be 2\/(-7) - (-13)\/21. Find i such that 1\/3*i - 2\/3*i**2 - v*i**5 + 0*i**t + 2\/3*i**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 9*y**2 - 8*y - 10. Let q be v(-8). Calculate the common denominator of (-5)\/q*(-130)\/(-4) and -68\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/(175\/42) + -5. Does 30 divide (2140\/321)\/((-2)\/((-72)\/d))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144 + -1564044?\nAnswer: -1563600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*c**2\/7 - 82496*c\/7 - 7500\/7.\nAnswer: 4*(c - 1875)*(11*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21165, 21245, 21323, 21399?\nAnswer: 21473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + x + 0)*(x + 2*x - 4*x) - 53 + 53 - x**2 - 3*x**2 + 4*x**2 - 3*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 1)*(54 - 54 + 5*n**3) - 3*n**3 + 0*n**3 + 0*n**3)*(4 - 5 + 5*n - 1).\nAnswer: 10*n**4 - 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/3 - 299908*a**2 - 2699165*a\/3 - 599814 = 0.\nAnswer: -899721, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5598761 and 371.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1171214 divided by 106474.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 15*j**3 - 20*j**2 - 15*j + 20 = 0.\nAnswer: -1, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -277 - -282. What is the nearest to 0 in u, 40, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Suppose 2*w - o*q - 4 = 0, 4*w + 2*q - 1 = 7. Is ((-20)\/15)\/(w\/(-33)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1 - 1343*x**2 + 0*x + 1337*x**2 - 2 + 4 + x + x**3. Let n = -94 + 98. What is a(n)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 9*r + 2. Let v be o(-9). Let z(q) = -10 + 5*q + 0*q + q**v + 0. What is the units digit of z(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 + 2*k**2 + 6*k + 12*k - 7 - 42. What is the smallest common multiple of c(14) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a = -3572 + 3376. Sort 1, -6, 0, a, -2 in increasing order.\nAnswer: -6, a, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 12 + 1 - 3 - o**2. Let d(y) be the first derivative of -y**4\/2 - 4*y**3 + y**2 + 12*y + 17. Let q be d(-6). Calculate u(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -250 - -123. Let i = g - -134. Suppose -49 = -l - i. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - 247?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + x + 7*x)*(5*x + 14*x + 11*x + 3 - 40*x) in the form v*x**2 + m*x + a and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165 or 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*l = 19 - 81, -o - 4*l = -19. Calculate the smallest common multiple of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.562894 grams?\nAnswer: 562894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:00 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2040033120 (base 5) to base 3\nAnswer: -21221110011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -23 + (-18 - (-16 - -1) - (19 + -1))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3 + 19536*a**2 - 14670064*a + 87316224 = 0. What is a?\nAnswer: -5546, 6, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**8\/4032 - a**7\/5040 - a**6\/720 + 14*a**5\/15 + 2*a**2 + 11*a. Let i(v) be the third derivative of c(v). Calculate i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 2*s - 131*s**2 - 1.\nAnswer: -131*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 430 and 14.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * 20.3.\nAnswer: -669.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00060105 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/15 - (-34)\/10. Suppose 4*i = 4*g + 169 - 49, l*i - 127 = -3*g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1435 and 351288.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 + 15 = -7*s. Find the common denominator of -94\/15 and ((27\/6)\/3)\/(s\/(-97)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4468 - -4468.000001939. What is k rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -251 + 569. What are the prime factors of u?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1666, 3322, 4976, 6628, 8278, 9926, 11572?\nAnswer: 13216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 = -2*k + 34, -2*t + 2 = 0. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z = -12 - 220. Solve -5*y - 13 = -z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Let v(t) = 0 + h + 6 - 4*t. Is v(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -3583?\nAnswer: 3579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -19895 smaller than -19898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 728, -308, -4\/5 in decreasing order.\nAnswer: 728, -4\/5, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585975270 is divided by 7482.\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -195\/2. Let r(a) be the first derivative of q*a**3 + 3\/8*a**2 - 3\/16*a**4 + 6 - 3\/2*a. Factor r(u).\nAnswer: -3*(u - 2)*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1401976 and 71\/181290.\nAnswer: 21029640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 8734?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -555092 - 0.01.\nAnswer: -555092.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102347 is divided by 1894.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/14*(-120)\/18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*x = 1 - 4, -3*x = -w + 3. Suppose -w*v = 89 - 359. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1820\/(-104)*(8\/(-5))\/((-14)\/28)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*u - 18 = 0, 0 = 2*j + u + u + 8. Is ((-102)\/(-15))\/(j\/(-10)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4318\/5 or -865?\nAnswer: -865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 873455614 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*v - 43, 3*v = -3*y + 4 + 2. Let o(a) = -a + 6. Let m be o(y). Let n = 1346\/7 + -192. Are m and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/13835 and 43\/125800.\nAnswer: 348088600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203083\/2 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7376 = l, -2*a + 4*l + 5532 = a. What are the prime factors of a?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 80fa2 (base 16) to base 3\nAnswer: 222211200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 4*a**2 + 4*a. Let k be j(5). Let t(c) = c**3 + 16*c**2 + 12*c - 15. Let f be t(-15). Calculate the highest common factor of k and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-3))\/((-209)\/(-57) - 5).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2)*-2)\/(36\/6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f. Let a(y) = -y + 165 - 165 + 0*y. Determine a(g(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*c**4 - 5*c - 431.\nAnswer: -88*c**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - v + v)*(38 - v**2 - 38) + 10*v**5 + 63*v**2 - 63*v**2.\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 6*s**5 - 1634*s**4 + 310*s**3 + 63306*s**2 + 93164*s - 38080 = 0.\nAnswer: -5, -2, 1\/3, 7, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/336*-136)\/((-1)\/((-6)\/9))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 1, a: 1, c: 1}. What is prob of picking 1 x and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7861*j**2 + j - 2713. Let n(q) = -23*q**2 - 2. Let c(g) = f(g) - 6*n(g). Find the second derivative of c(z) wrt z.\nAnswer: -15446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 - 11*v**2 + 37*v - 124. Let j(r) = 2*r**3 - 5*r**2 + 17*r - 62. Let q(s) = -6*d(s) + 13*j(s). What is the second derivative of q(z) wrt z?\nAnswer: 48*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69416418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 517*v**2 - v - 1. Let b be f(1). Suppose -31*t - b = -36*t. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 712 + 184. Let u = y - -516. Suppose 0 = -2*r - 94 + u. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2105*n = 2062*n + 602 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c - 24. What is the common denominator of 73\/2 and (-482)\/120 + (-4)\/c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11321 (base 4) to base 13.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 6*x - 4. Let r(l) = l**2 - 26*l + 138. Let a be r(7). Calculate k(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 13 = 4*m, -4*m + 1 = -3*v + 4. What is i in 2*i**5 + i**m + 13*i - 16*i**2 + 5 + 11*i**4 - 5*i**3 - 17*i + 6*i**3 = 0?\nAnswer: -5, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22524114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 11 = r, 0*r = 2*r + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/163944 and 5\/143.\nAnswer: 2131272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540802192.\nAnswer: 2, 7, 31, 109, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*v = 2, -8*d + 9*d + 5*v - 23 = 0. Solve -4*a - 3*k = 7, 8 = -d*a - 4*k - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*i + 6 = 0, -482*m + 6*i + 3 + 1 + 5 = -487*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -245 + 264*n + 195*n + 245 + 2*n**3 to the form d*n + h*n**2 + y*n**3 + x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 + 1604 + 1529 = -1450*q - 985 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000016 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1848 - -1862. What is the smallest value in g, -5, -4\/5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52742*u**5 + 33304*u?\nAnswer: -1054840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-15)*8*4\/(-96)*255\/9\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5252 and 1521.\nAnswer: 614484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2509 and 1584076.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -3*n. Find the second derivative of 2 + 3*m + n*m**2 - 2 + 2*m**2 wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 1. Let u(c) = -7*c**2 - 3. Let j(i) = -i**2 + 9*i + 49. Let b be j(13). Determine b*d(q) - u(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -12 - (294 - 268).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -42 + 52*u + 34 - 256*u**2 + 31*u**2 - 34*u. Let t(l) = l**2 + l - 1. Let m(w) = c(w) - 4*t(w). What is the second derivative of m(q) wrt q?\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 104.4. Which is the third smallest value? (a) h (b) 34 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10204175 (base 10) to base 4\nAnswer: 212323100033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2529782689?\nAnswer: 7, 349, 601, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.75 rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 5*i**2 + 5*i + 6. Let p = 9 + -13. Let j = p + 6. Let f be (0 + -2*1)*j. Calculate z(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**2. Let z(o) be the second derivative of -o**5\/120 + 5*o**3\/6 + 5*o. Let k(n) be the second derivative of z(n). Calculate k(v(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.1 (c) 0.163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k + 33*k + 32 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 != -141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4.3. Let o = -5.478 + 5.378. What is the closest to 3 in u, 1\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15908636 is divided by 160.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(15\/(-78)*(-14)\/35*-13)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-656 - -656) + (2\/(-3) - 0 - (-83)\/3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 6413566790653.\nAnswer: 6413566790652.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2321 - 835. Is 1 + o\/8 + (-14)\/(-56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67374 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 56. Calculate the remainder when g is divided by (110\/(-11))\/(2\/(-3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 10*x - 3*x, x = -3*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. What is the units digit of -1 - -2 - (-7 - q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128200271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3 - 1 + 0*d + d**2 - 19*d - d. Let m be u(20). Suppose 0 = 2*k + k, -m*r + 10 = 4*k. Calculate the lowest common multiple of r and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - 1.01. Let t = -0.02 - -0.12. Let l = 2.3 - 2. What is the closest to n in t, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 9481*i + 789370. What is p(-84)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -8601.\nAnswer: -5\/8601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u - u - u - 6*u to the form i + f*u and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/(-34 - -33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25157 is divided by 12568?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-32 + 2)\/3*204\/(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 15) to base 13\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232*i**4 - i - 1664 wrt i.\nAnswer: 2784*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1666 and 213962?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 3:42 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - 2*n + n**4 + 8 - 10 + 4*n**2 - 2*n**2 as l*n**3 + y*n**2 + i*n + p + z*n**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16287.\nAnswer: 3, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - 1.5. Let u = -29 - -78. Let y = 49.3 - u. What is the nearest to 2\/5 in 0, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n - 64. Let c(y) = -10*y - 54. Let j(a) = 5*b(a) - 6*c(a). Let l(k) = -29*k - 9. What is -7*j(s) - 3*l(s)?\nAnswer: -18*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 309 = 4*i. Suppose 4*b - 88 = i. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(1\/5)*q**(-2\/11)*q*(q**(2\/21))**(-1) assuming q is positive.\nAnswer: q**(2221\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + w = 2, 0*l + 3*w - 11 = -4*l. Let b = -15 - -1. What is the tens digit of (b\/l)\/((-4)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30.77, -3\/7, 0.4, -0.27 in descending order.\nAnswer: 30.77, 0.4, -0.27, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.6 - 2.4. Let a = t - -9. Let m be (((-96)\/28)\/12)\/((-10)\/7). What is the closest to m in -4, a, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - k**2 + 3*k**2)*(20 - 1 - 4).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 403, 420, 447, 484?\n\"Answer: 5*o**2 + 2*o + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107172 and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(2\/5)*y)\/y)\/y**(-2\/7)*y**(-1\/3)\/(y*(y**(-5)*y)\/y))**(-2\/97) assuming y is positive.\nAnswer: y**(-1124\/10185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**39*r\/((r*r*r*r**2\/r)\/r)*r*r**(-2\/9)*(r\/r**(5\/4)*r*(r\/(r**(1\/12)*r)*r)\/r)**(-4) assuming r is positive.\nAnswer: r**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 + 548320*d + 15032741120 = 0. What is d?\nAnswer: -54832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2.8, -299, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25, 5, 2\/5, -2\/10357 in decreasing order.\nAnswer: 25, 5, 2\/5, -2\/10357, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -22 - 5*k**2 - k + 0*k**2 + k**3 + 0*k**2 - 6*k**2. Is d(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1\/694792 (c) -4\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 28, -27, 2 in increasing order.\nAnswer: -27, 2, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 15*h.\nAnswer: -5*h*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -108389?\nAnswer: 21677.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -0.6, -4\/11, -2, -3\/34, 1.\nAnswer: -2, -0.6, -4\/11, -3\/34, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 + 1 - (3 - 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 + 4 - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 14 + (-6)\/(-2). Suppose -q*x = -11*x. Suppose 2*z - 3*z = -3*i + 7, x = 4*z + 2*i - 14. What is the second biggest value in z, 5, 0.07?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0309 + -1.0309. Put 3, 1\/4, v, 6 in descending order.\nAnswer: 6, 3, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**6\/900 - 8*x**5\/75 + 64*x**4\/15 + 43*x**3\/3 + 22. Let h(v) be the third derivative of p(v). Factor h(k).\nAnswer: 2*(k - 16)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-8)\/(-7))*6\/3 - (-2380)\/14280?\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2362 + 2362. Solve 44*r - 33*r = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**5 + 4*t**5 - t**5 + (-2 + 3 + 1)*(-1 + 1 - t**5) - 3*t**5 + 3*t**5 + 5*t**5.\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - 3*c - 11*c**2 + (-c + 0*c - c)*(23*c + 34 - 34) to k + r*c**2 + v*c and give r.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 3:53 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, j: 4}. What is prob of picking 4 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -12*o + 6*o. Put 2, -5, 5, o in increasing order.\nAnswer: -5, 2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3642 + 1.3222. Which is the second biggest value? (a) -0.08 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (4 - (-2 - 1)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 511 = -481 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 16 = 2*u, -11 = 5*a - 3*u + 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592 and 47062520?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/(w\/(w\/(w\/(w*w*w*(w**2*w)\/w*w)))))**(11\/3) assuming w is positive.\nAnswer: w**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -9. Sort k, -5, 4 in ascending order.\nAnswer: -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 246, 992, 2238, 3984, 6230?\n\"Answer: 250*p**2 - 4*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 - 4*q**2 - q - 7. Let w be v(-3). Suppose 2*d - w - 198 = 0. What is the highest common factor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*u + 5*u = 6, 0 = 28*f - u + 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 4:58 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114562?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009532 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -132*n**2 + 395*n + 380. Differentiate q(t) wrt t.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5357 in -0.4, 16\/15, -3?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 + 9*i + 5. Let j(p) = -p**3 + p**2 + p + 1. Let u(k) = c(k) - 6*j(k). Let z be u(5). Is -12 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225905?\nAnswer: 5, 45181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 1, 5, 4, -53\/6 in ascending order.\nAnswer: -53\/6, -5\/2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-10))\/d*d*d**(-9)*d)\/((d*d**(-9)*d)\/(d\/d**(-5\/3))) assuming d is positive.\nAnswer: d**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l**2 + 31*l + 44. Let v(s) = -s**2 + s. Let d(w) = -6*v(w) + x(w). Let o be d(14). What is the nearest to o in 5, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 6:25 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 1:21 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4 - 5279*l**3 + 86*l**2 + 133*l wrt l?\nAnswer: 48*l - 31674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3762 and 4?\nAnswer: -15048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6626466?\nAnswer: 2, 3, 7, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310201230 - 1230?\nAnswer: 1310200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-276)\/(-102) + -3)*(-5)\/(-35). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 773792 and 193448?\nAnswer: 773792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 1164*l - 1166*l - 6, 3*p = 4*l - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 - -144020230?\nAnswer: 144020041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r. Let g(c) = -c. Let m(w) = 2*f(w) + 9*g(w). Let s(t) = -2*t - 7. Let u be s(-5). Let x(i) = -u + 3 + 0 + i**2. Give x(m(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*r**4*y - 6*r**2*y - 249*r*y wrt r?\nAnswer: 588*r**2*y - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 81*r**5 + 510*r**4 + 4025*r**3\/6 + 735*r**2\/2 - 349*r - 3. Factor w(d).\nAnswer: 5*(d + 3)*(18*d + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 5 + 15)*296\/(1 - -7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*g = -0*z - 2229, -2220 = -4*z + 4*g. What is the remainder when z is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*j + 6 = -0*l, 4*l - 8 = j. Let n(o) = 68*o**3 + 4*o**2 + 4*o + 1. Let b be n(-1). What is the tens digit of -1 + l - (b - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Find the third derivative of -3*k**5 - 18*k + 18*k - 2*k**q wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + (-3 - -1))\/1. Let j be 3\/(-6)*(0 - n). Solve 9 = -3*y - j*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*l + 2*c - 4026, -3*c - 205 = -2*l - 278 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**6\/40 + u**4\/8 + 17*u**2. Factor j(w).\nAnswer: -3*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 226*i**5 - 15*i**4*y**3 + 2*i**3 + 33645*i**2*y**3 - 2*i**2*y wrt i.\nAnswer: 13560*i**2 - 360*i*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299\/210 + 96\/35. Find the common denominator of t and 23\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*l**2 - l*x**3 + 3*l*x + 2*x**3 - 43*x wrt l?\nAnswer: -8*l - x**3 + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645*(-190)\/(-150)*(-150)\/(-1425).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2\/9*k**2 + 2\/27*k**3 + 2\/9*k + 7. Factor o(d).\nAnswer: 2*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 1\/10 (b) -1939 (c) -0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:22 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, -9, 13, 39 in decreasing order.\nAnswer: 39, 13, -3, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -425, -10 in increasing order.\nAnswer: -425, -10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.00858 * -0.007\nAnswer: -0.00006006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 2*j + 3. Let n be k(1). Let v be 3*(-2 + n - 1). What are the prime factors of v\/((-4)\/(-768)*3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*v = 51, 0*y - 24 = -3*y + 4*v. Let j(z) = z + 14. Let w be 2\/3 + 2\/(-3). What is the least common multiple of y and j(w)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 1 - 1)*(-3 + 0 + 0) - 2*u + 2*u - u + u + 4*u - u - 1 - u + 1 + (-2 + 2 + 1)*(3*u + 2*u - 6*u) + u - 2*u - 4*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122112212101120 + 2?\nAnswer: -122112212101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**4\/12 - 3154*k - 1. Let i(b) = 2*b**2 + 941*b. Calculate i(p(r)).\nAnswer: 2*r**4 + 941*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/28 + 1494\/42. Suppose -3*a - g = -5*m - 495, -5*a - 2*m + 746 = 0. