diff --git "a/data/dm_maths/full_data/10489_11255.jsonl" "b/data/dm_maths/full_data/10489_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10489_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-5 + 2*f + 5)*(-3 - 18 - 18*f + 20*f).\nAnswer: 4*f**2 - 42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(104)*1 - sqrt(104)))\/(sqrt(88)\/sqrt(11)*-3 + sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8 and 155\/3016212.\nAnswer: 6032424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 400 - 375. Suppose b*s = 19*s + 1356. What is the remainder when s is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8 + 3 - 6*t + 38*t. Suppose o - 6*o = -10. What are the prime factors of z(o)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.2 - 7. Let l = j - 3.2. Let i = 1 - 1.2. Which is the closest to i? (a) 4 (b) l (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*u**4 + 2*u**2 - 2*u**2)*(2*u + 0 + 2 + 0).\nAnswer: 60*u**5 + 60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(1008) + -2)*-6.\nAnswer: 7 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -324 or -323?\nAnswer: -323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1643 = 720108*m - 720139*m for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 - 89.082. Let r = j + 26.082. Let f = 26.00037 - r. What is f rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -119, -199, -281, -365, -451?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22802*t**2 + 1772*t**2 + 22420*t**2.\nAnswer: 46994*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let r(n) = -2*n**2 + 26*n - 2. What is r(u(h))?\nAnswer: -2*h**2 - 26*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 21*i**2 - 298*i - 18. Does 30 divide b(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -862 divided by -39659?\nAnswer: 862\/39659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14363.2749 + -14365. What is q rounded to 2 decimal places?\nAnswer: -1.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70600 by 8.\nAnswer: 8825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385873?\nAnswer: 37, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001110111 + 10?\nAnswer: 111001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(2\/15)*z)\/z)*z*z**(2\/23)*z*z)\/(z**1*z*z)**(-12\/19) assuming z is positive.\nAnswer: z**(31781\/6555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 2*f + 0*f + 4*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/952 and -37\/5208.\nAnswer: 88536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 + 3*k**2 + 8*k + 2 + 2*k - 13*k in the form y*k + c + a*k**3 + d*k**2 + w*k**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2406508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-59)\/531*1*-174\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 25*a**4\/4 + 3*a**2\/2 + 11. What is the second derivative of x(u) wrt u?\nAnswer: 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*d - 777*d = -4*g - 2, -2*d - 2*g = 28 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.3 + -2.3. What is the nearest to 0.1 in -2\/11, s, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99c1 (base 16) in base 10?\nAnswer: 39361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 118 = -4*v - 5*u, -3*v + 4*u + 106 = 0. Suppose 4*f - 72 = -4*k, -4*f + 9 = -f. Calculate the remainder when v is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 + 1 = 0. Let u(b) = 3*b - 6. Calculate the remainder when 5 is divided by u(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/8262600 and -87\/100.\nAnswer: 8262600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4*r - r - 2*r + 1 - 1 + (1 + 0 + 0)*(0*r - 4*r + 3*r))*(-24 - 54 - 12).\nAnswer: 90*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978 is divided by 70.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1530 and 900?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1177*g + 28*g**2 - 1176*g + 2340*g.\nAnswer: 28*g**2 - 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 1, u: 1, x: 1, e: 1}. Give 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: Suppose -3*p = 3*v - 510, -2*v - 63 = -5*p + 822. Suppose 6*m = 11*m - p. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:48 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1186311 divided by 3.\nAnswer: -395437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12300596 and 12300596?\nAnswer: 12300596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -11. Let r be (25\/(-15) + 0\/2)*-3. Let d be 5500\/1350 - 2\/27. Solve -5*p - 2 + 10 = d*l, -r*l - 27 = -j*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4 - 4*v**3 + 4*v**2 - 24. Determine i so that x(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17896165 is divided by 524?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 - 2*w**2 - 11*w**3 + 209*w - 209*w - 1 - 10*w**3 as n*w**3 + o*w + i*w**2 + r + f*w**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(1\/(-1) - -2). Suppose v + 3*i - 12 = 0, l*i = -3*v - 5*i + 20. What is p in -1\/3*p + 0*p**2 + 1\/3*p**3 + v = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*2980\/89400*(-1)\/(-1)*-5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 12. Suppose -u + 3 = m, 2*m = -4*u - u + 9. Factor m - 2*d - d**l - 4 + 1.\nAnswer: -(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.354 + -0.646. Which is the fourth biggest value? (a) -2 (b) w (c) 2 (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15 = 5. Let a be x\/(-20) - (-9)\/4. Suppose 0 = -4*d - 4*c, -23*c + 2 = 3*d - 22*c. Solve -w = -a*w - d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 172*x**2 + 1468*x - 117. What is y(-163)?\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6447, 7822, 11563, 18852, 30871, 48802, 73827, 107128?\nAnswer: 149887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 747*t - 744*t = -31, -2 = 3*t - 1 + 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101710 is divided by 314.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 - -115b?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*b**2\/2 - 2*b.\nAnswer: -b*(23*b + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*m - 154 = 166*m + 163*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 27 = 5*a - a, 5 = -a + y. Let u = -4 - a. Let -5*v**2 + 2*v**3 - v**u + 7*v - 11*v + 4*v**2 = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014414848 rounded to 5 decimal places?\nAnswer: -0.01441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/23 and -25\/3?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)\/((-13)\/(-4290)*-50*12\/40).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 13*q**4\/6 + 11*q**3\/6 - 16*q. Find the second derivative of t(a) wrt a.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 740935109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q - 5. Let k be i(6). Suppose -2*u + k = 5*h, 4*h + u = 4*u + 11. Suppose h = -v + 2. Let n(b) = -b**3 - 2*b**2 + 4*b + 1. What is n(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1, 1\/11, 13, 5 in ascending order.\nAnswer: -1, 1\/11, 2\/5, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r - r**2)*(7 - 4 - 4)*(-78 + 60 - 162).\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) 0.4 (b) 10 (c) -21 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11204863 divided by 3\nAnswer: -11204863\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v**2 + 88*v + 1745. Give y(-15).\nAnswer: -1375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3 - 812464*g**2 - 8936620*g = 0.\nAnswer: -203105, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*266\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 4. Let b(y) be the second derivative of -y**4\/12 - y**3\/3 + 2*y**2 - 6*y. Let t be b(-4). What is k(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 173712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 8*n**2 - 12*n - 18. Let z be c(-9). Let m(o) = o**2 - 10*o + 12. Let h be m(z). Solve -7*t + h*t + 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15478505*a**3 - 9627158 wrt a.