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 115676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2*j*u + 12378792*c*j**2*u + 62*j**2*u + 354*j**2 - 155*j*u + 1 with respect to c.\nAnswer: 6*c*j*u + 12378792*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*z = 3*z - 290 - 438 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssblykllsyws. Give prob of sequence swb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**3 - 7*z**2 + 10*z + 13. Let v(d) = 48*d**3 + 48*d**2 - 72*d - 92. Let j(i) = 20*o(i) + 3*v(i). Suppose j(q) = 0. What is q?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2136036 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/10)\/(l\/(l*l*l**(2\/5)))*l**(2\/49)*l**(-49) assuming l is positive.\nAnswer: l**(-23353\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x - 135 = 0. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*u**4 - u**4 - 24*u**4 - 1 + 4*u as i*u**4 + f*u**2 + w*u + h + a*u**3 and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**6\/75 - 14*b**5\/5 - 2714*b**4\/15 - 2464*b**3 - 69696*b**2\/5 - b - 12512. Determine m, given that t(m) = 0.\nAnswer: -66, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 8*o**2 - 4*o - 2. Calculate w(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 175, -3, -5, -26 in descending order.\nAnswer: 175, -1, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r**(-3))**(15\/7) assuming r is positive.\nAnswer: r**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, c: 1, j: 2, f: 1, w: 1, t: 1}. What is prob of sequence tcjj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5065505 and 295.\nAnswer: 298864795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55612091\/6 or 9268682?\nAnswer: 9268682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4359524750.\nAnswer: 2, 5, 7, 59, 42223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 minus -3.3?\nAnswer: -52.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22785989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3049 to three decimal places.\nAnswer: -0.305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (0 - -2)\/(40\/2425). Let z = x - 117. Are z and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -67156*i + 67101. What is x(1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 4*c**2 + 6*c + 398 - 396 - 2*c**2 as x*c**2 + y + j*c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 + (1 - 2))*-1. Let y be (u\/4)\/((-36)\/96). Solve 12 = 3*q + 2*l, 3*q + 5*l - y = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*k + 2. Suppose k*f - 8 = f. Suppose 2*i - g - 1 = 0, -5*i + f*g + 25 = 7*g. Which is the biggest value? (a) -1 (b) i (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398725?\nAnswer: 5, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9*n\/(n\/(n**(-18)\/n)))\/(n*n**30*((((((n\/(n\/(n\/n**(6\/19)))*n)\/n*n*n)\/n)\/n)\/n*n)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-773\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 22*v + 382. Let h be l(-16). What is the highest common factor of h and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105011 - -11?\nAnswer: -105000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 - 0.07. Let q be (2 - 3)\/((-7)\/28). Suppose 0 = -3*w - 10 + q. Which is bigger: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -249*j. Let u(g) = 850*g - 55. Let p(q) = 31*q - 2. Let t(o) = 55*p(o) - 2*u(o). What is t(m(y))?\nAnswer: -1245*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 289.1 - 289. What is the closest to -79 in -4, h, 4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5246 = -10*v + 33677. What is the highest common divisor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s**2 - 3*s**2 - s**2 - 2)*(-26*s + 15*s - 15*s).\nAnswer: -182*s**3 + 52*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -168, 640, 3414, 9138, 18796, 33372, 53850, 81214?\n\"Answer: 164*d**3 - d**2 - 337*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4 - 12)*(-y + y - y) + 8 + 129*y - 17 + 9.\nAnswer: 146*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1854457156?\nAnswer: 2, 23, 20157143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001017987202 rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -0.2, 2\/7, -6, -182.4, 0.6, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-4) + (3 - 1). Let v = 0.1 - 0.1. Let r be 8\/26*3\/6. Which is the closest to -1? (a) r (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21200122 - 120001?\nAnswer: 21010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99432 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 + ((-742)\/(-6) - 7). Let d be 28\/70 + a\/10. Let h be 4\/(-6) - (18780040\/d)\/(-5). What is h rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -936180 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 3:02 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*d - d = 12, -5*l - 5*d - 10 = 0. Let g = -3 - l. Let z be g + 2 + 0 + -4. Solve -a + 4*a - 15 = z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82046824.\nAnswer: 2, 1097, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*398312\/30 - (-152)\/(-1140). What is o rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167.826 years to centuries.\nAnswer: 1.67826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 570\/(-19)*18\/(-3). Calculate the greatest common divisor of c and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 29075.4 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -184*t**3\/7 - 142570*t**2\/7 - 12396*t\/7.\nAnswer: -2*t*(4*t + 3099)*(23*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (0 + sqrt(80) + sqrt(80))) + -5)**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/50*((-2)\/(-4) - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015009 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, g: 7, d: 5}. What is prob of picking 1 n and 1 d?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.074, -181, 0.03, 2, -1?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.4 (b) -5 (c) -2\/23 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1500, -2227, -3448, -5169, -7396, -10135, -13392?\nAnswer: -17173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6114)\/(-54) + 2\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v - 3*v)*(-28*v**3 + 226 - 226).\nAnswer: 112*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:39 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert b04b (base 14) to base 8.\nAnswer: 73053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsb when three letters picked without replacement from sbds?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((768\/180)\/16)\/(72\/(-36)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8239 + 2?\nAnswer: -8237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.091694 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhyjhjyjybjyjjyhjhh. What is prob of picking 1 y and 1 b?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Suppose 4*x + 0*x = 4. What is the third smallest value in c, x, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0336894114 and 214914.\nAnswer: 214913.9663105886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35287, 35213, 35139, 35065?\n\"Answer: -74*m + 35361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 49*f - 60. Let l be s(23). Suppose -l*p - 1 = 17. Let y = -0.1 - 0.9. What is the biggest value in y, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w + 70 + 38. Suppose 5*r = -3*r - 96. Let z be w\/6*32\/r. Solve -5 + 21 = -z*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -449750 - 0?\nAnswer: -449750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717424.\nAnswer: 2, 44839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -81, -652, -2217, -5274, -10321, -17856, -28377, -42382?\n\"Answer: -83*z**3 + z**2 + 7*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522360 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 1209570 - 2002562. Let d = -1040631 - v. Suppose -2*x = -t - 6000004, x = 2*t - d + 14171503. What is t rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12127 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17008 - -17028. What is the highest common factor of q and 8450?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003521.\nAnswer: 3, 334507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*l, p = -4*p + l. Suppose -3*b + 6*b - 2*g - 28 = p, 3*g = -4*b + 43. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 2*a - 7. Let w(s) = -s**2 - s + 3. Let c be (-4)\/(-8)*(-16)\/2. Let u(l) = c*j(l) - 9*w(l). Does 3 divide u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47155501 rounded to the nearest one hundred thousand?\nAnswer: 47200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42983001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4 and 38\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 36*y**2. Let t(v) = 286*v**2 + 2*v. Determine t(k(h)).\nAnswer: 370656*h**4 + 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -14*g. Let r(f) = -9*f. What is r(l(p))?\nAnswer: 126*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 36 + 3. Let f = r - 28. Is (-2)\/f - 3207\/(-33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, l: 1, m: 2, s: 1, v: 1}. Give prob of picking 1 l, 1 m, 1 v, and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y**3 - 6*y**2 + 2*y + 10. Calculate i(2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**3 + 17*z**2 + 11*z. Let m = -3375 - -3381. Let r(g) = -2*g**3 - 8*g**2 - 5*g. What is m*y(i) + 13*r(i)?\nAnswer: -2*i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 146 = -58. Let c(v) = 11*v**3 - 3*v. Let r(o) = -17*o**3 + 5*o. Give l*c(w) - 5*r(w).\nAnswer: -3*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6582, 23487, 50702, 88233, 136086, 194267, 262782, 341637?\n\"Answer: r**3 + 5149*r**2 + 1451*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 26*n - 10. What is j(17)?\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide -1 - 0 - (-25960)\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/13 - ((-173620)\/(-52) - 7). Is -3331 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*l - 2*g + 16, 25 = 5*g. Let s be (l\/6)\/(2\/(-208)). Let j be 2\/(-6) - s\/3. What is the highest common divisor of 187 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**22*l\/(l\/((l**(-16)*l)\/l)*l) assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -u - 3, 79*u - 2 = 6*f + 43*u + 34*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 0 + (1538 - 1540)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 - 1146*t**2\/5 + 2298*t\/5 - 230.\nAnswer: -2*(t - 1)**2*(t + 575)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 - 34*z + 12. Let x(c) = -11*c**2 - 69*c + 25. Determine 13*s(m) - 6*x(m).\nAnswer: m**2 - 28*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(130)\/sqrt(10) + 2 + sqrt(13) + 0)*6)**2.\nAnswer: 1008*sqrt(13) + 23076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 15 = -2*i, -3644*z = -16*i - 3649*z - 105 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (1 - 0 - -1)) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5. Let d be 5 - (-1)\/(z - 3). Solve -2*j - 21 = -j - 4*a, j = a - d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19564627 divided by -4.\nAnswer: -19564627\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*t = -9, 877 = -4*j + t + 855 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 33*v + 6199. Determine j(-48).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 - l - 25*l**4 + 3*l**2 - 4*l**2 + 27*l**4 to u*l + z*l**2 + b*l**3 + g + o*l**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -5*j**3\/6 + j + 185. Let u(s) = -s**2. What is b(u(h))?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.33599 litres to millilitres.\nAnswer: 50335.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -211, -289, -367?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*38\/(-16))\/(24\/192). Solve -v*u = -49*u + 77 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2568 + -2567.8. Sort -0.48, 0.5, c in decreasing order.\nAnswer: 0.5, c, -0.48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = 2*f - 6*f, -3*v - 3 = 0. Suppose 2*a - 5 - f = 0. Let x = 5 + a. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1071 - -1545. What is the remainder when i is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i**3 - 21*i**3 + 39*i**3.\nAnswer: 64*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omo when three letters picked without replacement from oomoooooooooo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3 - 6209*j**2 + 55954*j - 49744 = 0.\nAnswer: -6218, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 26 + 5)*(b - 3*b + 4*b + (3 - 2 + 0)*(-3 + b + 3) + 3*b - 2*b + 0*b - 2*b - 2 + 2 + 2*b - 3*b + 0*b + (2 + b - 2)*(-1 + 3 - 1) + 1 - 1 + b).\nAnswer: 192*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -46783, 5\/3 in descending order.\nAnswer: 5\/3, -2, -46783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnnonpknnvnkonn. Give prob of sequence nov.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 770482232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/64)\/(((-25305)\/308)\/(-15) - -11) and -55\/6.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21131, 21132, 21133, 21134, 21135, 21136?\nAnswer: 21137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-319)\/(-551))*(-68)\/38.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-13 + 21 + -24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 12*l**2 - 59*l - 58. Let a be d(-6). Solve a = 7*w + 700 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -11734686?\nAnswer: 1173468.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 1260, -1, -3, -2.\nAnswer: -3, -2, -1, 28, 1260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v - 4*v + 12*v + 4*v**3 + 7*v + 4 + 12*v**2.\nAnswer: 4*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 = -4*v - 4*p, 3*v + 5*p - 3 = 0. Which is bigger: v or -20\/213?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = 0, -5*m + 120 = -4*u - u. Let 5 + q - m - 11*q - 38 + q**2 = 0. What is q?\nAnswer: -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 11:47 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + 8*z - 1. Let u be a(-10). Let o = u - 150. Let -2 + 28*m - 25*m**4 - 69*m**2 - 3 + 1 + m**3 + o*m**3 = 0. What is m?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1284 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1553946.\nAnswer: 2, 3, 258991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 4*o**2 + 6*o + 4. Let q be r(-5). Which is bigger: -11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/7 - 0. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, -1438, -4249, -8184?\nAnswer: -13243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/f**(-16)))\/((f*f**13)\/f) assuming f is positive.\nAnswer: f**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2397156 and 5015029.\nAnswer: 7412185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3776 (b) -2\/3 (c) 225 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**2 - 269*i - 1571. Determine p(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 + -192. Let c(f) = -12*f**2 + 1. Calculate c(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -7, -18, 2 in descending order.\nAnswer: 2, -7, -18, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -48 - (1 + -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*g = -30, 50 = -5*p - 0*g - 5*g. Let i = -5 - p. Let t(r) = 4*r**3 - 6*r**2 - 3*r**3 + 5*r - 1 - 4. What is t(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16128 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 10:05 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57883517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.618 - -157.418. Let x = g + -158. Let z = 21 - 16. Which is the fourth smallest value? (a) -0.2 (b) z (c) x (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23\/5 + 183\/(-305). Which is the nearest to 0.2? (a) m (b) 0.07 (c) -0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7084 to two dps.\nAnswer: 2.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.01378 millilitres in litres?\nAnswer: 0.05201378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 292903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -177.13 + 176.63. What is the closest to 3\/4 in -46, f, -3, -4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*i**3 + 16*i - 12*i**2 + 43*i**3 + 6 - 123*i**3 to d*i**2 + j*i + s*i**3 + y and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -954 (base 11) to base 10\nAnswer: -1148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12482551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11710 divided by -10.\nAnswer: -1171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1495224, -2990268, -4485312, -5980356?\nAnswer: -7475400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = -5*a, u - 2 = -1. Let b(g) be the second derivative of -g - 1\/4*g**4 + 0*g**3 - g**2 + a. What is the first derivative of b(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -7*h**6\/30 - 5*h**3\/6 + 7*h. Find the second derivative of g(p) wrt p.\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 23*d - 77*d + 82 - 45.\nAnswer: -100*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -139?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0, -0.1, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2156*b*c**4 - 21946*b - 10*c + 2 wrt c.\nAnswer: -8624*b*c**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19507140 by -3219.\nAnswer: 6060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - ((-9)\/27)\/((-2)\/(-6)). Let l(t) be the second derivative of -t**2\/2 - 3*t. Let p(r) = r - 2. What is n*l(g) + 3*p(g)?\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h - 42. Let y(q) = q - 7. Let c(u) = -t(u) + 6*y(u). Let m(o) = 55*o. Give c(m(r)).\nAnswer: 165*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-4*sqrt(847)*3 - sqrt(847) - sqrt(847)) - ((sqrt(847) + -1 - sqrt(847)) + 5 + 2))*4)**2.\nAnswer: 24640*sqrt(7) + 2656592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5648028 or 5648030?\nAnswer: 5648030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 9:51 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30267 is divided by 8091?\nAnswer: 5994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*l + 4*y, -4*l - 14 = -3*l + 3*y. Let j = -54 - -33. Let h be (j\/(-6))\/7*-4. Which is smaller: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -5*j - 2980 + 3075, -5*j + 95 = 416*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {r: 2, j: 2, n: 1, t: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 11*z**5\/10 - 26*z**2 + z + 40. What is the derivative of c(v) wrt v?\nAnswer: 66*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/5 + 269742308*x\/5 - 9095114090645858\/5 = 0. Calculate x.\nAnswer: 67435577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = 2*g. Let a be (g - -99)\/(-4) + -3. Let p = -19 - a. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -44. Suppose t*d = 11*d + 31. Calculate the remainder when d is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000011000111011 (base 2) to base 14\nAnswer: -4440b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29798, -27\/10, 0 in descending order.\nAnswer: 29798, 0, -27\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -2*k - 7 - 3, 22 = 2*k + 4*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**5\/11 + 1930*s**4\/11 - 478916*s**3\/11 + 464520*s**2 + 599435568*s\/11 = 0.\nAnswer: -29, 0, 46, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -6. Suppose -2*g + 13 = z. Let w(i) = -i**3 + 5*i**2 + 5*i + 6. Calculate w(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(6\/23)\/y*y*y**(3\/25))\/((y\/(y\/(y*y\/(y\/(y*y\/y**14))))*y)\/y*y**(-36)))**(-6\/5) assuming y is positive.\nAnswer: y**(-163464\/2875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 66c (base 16) to base 9\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/42*(-3)\/(-6)*-2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1011\/15 - (-8)\/(-20). Let b = z - 63. Let t = 19 + -19. Solve -5*g - 4*x - 30 = t, 3*x = b*g + x - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1153, -1533, -2567, -4585, -7917?\n\"Answer: -55*w**3 + 3*w**2 - 4*w - 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = 14*j - 37. Let l(f) = 4*f - 2. Let x(b) = b**2 + 5*b + 2. Let t be x(-5). Let a be l(t). Put a, j, 2 in ascending order.\nAnswer: j, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -143325.\nAnswer: -2\/143325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -271 + 264.5. Let b = d + 7. Let r = -4 + 4. What is the nearest to -2\/7 in r, 1, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -950.4 - 14192015.3.\nAnswer: -14192965.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/7 + 8*o\/7 + 8\/7 = 0. Calculate o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1770437 times 1.7\nAnswer: 3009742.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:36 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/15 - 7508*v**4\/3 + 12514*v**3\/5 = 0.\nAnswer: -18771, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*g*u - 2*b*g + 50*b*u + 4*g*u + 5*g + 4*u wrt b.\nAnswer: 2*g*u - 2*g + 50*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-81)\/93) + 3. Let j = 3.69 - 0.29. Let c = j + -2.4. Sort c, t, 2\/3 in increasing order.\nAnswer: t, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417\/7923 - (-49)\/152\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5824781*c - 8649*c**2 - 3838130*c + 4311682*c + 3*c**3 - 2662511043 + 2013356*c = 0. Calculate c.\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2230*p - 2262*p + 768 = 0 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/735210 and -64\/3308445?\nAnswer: 6616890","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1369787*w**3 + 2051569*w**2?\nAnswer: -8218722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 7:05 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 2\/5, 0.02, -0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/14909 - 28472\/10033757. Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4 = -5*n + 6, 5*n = c - 8. Solve c*k = 2*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 11*t - 128. Let v be d(-19). Suppose -4*z - 19 + 5 = -2*c, z = -5*c + v. Solve -c*u = 3*i - 14, -3*i + 7 = -5*u + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1377*b**2 + 23425*b - 252. Determine k(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192797 - 48985 = 170*g - 13*g. Calculate the least common multiple of 2061 and g.\nAnswer: 8244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35819647 is divided by 297.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 1050 = -6*t - 986 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, -39195, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*v - 2 + 2)*(1 + 3 - 2) - 3*v + v + 3*v)*((4 - 4 - 2)*(-1 - 4 + 2) + (-5 + 0 + 0)*(-1 + 3 + 4)).\nAnswer: -120*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 638155?