\nAnswer: -46435515*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 12*k**2 + 2. Let f be a(12). Suppose -2*u + f - 4 = 0. Let o be -5*(4\/55)\/1. Is o at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-126)\/(-49)*(15 - 1). Calculate the highest common divisor of 48 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p + 164. Let f be u(6). Is f at most as big as 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 1. Let x be z(1). Let p = -123 - -127. Let c(o) = -46*o**2 + o + p*o**3 - 44*o**2 + 88*o**2. What is c(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 11) to base 12\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 748282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*b + 133*b - 143160000 = 0. What is b rounded to the nearest 100000?\nAnswer: -23900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 28*h**2 + 74*h + 23. What is the tens digit of p(30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 236.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 9 = 5*k + 7, 5*h = -k + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*z = -226, -5*k + 2*z = 3*z - 362. Calculate the remainder when k is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5537.9 rounded to the nearest 100?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.2. Put -2, l, -0.2, -3\/2 in ascending order.\nAnswer: -2, -3\/2, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**2. Let b(g) = 14*g**2. Let v(t) = 5*b(t) + 6*s(t). Let l(y) = 6*y**2. What is v(l(m))?\nAnswer: -288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.10082 or -1?\nAnswer: -0.10082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j**(-1)\/j)))\/j)**20*(j**1)**10 assuming j is positive.\nAnswer: j**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*d + 80, -4*m - 15*d + 16 = -11*d. Suppose 7*s - 204 = 4*s - 3*y, -2*y = 0. What is the remainder when s is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 9:29 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608657 - 1638?\nAnswer: 1607019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-18 - (-3 - 2)) + -17 + 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35353 and 458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332873475.\nAnswer: 3, 5, 11, 403483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 6. Let p be q(-6). Let t be (3\/p)\/((-4)\/8). Suppose -k = -4 - t. Solve 0*w + k = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:49 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-28)*-2*((0\/2)\/(-1))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (1 + sqrt(192)))*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 3*c - 54. Let r(s) = 30*s**2 - 9*s - 24. Let h(d) = 6*d**2 - 2*d - 5. Let t(f) = c*h(f) + 5*r(f). Find the second derivative of t(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 791341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62239119.\nAnswer: 3, 53, 391441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c + 103*c**2 - 40*c**2)*(-3 + 2 - 13)*(c + 5 - 5) to f*c + o*c**2 + p*c**3 + x and give p.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/6*297\/3564\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p + 21*p - 40*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2422*h**2 - 854 - 1234*h**2 - 1185*h**2 + h**3 to m*h**2 + o*h + f + u*h**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 11:12 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 - (-124)\/(-14) - -5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 44\/(-48))*-2. Let t = 12914 + -12908. Let n = -0.1 + -0.1. Which is the second biggest value? (a) n (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 47 = 2*w + 4*v, 0 = w - 4*v - 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66 + -3?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/7*0\/(-31). Let c(j) = 2*j**2 + 4*j - 3. Let r be c(z). Put r, -3\/5, -0.03 in descending order.\nAnswer: -0.03, -3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 9*v + 316. Give m(12).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.43, -0.7, -3, -5, 4, -1\/9.\nAnswer: -5, -3, -0.7, -0.43, -1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(-136)\/1326*6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 3*x - 2*x)*(18519 + 28564 + 25706 + 14975) to j + a*x and give a.\nAnswer: 87764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3\/5 + 33*f**2 = 0.\nAnswer: -55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44039106?\nAnswer: 2, 3, 815539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 4\/8*-6. Let s be (4\/14)\/(1\/35). Let a be 1\/2 - 45\/s. Sort h, 0.3, a in increasing order.\nAnswer: a, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.15476441954 and -0.463.\nAnswer: -0.30823558046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-1 + 2)*2. Let r(o) be the first derivative of 4*o**3\/3 + o**2 - 2*o + 2. Let s be r(m). Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141744620 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/22)*h**(-4)\/h*h)\/(h**(-1\/4)*h**(8\/5)))**(-34\/9) assuming h is positive.\nAnswer: h**(6613\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - (2 - -1 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54, -64, 0, 138, 350?\n\"Answer: 37*q**2 - 121*q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*2*(-4)\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48789.\nAnswer: 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) - (-26)\/6. Let q = 506 - 506. Suppose -j*v - 1 + 16 = q. Solve -6 + 0 = -v*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312130 (base 4) in base 9?\nAnswer: -23564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 489033 and 6?\nAnswer: 978066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0.3, 5, 2\/3, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*c - 37*c + 112. Solve -4*h + 2*s - s = c, -h - 2 = 3*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-1)\/(-4*sqrt(100)).\nAnswer: 3*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 - 3*f + 4*f**2 - 3 + f**2 - 2*f**4 in the form j + u*f**4 + c*f**3 + z*f + y*f**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g - 9. Let z(k) = -k**2 - 12*k - 8. Let w be z(-12). Let l = 14 + w. Calculate the remainder when t(l) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 + 3*w**2 + w**2)*(-70 + 70 + 6*w) - 4*w**3 - w**3 + 2*w**3.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**2 + 4*k + 16. Is g(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**2\/5 - 18873*p\/5 = 0.\nAnswer: -6291, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*g = 9*w - 40, g - 5 = 0. Let u = -10.6 - -8. Let q = 5.6 + u. What is the closest to q in -0.4, w, 0.05?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539557158?\nAnswer: 2, 3, 7, 12846599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*p - 31 = 0, 0 = -19957*r + 19959*r + p + 13 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**3\/2 - 11*c**2\/2 - 6*c = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215919 is divided by 679.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/78 and -137\/702?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 828281.3305 to the nearest 10.\nAnswer: 828280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(27))\/(sqrt(162)*-2 + sqrt(2)).\nAnswer: -sqrt(19)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 26*l**2 - 61*l + 384. What is d(24)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 1. Let y(d) = -33*d - 21. Let b(p) = -4*g(p) + y(p). Is b(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*m + m + 3*m)*(0 - 2 + 0) + 2*m - m + 0*m - 1 + 1 + m - 3 + m + 3)*(-3 - 1 + 2)*(-6*m + 13*m + 9*m)*(4*m - 2*m - 3*m).\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1507187 or -1507181?\nAnswer: -1507181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 23*s - 18 = 0. What is the second smallest value in 1\/13, s, -3\/8, 2\/15?