\nAnswer: 638153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 8531\/367?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -673 - -359. What is i rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -194 - -58. Let m = -39 - k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/21 and -59\/621.\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, n: 6, y: 2, v: 1, z: 3}. What is prob of sequence nzz?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0. Let s = 13.5 + -18. Let w = s - -5. Which is the nearest to 2? (a) -0.5 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163788 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o + 4*o - 15 + 9*o. Let t be c(7). Suppose t*w + 72 = 26*w. Solve 5*v + w = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/10)\/((-30)\/8))\/((-13)\/(-130))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -17 - -4 - (-6 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*y + 1 = 0, -13*n + 17*n + y - 14 = 0. Solve -5*f + n*f = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 12. Let p be h(-8). Let t be (-201)\/36 + 3\/p. Let a = t + 20\/3. Is a > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6417 = -30*a - a. Suppose -123*o + a = -120*o. What is the remainder when o is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.67994 + 439.03706. Let y = f + -441.61669. Let x = 1.9 + y. What is x rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/2 - 238300*t + 476599\/2 = 0. Calculate t.\nAnswer: 1, 476599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15622600 divided by 5\nAnswer: 3124520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/((-59)\/3186). Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 0, f + 3*p + 3 = -2*f. Suppose -4*s + 5*s - 5 = 0, 4*d - 3*s = -39. Let w = f - d. Solve q - w*q = -20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 - 215*c**2 - 821*c - 65. Give m(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/580 and -29\/30?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3 - 121238*z**2 - 3674663161*z = 0?\nAnswer: -60619, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 (base 3) in base 6?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -0.34\nAnswer: -2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*n = -229*n - 45544. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*w**5\/3 + 108*w**4 - 1804*w**3\/3 - 10312*w**2 - 14208*w - 4608 = 0. What is w?\nAnswer: -6, -1, -1\/2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/8)*x**(-5\/3))**(-9\/11))**22 assuming x is positive.\nAnswer: x**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-130 - 129 - 149828*s + 517 - 131 - 127)*(-4 - s + 4) to the form j*s**2 + m*s + x and give j.\nAnswer: 149828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 672.165363 - 13.218063. Let o = p - 659. What is o rounded to 3 decimal places?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 times -65502\nAnswer: 2489076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 13 = 2*t, 5*t - 8*t = 4*b + 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4*20\/15. Suppose 78 = t*w - 4*x, -3*w - 5 = x - 150. Suppose 4*j - 2*o - 144 = 0, 3*j - 2*o - w - 63 = 0. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -29*x - 21. Let k(a) = 57*a + 42. Suppose c = 4*o + 21 + 19, -5*o = 3*c + 67. Let i(l) = o*d(l) - 6*k(l). Differentiate i(t) wrt t.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p**3 - 9*p**2 + 2. Let z(m) = 40*m**3 - 45*m**2 + 11. Calculate -11*k(w) + 2*z(w).\nAnswer: -8*w**3 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 103600?\nAnswer: -103603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + d - 1. Let m(k) = 3*k**3 + 6*k**2 - 3*k - 2. Determine -m(o) - 5*s(o).\nAnswer: -3*o**3 - o**2 - 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*k**2 - 3*k + 3*k)*(0*k**2 + k**3 + 0*k**2) + k**4 - k**4 - 2*k**5.\nAnswer: -15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 600439075, 600439076, 600439077?\nAnswer: 600439078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68516*l**5*x + 12*l**2*x + l*x - 245*l wrt l?\nAnswer: -4110960*l**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 69673\nAnswer: 3\/69673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3*j - 60. Suppose -1163*x = -1161*x + 4. Let y be ((x\/2)\/((-7)\/217))\/1. Which is greater: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*h + 19, -3*w = 3*h - 6 - 0. Suppose 0*j + 4*j - h*d - 3159988 = 0, -3*j - 2*d + 2370008 = 0. Round j to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*f + f - 231711 = -231776, -2*m + 7*f + 73 = 2*f for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2. Let m(s) = -7*s**2 - s. Determine w(m(c)).\nAnswer: 147*c**4 + 42*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -38. Solve f - 4*b + b + 7 = 0, -5*f + 4*b + 9 = q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -12\/1691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 - 2. Let o be i(-1). Let m(x) be the third derivative of 0 - 2*x**o + 0*x + 1\/24*x**4 + 0*x**3. Let z(b) = 4*b. What is z(m(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 7401\/4 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q*t**4 - 3*q*t + 3*q + 7115*t**4 + 1056*t wrt t?\nAnswer: 12*q*t**2 + 85380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402752 is divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1254*l + 6 + 9 = 1251*l. Which is the nearest to -1.5? (a) 4 (b) -3 (c) -4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = u + 3*c + 11, -c + 49 = 5*u. Suppose g = -0*g + u. Suppose g*f - 166 = 7*f. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 1:28 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 858\/8)\/((-3)\/88) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3641*l = -1926*l + 133608 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyvyyyyyhyyhhyvyvy. What is prob of sequence yyyy?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a988 + 4?\nAnswer: a990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35621 - 33114?\nAnswer: -102035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at most 150\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 11:20 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -167, -374, -663, -1034?\nAnswer: -1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 397 + 817. Calculate the remainder when y is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 + 335. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1)\/(4766\/114384)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - p - 2*p = 6, 4*p = 2*c - 4. Let g be 4\/4*1 + -5. Sort -45, g, c in decreasing order.\nAnswer: c, g, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4310558.\nAnswer: 2, 7, 47, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 291*a + 1399. Does 6 divide v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*h = -35020, -34452 - 553 = -5*d + 2*h. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 38*b**2 - 34*b + 148. Determine u(-39).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -933*l**2*n**3 + 90*l**2*n**2 + 525*l*n**3 + 26*l wrt l.\nAnswer: -1866*n**3 + 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, w: 1, m: 3, t: 1}. Give prob of sequence tmm.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**2 + 37*m**2 - 9*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 443340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/25738274 and -71\/130?\nAnswer: 1672987810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/t)**(-6) assuming t is positive.\nAnswer: t**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + -3)*((-21 - -4) + 0) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*s - 8761, 5*y = -34*s + 37*s - 14589. Is -2919 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Let b(g) = -g**2 + 20*g + 14. Let f be b(21). What is the closest to -1 in f, 2\/7, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u**(-4)*(u\/(u*u**(2\/7)))**(8\/5))**(-20\/3) assuming u is positive.\nAnswer: u**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = 4*w - 40, w + 2*h = 10. Let t(m) = m**2 - 2*m + 1. Is t(w) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46221120 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 586\/10*5. Suppose -49*u + 52*u = d. What is the remainder when 284 is divided by u?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17433?\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/60*0\/((-2)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -37. Let w = 2.8 - 8. Let u = w - -4.2. Sort h, -1\/4, u, 7.\nAnswer: h, u, -1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*n + 12*n - 34*n)*(-28*n**4 - 38*n**4 + 46*n**4) + (n**4 + 4*n**4 - 3*n**4)*(n + 0*n - 3*n) - 4*n**5 + 2*n**5 + 4*n**5.\nAnswer: -2102*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 39 = -71. Let i(d) be the first derivative of -d**2 + d - 128. Calculate i(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(98\/(-21)))\/(15*1)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - -522\/5. Let k be 0*(4 + -2)\/4. Factor 0 + k*t - v*t**2.\nAnswer: -2*t**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1668.79 - -1670. What is the closest to 1 in g, 3, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crf when three letters picked without replacement from {l: 1, r: 3, s: 2, c: 5, f: 1}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Let p = t - 3. Let k = -0.1 + 0.04. What is the nearest to -2\/3 in 1\/2, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620, -338, 52, 550, 1156, 1870?\nAnswer: 2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 24. What is the remainder when 14 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 - 927091*w**3 + 927097*w**3 - 2591*w**2 - w + 465*w**4 - 45*w**4 + 2 wrt w.\nAnswer: 10080*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -345 in 7, -4\/3, 6, 1\/6, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 65, 1, 71\/8, 3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + 1 + (9 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x - 2*p + 204, 0 = -4*x + 4*p + 192. Suppose 2*r = -3*r + x. Solve 10*j = 5*j - r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*m - 4*t, -2 = m - 2*t + 3*t. Let d be -2*1*m\/4. Solve -u - 2 - d = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/3)\/(8\/44). Suppose 8*n - 3*n + 50 = 0. Let v = n + i. Do -2\/27 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(8 + 11360\/128*6\/15)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b**2 + 10*b + 3. Let p(w) = w**2 - 1. Let h(a) = -c(a) - 3*p(a). What is the second derivative of h(g) wrt g?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 + 5*t - 3. Suppose 14*p - 34 = 12*p. Let o(c) = 75 - 3*c + p*c - 83 - 12*c**2. What is 14*h(u) - 5*o(u)?\nAnswer: 4*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2 - 27*d**2 + 7*d**2 + 8*d**2 - 2. Let g(p) = p + p - 3*p. What is x(g(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130348, 521501, 1173446, 2086201, 3259784, 4694213, 6389506, 8345681?\nAnswer: 10562756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**3 + 6*h + 6. Suppose 5*r - z = 15, -z = 2*r - 5*z - 6. Let s(m) = -6 - 11*m + 9*m**3 - 2*m**r - 5. Determine -11*n(j) - 6*s(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0746 (b) -0.2 (c) -0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:19 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2\/6 + 25*l\/2 + 40\/3.\nAnswer: -5*(l - 16)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -903, -1099, -1107, -915?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -235.2, 4, 1, -2?\nAnswer: -235.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 24730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)\/q**(1\/3))\/(q**4\/q*q**5\/q))\/((q\/(q**(-2\/23)\/q)*q*q*q*q**(-1\/12))\/(q**6\/q**2)) assuming q is positive.\nAnswer: q**(-951\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let u = -13.3 + 13. What is the closest to f in u, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-17\/4)\/l)**(-2\/9)*(l\/(l\/(l**(3\/11)*l)))\/l*l**0\/l)**(-1\/36) assuming l is positive.\nAnswer: l**(-29\/2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/60 - z**3\/6 - 273*z**2. Let y(b) = -8*b**2 - 3*b - 4. Calculate -4*m(a) + y(a).\nAnswer: -12*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 13c6?\nAnswer: 13c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 264609220 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 15) to base 11\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4) + (-40230)\/36. Is (-7 - (20\/(-2) + 4))*b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n + 1. Let q(g) = 6*g - 1. Let j = 35300 - 35305. What is j*q(b) - 6*h(b)?\nAnswer: 6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + o**2 + 1 - 2*o + 2 as j*o**2 + k + f*o and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 6*h = 3*p + 6, 2*h + 2*p - 8 = 0. Suppose 0 = -5*i - 5*j + 40, 0 = h*i + 4*j - 34 + 5. Solve 4*a + 3*s - 21 = 0, -i*a + 2*s + 0 = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5459451?\nAnswer: 3, 73, 97, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (2 - (-1 + 6 + -7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:37 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r - 2*r)*(5*r - 5*r - 2*r) + 6*r**2 - 2*r**2 - 8*r**2 - 2*r**2 - r**2 + 2*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 divided by -8?\nAnswer: -133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 5 - 1 - 32*g.\nAnswer: -21*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139058 and 11?\nAnswer: 1529638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049504.\nAnswer: 2, 32797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w + w)*(21*w - 6*w**4 - 21*w) - 2*w**2 - 10*w**2 - 14*w**2 - w**5.\nAnswer: -19*w**5 - 26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 643 + -641. Let 169*w**i - 13*w + 38*w - 168*w**2 = 0. What is w?\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:00 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 531 + 427?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30183997 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 5. Let n be d(-5). Let a(y) be the second derivative of -y**5\/20 + y**4\/2 - 5*y**3\/6 - y**2 + 15*y. Determine a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 96 = -3*l. Let i be ((-2)\/l - -1)*7\/14. Suppose 4*f = 6 - 26, 3*f + 16 = k. Which is greater: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31131020231 (base 4) to base 13.\nAnswer: -966611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2397816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -12) + (623 - 631) + 30 + -2 + -2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284553*k + 9792 = -284361*k for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 - (-26)\/6. Suppose 3*l - 23 = -g - 9, 0 = -3*g + m*l - 10. Solve 0 = p - 3 - g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -989, -1453, -1923, -2399?\nAnswer: -2881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12*r**2 - 13*r - 58. Let g be f(-4). Let j(l) = 11*l - 186 + g. Let n(h) = -3*h**2. What is n(j(d))?\nAnswer: -363*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25503 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.598 (b) -21798 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 + 3682*b**2 - 11060*b + 7376 = 0. What is b?\nAnswer: -1844, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = 4. Suppose 5*y = 4*q - 132, 2*y - z*y = 2*q - 52. Solve -v + 0*o = -5*o + 10, -5*v - o + q = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69579912 is divided by 23193293.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 454165044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -819?\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156803*g - 2098 = -157155*g - 10234 - 5592 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 15 + 1 + (0 + 0 + 1)*(0 + 3 - 4))*(-30*c**3 + 165*c**3 - 9*c**2 - 116*c**3).\nAnswer: -133*c**3 + 63*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(125))\/(sqrt(6)\/(sqrt(3)*-2)) + -3.\nAnswer: -3 - 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 4:32 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3248 and -18289082?\nAnswer: 18285834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + i - 1. Let j(a) = 25*a**4 - 2*a**2 + 14*a - 2. Let v(x) = -j(x) + 2*z(x). Find the second derivative of v(r) wrt r.\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k - 46*k = -99552. Calculate the least common multiple of 2 and k.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*z - w, -15*w + 17*w + 34 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-16\/5))**(9\/7) assuming g is positive.\nAnswer: g**(-99\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.401 and -7?\nAnswer: -2.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42218.27 + 42227.27. Let v = 0.01 - 8.01. Let h = 11 + v. What is the smallest value in h, 1, a, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 + 125. Let j = o - -113. Suppose 4*k + j - 72 = 0. Solve -3*r + k = 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2337 < -2337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8808 = -32*q + 1288. Let s = q - -236. Solve -s = p - c, c = 2*p - 3*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 22. Suppose 14*f = 19*f + 40. Let p be o(f). What are the prime factors of p\/(-9) - (-2 - 1495\/45)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.2. Let w = -53 + 54. Let h = w + z. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 - w**2 + w**2 + w**2 + 0*w**3 - 2*w**2.\nAnswer: 2*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qejeyeqjyeq. What is prob of sequence yy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19196 = -27*g - 19331 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - r**2 - 93*r + 12. Determine n(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*z**2 + 6*z**4 - 20*z**2 - 2*z + z - 7*z**2 + z**3 - 7*z**2 in the form c*z + b*z**4 + r*z**3 + i + w*z**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103086619*q - 67561052?\nAnswer: 103086619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93796.7 + -93805.7. Let x = 0.16 + -0.1. Which is bigger: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484105*q + 484109*q = 100 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*x - 28. Suppose 13119 = -178*d + 21476 + 25285. Calculate the remainder when d is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 11:37 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, 111, -31.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvmpvkjw. What is prob of sequence pvjp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2. Let m(b) = -20*b**2 - 1. Let d(x) = 2*m(x) + 7*q(x). What is the derivative of d(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27769113.9999926 + -27769130. Let l = a + 16. What is l rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 572 + -565. Suppose -3*m - 3 = 0, 4*w - f*w + 226 = -4*m. What is w rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*i + 29, 675*i - 680*i = 5*z - 90 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 790 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -15*s + 18*s + 34, -b + s = -8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4552732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -985254*j**2 - 664518.\nAnswer: -1970508*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 32. Let y = -209 - -103. Let k = y + 118. What is the lowest common multiple of k and j(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 8*p**2 - 7*p - 10. Suppose -2*o + 5 + 13 = 0. Let k be v(o). Suppose -5*g - 36 = -2*y + 12, 0 = 2*g + k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23 + -1 + 0)*(-7575000)\/18. Round p to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147.2977 + -0.2023. Round r to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -0.019, 1\/4, 0.5, -2\/13 in decreasing order.\nAnswer: 0.5, 1\/4, 1\/9, -0.019, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5919889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1336833, 1336775, 1336719, 1336665, 1336613, 1336563, 1336515?\n\"Answer: v**2 - 61*v + 1336893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -1339*n + 1340*n + 7, 3*v + 23 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 7*u**2 + 8*u. Let g be k(-8). Solve -p = -g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = k + 10, 3*y + 1 = 2*k - 12. Let m be (-248)\/(-8) + -2*y\/6. What is the highest common divisor of 48 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 + 11*o**3 - 21*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (38\/(-4) + 426\/(-284))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 23 + 61 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-1\/5))*g**12)\/(g**(-1\/16)\/g**(-2\/35)))**8 assuming g is positive.\nAnswer: g**(6611\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - 44) + 4 + 0 + (-2 - -9) - -37.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -2, 3, -4868?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdirrrrari. Give prob of sequence irda.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-55)\/(-20) - ((-1)\/4 - 0). Suppose -5*i = -r + 4*r - 28, -2*i = -g*r - 28. Suppose -2*j + 6*j = i. Solve 4*a = -2*y - 14, j*a = 3*y - 0*a - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 24*w + 29. Let u be a(-25). Suppose 5*n + 23 - 3 = 4*d, -10 = -2*d + u*n. What is the first derivative of -30*g + d*g + 3 - 6*g wrt g?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/15 + (-37)\/(-3). Suppose o = n + 5. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -27*w - 5. Let d(g) = 80*g + 13. Let r(z) = -3*d(z) - 8*s(z). Let n be r(-1). Solve -n = 6*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 9*p + 4. Let b be 4 - (-3)\/3*1. What is the remainder when c(b) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/6 - 12*v**2 - 102. Let w(h) be the second derivative of a(h). Let j(t) = -25*t**2. Calculate w(j(l)).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 1598880*m**2 + 127811268900*m - 1533965474160.\nAnswer: 5*(m - 12)*(m + 159894)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/30016 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.48, -5, 0.3, -2 in ascending order.\nAnswer: -5, -2, 0.3, 6.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0 + 6 = -2. Let m(v) = 4*v**2 + 23*v + 7. Let a(f) = -2*f**2 - 11*f - 4. What is r*m(q) + 7*a(q)?\nAnswer: 2*q**2 + 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 225500 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 7*z - 5. Let o be c(-7). Let m = 7 + o. Suppose -1 = m*x - 25. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10 - 2*x - 5)*(-3 + 5 - 4)*(-3*x + 0 + 0).\nAnswer: -12*x**2 + 42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 261, 15, -3, 1\/2 in descending order.\nAnswer: 261, 15, 8, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.25? (a) 3 (b) 9 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42, -43, -44?