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*d - 41299 - 43401 = -2250*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 482501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/20 - p**5\/15 - 5*p**3\/6 + 14*p**2 - 221. Let d(m) = -m**3 + m**2 + 1. Determine 4*d(a) + q(a).\nAnswer: -10*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2004430 is divided by 1391?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/((-8)\/4)*-1)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 12*i - 80. Let n be m(17). Suppose -c + n*k = 15, -8*c + 5*c + k = -11. Solve -t = -o - 3, -c*t + 0*o = -o - 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62602\/7 or -8944?\nAnswer: -8944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c**(-2\/5)\/c)\/c)\/c)\/c*((c**18\/c)\/c)\/c)\/(((c*(c**12*c)\/c*c)\/c)\/c)**1)**(2\/5) assuming c is positive.\nAnswer: c**(-4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 977 - 167. What is z rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630381 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h - 27. Let l(s) = -4*s + 13. Let f(o) = 7*l(o) + 3*x(o). What is the units digit of f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011001101010001 (base 2) to base 6.\nAnswer: 2215533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5238 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus 463400.6?\nAnswer: -463390.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p - 7. What is the remainder when f(-10) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-23)*w*w\/(w\/w**(-3\/34)*w)*(w**(2\/101))**(-26) assuming w is positive.\nAnswer: w**(80345\/3434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 - 1?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 10. Let a be ((-12)\/9)\/((-6)\/(-27)). Let k(t) = -2*t - 1. What is the remainder when l(a) is divided by k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.22434 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24968140 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - -19 - (-1 - 9)) + (-6 - -14) + -5?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, 536, 811, 1086, 1361?\nAnswer: 1636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1201 - 1239) + -15 + -2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -72269 times -2.4?\nAnswer: 173445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/42)\/(k\/(k*k**(-25)))*((k*k**(-29)\/k)\/k)\/(k\/k**5))**(2\/61) assuming k is positive.\nAnswer: k**(-2143\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -h - 34, h = -2 - 11 - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*w**4 + 394 + 431 - 824 - 2*w**4 + 3*w**4 + 0*w**4 + (0 - 2*w**2 + 0)*(-2*w**2 + 0*w**2 + w**2) - w + w**4 + w + 0*w**4 - 2*w**4 + w**4.\nAnswer: -59*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/12 - x**3\/6 - 7*x**2\/2 + x. Suppose 11*a - 6*a - 20 = 0. Calculate j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = -5. Let b = 15 + -13. Solve b*t = q + f, -t - 11 = -2*q + 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(252) + -3 - (3 + -1*sqrt(252))**2.\nAnswer: -261 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266652.77 - 265580. Let z = g - 1068. Round z to one dp.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-135252)*117*(2\/12)\/((-6)\/(-16))\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 31. Let s(w) = w**2 - 1073*w + 2150. What is the remainder when c is divided by s(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1260 and 140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 82*k**2 + 171*k + 252.\nAnswer: -(k - 3)*(k + 1)*(k + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j + 312. Suppose -98*g + 15840000 = -j*g. What is g rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000201 (base 3) in base 5?\nAnswer: 300441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 7 - 0) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 3*d + 2. Let f be c(-2). Let q be (0 - f) + 1 + 1. Suppose q*o + 3*o - 15 = 0. Solve o*l = 9 - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17933 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -672?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*r - 4087 = 3473. What is the greatest common factor of r and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -464, -47, 5 in decreasing order.\nAnswer: 5, 3, -2, -47, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10.5. Let v = 1.5 + o. Let i = -4\/59 - -202\/1239. Which is the third biggest value? (a) v (b) i (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2112120 + 255?\nAnswer: 2112405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 92746.2?\nAnswer: -92745.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 3*o - 49. Let y(j) = -2*j**3 + 2*j**2 - j - 2. Give -q(w) - y(w).\nAnswer: 2*w**3 - 2*w + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5140, 20162, 45220, 80332, 125516, 180790?\nAnswer: 246172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-5589)\/5037)\/27)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(0 - 1)\/((-9)\/9). What is the biggest value in -0.1, -3, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3 + 8*b**2 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -174, 2\/3, -1, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(17) + sqrt(17)*2 + 4.\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*b**2 - 202*b**2 + 59*b**2 + 65*b**2 + 15*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -38 (c) 0.5 (d) 2\/9 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 5*f + 1. Suppose -y + 1 = -5. What is k(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 45 = -3*q. Calculate the remainder when 15 + 2 + 0\/(-1) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2370 divided by 27.\nAnswer: 790\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111112 - -2?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 15 - 10. Solve -10 = -0*o + 5*o - n*h, -4*h - 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5065*m**4 + m + 5144*m**4 + 0*m)*(45 - 32 - 24) in the form o*m**3 + s*m**2 + y*m**4 + l + b*m and give y.\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2596, 5195, 7798, 10405, 13016?\n\"Answer: 2*f**2 + 2593*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2*d. Let y(b) = -b**3 + 3*b**2 + 6*b - 8. Let z be y(4). Let u = z - d. Solve 3*f - 20 = 4*l, -f + u*f = 4*l + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/20 - (-34572)\/20. Let y = i + -143509\/83. Let k be 2*(2 + (-6)\/4). Are k and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-1 + -1)**2 + 0.\nAnswer: 8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 157?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 3*b - 1596 = 0. Let h = b + -127. List the prime factors of ((-888)\/(-10))\/(h*4\/80).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 30 - 46 - 8 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-70) - 2782\/14) + 5. Let l = 196 + o. Solve -11*n = -10*n + l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 91*v + 30*v + 36*v to s + t*v and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 681*j - 6*j**2 + 55*j**2 + 681*j to the form w + d*j + i*j**2 and give i.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -23733*b + 118587. Give w(5).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1948800 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 24. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 543 divided by 2\nAnswer: 543\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.9 (b) -1\/2 (c) 4\/269 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**12*k*k\/k**12*k*(k*k**(-2\/11)\/k)\/(k**(-10)\/k) assuming k is positive.\nAnswer: k**(-101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 13*c**2 - 3*c - 36. Calculate z(7).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 59\/2. Let t = 66 - 202\/3. Let u = 3 - 2.8. What is the third biggest value in t, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -20*l**5 - 261045*l**4 - 263098540*l**3 - 68877852080*l**2 + 121475385840*l + 34669602320 = 0?\nAnswer: -11978, -538, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3246077918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*a**2*i**2*r - 31*a**2*i*r - 12*a*i**2*r - 3*a*i**2 + 2*a*i - a*r + r wrt a?\nAnswer: 416*i**2*r - 62*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 2438.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 6.31.\nAnswer: -0.3155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(2\/5)*b*b**(1\/3)*b**(-1\/7)\/(b\/(b*b\/(b*b\/b**(-4))))*(b\/b**8*b*b\/b**(-2))**30 assuming b is positive.\nAnswer: b**(-9682\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p**2 - 12*p**3 + 29*p**2.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*f - 760 = -5*n + 84*f, 0 = 2*n - f - 299. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18345)\/2446)\/(1 - (-22)\/(-4))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1292529 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -31. Is 393\/(-2)*10\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 6*q - 15. Suppose -r = q*r - r. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**4 - 45*m**3 - 64*m**2 + 365*m + 900. Let x(f) = -f**4 + f**3 - f. Let o(g) = d(g) + 5*x(g). Factor o(w).\nAnswer: -4*(w - 3)*(w + 3)*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 10219?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1\/17 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-2)*8\/(-12). Let h = d - -9. What is the remainder when 143\/2 + (-2)\/h is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17740 + 17993. Calculate the highest common divisor of 782 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)\/((-3)\/(-48)). Let s be 312\/n*(-6)\/(-9). Sort -1, 0, s in descending order.\nAnswer: 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = 7*u - 90. Suppose 0*j = j - p - 15, 3*j + p - u = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 12*b**2 + 0*b + 0 + 1\/24*b**4 + 2\/3*b**3. Calculate m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893 divided by -10?\nAnswer: -893\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-12) + (6 - 22\/12). Suppose 0 = -4*n - c*j + 6*j + 10, -4*j - 20 = -n. Is 221 + (-7 - -12) - (2 - n) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288271773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - 2*sqrt(156)*2) + sqrt(156))\/(sqrt(12) + sqrt(192)*-6) + 4 + -3.\nAnswer: 2*sqrt(13)\/23 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 5 - 4)*(-6*g - 1 + 1) - 1 + 3*g + 1)*(-1 + 5*g - 3*g - 6*g) to the form t*g**2 + c*g + v and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/5 + (-72)\/40)*1. Let p(j) = 4*j + 16. Let y be p(v). Let z(w) = -12*w**3 + 8*w + 8. Let c(l) = -4*l**3 + 3*l + 3. What is y*c(r) - 3*z(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 5968*j**3 - 71424*j**2 + 285440*j - 380416.\nAnswer: -2*(j - 2972)*(j - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (23 + -19)*(-2)\/(-16)*174. Solve 86*b = x*b - 6 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + (3 + 4 + sqrt(98) + 1 + 4)*1 + -3)**2.\nAnswer: 154*sqrt(2) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 21 - 154*n**2 + n - 151*n**2 + 459*n**2 - 153*n**2. Determine d(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((0 - -1)\/1). Let y = -11 + 8. Is 7 a factor of (y - n) + -10 + 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266226, 266184, 266116, 266016, 265878, 265696, 265464, 265176?\nAnswer: 264826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(3\/(-4)) - 0. Let j be 1\/y - 38\/(-8). Suppose -4*s + 5*s = 0. Solve j*w = -s + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m - 9 - 7*m + 8*m. Let g be d(6). Suppose -4*n + 3*h = -2*h - g, -4*n - h + 51 = 0. Calculate the remainder when 38 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 11, 0.46, -9, 3, 0.5, 0.3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**4\/12 - 5*i**3\/2 - 9*i**2 + 19*i - 2. Let q be p(16). Let v(a) = a. Calculate v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -113f534e - 1?\nAnswer: -113f534f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 100*s**3\/3 + 8*s + 491. What is the derivative of d(p) wrt p?\nAnswer: 200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(64) + sqrt(64)*-2 - sqrt(64)))\/(-1*sqrt(8)*3).\nAnswer: 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 7*w + 54. Calculate n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 12 - 16 = 0. Suppose -2*c + 6*c = 4*b + 32, -4*b - 32 = n*c. What is the units digit of -1 - b*(-5)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 10*w**2 + 14*w - 30. Let x be r(11). Solve -3*a - x*o + 3 = 0, 5*a - 4*o - 10 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520189.\nAnswer: 11, 113, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 66517 to the power of 1\/2, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.477645106 - -0.1.\nAnswer: -0.377645106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + -7 + (4 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, a: 1, e: 3}. Give prob of sequence eeel.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (74*j - 605 + 605)*(-250*j**3 + 4801 - 4801) in the form k*j + p*j**4 + t + n*j**3 + c*j**2 and give p.\nAnswer: -18500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12626 + 12625.8. Which is the smallest value? (a) -2 (b) -236 (c) 5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 10 - (0 + (-4 - -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159 and 1118300.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 785858?\nAnswer: 8644438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2374233*s**3 + 2*s + 860936 wrt s.\nAnswer: 14245398*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*w, w - 7*j + 3*j - 15 = 0. Suppose z - 2*q - 15 = -0*z, -w*q - 35 = -4*z. Let g be (2\/(-3))\/(16\/(-96)). Solve -z*d = -g - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 93*h**2 - 358*h + 15. Is 11 a factor of q(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/147 and -1\/18270?\nAnswer: 127890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -992.5 - -993. Which is the nearest to 1? (a) -3\/2 (b) -0.1 (c) 0.2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 6*x**2 + 4*x - 5. Let m be s(-5). Suppose -f + 0*f + 18 = m. Let l(t) = 11*t**2 + 1. What is the lowest common multiple of f and l(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/23 (c) -306 (d) 44 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.3 (b) -16 (c) -3\/67 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.928 - 8.9673\nAnswer: -8.0393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7e (base 15) to base 5.\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35237278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023 (base 6) to base 5.\nAnswer: -1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/11*t - 2\/11*t**2 - 6\/11 = 0. Calculate t.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -20222120112?\nAnswer: -20222120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 22. Let y(q) be the third derivative of -3*q**2 + 0*q**5 + i*q - 1\/30*q**6 + 0 - 1\/2*q**3 + 0*q**4. Differentiate y(b) with respect to b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2532 - -4?\nAnswer: 2536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23427 or -23421?\nAnswer: -23421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + (-62)\/(-5). Suppose q + c = 4*q. Let y be ((-5)\/10)\/((-2)\/q). Solve 2*n + 3 = -y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-6))\/(-6 - 460\/(-112) - -2). Solve a*k - 22 = -8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q + 16. Let s be 6\/q*8\/(-4). Suppose 5*m = 2 + s. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5333 - -3245?\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 2. Let n(l) = -5*l**2. Calculate n(m(o)).\nAnswer: -45*o**2 + 60*o - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5164 is divided by 1545?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145495697.