\n\"Answer: -f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.00791\nAnswer: -0.003164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1007, -1969, -2941, -3929, -4939?\n\"Answer: -s**3 + s**2 - 958*s - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -2, -58982, 1, 4, 10 in decreasing order.\nAnswer: 10, 7, 4, 1, -2, -3, -58982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/42*(-2)\/((-54)\/63)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.2 - 4.199056. What is f rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 + 67188?\nAnswer: 67154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 61 (b) 15.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o**3 - 22*o**2 + 62*o + 18. Let y(k) = -5*k**3 - 10*k**2 + 32*k + 10. Let x(q) = -6*l(q) + 10*y(q). Solve x(m) = 0.\nAnswer: -2, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48\/23 + -1571\/184. Let r = -43001\/12 - -3595. Calculate the common denominator of r and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -3, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from eeoeooooeoeoeoeeooe.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by -56.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdz when three letters picked without replacement from {u: 2, l: 1, d: 1, t: 1, z: 1, y: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, m: 5}. Give prob of sequence ggmm.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 42425796.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.9914 tonnes to milligrams.\nAnswer: 73991400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let i be a(5). Let h be i\/(-6)*(6 - 0). Let c = h - 4. Which is smaller: c or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 0 - d**2 + 0*d**2 + 2. Let a(z) be the second derivative of z**3\/2 - 2*z. Determine r(a(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 40*a - 157. Determine u(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -5\/6*y**3 - 1\/8*y**4 + 0 + 0*y + 4*y**2 + 2\/15*y**5. Is b(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13731*p**4 - 27805 wrt p.\nAnswer: 54924*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1824*h - 1851*h = 1999*h - 5434*h + 240 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1\/5 (c) 3\/5 (d) -129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 2*l)*(-1 - 1 + 1)*(-14*l - 6*l - 13*l) + l**2 - 5*l**2 + 2*l**2.\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -409*u**2 - 3*u - 323*u**2 + 1172*u**2 - 357*u**2 - 2 to the form h*u + l + a*u**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555311 is divided by 132.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:15 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 53, 66, 79, 92?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 (base 8) in base 15?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 + 3021*c - 18103. Give x(6).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -7, 1 in increasing order.\nAnswer: -7, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*b**3 - 80*b**3 - 185*b**3.\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6737, -13480, -20223, -26966, -33709?\n\"Answer: -6743*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2937572 divided by -3?\nAnswer: 2937572\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 8606218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -1\/32*j**4 + 0*j**3 - 1\/160*j**6 + 7*j**2 - 1\/40*j**5 + 0*j + 0. Let u(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + p**2. Let j = 64 - 66. Let b(l) = 4*l**3 - 5*l**2 - l - 1. Give j*b(u) - 10*r(u).\nAnswer: 2*u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 267? (a) -476 (b) 20 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1704*r**3 + 2*r**2 + 4*r**2 - 6*r**2 + 1702*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642239335 = -7*o + 237639335. What is o rounded to the nearest 1000000?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81\/31 - -1176\/155. Suppose 5*i = b + 37, -3*i + 3*b = 2*i - 41. What is the common denominator of m and i*((-5)\/6)\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 2. Suppose -3*d - u + 53 = 4*u, -d + 31 = 5*u. Let h(p) = -d*p + 11*p + 0*p**2 + 11*p - p**2 - 21. Let j be h(9). What is f(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 6. Let z = 144.3 - 151.3. Let y = t - z. Which is the smallest value? (a) 2\/19 (b) y (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**22*h*h**(1\/6) assuming h is positive.\nAnswer: h**(139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 977851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b - 117 = 927 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m = -21*m + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3\/6 - 199*u**2\/2 - 17075*u\/2 + 51821\/6 = 0.\nAnswer: -77, 1, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4*n**2 + 2*n)*(((-1 - 11 - 1)*(-2*n**2 - 4*n + 4*n) + 0 + 0 - n**2)*((3 - 4 + 0)*(-n + 4*n - n) + 0*n + 5*n - 4*n) - 7*n**3 + 25*n**3 - 8*n**3).\nAnswer: -60*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -35*o - 103. Let x be l(-3). Solve -f + 2*y + 3 = 0, 5*f = -x*y + 59 - 32 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 74\/592 + 1\/(-72). Put -3\/2, -4, v, -2\/7 in descending order.\nAnswer: v, -2\/7, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -19*v. Let z(n) be the third derivative of -n**5\/60 - 2*n**2. Give z(g(h)).\nAnswer: -361*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (7 - (-3 + 8 + (-4 - 2))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -17\/12*m**5 - 4*m**4 - 26*m**2 + 0*m + 0 + 0*m**3. What is the second derivative of d(v) wrt v?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 + 4*s - 4. Let u(l) = 7*l**2 + 5*l - 5. Let g(a) = 4*u(a) - 5*z(a). Let b(v) = -8*v. Determine b(g(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 3, b: 5, m: 5}. What is prob of sequence ee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 80*v - 68. Let i = -287 + 290. What is the remainder when x(i) is divided by (-2)\/8 - 282\/(-8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 360495170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186678 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 237*f - 236*f - 6. Calculate the smallest common multiple of 1464 and f.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15134.01 to the nearest one hundred.\nAnswer: -15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + q**4)*(-12198 - 3465 - 6481 - 26895 - 12408).\nAnswer: -61447*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n + 76. Suppose 109 = -u + 106. What is the tens digit of b(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*-3*((sqrt(143)\/(sqrt(539)*-1))**2 + (sqrt(1300) + 2)**2*-3).\nAnswer: -1725026\/49 - 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47859.57m in micrometers?\nAnswer: 47859570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*o + o = 37*o - 95. Which is greater: -5\/221 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/21)*o)\/o*o**12)**(1\/11) assuming o is positive.\nAnswer: o**(250\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*w - 3 = 2, -20 = 4*w. Sort -5, -1, t in increasing order.\nAnswer: -5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9391*l**2 + 3583*l?\nAnswer: -18782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 53*s + 741. Calculate the remainder when 226 is divided by g(28).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-6)\/(2 - 32)). What is the second smallest value in 0.2, -0.2, 0.3, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1909, 6, -1 in ascending order.\nAnswer: -1, 3, 6, 1909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, 0.2, 11.7, -0.5, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -343 or -345?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*n**2 + 41*n**2 - 9 - 4*n**2 - 3*n**2 + 3*n as k*n**2 + l + f*n and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10 - 6\/3) + -3. Let m be (12\/(-20))\/(1\/s). Let f be m\/(-6)*(-16)\/6. Are 4 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9290 = 13042. What are the prime factors of d?\nAnswer: 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2105 = -727*r - 11975 - 5549 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180523 divided by -7?\nAnswer: -25789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4331*t - 1517*t - 4437*t - 243359 - 75476 = 0 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11086 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4570 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(76)*2 + sqrt(76))\/sqrt(4) - (sqrt(19) + 1*sqrt(19) + sqrt(19))*3)**2 + ((1*(sqrt(38) + (sqrt(152) - sqrt(38))))\/sqrt(2))**2.\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Suppose 23 = -4*h + o, -35 = -4*s + 3*h. Suppose s*c - 3*c = 16. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/4, 12 in ascending order.\nAnswer: 0.1, 3\/4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/334, 0.1, 3?\nAnswer: 1\/334","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 54*v - 241. Let i be s(49). Let a(c) = -c**3 - 4*c**2 + 7*c + 4. Let k be a(-5). Let t = 15 + k. Solve -i*j + j = t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.2, 39, -0.4 in descending order.\nAnswer: 39, -0.2, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)*m)**(3\/8)\/(m\/(m**2\/m))**(-27) assuming m is positive.\nAnswer: m**(21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 86937, 347702, 782319, 1390794, 2173133, 3129342, 4259427?\n\"Answer: d**3 + 86920*d**2 - 2*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 3021?\nAnswer: 9063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -43. Suppose 3*j - 18 = 3*t, -3*t - k + 3 = 0. Let w = -52 - -63. Solve 4*s = -n - w, 6 = 5*s - j*n + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16130, -1\/7, 3, -4, -11\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 1, y: 2, w: 1, v: 1, f: 1}. Give prob of picking 1 f, 1 y, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*m = 303*m + 8880. Let l = -69 - -180. Calculate the greatest common divisor of m and l.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 2*w - 8. List the prime factors of b(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p - 12. Let n(s) = s - 1. Determine -3*h(t) + 30*n(t).\nAnswer: -6*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, 27, 27, 41, 75?\n\"Answer: i**3 - 2*i**2 - 9*i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(1008)*3 + 5)**2 - (1 + (sqrt(1008)*-3)**2 + 0)*4.\nAnswer: -27219 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*m - 21*m - 9. Differentiate -10*r**m - 4*r**3 - 26*r**2 - 9 + 16*r**3 with respect to r.\nAnswer: 6*r**2 - 52*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 14 - 6*n**2 - 11 - 3 - 3. Suppose 3*x + x - 12 = 0. Let r(i) = i**2 + 1. Give x*r(h) + t(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/2*8\/(-210)*-418*(-335)\/2948?\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyyyyoyyuyyuty. What is prob of sequence yuuy?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**2 + 6811*o - 11*o**2 - 9*o**2 - 6819*o in the form d*o + b*o**2 + l and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 602599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 4*o**3 + 280. Let y(x) = 9*x**2. Calculate u(y(j)).\nAnswer: 972*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1658.752 and 1882.2?\nAnswer: 223.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2 + 305708*i + 1019060 = 0?\nAnswer: -10\/3, 101906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/30 - a**4\/12 + 29*a**3\/6 - 40*a**2. Calculate the remainder when h(-10) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449 + 545 + 443 + 2*m**3 - 58*m**3 - 1436.\nAnswer: -56*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(36)\/sqrt(108).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 4*i**2 + 2*i**2 + (i**2 - 4*i**2 + 5*i**2)*(-1 - 3 + 5 + (-1 + 3 - 1)*(1 + 1 + 0) + 0 + 0 + 1 - 1 + 1 - 1) + i**2 + 475 - 475 + 37*i.\nAnswer: 10*i**2 + 37*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13262731 is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 + 851\/7. Let x = v + 29\/35. Find w such that 2\/5*w + 0 - w**4 + w**2 - x*w**3 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -872182187\/24 + 36331648. Let o = b - -9280. What is the common denominator of o and 33429\/(-957) + 35 + (-1)\/((-783)\/(-2577))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 2:25 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**2 + 0*z**2 + 0*z**2 + 2*z + 143 - 6*z**2. Is j(0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/5*(2 + 4\/(-3)). Let u(x) = 5*x**3 + 6*x**2 - x - 8. Let l(h) = -2*h**3 - 3*h**2 + h + 3. Let s(f) = 7*l(f) + 3*u(f). Determine s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.00478 + -115.90478. What is the biggest value in -5, -2\/5, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -43, -1636, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66340821 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 - 17)*12\/(-2). Suppose 17*r - c*r = -493. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/(-4) + 2\/8. Let a(n) = b - n + 8*n + n**2 + 2*n. Let h be a(-8). Calculate the highest common divisor of h and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 974 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466572 a multiple of 839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -18*p**3 - 30*p**2 + 60*p - 24. Let j(d) = d. Let g(h) = -4*j(h) - v(h). Solve g(k) = 0.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-2)\/(-4))\/((-1)\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c**3 - 60*c**2 - 2*c - 16. Determine k(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*4*(sqrt(96) + 1*sqrt(96)))\/((sqrt(128) - (sqrt(128) - ((sqrt(128)*-1 - sqrt(128)) + sqrt(128))))*-5).\nAnswer: -2 + 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50047 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - -168. Let o = -12 + 42. Let n = o - 7. What is the remainder when y is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581601027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 2*h - 9. Let c = -119 + 120. Let y be ((-150)\/(-12) + -11)\/(c\/(-6)). Let g(q) = 8*q**2 - 9*q + 37. What is y*t(d) - 2*g(d)?\nAnswer: 2*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 8*k**2 + 9*k + 2. Let x be r(-9). Differentiate -x*q**4 + 1 + 0 + 0 + 2 with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20970 divided by -257.\nAnswer: -20970\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -9 - 9. Suppose 3*f = m*j - j - 105, 5*j - 85 = -f. Suppose -4*a - 44 = -3*l + j, a = -2*l + 56. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = -11 - 89. Calculate the highest common divisor of g and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/98378839 and 99\/10.\nAnswer: 983788390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-5)\/10)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + -b?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 412*g + 1. Let i(u) = 133*u**2. Give m(i(b)).\nAnswer: 53067*b**4 + 54796*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u + 277. Suppose 122 = -23*i - 62. What is the tens digit of q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 less than -172?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -206, -232, -244, -242, -226, -196?\n\"Answer: 7*c**2 - 47*c - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(-9 + 4) - (-22)\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -19. Let t = -2 - z. Let k = 3.82 + 1.18. What is the fourth biggest value in t, -4, -0.2, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 8*g**2 + 8*g + 5. Let h(k) = 3*k**2 + 20*k + 2. Let j be h(-7). Let f be (j\/(-15))\/(1\/(-15)). Give x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -1 + 3677 + -3802 - (1 + -1 + -6).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1281 + 587 = -13*l - 603 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 17. Let w be (-4464)\/(-9610) + 6\/93*-1. Which is the third biggest value? (a) -0.5 (b) -0.1 (c) w (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1411 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -1b?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -216720530 divided by -43344106\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7714 minus 173?\nAnswer: 7541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 538 - 536. Let i(p) be the first derivative of -10 - 3\/2*p**m + 0*p - 3*p**3. What is the second derivative of i(s) wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47557 times -1.6?\nAnswer: 76091.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from yahhhyalyy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 3*p**2 - 3*p - 1. Let d be s(4). Let j be ((-90)\/32 + d)*-4. Sort -4, 2, j in increasing order.\nAnswer: -4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2891 - 57759\/20. What is the common denominator of -101\/268 and h?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*d**3 - 1 + (0*d**3 + 4*d**3 - 2*d**3)*(1 + 1 - 4) + 6*d**3 + 7*d**3 + 6*d**3 + 0*d**3 - d**3 + 3*d**3.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5925*c + 12064. Give j(2).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 = -15. Suppose x - 4*x = -v. Suppose x*z - 2*n - 12 = 0, 0*z - 36 = -4*z - 4*n. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114559 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -20. Let w be (4 - (-1 - -7))\/(d\/(-2)). Let -2\/3 - 8\/3*k**3 - 8\/3*k - 4*k**2 - 2\/3*k**w = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b1c (base 13) to base 14.\nAnswer: -3135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, t: 1, o: 2, q: 1, a: 1, z: 2}. What is prob of picking 1 t, 1 a, 1 e, and 1 o?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 1. Suppose -6 + k = 3*b. Solve j = 5*j + 12, 8 = -b*z - 2*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -15*b + 94*b - 72*b + 1 - b**2 - 16*b. Calculate w(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((7 + -55)\/(-8))\/2. Solve 5*g - d*g + 4 = 4*i, -i - g = -4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q**3 - 1820*q**2 + 6880*q = 0 for q.\nAnswer: 0, 4, 344\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283923 is divided by 3547.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 231 = -4*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w + 107 = 16 + 46 + 45. Find h such that w - 1\/2*h - 2*h**3 - 2*h**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112022 - 122212012001?\nAnswer: -122211122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 37, 5761, -3, -4.\nAnswer: -13, -4, -3, 4, 37, 5761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3316 + -2214. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**3))\/r*r**(-2\/5)\/r)**(-49) assuming r is positive.\nAnswer: r**(1568\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 783899 and 725.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*f + 199, -4*u - 26 + 210 = -4*f. Let a = 19 - -81. Let z = f + a. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -23*z + 45. Let i be t(2). Let p(h) = 27*h**2 + 5*h + 6. What is the units digit of p(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -175.1272.\nAnswer: -174.9272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g**3 + g)*(-5 + 5 - g) - 81*g**3 + 81*g**3 + 11*g**4.\nAnswer: 14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 70 = -5*m, -m - 4*m + 1986 = -40*k + 1711 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*f**3 + 676*f**5 - 666*f**5 - 2*f**3 - 98*f wrt f?\nAnswer: 200*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-11 - -17) + -3 + 2 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:10 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1956)\/84*1 + (-110)\/154?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29551.96292 to 0 dps.\nAnswer: -29552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 21\/18 - (-764624)\/96 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1971 = -102*d + 29*d. What is the least common multiple of 18 and d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 6. Let f be y(-12). Let x = f + 5. What is the remainder when 43 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Suppose 5*v = 2*k + 23, -11 = 3*v + q*k + k. Suppose -5*g = -4*n - 66, -5*g - v*n + 71 = -2*n. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 28 = -3*m. Which is bigger: m or 2\/183?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31652, 126282, 283896, 504500, 788100, 1134702, 1544312?\n\"Answer: y**3 + 31486*y**2 + 165*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 5:25 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b. Let g(d) = -20*d**2 + 5*d. Let s(a) = 2*g(a) - 10*u(a). What is the second derivative of s(y) wrt y?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1.7, -6, 5, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83, -153, -223, -293, -363, -433?\n\"Answer: -70*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4212 = -30*v - 265*v + 1393 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {g: 1, v: 2, a: 3, k: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1346653 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m = -y + 39, -4*y + 60 = 4*m. Let w = -56 - -29. What is the remainder when (16\/m)\/((-3)\/w) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -15*g**5 + 471*g**4 - 3354*g**3 + 4632*g**2 + 22560*g - 54912 = 0.\nAnswer: -13\/5, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -39. Let k = h - -1. Suppose k*f = 7*f + 266. What are the prime factors of f?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-3) - -2)*((-132)\/(-11))\/1. Solve 4*i + 8 = 4*n, 5*i + 0 = 4*n - a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 10*g - 7. Let h(u) = 3*u**2 - 11*u - 8. Give -5*h(q) + 6*y(q).\nAnswer: 3*q**2 - 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/60 and -109\/114.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z - 1\/105*z**7 + 0 - 29\/24*z**4 + 0*z**6 - 30*z**2 + 0*z**5 + 0*z**3. Find the second derivative of d(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/1*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*j + 27*j + 874. Calculate the greatest common divisor of 2432 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(3\/8))\/(x\/((((x*x*x*x\/(x*x**(1\/7)))\/x)\/x)\/x)*x))\/((x**(-13)\/x*x)\/(x**(1\/3)\/x*x*x)) assuming x is positive.\nAnswer: x**(2153\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = m - 2*x, 0 = -5*m + 5*x - 5. Suppose -4*w = 546 - 566. Solve -m*d - 2*r + w + 3 = 0, 4*d = 3*r + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 184.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1db2 (base 14) to base 3.\nAnswer: 21110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115.48 + -31.48. What is the fourth biggest value in l, -3\/5, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*s + 290 = -241, -3*s - 261 = -2*c. Suppose -2*a + 6*a - c = 0. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.3. Let w = g + -0.3. Suppose 364*m - 358*m = -30. Sort m, 1\/3, w.\nAnswer: m, w, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - v**2 + (-1 - 1 + 3)*(-v**2 + v**2 + v**2) + 2*v**2 + 3*v**2 - 7*v**2 - 3*v**2 - 3*v**2 + 5*v**2)*(3*v**2 - 15*v**2 + 10*v**2 + 28*v).\nAnswer: 6*v**4 - 84*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*c + 5*c - 2422 = -21*c + 399 for c.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(117)*-1 - sqrt(117) - sqrt(52)\/sqrt(4)*-5))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3869560 to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 30. Factor -9*p - 11*p**r + 6 + 5*p**2 + 9*p**2.\nAnswer: 3*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.9, -0.1, 1\/3.\nAnswer: -0.1, 0, 1\/3, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417024 divided by -768.\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -6*k + 1476. Suppose -182 = 2*s + k. Let a = -156 - s. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + p - 5)*(1 + 0 + 3).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3512604*i**2 - 10474871*i?\nAnswer: -7025208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10*z + 92. Let t be i(9). Let l(y) = -3*y**3 + y + 2. Give l(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.42284 and -5.\nAnswer: 92.1142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 21*l + 51. Let y be g(8). Let o = y + -184. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/5)\/(-9*(-18)\/1215))\/(78\/(-780)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29309, 0, -2.\nAnswer: -2, 0, 29309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by -15169533?\nAnswer: -88\/15169533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 2, b: 1, m: 4, h: 1, r: 3}. Give prob of sequence uh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*p - 342*p - 24 = 0. Solve -4*k + 3*m = -16 - 2, -5*m - p = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15034 + -5111444?\nAnswer: -5130522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**2 - 8*x + 8. Let p(h) = 2*h**2 + 3*h - 3. Let i(r) = -8*p(r) - 3*v(r). Let c(z) = -58*z**2. What is c(i(o))?\nAnswer: -232*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428099.\nAnswer: 7, 23, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9*k = -70. Suppose k*j - 3*j - 297 = 0. Calculate the greatest common factor of 243 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -v - 7, g - 4*v - 1185 = -1178 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17052 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3927, -3319, -2305, -885, 941?\n\"Answer: 203*g**2 - g - 4129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4650486044 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2\/35, 105, -1\/3 in descending order.\nAnswer: 105, 6, 2\/35, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*k - 39888, -4*k = 3*r - 7*k - 39888. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14368092 and 0.087339.\nAnswer: 14368092.087339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 154407 divided by 3\nAnswer: 51469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 22*d. Let n be y(12). Let l = n - -118. Is 2 a factor of (14 + -3 - l)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 4 + -1 - 8. Let c(n) = 3*n**3 - 2*n**3 + 9*n - 4*n - 8 + 8*n**2. Let k be c(i). Solve -8 = -k*m + 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 275, 598, 1033, 1574?\nAnswer: 2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148 - -147.999952. Round b to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 139354 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20222331100 (base 4) in base 5?\nAnswer: 1040214404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 - 92. What is the remainder when 109 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 2.3. What is the closest to 0.2 in -0.3, b, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -97 - 12?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 182534 to the power of 1\/2, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 - 2)) + 13 + -216 + 132.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 0*j - 10716 = -10*j. What are the prime factors of j?\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 12:28 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 220\/29?\nAnswer: 220\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/10)\/((-2)\/(-5)). Suppose -a*q + 10 = 5*u, 3 = -5*u + q - 2. Let j be 4\/(-4) + 4\/((-6)\/3). Put j, -4, u in descending order.\nAnswer: u, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0 - 4. Solve -x*s + 4 = 2*b - 0, -20 = 4*s - 4*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -26*n**3 - 22*n**2 + 112*n + 120. Let m(s) = -30*s**3 - 23*s**2 + 113*s + 120. Let d(g) = -6*m(g) + 7*x(g). Let d(w) = 0. What is w?\nAnswer: -12, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 7074332.\nAnswer: 3\/1768583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.02 rounded to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8362*f**3 + 5*f**2 + 112*f + 326. Is h(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/6 - (-6)\/(-9). Suppose -8 = -2*v - 2*r - r, -4*r - 8 = 0. Suppose z = v + a. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156\/14 - (152\/(-28) + 5) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35495 > -35495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 + 5)*(14*d - 3*d + 12*d) - 2*d + 4*d - d)*(0 + 1 + 1).\nAnswer: 462*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1402*a**2 - 2819*a**2 + 1420*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let u(x) = -2*x + t*x + 8 - 2. Let r = -137 + 146. Let v(k) = 2*k + 13. Determine r*u(o) - 4*v(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -57, -0.07, 8\/11, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 1 = -489. Suppose 45 = -44*y + d*y. What is the third derivative of 17*r**2 - 13*r**5 - y*r**2 + 17*r**2 wrt r?\nAnswer: -780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3\/2 + 687*h**2 - 4143*h\/2 + 1383 = 0.\nAnswer: -461, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 17*i**3 + 389*i**2 - 1377*i - 24948 = 0.\nAnswer: -11, -9, 9, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -40, 5, 302, 3 in decreasing order.\nAnswer: 302, 5, 3, -40, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01322402835 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of (26 - 715\/26)*(-10390 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 3317.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 182 = 6*i. What is the greatest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 17. Suppose -12 = 2*b + b, -g*b = 5*v - 17. Solve a - m - 2 = 0, -2*a + v*a + m = -6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*m + 5 = 0, 5*s + 10 = 5*m. Let w(d) = -d + 3. Let o(x) = -x. Let y(c) = 3*o(c) - w(c). Is 3 a factor of y(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 23*i**2 - 47*i + 78. What is the least common multiple of 15 and m(-21)?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (3 + 127 + -7) - (-10 - 1)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 31 = -5*f, 11 = -4*l - 4*f - 21. What is the second biggest value in l, -5\/3, -2\/7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.01, 0, -39?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*h**2 - 32 - 346 - 97 - 102 - 147*h**2 wrt h.\nAnswer: -372*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(7)*-2 + 4 + 2*sqrt(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.3, 0.5, -135?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t + 64. Let q be z(0). Suppose -6*w + 2*w = -q. Suppose 152 - 2 = 5*s. Calculate the remainder when s is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5203, 4, 179, -2 in decreasing order.\nAnswer: 5203, 179, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2\/(-6)*-18. Let b(a) be the first derivative of a**3 + o + a - 8 - 3*a**3. What is the first derivative of b(c) wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Suppose -h + k = 1. What is the remainder when 7 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**5 - 1129672*m**4 - 158*m**2 - 13655*m wrt m?\nAnswer: -180*m**2 - 27112128*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*sqrt(95)\/sqrt(5).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 516 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 37970590 to the nearest 1000000.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let s = -0.1 - m. Let h be (2\/(-35))\/(1\/(-5)). Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1267 by -3215.\nAnswer: -1267\/3215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71200*x**6 + x**2 - 136*x + 52.\nAnswer: -8544000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1177 - -8479. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 150*z**2 + 91*z - 2407. What is c(-151)?\nAnswer: 6653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/3 - 2*s**2 + 2*s + 1. Let m be l(-4). Suppose -m*t - 2*t + 12 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*f**3 - 23*f + 23*f + (-2*f**3 + f**3 + 0*f**3)*(-65 + 218 + 48).\nAnswer: -211*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 347*c**3 - 4 + 10 - 700*c**3.\nAnswer: -1047*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9321 - 9350. Sort 13, 5, l, 0.\nAnswer: l, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1021604598 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 550 and 500.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**2 + 3*n**2 + 0*n**2)*(60 - 24 - 92)*((-3 + 0 + 1)*(3*n + 0*n - n) + 0*n - n + 0*n) to t*n + v*n**2 + i + x*n**3 and give x.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 616 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-2736))\/(2\/12)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0, -3, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/2675?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 33*n**2 - 190*n - 77. Calculate y(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*i**2 + 6)*(10*i - 10*i + 12*i)*(2*i - 5*i + 5 - 4) + (5*i**3 - 4*i**3 - 3*i**3)*(2*i - 2*i - i) + 5*i**4 - 2*i**4 - 2*i**4 - i**4 - 5 + 5.\nAnswer: 110*i**4 - 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-19)*(-1)\/((180\/(-15))\/12).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2960 is divided by 96.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**4\/12 + 2*h**3\/3 + 2*h**2 - 9*h. Let w be g(-5). Solve -2*f - 3*f - 4*j - w = 0, 0 = -f + 2*j - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22017\/1610 - -9\/230. Let 18\/7*u + 0 + 128\/7*u**3 + a*u**2 = 0. Calculate u.\nAnswer: -3\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 m when four letters picked without replacement from eddmvee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 - 13*h**4 - h**4 + 0*h**4 + 31*h - 20*h - 2*h**4 + (4*h**3 - 3*h**3 + 0*h**3)*(46 - 46 + 8*h) to u*h**2 + z*h + j*h**3 + g + m*h**4 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14218 - 14213. Sort i, -1\/3, 0.045 in decreasing order.\nAnswer: i, 0.045, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 16*l - 112. What is the remainder when 58 is divided by k(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1263, 1260, 1257, 1254, 1251?\n\"Answer: -3*k + 1266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.45, -0.5, 0.5?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 3\/5 (c) -5 (d) -1\/2 (e) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 407 - 118*a - 34*a**3 + 424 - 2*a**4 + 114*a**2 + 399 - 1190.\nAnswer: -2*(a - 1)**3*(a + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/330 + d**4\/33 - 86*d**2. Factor h(f).\nAnswer: 2*f*(f + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 8*p**2 - 23*p + 63. Let r be l(6). Which is the second smallest value? (a) -13 (b) 2\/27 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9961378033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2326, 2323, 2320?\n\"Answer: -3*v + 2329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*w - 5*w**2 - 19*w)*(-49*w - w**2 + 47*w + 6 + 19*w**2) to r*w**2 + q*w + c*w**3 + f*w**4 + s and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/15)\/((2 + 4)*(-7)\/(-140)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/56, -2\/13 in ascending order.\nAnswer: -2\/13, 1\/56, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 67?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c - 6 = 0. Suppose -80 = -c*t + 26. Suppose -5*d + 4*j - t = -486, 0 = -d - 3*j + 98. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11611.734 from 36.\nAnswer: -11575.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2\/d)**(-5\/14))**(-9)\/((d*d**11)\/d*d**(-11))**(-38) assuming d is positive.\nAnswer: d**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3864.51 to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11788*n**4 - 1712*n**4 + 687*n**4)*(0*n + 0*n + n).\nAnswer: 10763*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14368 and 378058.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/88032 and 157\/8230992.\nAnswer: 16461984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13752014?\nAnswer: 2, 17, 631, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2. Let p(k) = 3*k**2 + 6. What is p(b(n))?\nAnswer: 3*n**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-2) - (-45)\/1. Let z = -40 + x. Solve 3*l + 2 - z = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -30. Let o be (-16)\/(-3) - h\/(-9). Suppose 15 = o*n - 45. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 5294*h + 63681. Calculate w(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 + 326*v**2 - 216*v - 5. Let m be r(108). Suppose -3*f + 1 = 4. Put 1, f, m, 4 in ascending order.\nAnswer: m, f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 15*a**2 + 130*a - 9. Let i(q) = -2*q**2 - q + 1. Determine 6*i(z) + n(z).\nAnswer: 3*z**2 + 124*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 16 = -18. Solve -3*g = -2*l - 19, 0*g - 20 = -d*g + 5*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/17520 and 77\/90.\nAnswer: 52560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-5)\/((-875)\/(-4075)) - (-1)\/(28\/8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doddoododooooo. What is prob of sequence oodo?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*j = -4*p + 662, 2*j = 10. Suppose p = 6*m - 2*m. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**2 - 140640*y + 3800196 = 0.\nAnswer: -35187, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*x**2 + 2 - 1\/4*x**5 + 0*x**4 - 3*x + 7\/4*x**3 = 0 for x.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (0 + 9 + 2 - (74 - -20))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*c - 2 + 1 - 3*c**2 - 2*c**2.\nAnswer: -5*c**2 - 163*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 9 + 5*j)*(3 - 2 - 4) + (0*j + 0*j - j)*(-1 - 2 + 4) in the form x*j + v and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163 + -156. Calculate the remainder when 27 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 + 0 = 0. Suppose -4 = t - 5. Calculate the smallest common multiple of t and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56915136 and 6.\nAnswer: 56915136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6520 - 6494. Solve -d - 135 = h*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-12 - -31) + -23 + (-38 - 0)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(0 - -3) + (-60)\/(-2). Suppose -14*y + o = -4*y. Let f be y\/(-2)*(-38)\/3. Calculate the highest common divisor of f and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l**2 - 3*l + 2. Let s be u(0). Solve s*i + 8 = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/4 + p**3 + 2*p**2 - 2*p - 6. Let j be f(3). Suppose 3*u - 858 = -j*u. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 = -2*l. Suppose -3*j = -2*b + 7*b - 51, 5*b - 63 = j. Calculate the least common multiple of l and 16\/3 + b\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6 + 2 = 4*p, -221*b - 6 = -218*b - 5*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-4) + (-11580)\/240)*4\/(-3)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64a (base 15) to base 5.\nAnswer: -21140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**4\/11 + 196*g**3\/11 + 6*g**2.\nAnswer: -2*g**2*(g - 33)*(3*g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 2. Let v(z) = 10*z - 12. Let u(a) = -30*p(a) - 5*v(a). Let q(w) = -15*w. Calculate q(u(j)).\nAnswer: -150*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/3*(-8)\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13232076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -1213 - 18478. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 5\/4*k**4 + 10351\/20*k**5 + 14*k - 5\/2*k**3 - 3*k**2 + 0. Let i be v(-14). What is i rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y - 101. What is v(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53391690 divided by -15.\nAnswer: -3559446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4654, 4653, 4646, 4627, 4590?\n\"Answer: -w**3 + 3*w**2 - 3*w + 4655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -719 + 737. What is the highest common factor of 81 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.522 + -0.022. Sort -6, -0.1, 3, k in ascending order.\nAnswer: -6, -0.1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/4 and 2\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1439 or -59447?\nAnswer: -1439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 8*t. Let p be b(6). Let d be (12\/(-9))\/(-4)*p. Suppose -m - d*m + 215 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 35, -4 in ascending order.\nAnswer: -49, -4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/232 and 83\/6?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c**2 - c + 3. Is d(-3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 405, 426, 477, 570, 717, 930, 1221?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -52*u**3 + 3*u**2 + 2*u. What is the remainder when 105 is divided by s(-1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -112148480*z**3 - 112290560*z**2 - 142125*z - 45.\nAnswer: -5*(z + 1)*(4736*z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 0*m - 2\/7*m**2 - 2\/3*m**3 + 2\/7*m**4 - 30. Let v(h) = 0. What is h?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3514690149+1.43067\nAnswer: 3514690150.43067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 840064.\nAnswer: 252019.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 7 = -c. Let p = -51 - c. Calculate the smallest common multiple of p and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -112 - 40?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*j = 273 + 42, -1254*j + 1256*j = -132 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/3 - 2\/3. Suppose u = -3*b - 54. Let d = b + 26. Solve d*i + 5*m - 36 = 0, -i + 16 = 2*m + m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 44. Let k(w) = -99*w**3 - 4*w**2 - 8*w - 10. Let v be k(u). Suppose -5*o + 3940 = -5*a, 6*o - 7*o - 5*a + v = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-90)\/(-14) + (-1330)\/931. Let f be -1 + 1 - (-30)\/4. Let o = f + -8. Sort 1\/3, u, o in ascending order.\nAnswer: o, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 603*a**3 - 1215*a**2 - 13977360 wrt a?\nAnswer: 1809*a**2 - 2430*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*1\/(6\/(-2)). Let r = -1 + q. Suppose -2*b + 1267 = -w, 0*b = -r*b + 5*w + 1287. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 7*o**2 - 11*o. Determine u(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2\/3 + 53*o\/3 - 938\/3 = 0.\nAnswer: -67, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((110 - (-29 - 20)) + (7 - 21))?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*m, -m - 2*m = -o + 34. Let q be o\/(-7) + (-4)\/14. Let z(l) = -280*l + l**2 + 116*l + 1 + 169*l. Determine z(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 - 4*z**4 - z**4 + (3*z + 0*z - z)*(-3*z**3 + 2*z**3 + 3*z**3) - 2*z**4 - 3*z**4 + 7*z**4 + 7*z**4 + 4*z**4 + z**4 - 7*z**4 + z**4 + 3*z**4.\nAnswer: 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2570128g?\nAnswer: 257012800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -3 (c) 5 (d) -1 (e) -2\/15 (f) -1074\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315489 + 5.4.\nAnswer: -315483.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929526 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -607.5 + 24.5. Let q = i - -582.9998695. What is q rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = -10. Suppose -i = -y + 6. Suppose 0 = 4*o - 0 - y. Let p(l) = -l + 1. Calculate p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 12:35 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 12*r**2 - 114*r - 50. Give p(-15).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 247646311 to the power of 1\/2, to the nearest integer?\nAnswer: 15737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14770565749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.283 from 2.\nAnswer: 1.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12899?\nAnswer: 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*u + 2*f + 214, -55*u + 65*u + 3*f - 15 = -56 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:43 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/693*12)\/(10\/55)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, 0.08, -0.5, 0.51416.\nAnswer: -0.5, -0.26, 0.08, 0.51416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a + 3*a**2 + 17*a**2 + a**3 + 11 + a**2. Let m(v) = 4*v**2 + 2*v + 2. Give 11*m(z) - 2*u(z).\nAnswer: -2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40 and 5?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88282 + -54132. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 12.6. Let x = -1.694 - 0.206. Let c = x - m. Sort c, -2\/23, -1\/7 in increasing order.\nAnswer: c, -1\/7, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*c**2 + 86*b**2 - 8078*b*c**2 + 4 wrt c.\nAnswer: 2*b**2*c - 16156*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 3*i - 2*i**3)*(-22*i - 4*i + 44*i)*(5 - 3 - 4) as q*i + x + a*i**4 + n*i**2 + b*i**3 and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + k)*(k**3 - k - 2*k + k**3).\nAnswer: -4*k**4 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320 - 326 + 646 - 17*v**3.\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 1, -3 in ascending order.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 - 5*a + 2*a + 3*a. Let u(z) = 5*z. What is p(u(g))?\nAnswer: -100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7702*y**2 - 2566*y**2 - 2568*y**2 - 2571*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 395104070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 26 = -2*q + 2*w, -2*q + 4*w - 22 = 0. Let y be (20\/(-6))\/((-1)\/q). Calculate the common denominator of (-40)\/6*75\/y and -115\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -597269\/2 at most -298634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -0.6. Let v = -0.296 + w. What is v rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2664599901 to the nearest integer?