\nAnswer: 29, 5017093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 7*u - 1. Let d be q(6). Let p = d - -36. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10656, -18482, -26308, -34134, -41960?\nAnswer: -49786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -1, -4\/11, 19261?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 + 8*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4*s - 131, 4*r - 5*s = 9 + 103. Suppose 2*g = o + 4*g - 7, 3*o = -4*g + r. Calculate the remainder when 702\/(-63)*(-343)\/147 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*b + 6670 + 36868. Let y = b - 1315. Is y a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101288, 202575, 303862?\nAnswer: 405149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, w: 11, d: 2}. What is prob of picking 1 d and 3 h?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8618*s + 8614*s - 111 = y, 2*s + 51 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 11*a + 6. Is 3 a factor of l(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 9*u**3 - 6*u**3 + 4*u**3.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 33*k + 30*k - 63*k - 4*k**2. Let t(m) be the second derivative of 7*m**4\/6 + 17*m. Give t(o(f)).\nAnswer: 224*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + u + 7*u + u + u - 3*u + u - 3*u + 3*u + (-5 + 5 - u)*(0 + 0 - 1) - 1 + 2*u + 1 + (-3 + 1 + 0)*(2 + 2*u - 2).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 1)*(t - 2*t**2 - t) + (2 - t - 2)*(-7*t + 11*t - 9*t) as r + f*t + n*t**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/13, 21, -1, 4\/5, -3 in decreasing order.\nAnswer: 21, 4\/5, -3\/13, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 807791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p - 8*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724457 is divided by 60241.\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**17)*j**(-4\/13)*j*j**(-3)\/j*j**(6\/5))**(-46) assuming j is positive.\nAnswer: j**(-44528\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:31 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1*1\/4). Let i = -2 - a. Suppose g + 11 = i*g. Solve -l + 6*l + 1 = -3*z, 5*z = -2*l + g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -56\/3. Let v = -277 - -162. Let t = v - -130. Which is the second biggest value? (a) -1\/5 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -46.\nAnswer: 5\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -13. Suppose 0 = -3*n + 308 - 38. Let z be (-2)\/5 + (-9)\/(n\/4). Which is the second smallest value? (a) z (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6056 divided by -2\nAnswer: 3028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -0.4, 24 in decreasing order.\nAnswer: 24, 4, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76789782*a**3 + 21*a + 12738.\nAnswer: -460738692*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 1482*b - 1478*b - 12, -7*b = 3*y - 21 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and 2.68.\nAnswer: -5.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/2 - 6384*z**2 + 26116938*z - 33473998440 = 0.\nAnswer: 2580, 5094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1458) - -2*sqrt(1458))*-3)\/(3*sqrt(900) + -1*sqrt(9)*-6).\nAnswer: 27*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 1\/12*u**4 - 1\/2*u**3 - 2*u + 7\/2*u**2 + 0. What is the units digit of x(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 8587151?\nAnswer: 10304581.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z + 4*y = -16, 4*z = 2*y + 18. Let j(p) = 7*p**3 + p**2 - 5*p - 2. Let l(m) = -m**3 + m. Let u(k) = j(k) + 6*l(k). Is 12 a factor of u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 107. Let j be f(-26). Suppose -c + 52 = -0*c. Let p = c - j. Calculate the remainder when p is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2340 and -71\/1170.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2842 = 12*m. Let y = m - -205. Let g be -3 + (1 - 4)*-2. Solve -r = y*r - g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -699.26079 to 1 dp.\nAnswer: -699.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaqaqataqaqqqqtqxa. Give prob of picking 1 t and 1 a.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*t - 5 = 0, -91*t - 6 = 5*f - 87*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14896 or 17628?\nAnswer: 17628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (974\/5)\/(8\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**4 + 19*i**2 + 0*i**2 - 12*i**2 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000239 to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*o = -57, 409*g - 424*g + 1 = 4*o - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 5 - (11 + -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(3\/12)*73. Let y = 147 + t. Let l(u) = u. Calculate l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 7*l**2 - 6*l + 4. Let r be o(6). Suppose 4*i + i = 0. Let w be 6\/9*(-117 + 120). Put i, r, w in descending order.\nAnswer: r, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 112 = -5*d, -2*j = 3*d - 8 + 62. Let c be (d\/(-25))\/((-2)\/5). Let r = -15 - -11. Do c and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 + 8*m - 9. Let l be z(-7). Suppose l*c = 275*c + 6051. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-25)\/70*((-608)\/(-60))\/(-19)).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 l when four letters picked without replacement from {y: 5, d: 3, h: 5, l: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -83032 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f96 (base 16) in base 14?\nAnswer: 2d38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t + t - 4*t)*(0 + 2 - 4) + 5*t - 3*t + 4*t)*(-5*t**2 + 5*t**2 + 2*t**4) - 1 - 2175*t**5 + 1164*t**5 - 2.\nAnswer: -995*t**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18918.977 and 3676226.\nAnswer: 3657307.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(370\/(-666)*3\/(-5))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19103.3 and 0.4.\nAnswer: 19103.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 16*m + 18. Calculate k(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.832484 milligrams?\nAnswer: 2832484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/((-1200)\/175)*-4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103\/192864 or 2?\nAnswer: 103\/192864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126436.3 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (12 - 48) - 33?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -130 - (-5 + -80) - -66\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 3785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6694901669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y**2 + 7*y - 6. Let d(l) = -31*l**2 + 16*l**2 + l + 14*l**2 - 1. Calculate -6*d(z) + k(z).\nAnswer: -4*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -221627.\nAnswer: 443254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 126505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**4 + 5*g**2 - 5*g + 17. Let y(s) = -3*s**4 + 4*s**2 - 4*s + 16. Let j(h) = -4*i(h) + 5*y(h). Find the first derivative of j(w) wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4*l**(-26))**3)**(-31) assuming l is positive.\nAnswer: l**2046","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tpppctppthtpktpttkpp.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 11*w - 10. Let y be o(10). Let a(k) = 2*k + 33. What are the prime factors of a(y)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 13 + -36 + (41 - -14).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 29. Let b = a - -33. Let w(h) = h**2 + 20*h - 187. Let c be w(7). Solve c*v + b = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -62. Let a(p) be the third derivative of -2\/15*p**3 + 0*p + 1\/300*p**6 - 1\/50*p**5 - 1\/12*p**4 - 7*p**2 + r + 1\/525*p**7. Factor a(f).