\nAnswer: 51620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3225748 divided by 3428.\nAnswer: -941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 301.1 + -300. Let v = o - -7.9. Which is the second smallest value? (a) -0.3 (b) -3 (c) 2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 less than -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14802 - -14805. Solve 4*d + t*b + 8 = 17, 4*d - 5*b = -15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {n: 1, p: 1, o: 1, x: 1, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750*l + 773*l - 24*l**2 + 150*l**2.\nAnswer: 126*l**2 + 23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 442*o**3 - 2*o - 1848. Let h(r) = -884*r**3 + 5*r + 3693. Let n(v) = -2*h(v) - 5*z(v). Differentiate n(d) wrt d.\nAnswer: -1326*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/2 + -1 + -1 + 0. Suppose 3*o = -5*x + 2005, -1604 = -u*x + 2*x - 5*o. Round x to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 1. Let x(s) = -7*s + 8. Let c(d) = -4*l(d) - x(d). Suppose 0*p - 2*u = -2*p - 2, 4*u = -p + 19. What is c(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45557477 to the nearest integer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**3)\/a)*a)\/(a*a\/a**(3\/5))*(a**(1\/3))**(9\/7) assuming a is positive.\nAnswer: a**(141\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/10 + 2448*p**3\/5 - 9777*p**2\/2 + 12215*p = 0.\nAnswer: 0, 5, 4886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5148 + 0.03285166521.\nAnswer: 5148.03285166521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 412161184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 523356 and 13296?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -1\/20*h**5 - 2*h**2 + 0*h**3 + 0 + 47*h - 3\/4*h**4. Calculate p(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -7*h**5\/3 - 58*h**4\/3 + 137*h**3\/3 - 24*h**2 = 0.\nAnswer: -72\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 1881*n**2 - 27839*n + 281766. Determine b(-1866).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -259 + 261. Suppose y + 2*y - k*y = 0. Let r be 1\/2 + 57\/(-42). Are y and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 1 - 43*t + 12)*(15 - 1 + 2)*(t + 4*t - 3*t).\nAnswer: -1376*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021731 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 68282*b**2 + 17*b - 1. List the prime factors of z(1).\nAnswer: 2, 3, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9049516.\nAnswer: 2, 7, 46171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -156.9 (b) 3\/40 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2209286 by -1.\nAnswer: -2209286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2350, -2316, -2260, -2182?\n\"Answer: 11*i**2 + i - 2362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -5, -2*c + 2*y - 11 = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194.5298793 + 0.0024793. Let l = -0.0274 - y. Let u = l - 135.4. What is u rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -266, 0.3, 1\/3 in descending order.\nAnswer: 1\/3, 0.3, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 6, 5*z = 2*v - 1 + 30. Solve 0*w + z = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/7, 0.2, 10, 16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30819697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*p + 100, -3*s - 82 = 6*p - 2*p. Let a be ((-33)\/s)\/((-3)\/(-8)). What is the derivative of -2*q**4 - q**4 + a + 4*q**4 + q**4 wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n + 32*n + 43*n**2 - 49*n**2 - 68*n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 126*u**3 + 33*u**3.\nAnswer: -93*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - n**2 + 0*n**2 - 2*n**2 + n**2 - n**3 + 46*n**3 in the form h*n**3 + q + u*n + i*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 26.\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(11\/3)*s*s**(-5)*s*s assuming s is positive.\nAnswer: s**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -23. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g - 21 + 91 + 56 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*s + 92*s = -5. Suppose 1488 - 11998 = 4*c - 2*d, -s*d + 15 = 0. Let a = c + -1974. Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/11 in 0, -3\/10, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 3*v**2 - 5*v - 2. Suppose 7*k - 25 = 2*k. Suppose -k + 1 = z. What is the units digit of l(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -646*d - 1771 + 1771 + 5298*d as r*d + n and give r.\nAnswer: 4652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 5*x + 8. Let d be (12\/(-14))\/((-4)\/28). Let o be s(d). Let m(r) = 0 + 0 - o*r**2. Let l(b) = b. Determine m(l(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.07 (b) 3\/4 (c) -10171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/(-141))\/(1\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193823 is divided by 79?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 155 + 85 = 0. Suppose f = 4*f - 84. What is the remainder when f is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3769000 and 23260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 12. Put o, 4, 2 in increasing order.\nAnswer: 2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4654, -4664, -4664, -4648, -4610?\nAnswer: -4544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (30 + -19) - (-1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 + 12*o**4 - 48*o**3 - 192*o**2.\nAnswer: 3*o**2*(o - 4)*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 (base 6) in base 14?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13631\/7 + 1947. Let m = -185\/253 - -21\/23. Suppose -x = -0 - 2. Which is the smallest value? (a) -3 (b) t (c) m (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l**2. Let x(n) = -5*n**2 + n**2 + 0*n**2 - n**2 + n**2. Calculate g(x(r)).\nAnswer: 176*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-48)\/9)\/(8\/(-300)) is divided by 71.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/150 + m**4\/30 + m**2\/2 + 3*m. Let d(i) be the first derivative of j(i). Factor d(p).\nAnswer: 2*p*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 16\/11?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25183, 50309, 75423, 100519, 125591?\n\"Answer: -v**3 + 25133*v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8844 = 67*n - 335*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 13*v + 367. Calculate y(-11).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449113002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-30)*15\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:38 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.15, -27, -0.1, 2, 7, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 449750 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*k**2 + 51*k**3 - 61*k**2.\nAnswer: 51*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:48 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*112\/952\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(14\/24) + -3. Suppose -4*m = -x*m. Let h(v) = -v. Calculate h(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*f**2 + 2474*f**2 + 2489 - 2491.\nAnswer: 2734*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (-3*(sqrt(1573) + sqrt(1573) + -1*(sqrt(1573) + sqrt(1573) + 1 + sqrt(1573))))**2 + 3 + -2.\nAnswer: 198*sqrt(13) + 14166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2447 = -5*r + 7382, 5*r + 2505 = 2*d. What is d rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/12500 and 77\/18890?\nAnswer: 23612500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Let o(d) = d**2 - 8*d - 10. Let l be o(9). Sort 4, c, l in ascending order.\nAnswer: l, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1075\/450*(-6)\/(-4) and -38\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1356357 and 216.\nAnswer: 97657704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35924478913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 2*o + 8*o)*(3*o - 3*o + 7*o).\nAnswer: 77*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 45*z - 104. Let w be v(4). Suppose -74*f - 1816 = -w*f. Does 63 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.391 - 825.071. Round d to the nearest 10.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*l - 294 + 154 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62028823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 293ce5 (base 15) to base 10\nAnswer: 1987415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 + 14*v**2 - 2*v + 32. Let k be j(5). Let r be (-126)\/48 - k\/24. Which is the closest to -2? (a) -17 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1672 and 5643?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 22 + 39 = -3*m, -4*b - m = 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 19.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 376.1264ng?\nAnswer: 0.0000000000003761264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330 and 127320?\nAnswer: 1400520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 50 = -130 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n\/(n\/(n*(n*n\/(n*n**2*n))\/n)))\/n))**(40\/7))**(3\/32)*(n**(1\/4)\/(n\/n**(-4\/5)))\/(n**4\/(n*(n**(-3)\/n)\/n)) assuming n is positive.\nAnswer: n**(-278\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 5:55 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w. Let m(s) be the second derivative of 0 - 7\/2*s**2 - 4*s - 3\/2*s**3. Let q(g) = 5*g + 4. Let l(h) = -4*m(h) - 7*q(h). Give i(l(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 p, and 1 t when four letters picked without replacement from {x: 2, v: 1, u: 1, t: 6, p: 3}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*4\/8 + 0. Let v = 2058 - 2053. Put v, -3, d, 8 in ascending order.\nAnswer: -3, d, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 1082*l**2 - 2206*l**2 + 1094*l**2 - 13.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33\/524 - 17437\/39300. Find the common denominator of -57\/40 and a.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 171731, 172663, 173595, 174527, 175459?\n\"Answer: 932*a + 170799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -12*t**3 + 12*t**2 - 30*t - 3. Give l(3).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46394433 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 + 6*n**2 + 6*n + 7. Let c(s) = 5*s**3 - 7*s**2 - 7*s - 8. Let d(z) = -3*c(z) - 4*p(z). Give d(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101 + -12?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 11*u**2 - 3\/4*u**5 - 6*u + 0*u**3 + 0*u**4 + 0. What is the first derivative of g(w) wrt w?\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5\/3))**(-41)*((g\/((((g*g\/((g*(g**(-1\/11)*g)\/g)\/g))\/g)\/g)\/g))\/g)\/(g\/g**(7\/6)))**(-22) assuming g is positive.\nAnswer: g**(-1527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b - 7*b + 3*b + 2. Calculate u(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(180))\/sqrt(9))\/(sqrt(144)*-2) - (6*2*sqrt(40))\/(sqrt(8) - -4*(sqrt(24)\/sqrt(3) - sqrt(8))))**2.\nAnswer: 12005\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 4452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from nsonrngnnnrorhsno.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12758 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 323328, 322567, 321298, 319521?\n\"Answer: -254*q**2 + q + 323581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-294)\/(-2640)*-5 - 3\/(-8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 7*s**2 + 6*s - 3. Let z be v(4). Let f = -1107\/892 + -2\/223. Let j = 0.8 - -0.2. Sort f, z, j in ascending order.\nAnswer: f, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50791.86 rounded to the nearest 100?\nAnswer: 50800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 67 + 67 - 3*l**2 + l**2 + 2. What is the units digit of a(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 19*v**2 - 90*v.\nAnswer: -v*(v - 10)*(v - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + 525401435?\nAnswer: 525401422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -119 (b) -0.5 (c) 8 (d) -0.02 (e) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6071501 divided by 317?\nAnswer: 19153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4136 + -4136.646. Sort s, 0.3, 1 in decreasing order.\nAnswer: 1, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12069797*k**3 + 13*k**2 + 9*k - 3793.\nAnswer: 72418782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*g - 1262, 1228 = 5*g + 3*u + 3388. Let x be 1 + 1 + 864\/g. Let d = 316\/2145 + x. Is d greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2003?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 19 - 27 = 0. Suppose -l*k - 29 = -89. Suppose 13*g - k*g = -42. What is the greatest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 l when four letters picked without replacement from {l: 7, p: 2, z: 2}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9874025 millilitres in litres?\nAnswer: 0.0009874025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 6\/(-12)*-12 + 3.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-64))\/((-1)\/6). Which is the biggest value? (a) r (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*p**4 - 2*p**3 - 2*p**2 - 7305*p - 9320620 wrt p.\nAnswer: 16*p**3 - 6*p**2 - 4*p - 7305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-50)\/(h**(-4)*h\/(h*h\/(h**(-2)\/h))) assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-20 + 40 - 10)*(-i - i + i)*(0 + 7 - 3).\nAnswer: 80*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 10*m - 114. Let j = 104 + m. Let c(o) = -2*o - 13. Is 4 a factor of c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4790051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -f - 6. Let d = 55 - f. Is d greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -120*g + 1314. Give w(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 286465.8g?\nAnswer: 0.2864658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -15*j**6\/8 + 12*j**5\/5 + 33*j**4\/16 - 4*j**3 + 3*j**2\/2 - 33. Suppose m(v) = 0. Calculate v.\nAnswer: -1, 0, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*60\/(-50) - (-80)\/14. What is the closest to t in -4\/7, -14, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 322014*d - 322011.\nAnswer: -3*(d - 107337)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/292407773 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*r + 53 - 156, 0 = r - 4*w - 17. Suppose 2*k - 11 = -0*k + 5*p, -3*k + r = -2*p. Solve k = 3*c - 4*l, 4*c - 3*l + 2*l = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7) + 4*sqrt(847) + 2*(sqrt(1008) - (sqrt(1008) - sqrt(1008)*-3)).\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57552 and 2661648.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669748182.\nAnswer: 2, 3, 211, 529027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.58 + -0.68. Let j = 0.4 - z. What is the biggest value in j, -2, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**3\/18 + 41*w**2\/12 + 44*w + 4628. Factor s(f).\nAnswer: (f + 8)*(f + 33)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -609490.\nAnswer: -609489.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -64.9. Let c = 4.0717 - 0.0117. Let t = c + v. What is t rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -379 >= -381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -26. Let l be 1*(-68)\/(4\/(-2)). Let s = l + h. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + c = -4, 3*u + 2*c - 14 = 4*c. Suppose 2617 = u*g + 883. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5149)\/(-7588))\/(19\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 173 + -89. Suppose 4*q - i = -3*q. Suppose q = n - 58. 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 = 2*g - 2 - 42. Suppose 4*h = -5*p + g, 2*p + 2*h = 5*p. Solve -852*n**3 + 4*n**4 - 10*n**2 + 2*n**p + 848*n**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.6, -2\/5, 588, -0.3, 3\/8, -9?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5300122, -5300120, -5300118, -5300116, -5300114, -5300112?\n\"Answer: 2*a - 5300124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - 135\/(-33) - 60\/15 and -4\/17?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59.9 - -5.1. Let n = -64.898 + r. Round n to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2. Let f = -68 + 87. Let r(y) be the second derivative of 15*y**2 + 15*y - 34*y**2 - 3*y**3 + f*y**2. Give r(p(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1\/5, -3, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -876, -3485, -7834, -13923, -21752, -31321?\n\"Answer: -870*y**2 + y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, x: 7, a: 6, b: 1}. Give prob of picking 1 a, 1 x, and 1 d.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.2 - -1.2. Let p be (-2)\/7 - (8 + (-288)\/28). Let x be -39 - -44 - (0 + p). What is the nearest to 2\/3 in m, x, 19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55650000 to the nearest one million.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22109*f**5 + 8*f**3 + 440247*f**2 wrt f?\nAnswer: 1326540*f**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1481606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140968 and 5896.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 546 - 551. Suppose 4*t = -2*h + 24, -3*t + 2*h = 7*h - 32. Let x be 1\/((54\/t)\/(-3)). Which is the second smallest value? (a) x (b) 2.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h**2 - 6036*h + 6043. Give n(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 611 + 1423 = 2*d. Suppose s - 4*s + d = 0. Is s + -5 + -1*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1 (b) -0.3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 374, 519, 654, 773, 870, 939, 974, 969?\n\"Answer: -x**3 + x**2 + 149*x + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 22830 + (27 - (5 + 10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 923 and 972 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2847199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -14, 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2032628 tonnes?\nAnswer: 203262800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193866, -197737, -201608, -205479, -209350?\nAnswer: -213221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -1 - (-1 - 1). Let p be -1 + 2 + i + -2. Let s(g) = 2*g. Determine s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 224*d**3 - 12*d**2 + 16*d - 13. Is x(2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797*r + 4988 + 22803 = -536*r - 21530 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144.52353 minutes to days.\nAnswer: 0.1003635625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 5 = -3*i + 9*x, -2*i - 10 = 4*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 + 3*c - 6. Let a be v(-6). Suppose 22*w + 23 = -4*m + 79, -3*w = 36. What is the highest common factor of m and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*k**5*z - 8*k**4*z**2 - 306*k*z**2 wrt k?\nAnswer: -160*k**3*z - 96*k**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -8, 25 in decreasing order.\nAnswer: 25, 0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/4)\/(-5))\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p**1*p*p)\/(p*p**4*p))\/(p**(1\/2)\/(p\/p**(1\/8))))\/((p**1)**(-35)\/((p\/((p\/(p*p**0*p))\/p))\/(p*p\/(p\/p**(2\/11))))) assuming p is positive.\nAnswer: p**(3273\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-495)\/18*-2*3. Suppose 442 = -n - 5*w, -5*n = 4*w + 1029 + 1097. Let l = m - n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820*h - 60 = 805*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -157156 divided by -404\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216.2908828 + -2.2891428. Let i = 214 - s. Round i to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -20. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 249*h - 2238. Let f be m(9). Let n(z) be the first derivative of 9\/2*z - 3\/8*z**4 + 2 + 5\/2*z**f - 21\/4*z**2. Factor n(l).\nAnswer: -3*(l - 3)*(l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13426 plus 15566?\nAnswer: 28992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*i = 263 - 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 1. What is the remainder when s(10) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m**2 - m**2 - m**2 - 47 + 3*m - 9*m**2. Let l be s(-9). Solve l*b = 2*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*o - 1348 + 1348 - 30*o to the form c + g*o and give g.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 982 and 168?\nAnswer: 82488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z + 3*a - 31 = 0, -z = 2*a - 9. Let v be 1254\/21 + 2\/7. Let l be (8\/6)\/(2\/v). Calculate the highest common factor of z and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let w = -266\/5 - -53. What is the closest to 2 in 4, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 112 - 102. Let d(i) be the third derivative of -1\/8*i**4 + 3*i**y + 0 + 0*i + 0*i**3 + 1\/40*i**6 + 0*i**5. Let d(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 95 = 23*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1995 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -190, 4 in descending order.\nAnswer: 4, -4\/3, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovgg when four letters picked without replacement from {b: 1, v: 2, g: 2, o: 8, s: 2}?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35621281181 + -562531272618271\/15792. Let j = y + -3\/5264. Let z = -13 - j. Which is the second biggest value? (a) -2 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**4\/4 + m**3\/3 + 14. Calculate q(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or -151250?\nAnswer: -151250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152130649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*a = -54*a + 12. Sort a, 3, 1.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/5 - 461243*g**2\/5 + 10637393624*g - 31911350640 = 0.\nAnswer: 3, 230620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -8. Let j = c + 5. Suppose -2*r - 17 = -4*r + 3*k, -22 = -4*r + j*k. Solve -1 + r = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13229317, 13229315, 13229313, 13229311, 13229309?\n\"Answer: -2*s + 13229319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -22*m**3 - 4*m**2 - 19. Let j(h) = -45*h**3 - 7*h**2 - 39. Let r(p) = -7*b(p) + 4*j(p). Differentiate r(v) with respect to v.\nAnswer: -78*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21304, 170555, 575716, 1364743, 2665592, 4606219, 7314580?\n\"Answer: 21326*n**3 - n**2 - 28*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 136 = 5*o. Suppose 0*z = a + 3*z - o, -91 = -4*a + 3*z. Let x be (-10)\/a - (-62)\/5. Solve -4*u = -2*f - 20, -u - 4*f - x = 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15078 by -2.\nAnswer: 7539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -49.92*-265\nAnswer: 13228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.33 + 0.07. Let t = m - 0. What is the closest to 2 in -5, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27805, -27732, -27659, -27586, -27513?\nAnswer: -27440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (-5 - (30 + -7)) + -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/2668*23*4\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 139002.68*-25\nAnswer: -3475067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + v + 1 + 0)*(1 - 2 + 5) to h*v + x and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32225343437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1425 = 9*b - 14*b. List the prime factors of b.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 19 = -51. Factor n**3 + n - 2*n**w - n**3 + 2*n**2 - n.\nAnswer: -2*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4 - 287*y**3 - 549796*y**2 + 11668412*y + 12217920 = 0. What is y?\nAnswer: -624, -1, 22, 890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -5\/7 (c) 0.042 (d) -2 (e) 3\/5 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -x - 1, 407*t = 405*t + 2*x + 1 + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3603101, -7206202, -10809303, -14412404?\n\"Answer: -3603101*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -8350961\nAnswer: -25052883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*f = -22*s - 122, 261696*s - f = 261699*s + 29 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 36, -5, 758423 in descending order.\nAnswer: 758423, 36, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003422 rounded to six decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 58*y - 62*y. Suppose 2*k - 1282 = 5*c, 632 = k + 10*c - y*c. What are the prime factors of k?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 6 + 6 - 13*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 - -160. What is the second derivative of 23 - 18*c**4 - 42 + 2*c - 2*c**l - 121 + 2*c**3 wrt c?\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 3\/(-10)*2. Let m be (79\/(-18) - -5) + 45\/810. What is the nearest to m in 3, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -20. Suppose -5*s + w = s. Calculate the remainder when 2 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124455*m**2 - 4*m**3 + 2*m**3 - 124269*m**2 to z + w*m**3 + v*m + d*m**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 41*d**3 + 2*d**2 - 1. Let n be m(1). Suppose -8 = -t + n. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 1. Let k(h) = 7*h + 7. What is -6*g(t) + k(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 629588683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5, -p = -d - 3*p + 6. Which is the closest to -0.5? (a) 0 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5512599 + 1374594?\nAnswer: 1374593.4487401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*f - 4*f. Suppose 3 - 6 = -f*i. Let h be 0\/(i*(-3)\/(-3)). Solve 0 = 2*m - k + 6*k - 10, h = k - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 - 10\/(-25). What is the second biggest value in 0.4, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.393107 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 52*o**3 - 200*o**3 + 52*o**3 + 47*o**3 + 3 + 59*o**3. Let q(d) = -220*d**3 - 65. Give 6*q(p) + 130*w(p).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-180))\/((-21)\/30)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.015, 5, 4, 2, 2\/11 in decreasing order.\nAnswer: 5, 4, 3, 2, 2\/11, 0.015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135842*r**3 - 2*r**2 + 103427*r wrt r?\nAnswer: 815052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o*o*(o\/(o*o*o*o*o*((o\/o**(-30))\/o)\/o))\/o)*o))\/o**(-2\/33)*(o**(-43)*o)\/(o*o**(-26)) assuming o is positive.\nAnswer: o**(-1681\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)*c\/(c*c**(-7\/3)*c))**(-29)*((c**(-1\/7))**(-2\/37))**(-26) assuming c is positive.\nAnswer: c**(172597\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1140830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4833696 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17374\/21 - -8 - (-2)\/3. Let z = f + -521. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367415.\nAnswer: 5, 29, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = 4*b - 2820. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1620 + -1615. Which is greater: a or 31.8?\nAnswer: 31.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**2 - 3*j - 2. Let n(c) = -2*c**2 - 44*c + 41. Let k be n(-23). Let w(q) = q**3 + 3*q**2 - 3*q + 34. Let l be w(k). What is z(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1886373\/(-720) + (0 - -4). Let t = a + 2616. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -11903?\nAnswer: -6\/11903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16831 + -16831. Sort 1\/8, 2, 1\/11, 0.05, z in decreasing order.\nAnswer: 2, 1\/8, 1\/11, 0.05, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19252332 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -755 = -9*w - 710. Let q(r) be the third derivative of 11*r**5\/60 + 5*r**2 - 12*r. Let n(p) = -72*p**2. Give w*n(d) + 32*q(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-1 + -10) - -17.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 4*p**2 - 3*p - 19. Give v(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153180*m*q**4 - 13*m*q**2 + 21935774*m + 689*q**4 wrt q?\nAnswer: 3676320*m*q + 16536*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11336141 is divided by 80?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60568 and 940160?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248772?\nAnswer: 2, 562193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -65*z**2 + 31*z. Let o(r) = -13*r**2 + 6*r. Let v(x) = -2*g(x) + 11*o(x). Find the second derivative of v(k) wrt k.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4401 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/37614 and 79\/4.\nAnswer: 75228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*d - 242 = 51*d + 2*l, -5*d + 1204 = -4*l. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 1, y: 1, i: 1}. What is prob of picking 2 a and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -25. Let u = -491 - -483.97. Let m = r + u. What is the second biggest value in m, 0.2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/4 - 0)*(-976)\/(-6) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) 0.4 (c) -0.2746 (d) -51 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*a = -0*p - 14, -2*a = 10. Suppose 2 = -s + 4. Solve -2*v**2 - 4*v - 2*v**s - 4*v**2 + p*v**2 - 2*v**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 11 + 3 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 - w - 1. Let x be f(-1). Let s be x*3\/(-9)*2. Suppose -18*v - 2*v = 5*v. Solve -4*h + h = s*i + 14, v = -i + 5*h + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 20*f + 3. Let q be m(20). Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = -4*o - 5*g, 3*o + 6 = 3*g. Let u be 0 - (4 - 4)*o. Suppose 3*z + u*z = v - 19, 0 = -3*v - 2*z + 79. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346686 times -5?\nAnswer: 1733430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1745370.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(931) + (sqrt(931) + 0)*1 - (sqrt(931) + 2 + 1)))**2*6.\nAnswer: -588*sqrt(19) + 5880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*d - 7*d**2 - 6*d + 4*d + 4*d**3 in the form j + l*d**2 + o*d**3 + m*d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 5542248.\nAnswer: -22168992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -351*a + 119*a + 171*a + 2*a**2 - a**2 + 4*a**2 - 2*a**2 - 3 + 3 - a**2 + (-4 - 8 - 24)*(2*a**2 + 2*a**2 - 5*a**2) + 4*a**2 - 3*a**2 - 4*a**2.\nAnswer: 35*a**2 - 61*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 777.3059ml in litres?\nAnswer: 0.7773059","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 73456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*i**5 - 266*i**4\/3 - 646*i**3\/3 - 436*i**2\/3 - 32*i\/3 = 0. Calculate i.\nAnswer: -8, -2, -1, -1\/12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9540276 rounded to 3 decimal places?\nAnswer: 2.954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.72\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7))**8\/((l\/(l*(l\/l**(-12))\/l))\/l**(-2\/9)) assuming l is positive.\nAnswer: l**(-398\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/756 and -82\/5103.\nAnswer: 20412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 - n + 1. Let d be b(1). Suppose 53 - 3 = d*m. Calculate the remainder when 17 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133890*w + 320 = -133850*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128*z**4 - 50*z**3 + 5*z**2 + 721*z wrt z.\nAnswer: 3072*z - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 7*r**2 - 8*r - 8. Let y be j(-6). Suppose m + s = 9, m - y*s = s - 21. Solve m*t + 12 = -n - 1, -n - 4 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.4, 5, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 469*b - 472*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 182*s + 181.\nAnswer: (s + 1)*(s + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30770*l + 69 = -4*h - 2*h + 30769*l, 4*h + 74 = -10*l for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 8*g - 4. What are the prime factors of -33*(-4 + g)\/3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, b: 10}. Give prob of picking 2 b.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -335*z - 13. Let x(c) = -115*c - 4. Calculate 3*j(o) - 8*x(o).\nAnswer: -85*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 5:30 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 507, -4 in descending order.\nAnswer: 507, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1072*i**3 - 37*i + 71*i**3 - 441*i.\nAnswer: 1143*i**3 - 478*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/(-6)*(-4)\/6. Solve -l*x + 4*x = -5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 4*q + 29, 2*g + 0 = 3*q + 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-54)\/(-19 - -25) - 115*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249703730.\nAnswer: 2, 5, 211, 118343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14665 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69164 is divided by 435.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -129684, -129676, -129662, -129642?\n\"Answer: 3*t**2 - t - 129686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) -0.2 (c) 363 (d) -8.97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.082 - -500.840883\nAnswer: 500.922883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ttduffttdrd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -17. What is the units digit of (0 + s)\/(2\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434404 times 369\nAnswer: 160295076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 810764126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*x + 397*x - 14 = -2*q, -2*q - 10 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1144*h**4*t**2 + 18*t**2 - 2 wrt h?\nAnswer: -4576*h**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 5 = -3*c - 4*f, 2*c - f = -9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 513*k**2 + 644*k**2 + 638*k**3 + 125*k**3 - 782*k**2 wrt k.\nAnswer: 4578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3 - 7 = 3*i, -4*l = 5*i + 28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q - 6. Let x be (q - 0)\/(2\/(-4)). Let j(g) = g**2 + 8*g - 13. Let l be j(-9). Sort l, -5, x in decreasing order.\nAnswer: x, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) + 175\/63. Let k be j\/(6\/10) - (4 + -7). Find the second derivative of -4*x**3 - k*x + 13*x**3 + 0*x**3 wrt x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 1, k: 3, m: 5, r: 1}. What is prob of picking 1 k and 1 m?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(((-10)\/25)\/(-13*60\/(-75))).\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 k, and 1 l when four letters picked without replacement from {l: 1, h: 2, g: 5, i: 5, k: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 5*a**2 + 11. Let z(t) = -2*t - 72. Let c be z(-34). Calculate n(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-10) - (-306)\/10. Suppose 3*v - n = -3*v. Let h = 36 - 11. Calculate the greatest common divisor of v and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 616\/5 or 123?\nAnswer: 616\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooj when three letters picked without replacement from {m: 2, o: 4, d: 1, j: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r - 19. Let x be a(-6). Find the second derivative of -14*b - 27*b - 42*b**4 - x*b wrt b.\nAnswer: -504*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 848 + a**2 + 5*a - 848. Let c be ((-2)\/(-3))\/(1\/(-3)). Let h(k) = -2*k. Determine c*v(n) - 5*h(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) + -1)*3 + sqrt(99)*2*6 + 4 + 3 + 4*1*sqrt(99) + 3)**2 + -1.\nAnswer: 840*sqrt(11) + 39648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.2, 2\/3, -3, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c + 415. Calculate j(-58).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31190 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -231510?\nAnswer: 1157550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 20*z**2 - 8*z - 15. Let b be a(-21). Suppose -3*y - 1140 = -5*y - 4*i, -4*i - b = -y. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-2 - -4) - (-21 - 106570) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(-3 + sqrt(108) + -2 + sqrt(108) + -4*sqrt(108)*-1 + ((1 + sqrt(108))*-5 - (sqrt(108) + 1)*-4)))**2.\nAnswer: -8100*sqrt(3) + 68229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 3 = 3. Suppose -4*p = -8 - l. Is 25 a factor of p\/(-5) - (-2262)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10884111 (base 9) to base 16.\nAnswer: 510988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-1) + 3 + 36. Suppose 2*y - g = y. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-3)\/(-18))\/(1\/(-2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -0.3 (b) -5 (c) -92 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 3*s - 5. What is the tens digit of z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - (-10)\/3. Suppose -1 = -a*v - 21. Let x = -2 - v. Solve -x*l + 5 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-4))\/(-1)*(176\/6215)\/8?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1011020111?\nAnswer: 1011020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:45 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56096226 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 3*s**2. Let p be a(3). Suppose -d - 4 = p, 3*d + 4 = -4*u + 16. Calculate the remainder when 35 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4536 and 19440?\nAnswer: 136080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*q, 12 = 5*i - 2*i + q. Solve -3*m - 13 = -0*m + y, i = -3*y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - -4*(sqrt(833) + sqrt(833) + 1 - sqrt(833)))*3)**2.\nAnswer: 2520*sqrt(17) + 187569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 117*t - 5693. Give z(30).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = 5*m + 21 + 21, -22 = 3*m + 2*u for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 4*p**2 - 2*p - 2. Suppose 1 = -a - 0*m + 3*m, -5*m = 5*a + 25. What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 5*h - 4. Let p be v(-3). Suppose r - 45 = -p*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.082 + 0.582. What is the fourth smallest value in 63, 1, f, 2\/3?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 5. Let k be 1\/(52\/28 + -2). Let m be a(k). Let s = -4845 + 4840. Sort m, 4, s in decreasing order.\nAnswer: 4, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12683.81 litres?\nAnswer: 12683810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -15*s - 472. Determine a(-33).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63b95 - 13?\nAnswer: -63ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 3*s**2 - 2*s + 3. Let c(r) = 2*r - 6. Let x be c(4). What is the units digit of m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(125) + 3)**2 + 4)*-1.\nAnswer: -260 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - 0.2. Let g be (4736\/(-72))\/(-8) + -8. Sort 1, p, g in ascending order.\nAnswer: p, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k + 25*k + 44*k + 22*k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(1\/(-21 - -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-32) + -3*2\/(-24). Sort 4, q, 2, 3 in decreasing order.\nAnswer: 4, 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -347 + 1201. Suppose 410 = -h*t + 856*t. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60289, 120576, 180863?\n\"Answer: 60287*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 3:30 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 3*m + 1. Let l be z(-4). Let k be (1\/l)\/((-5)\/45). Suppose d + 3*d - 8 = 0. Which is greater: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.6473 - 0.0927. Let d = 7.8 + i. What is d rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*((-3)\/(-2) + -1). Suppose y - 16 = -2*t, y - 8 - 20 = p*t. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 3022264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/(2\/(-68)). Suppose -44 = 3*g + 2*l - 260, 5*g - 316 = 4*l. What is the greatest common factor of o and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 12. Let q be ((-2)\/(-6))\/(y\/72). Solve 3*v + 7 = -q*a - 7, 0 = -4*v + 2*a + 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33509 minus 100.8?\nAnswer: -33609.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35784367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21259*g**2 + 8016*g wrt g?\nAnswer: 42518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1463*q - 1963 = 963 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*q**3 + 20 - 2*q**4 - 6 - 6 + 2*q**2 as m*q**3 + o*q**4 + x*q**2 + h*q + r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 90248 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, 6, 0, 908 in descending order.\nAnswer: 908, 10, 6, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22781 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 31367?\nAnswer: -31363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -849, -2039, -3837, -6315?\nAnswer: -9545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d - 10. Let t(y) = -y**2. Let r(a) = -3*a**5 + 12*a**4 + 2. Let m(b) = d*t(b) + r(b). What is the third derivative of m(v) wrt v?\nAnswer: -180*v**2 + 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2264 - 12?\nAnswer: 2252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -170. Let g be (-21)\/49 - 4*(-12)\/14. Calculate the greatest common divisor of g and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 2:17 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898764 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/12 - 12\/(-72). Let j(s) = 2649999*s**2 - 2*s - 1. Let w be j(-1). Suppose w = -q*h + 7*h. What is h rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6 + 0 + 2\/12\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/75 and -71\/613005?\nAnswer: 3065025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 15, 678*w = 677*w - 4*a + 6. Let k = 1 - 1. Suppose -3*z - 2 - 19 = k. Is z less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 4. Suppose 0 = -10*f + 7*f + 9. Let q = 26 - 16. Suppose f*k + q = -p, k - p = -3*k - 4. Let o(d) = d + 3. What is k*x(c) + 3*o(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 2. Let c be f(-2). Let w be c\/((-1 - 0)*2). What is the third derivative of w*s**2 - 2*s**3 + s**2 - 6*s**2 wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148*t**6 + 220*t**2 - 84*t**2 + 50*t**6 - 93*t**2 wrt t.\nAnswer: -11760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30138374 divided by 94\nAnswer: 320621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -13. Let z = f + 3. What is the third smallest value in z, -1\/5, -1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-110)\/(-297))\/(-5))\/((-10)\/(-75))\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - 1 - (3 - 6)) + -2. Let q(y) = -2*y**3 + 19*y**2 - 9*y + 7. Let i be q(x). Solve i = 3*g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 1 - 4 - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w. Let o(d) = -9*d**2 + 8*d. Let v(s) = 32*s**2 - 29*s. Let m(g) = -17*o(g) - 5*v(g). Determine m(y(u)).\nAnswer: -28*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, 3, 175 in decreasing order.\nAnswer: 175, 3, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560 and 34348.\nAnswer: 4808720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -88322356.1 to the nearest 100000.\nAnswer: -88300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 582730 divided by 15335?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-8 - 1 - -16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 12:17 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1235703 and 31716377?\nAnswer: 95149131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 v when three letters picked without replacement from nnnllnllllllvnnll?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, b: 1, f: 2, i: 4}. Give prob of sequence idb.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48390 - -23112. Let j = l + -20502. What is j rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471532*s + 968169*s + 3*s**2 + 525316*s - s**2.\nAnswer: 2*s**2 + 1965017*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -147*w - 19303. Give d(-131).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -153141758748809.\nAnswer: -153141758748809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3213 and 2919?\nAnswer: 446607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -198.0000113 - -198. What is k rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1969593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010069 to 6 decimal places.\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**5\/20 - y**4\/12 - y**3\/6 + 2*y**2 - 3*y. Calculate the smallest common multiple of n(0) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*h**2 + 2\/7*h - 2\/7*h**3 + 2\/7*h**4.\nAnswer: 2*h*(h - 1)**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203220 (base 4) in base 13?\nAnswer: -1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 197 = -207. Suppose -5 - 5 = 2*i. Is 2 a factor of -2*(-8 - (i + u))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 26*h - 3*h - 12*h = -520 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*f + f**2 + 76*f + f**2 as v + d*f + t*f**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/962939?