\nAnswer: 2*(f - 2)*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 222 + -141. Suppose 2*m + s = 4*s + 87, -m - 5*s + 11 = 0. Suppose 4*n = -0*n + m. What is the greatest common divisor of w and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1789 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/7*t**2 - 36\/7 - 4\/7*t**3 - 12\/7*t.\nAnswer: -4*(t - 3)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415796603.\nAnswer: 127, 3273989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*s = 8*n + 21, -s - 9 = n. Let a be 156\/56*n - -1. Let h = a + 16. Sort h, -0.02, -2 in ascending order.\nAnswer: -2, -0.02, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(195) - -1*sqrt(195)))\/sqrt(5))\/(-3*(sqrt(192) - (-4*1*sqrt(192) - sqrt(192)))).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 1750 = 9*q. What is the greatest common divisor of q and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d - d)*(-8*d**2 + 8*d**2 - 4*d**2) + 131*d - 9*d**3 + 2*d**2 - 131*d.\nAnswer: -d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = 4*i, -2*h + 0*h = -3*i + 11. Solve 3*y + c = 6, 3*y = -i*c + 2*c + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212 is divided by 327.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.004264?\nAnswer: 0.0008528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -2*t - 19. Let v be (-1)\/(-5) - 8\/t. Suppose v = 3*s - 0*s - 39. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - (-4)\/6. Suppose -g + 2 = -d*g. Solve 3*u - g = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5497200 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16819854, -33639706, -50459558, -67279410, -84099262?\n\"Answer: -16819852*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13254 by 13254.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + -12 - -131) + -68.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19426, 38868, 58300, 77710, 97086, 116416, 135688, 154890?\nAnswer: 174010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15804419237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -51. Let j = a - -3. Let m(q) = 6*q**2 - 7*q - 11. Is 43 a factor of m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3238 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1826 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*6\/2430)\/1*6.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -1.4. Let u = -2.8 - w. Let z = 3 - 2. Which is the second smallest value? (a) z (b) u (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n**3 - 5*n**2 - n - 3. Let a be g(-3). Calculate the greatest common factor of 38 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 1257?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 733?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 426 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, -1, -1, -3, -7, -13?\n\"Answer: -v**2 + 5*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015817361 rounded to seven dps?\nAnswer: 0.0001582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -341044 + 341043. Let r = -1 + 0.5. Which is the second smallest value? (a) 1\/12 (b) r (c) i (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*4\/8)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 2)*(0*b + 3*b + 0*b)*(-119 + 10 - 35) as u*b + z and give u.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v. Let f be z(1). Let t be (f + 2)\/(8\/12). Solve 0 = 2*q + t*q - 3*c - 8, 4*q - 3*c = 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0227 + -0.4773. Which is the third biggest value? (a) -0.04 (b) -2\/21 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + z - 1 - 1, 0 = -4*p + 4*z - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*g = -260*g - 5*u + 1230, -5*g - 4*u + 1226 = 0. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -143 in -2, 0.6, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*c + 64 = 0, 0 = 3*c - 3 - 0. Let n be ((-8)\/t)\/((-1)\/(-10)). Let l(g) = 3*g**2 + 6*g. What is the remainder when 93 is divided by l(n)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37661 and 53027?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 214 = -2*c, 2*c - 3*c = -v + 70. Let j(q) = -72*q + 7 + 140*q - v*q - q**3 + 0*q**3 - 8*q**2. Calculate j(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -616411 < -616411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 238043009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4491, 9096, 13701, 18306, 22911, 27516?\n\"Answer: 4605*q - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + j + (-3 + 0 + 5)*(1 - 1 - 2*j) + (-9 + 9 - 4*j)*(-2 + 0 + 1))*(37*j - 21*j + 11*j).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 59\/4. Let o = 19.7 + -39.75. Let z = o + 20. Which is the fourth smallest value? (a) 3 (b) z (c) -4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 898482?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46499, 92966, 139429, 185888, 232343?\n\"Answer: -2*p**2 + 46473*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18471)\/(-987) + (-1 - 19).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-10)\/(-5))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1.119093 minutes?\nAnswer: 67145.58","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (-2*sqrt(99) + sqrt(99) - sqrt(99))*-5))\/(3*sqrt(27)\/sqrt(3)).\nAnswer: -8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*y - 9 = 212*y. Let h(w) = 2*w**2 - 5*w**2 + 6*w**2 - 13 + w**y + 8*w - 5*w**2. What is the tens digit of h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**10*z*z**27\/z*z)**(-1\/57) assuming z is positive.\nAnswer: z**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3043185*-1.\nAnswer: 3043185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -16*f + 3. Let y(c) = 2*c**2. What is k(y(t))?\nAnswer: -32*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 7*g**2 - 8*g + 1. Let u be s(-6). Suppose -2*m + 29 = 5*v, 0*v + u = -m + 3*v. Let x be (-2)\/(m\/2)*-1. Solve 3*w + x*w = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*p = 3*w - 32, 4*p = -2*w + 22. Let r(i) = -i**2 + 6*i - 7. Give r(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t - 2. What is j(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose 0 = 5*u - b*u - 33. Calculate the remainder when 19 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 99.06513ml?\nAnswer: 0.09906513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202\/5 - -40. Are f and -7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -526a + 39?\nAnswer: -5231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/220)\/(6\/11)*45\/(-25).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/(sqrt(7)*-5))\/sqrt(12))**2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 + 8665148*r\/9 - 9385598732738\/9.\nAnswer: -2*(r - 2166287)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -129*a**4*f**3 - 108*a**4 + 565*f**3 + 3*f - 3 wrt a?\nAnswer: -516*a**3*f**3 - 432*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 44831 = 116448. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 41272488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 723 by 267.\nAnswer: 241\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(320) + -2.\nAnswer: -40*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 46931094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - n - n + (9*n + 19 - 19)*(-6 + 1 + 0) in the form j + q*n and give q.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3 + (-8)\/12)*9 and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -16. Let k = 7 - 3. Factor 0 + 1 - 48*d**2 - 5 + p*d + 52*d**3 - 28*d**k + 6*d**5.\nAnswer: 2*(d - 1)**4*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1615*s + 775 + 120*s**2 - 22*s**3 + 501 + 27*s**3 + 55*s**2 + 169.\nAnswer: 5*(s + 1)*(s + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3443 + 12082. Let f = n + -19719. What is f rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 154 = 6*q, -58 - 77 = -7*q + 12*q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/((-14)\/4))\/((-10)\/3). Which is the nearest to -1? (a) -1\/4 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-33)\/a*a)\/a*a*a**46*a*a)\/(a*a\/(a\/(((a\/(a*a**(-23))*a)\/a)\/a*a))*a**32\/a*a))**(-3\/25) assuming a is positive.