\nAnswer: -2\/962939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 7. Suppose 5*y - 2*w = 71, 4*w + 1 = -11. Suppose 5*l + 63 - y = 0. Let v be a(l). Put 4, v, 0 in decreasing order.\nAnswer: 4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92a (base 11) in base 14?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404946145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1275 + 8?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 17*c - 66 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/15 - 3 - (16 - 17))*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29172, -58348, -87524, -116700, -145876, -175052?\n\"Answer: -29176*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 18660*a + 112068.\nAnswer: -3*(a - 6226)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -3, -4*p + t = 9. Let d = 1 - p. Suppose -d*a - 1 = -s, -3*s + 7*s - 2*a - 14 = 0. Solve -3*q = -s*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 7*j**4\/3 + 17*j**3 - 238*j**2 - 4828*j\/3 - 440 = 0?\nAnswer: -11, -6, -2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 o = -40.79 + 0.79. Let y = -39 - o. Let g be (-1)\/3 + (-1)\/6. Which is the closest to g? (a) y (b) -2\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y + 10. Let t = y + 8. Suppose w = -t*w + 72. What is the remainder when 34 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2362, -4 in ascending order.\nAnswer: -7, -4, 2362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 91*a = -94*a + 181*a + 48, -k + 4*a = 41 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0733151 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 8, f: 5}. Give prob of picking 2 e.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*j**2 + 127*j**2 + 122*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38982 + 39141. Calculate the remainder when 1745 is divided by h.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u**2 + 2*u)*(-u + 5*u - 5*u) + 167*u**3 + 103*u**3 + 370*u**3.\nAnswer: 637*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80290198?\nAnswer: 2, 97, 413867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**3\/3 + 11*v**2\/2 - 28*v - 6. Let r be l(8). Calculate the highest common divisor of r and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - 16.86. Let w = n + 16.93552. Let j = 0.036 - w. Round j to five dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6)*0 + (-4)\/(-12). Let -1\/3*l**2 - s*l + 2\/3 = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 6*d + 3402 - 3399. Let g(y) be the third derivative of -y**4\/24 - y**3\/6 + y**2. What is 4*g(i) + q(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 34\/42)*(-13 - -40). Let i = 173\/35 + o. Which is the fourth smallest value? (a) 4 (b) i (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03428 to three decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9936.111 tonnes?\nAnswer: 9936111000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-5)\/q)\/(q*q*q**(1\/2)))**(-1\/32))**(-5\/3) assuming q is positive.\nAnswer: q**(-85\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267*((-6)\/(-99))\/(((-120)\/(-2310))\/((-4)\/(-14))).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216018b (base 13) to base 3.\nAnswer: -201012001001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/66 - (-53)\/583\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2036.9 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1024 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/6 - q**2 - 4*q. Let c be i(-2). Suppose 3*j + l - 3*l - 98 = c, 0 = -3*l + 6. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)*-2 - sqrt(144))*-2)\/((sqrt(24)*-1)\/sqrt(6)))\/(2*sqrt(12)*3 - sqrt(48)\/(sqrt(4)*-2)).\nAnswer: -12*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 - -212?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68838 = -124*i + 266. Are i and -543 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 40. What is the second derivative of 3*l**3 - 18*l**2 + l - 6*l**o + 9 - 2*l**3 + 2*l**3 wrt l?\nAnswer: -18*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18917 + 19573. Calculate the least common multiple of 12 and q.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9141\/64 bigger than 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 848*p**2 - 4253*p + 35. Determine x(-5).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 2*f, -8*f = 21*a - 22*a - 41*f + 597 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00925452974 to five decimal places.\nAnswer: 0.00925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4531*i + 4422*i - 8868*i.\nAnswer: 85*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 555739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 + 24 = 0. Suppose 5*x - w - 6 = f, -4*f - 26 = -2*x. Let g be 5 - (f - (1 + -5)). Solve -2*q + o + 4 = -2*o, g*q + 40 = -5*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + i + 11. Let y be b(0). Let h = 12 - y. What is the units digit of 48\/h - (8 + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250258*a**3*v**3 + 8*a**3 + 6329*v**2 wrt v.\nAnswer: -1501548*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-345)\/(-23)*3\/(-270)*-12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/180 and 77\/274716.\nAnswer: 1373580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = -33*k + 813024. Suppose -4*v - d = -30139, -17*d + 13*d - k = -2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*y + 61, 0 = 5*x - 3*y + 32 - 315. What is the remainder when 160 is divided by x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10721 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5)*a)**(-39))**(-21)*(a\/a**0)**4*((a*(a\/(a\/(a*a**(2\/3)*a)*a))\/a)\/a)\/a*a*a\/(a*a\/a**6) assuming a is positive.\nAnswer: a**(17344\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778\/2 + 36\/(-6) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 14. Suppose 33*b - 32*b + 773 = c, 5*c + 3*b = 3873. Calculate the highest common divisor of c and r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1, 802, 15152\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1969100258 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 7*j = 3*j - 3, -2*o = 2*j. Suppose -o*i = i - 456. Suppose c - 2*c = -i. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 83*j - 8760. What is the least common multiple of j and 471?\nAnswer: 18840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-341079)\/(-472))\/141 + -5.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -141209*o**2 - 60*o - 11. Let g be r(-31). Round g to the nearest one million.\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 3, -991.\nAnswer: -991, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4638884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - a + 0)*(a + 7*a + a).\nAnswer: -9*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 150321241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*d + 588 = 6*h, 294 = 2*h + 3*d. Calculate the highest common divisor of 42 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 714354, 714371, 714380, 714375, 714350?\nAnswer: 714299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5 + 10. What is the common denominator of -2 + (153\/(-33))\/v and ((-24)\/220)\/(1\/15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 268 - 3793*g**3 + 3793*g**3 + 304*g**4 + 224*g**4 wrt g?\nAnswer: 2112*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84.57 + 109.\nAnswer: 193.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65060 (base 7) to base 14.\nAnswer: 5c67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 19. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -24*j. Let t(w) = -18684*w**2. Give t(f(x)).\nAnswer: -10761984*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147926612?\nAnswer: 2, 36981653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11124, -10338, -9552, -8766?\n\"Answer: 786*c - 11910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52588, 105177, 157766, 210355, 262944, 315533?\nAnswer: 368122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*v**2 + 11*v**2 - 20*v**2 - v**3.\nAnswer: -v**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/3*(-2)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/24324 and -35\/74990892?\nAnswer: 74990892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-140)\/(-6)*(4 - 1970\/(-25)).\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.74 + 0.34. Let i = -61\/2 + 30. Let t = 23\/30 + -1\/10. Put i, z, t in descending order.\nAnswer: t, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/12 - 7\/(-28). Suppose -5*a + 5*p + 450 = 155, 112 = 2*a - x*p. Let z = a + -20. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 = -2*u + 3*z, -5*u + z - 1234 = -u. Let f = -600 - u. Let c be f\/(-9) - 1\/3. Calculate the highest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 3, 0.2, -2\/35, 40?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -536\/63 + 58\/7. Let m = -1 - -1. Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -a - 3, 6*a = a + 5*p + 45. What are the prime factors of (-8)\/a + (-7008)\/(-18)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54186 is divided by 1260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -45*f**3 + f - 1. Let i be m(-1). Let k = 46 - i. Solve j = -k*p + 1, -3*j - j + 4 = 3*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0 + 2*i + 4 - 5 - 2. Let b be r(7). List the prime factors of b + 0 + 1\/(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 2*i**3\/3 + 30*i**2 - 60*i + 12419. Determine l(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 - 8*x**2 + 4*x - 9. Let b(i) = i**3 - i**2 + i. Let f(d) = -2*b(d) + g(d). Let t be f(6). Let o be 30*2*2\/6. Solve 0 = 2*h + t*h + o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 + 4570*m**3 - 13917168*m**2 + 14102681472*m + 56633693184.\nAnswer: -(m - 3048)**3*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 0.03, -4, -2\/7, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-6) - (-50)\/4. Suppose c = -3*b + 2. Is b + -2 + 3 + 33 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4303493420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5688.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 1\/54, -5, -1\/5, -4 in ascending order.\nAnswer: -5, -4, -1\/5, 1\/54, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 88. Let m = 0.1 - -2.9. Which is the nearest to m? (a) u (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 778, 1017, 1256, 1495?\nAnswer: 1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -188 + 186. What is the third smallest value in 3\/2, -5\/12, p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**2 - 4. Let a(n) = 1500 - 1500 - 27*n**2. Calculate x(a(r)).\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 223, 211, 189, 151, 91, 3?\n\"Answer: -g**3 + g**2 - 8*g + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1786 - 90.2786. What is a rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4 + 2*w**3 + 4*w**2 - 8*w = 0. Calculate w.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/221 and -146 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 41 - 40 + 17. What is the least common multiple of 2543 and z?\nAnswer: 15258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x. Let s(r) be the third derivative of -70*r**2 + 0*r**3 + 0 - 7\/24*r**4 + 0*r. Calculate s(i(o)).\nAnswer: -63*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 697620 and 88.\nAnswer: 1395240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146948*q**4 - 124635 with respect to q.\nAnswer: 587792*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3) + 0 + sqrt(3) + 1) + (sqrt(3) + -1 + 3)*4 + 5 + 5)**2.\nAnswer: 420*sqrt(3) + 741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 39. Suppose c*h - 15*h + 12 = 0. What are the prime factors of -3 + 32 + h + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 6*q**2 - 8*q - 6. Let c = -13 + 6. Let s be h(c). Suppose 5*u - 76 = g, 612 = 3*g + 585. Put s, u, 4 in increasing order.\nAnswer: s, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3144, 1970, 8, -2742?\n\"Answer: -394*q**2 + 8*q + 3530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13aa6012a + 2?\nAnswer: -13aa60128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -23984706.\nAnswer: -239847060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-12) - (-36450883)\/6438 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/1125421 and 94\/2148531.\nAnswer: 23633841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8088427*z**4 + 3266246*z + 2 wrt z?\nAnswer: -97061124*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 10*j + 15. Suppose -9*m = -4*l - 4*m + 40, 4*l - 72 = -j*m. Solve l = -4*x + 7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 - 5*b**2 - 480*b + 6. Let c(p) = -p**3 - 2*p**2 + 2. Calculate -3*c(h) + j(h).\nAnswer: -2*h**3 + h**2 - 480*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*g = -4, -17*g = -4*z - 13*g - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - o - 8*o + 115 = 3*r, 109 = 4*o - 3*r + 56 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*q - q - 20, -4*x = 4*q + 8. Sort q, -3, 4 in decreasing order.\nAnswer: 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*j - 10*j. Suppose -j = 3*g - 6*g. What are the prime factors of -117*(g - 28\/12)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29272*a**3*i**2 - 740*a**3*i + 7092*a**2*i**2 + 501*a**2 + 2 wrt a.\nAnswer: -175632*i**2 - 4440*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53.5 - -397.5. Let n = 454.41 - w. Let l = n + -3.4. Which is the nearest to l? (a) -1 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 19*v + 36. Let y be l(17). Suppose -2*b - 3*b + 47 = y*g, -4*b = -3*g + 13. Solve -w - 11 = 4*h, -3*w + h = 2*h - g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let q = -731\/1628 - -53\/148. Which is the nearest to -6? (a) 2\/5 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894778 is divided by 176.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(-884)\/7735?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0*b**3 + 0*b + 1\/20*b**5 + 0 - 3*b**2 - 1\/60*b**6 + 0*b**4. Find the third derivative of v(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551433771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 231 - 131. Suppose 5*n - 540 = -u. Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/2)\/((-3)\/(-4)). Let m(d) = 10*d + 3 + 12*d**3 + 0 - 13*d - 10*d**3. Calculate m(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -5\/3 (b) -5\/6 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.2 (b) -1\/6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1329.628 + -1331. What is b rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = -136*x - 1210 - 1583 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*(0 - 1). Put -5, -0.4, s in ascending order.\nAnswer: -5, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2 = -7*n + 12*n, 3*n = 5*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + ((-42)\/6 - -19). Let g(x) = -x - 1. Let f be g(-3). Put m, -32, f in decreasing order.\nAnswer: m, f, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 + 2*l\/5 - 3.\nAnswer: (l - 3)*(l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 2. Let k(a) = 331*a**2 - 21*a - 12. Calculate k(l) + 6*u(l).\nAnswer: 331*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*(-55)\/(-480))\/((847\/21)\/11)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ebdc3 (base 16) to base 7.\nAnswer: -11132366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -2001?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -448 (base 16) to base 10.\nAnswer: -1096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -3, -5\/6, 0.2 in decreasing order.\nAnswer: 0.2, -2\/11, -5\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppplpppppppplpp. Give prob of picking 2 l and 1 p.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c + 7*c - 4*c)*(-22 - 7 - 13)*(-5*c + 5*c + 5*c)*(6*c + 3*c - 3*c).\nAnswer: -11340*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y**3 - 4*y**2 + 7*y + 4. Let u(a) = 81*a**3 - 33*a**2 + 57*a + 33. Calculate -33*r(g) + 4*u(g).\nAnswer: -6*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4385484 days in weeks?\nAnswer: 0.4912212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 11. Let z(s) be the first derivative of -s**2 - 6*s + 9. Calculate z(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 102*t - 1661. What is b(20)?\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**3 - 55*o**2 - 75*o + 135 = 0.\nAnswer: -9, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 7160 - 7148, -10*i + 5*t = -100 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/(-100) - 36\/(-10). Let x = a + 6. Calculate the greatest common divisor of x and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let s(x) be the third derivative of -x**4\/12 + x**2 - 2. Determine s(d(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 - 13 - 6\/2. Let v(i) = 3*i**2 + 10*i - 1. Let r(c) = -4*c**2 - 11*c + 2. Let j(d) = -2*r(d) - 3*v(d). Determine j(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 5381751913.\nAnswer: 5381751908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*w**3 - 14*w**3 - 2*w + 9*w**3 + 0*w - 2*w**2 to o + i*w + d*w**3 + u*w**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + -9 + 644)*(-16)\/6. Let o = 2759 + x. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5)\/u)**(-9\/7) assuming u is positive.\nAnswer: u**(72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v - 2*v. Let p(u) = u**3 - 2*u - 1. Determine p(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - p - 3. Let a be v(0). Let o = a - -5. Suppose 5*l - 26 = j, -5*l + o*j + 29 = 2. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from {y: 1, d: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020530?\nAnswer: 2, 5, 7, 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1548\/172 + (0 - 9). Factor 16\/3 - 4\/3*b**2 + n*b.\nAnswer: -4*(b - 2)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39402 divided by 19701?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1721, -5, 5, -3 in decreasing order.\nAnswer: 5, -3, -5, -1721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 1:17 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*i, -i - 3*l - 2*l = 17. Let n be ((-6)\/i)\/((-15)\/(-10)). Let b(z) = 3*z - 1. Determine b(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 5) + 3 - (-2 + 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*t = -2192, -4*d - 9*t + 4*t = -1780. Is d a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34649 + 40423 = 69*v. Calculate the highest common factor of v and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 928655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*t - 20523 - 17538, 2*s = -t + 76104. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4249.83 minus -18?\nAnswer: 4267.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2246, 27 in ascending order.\nAnswer: 1, 27, 2246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40782 rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**3\/9 - 1976*o**2\/3 - 236220*o - 172211200\/9 = 0?\nAnswer: -155, 1792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 1099 - 1133 + 2245.\nAnswer: 3*h + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2 - 2)*(28 - 9 + 29 + 29) - 39*d + 13*d - 15*d.\nAnswer: 113*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2589322 months in decades?\nAnswer: 0.018824435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-2)\/(x\/(x\/x**1))**(3\/14))\/((x**(-2\/9)*x)**2*x**(-2\/11)\/x**(-1)) assuming x is positive.\nAnswer: x**(-815\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 953316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*c**2 + 461*c - 27491 wrt c.\nAnswer: 114*c + 461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -5*i. Let k be ((-4)\/(-5))\/(i\/10). Suppose 0 = z + z - 4*w + 28, -24 = z - k*w. Sort z, 1, 3 in decreasing order.\nAnswer: 3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -321 - -189. Let v = -132 - g. Suppose 12*z - 24 = -v*z. Solve d = z*i - 2*d + 17, 4*i - 1 = -d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2 + 62*m - 14. Let f be g(15). Solve f = -l + 5*w - 2, -l + 3*w - 10 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z - 39. Let g be f(-5). What is the greatest common factor of g and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 29 = -3*q, -3*x + 0*q = -2*q - 11. Let o(j) = 11*j**2 - 17*j + 3. Let i be o(x). What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4\/9)\/(t\/t**(-12))*t**21\/t**(1\/4) assuming t is positive.\nAnswer: t**(263\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(7\/105)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 6aa?\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*o - 20, -5*f - 6 = -5*o - 16. Let v(b) = 27*b**2 + 3 - 4 - 2*b + 0*b. What are the prime factors of v(f)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 g, and 1 i when three letters picked without replacement from {c: 2, i: 1, g: 2, v: 2, u: 7, s: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 102, -44, 4 in decreasing order.\nAnswer: 102, 4, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s - 1. Let y(p) = 0 + 81*p**2 - 82*p**2 + 3*p + 4. Give -3*n(z) - y(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1338.274, -3, 0.5 in descending order.\nAnswer: 1338.274, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 1324*v**2 - 104780*v - 799708.\nAnswer: -4*(v - 169)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10275, 10273, 10269, 10263, 10255?\nAnswer: 10245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20000202 - 102210?\nAnswer: 12120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26794 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8484 + -8483.5971. Let m = o - -0.0971. Which is the third smallest value? (a) 3\/5 (b) -7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/110831 or -1?\nAnswer: -25\/110831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -604?\nAnswer: -120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4076 + -2848. Calculate the remainder when b is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/27)\/((-4)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {k: 5, b: 2, o: 2, y: 3, n: 2, v: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = -4*q. Let z(a) be the second derivative of -5*a**3\/3 + a**2\/2 - 2*a. Let l be z(q). Solve 0 = 4*n + 4*i - 3*i + l, 0 = 5*n + 5*i + 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1227, 1606, 1979, 2346, 2707?\nAnswer: 3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 5*h + 20, 2*h - 3*h = -4*w + 1. Put -4, 2, w in decreasing order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34845 and 745545.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*r = 35, -3*g - 30*r + 32*r + 5 = 0. Calculate the least common multiple of 2203 and g.\nAnswer: 11015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}