\nAnswer: a**(123\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, f: 7}. What is prob of sequence ftt?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 8:19 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 854431.4868 rounded to the nearest ten?\nAnswer: 854430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.095 - -31. Let f = -0.28 - d. Let k = 19.585 + f. Round k to zero dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - j**3 + 2*j**4 + (5*j**2 - 4*j**2 - 3*j**2)*(j**2 - 5*j**2 + 2*j**2) + 13*j + 4*j**4 - 13*j + 4*j**4 - 3 + 3 + (j - 3 + 3)*(5 - 5 - j**3).\nAnswer: 13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -53 + 17. Is -29\/8 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s**3 + 44*s**2 - 44*s**2.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*g + 245*p - 248*p, g + 2*p + 5 = 0. Which is the biggest value? (a) 2\/15 (b) g (c) -3.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -50 - (22 - (14 + 10))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 54*k - 58*k - 35, 0 = 4*v + 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1114037*k**4*t**2 - k**4 - 2*k**2*t**2 - 2*k*t**2 - 10*k*t - 320*t**2 - 6 wrt k?\nAnswer: -26736888*k*t**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:22 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -68652, -68649, -68646, -68643, -68640, -68637?\n\"Answer: 3*t - 68655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 + -213. Let d be (-26 - b)*2\/5. Put -6, -10, d, 5 in decreasing order.\nAnswer: 5, d, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77510 = 9*g - 103435. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kko when three letters picked without replacement from {k: 2, a: 1, i: 6, o: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 12) to base 16.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18 - (20 - 23) - 32. Sort -69, u, -2 in decreasing order.\nAnswer: -2, u, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 2. Let g(j) = j - 1. Suppose 3*i - 2*i + 6 = 0. Let y be (i\/(-4))\/(3\/4). Let h(q) = y*g(q) + d(q). Let n(p) = -3*p**2. Give n(h(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, 6\/11, 1.19, -6?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -280 + 595. Let y be 18*28\/(-40)*(-23 - 2). Is c bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4498373 is divided by 47855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oou when three letters picked without replacement from {o: 13, u: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*u + 9 = -415*u. What is the second biggest value in 2\/3, 2, u, 0.02?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(sqrt(200) + (2 + sqrt(200)*-1)**2)*-6.\nAnswer: -540*sqrt(2) + 3676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124\/147 - -15269\/2940. Find the common denominator of 3*2\/(-33) + (-50738)\/(-9108) and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/25 - -44\/75. Let t(i) be the first derivative of -y*i**3 + 2*i + 0*i**2 + 2 + 1\/4*i**4. Determine t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.9351 and 0.74?\nAnswer: 14.011974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = -5*c, 0*l = 2*l + c - 4. Let y be 0\/(1\/(l + -1)). Suppose 3*s - 54 = -y*s. Calculate the least common multiple of s and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/1167 greater than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -61, 21, -6134, -4 in descending order.\nAnswer: 21, 0, -4, -61, -6134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32 and 321.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 l when three letters picked without replacement from {k: 12, l: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 = 8. Suppose 5*s + j + 125 = -0*s, -5*s + r*j - 125 = 0. Let l be (-20)\/s*(-5)\/2. Sort l, 2, 0.\nAnswer: l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/2434?\nAnswer: 17\/2434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*m**3*y - 11546373*m*y**3 + 594234879*y**3 wrt m?\nAnswer: -9*m**2*y - 11546373*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9681989 + -6081989. Round p to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 32 + (-2 - -4). Find the common denominator of -15\/29 and -1 - ((-11)\/b)\/(2\/(-84)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 75690567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-1) - (0 + 0). Suppose -452*d + 512*d = 240. Solve k + 5 = 0, -z*a + d*a = k + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (607*x + 2 + 2 - 605*x)*(x**2 - x**2 - 3*x**2 + (x**2 + 2*x**2 - x**2)*(0 + 0 + 1) + 0*x + 2*x**2 + 0*x) + 4 - 1 - 5 + 2*x**3.\nAnswer: 4*x**3 + 4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151020976.\nAnswer: 2, 37, 71, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1470962 and 111016?\nAnswer: 5883848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1219.\nAnswer: 2438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.6 + 9.555. Let d = j - -0.015. Are 7 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybx when three letters picked without replacement from {p: 2, b: 3, l: 4, y: 3, x: 1, t: 4}?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 31\/5, 1\/2, 735, -16, -0.4 in decreasing order.\nAnswer: 735, 31\/5, 1\/2, -0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/9 - 4\/(-18). Let m(r) = -c + 1 - 1 + 2*r. What are the prime factors of m(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5 - 7. Let i = j + 3. Let u = i + 1. Which is the smallest value? (a) 5 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -68.00425. Round c to four decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0*m**2 - 8*m + 4\/3*m**3 + 0. Let q(p) = -p. Calculate q(d(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227456910?\nAnswer: 2, 3, 5, 280811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/420 and -64\/63?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -487 + 487. Suppose 5*y + 114 - 124 = q. Solve y*v - 4*l = 20, -3*v - v = -4*l - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1624*y = -1772*y + 3707*y + 15550 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.02 + 3.12. Let f = -11 + 12. What is the closest to -3\/7 in 0.5, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 170304 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:01 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 5*g. Let z be t(-4). Suppose 5*b = -4*n - 90, -3*b - 94 = 4*n - 0*b. Let a = 26 + n. Solve -z*x - 7 = a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 6*w + 2*w)*(-2*w + 1 - 1) - 5*w**2 + 2*w**2 + 2*w**2 + 3*w**2 - 3*w**2 + 2*w**2 + (1 + 1 + 0)*(w - w - 2*w**2 + (4 - 4 - w)*(-w + w + 2*w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.93 - -1.24\nAnswer: 0.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(1 + 1 + sqrt(396)) - ((sqrt(396) + 1)*-1 + sqrt(396)*-1*-4))**2.\nAnswer: 264*sqrt(11) + 1706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 522 divided by 1\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -2\/5, 4\/3 in ascending order.\nAnswer: -78, -2\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*c - 10 + 19 - 16)*(-2 + 0 + 0) to the form q*c + i and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 1\/6, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397719745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -2.9 = -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 103.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w = 0. Suppose w = -5*s - 0*s + 15. Solve 3*q - 12 = -y, -2*q + s*q - 5*y = 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 699246 and 932328.\nAnswer: 2796984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w - 41\/60*w**5 - 333*w**2 - 1\/8*w**4 + 0*w**3 - 11\/35*w**7 + 0*w**6 + 0. What is the third derivative of u(r) wrt r?\nAnswer: -1584*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7 = 82. Suppose 5*a + 5*p = w, -3*a + 7*a = 5*p + 33. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207007220 divided by 51751805\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*j**4 + 26*b*j**3 + 13*b*j**2 - 2*j**6 - 15*j**2 wrt j.\nAnswer: -24*b*j + 156*b - 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 106, 242, 448, 730, 1094, 1546?\nAnswer: 2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130829923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/3 + 64*a**3 - 194*a**2 - 3*a + 36. Find q, given that s(q) = 0.\nAnswer: -97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 30*l**2 + 4. Let z(k) be the first derivative of 2*k**3 - 1310. Give m(z(t)).\nAnswer: 1080*t**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2 - 26*i + 17. Let r be w(5). Suppose 881 + 79 = 10*f. Calculate the highest common divisor of f and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 719877040?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**4\/24 - 5*q**3\/6 + 4*q**2. What are the prime factors of j(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2)*p)\/p*p)\/p)\/p**(9\/5) assuming p is positive.\nAnswer: p**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**3 - 5*c**2 - 5*c + 5. Let q(u) = 15 + 0*u + 3*u**2 - 8 - 10 + 3*u - 4*u**3. What is -5*q(h) - 3*s(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39447 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 175, 850, 1977, 3556?\n\"Answer: 226*j**2 - 3*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*b**2 - 11*b**2 + 12*b**2)*(31 - 23*b - 30 + 0*b).\nAnswer: -437*b**3 + 19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -36*b**3 + 4*b**2. Let k(j) = -576*j**3 + 63*j**2. Suppose -80*r + 95*r = 3 + 57. Give r*k(v) - 63*s(v).\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -35874 * 3\nAnswer: -107622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 5. Let p(h) = -1. Let k(r) = -10*p(r) + 2*u(r). Let y(t) = -3*t. What is k(y(g))?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -3*b - 82. Suppose 75 = v - b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 + 147*q + 144 = 0. What is q?\nAnswer: -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-16) + 30\/80. Sort 3, q, 5, -17.\nAnswer: -17, q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1652 and 67\/44?\nAnswer: 18172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 5*b - 4. Let v be ((-4 + 2)*-3)\/1. Let m be q(v). Find the third derivative of -3*f**5 + 4*f**6 + 4*f**5 - f**5 - f**m wrt f.\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-6)*g)*g*g**(-4\/5)*(g**11)**(-47) assuming g is positive.\nAnswer: g**(-2554\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-458)\/(-3)*(-3 - 63\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-4\/9)*y)\/y))**25 assuming y is positive.\nAnswer: y**(325\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0 - 24282*z**2 + 6349*z**2 + 11*z + 14 + 0*z. Let l be o(-11). What is l rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, 8472, -114 in decreasing order.\nAnswer: 8472, 1, -9, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -16*c**3 - 42*c**2 - 11*c. Let t(w) = -3*w**3 - 8*w**2 - 2*w. Let g(d) = -2*j(d) + 11*t(d). Determine g(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3109 - -5)*(12\/30 - (-8)\/30) is divided by 130?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -350*c**3*g**3 - 2*c**3 + c**2 + 733*c*g**3 wrt c.\nAnswer: -2100*g**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0 + 5 - (sqrt(68)\/sqrt(4) - sqrt(17))*-2 - (4 + sqrt(17) + sqrt(68)\/sqrt(4)*3))**2 - (1*-2*sqrt(1700) + (sqrt(1088) + 0)**2*-5).\nAnswer: 14*sqrt(17) + 5594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.4 - 5.346. Let j = g - -41.946. Let z = j + -42.0000032. Round z to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 1, o: 4}. Give prob of picking 3 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1829624 is divided by 457404.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/22 and 5\/35 + 135\/42.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2, -21817?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4282.687913 to two dps.\nAnswer: 4282.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30508 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 77\/2 of a millennium?\nAnswer: 3850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 - 0.12. Let q = -1.1 + -6.9. Let l = q + 6. Which is greater: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -1298 - 286. What is the highest common divisor of w and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 d when four letters picked without replacement from {f: 3, d: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5393908 or -5393961?\nAnswer: -5393961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305 + 305 - 57*s.\nAnswer: -57*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*m**4 - m**3 + 731*m wrt m?\nAnswer: -96*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 - 98*t**2 - 55616*t\/7 + 557568\/7.\nAnswer: -2*(t - 9)*(t + 176)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(50\/(-18)))\/(5*(-15)\/(-375))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*w)*(-6 + 1 + 3) + w + 0*w + 2*w + (3 + 2 - 4)*(4*w - w - 4*w) + 2 - 2 - 2*w - 5*w + 5*w + 2*w - 4*w + 6*w - w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 - 39*v**2 - 17*v - 6. Does 59 divide r(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 8*r**2 - 16*r - 3. Let x be d(14). Suppose x = 5*q + 104. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*f + 1035. Let d = f + 20. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0, 7 in ascending order.\nAnswer: -4, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3914 * 9.\nAnswer: 35226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 29 = -11*k, -13*k = -14*k - 2*y - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267850 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*a - 3*a + 5*u, a - 14 = -5*u. Let t(j) = -8*j. What are the prime factors of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1)**(-2\/11)*f\/(f*(f\/(f**(-2\/7)*f))\/f)*(f**3\/f)\/f*(f\/(f*f**(-2\/9))*f**(1\/2))**(3\/26) assuming f is positive.\nAnswer: f**(151\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2. Let s be d(-2). What is the units digit of (s\/(-12))\/(2\/(-51))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + -2 - (-5 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by 102.\nAnswer: -23\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 84. Let d = 41 - x. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + 2 + -5 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 0.125.\nAnswer: -0.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h*h*((h\/h**(-4\/9))\/h)\/h)\/(h\/(h*h*h*h**(1\/2)*h*h))**(13\/2) assuming h is positive.\nAnswer: h**(1249\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-6 + 1))\/(-1). Let p(r) = -7*r + 7. Let j(h) = -4 + 2*h - 5*h + 7*h. Calculate f*j(s) - 3*p(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 645 - -2394. What are the prime factors of u?\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367410041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37674 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641010 is divided by 377.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 282.129 - 282. Let g = -70.129 + a. Let j = g - -73. What is the closest to 1\/4 in 1\/7, j, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -30. Let v = h + 54. Let b be 171\/33 + (-2)\/11. Solve w + 2 = 2*c, c - v*w = 14 + b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 0*f + 10\/3*f**2 - 48 - 2\/27*f**3. Determine c so that i(c) = 0.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2427283?\nAnswer: 1549, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*s**3 - 156274*s**2 + 7465*s - 85?\nAnswer: 48*s - 312548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + 2*c + (-1 - 4 + 3)*(-4 + 4 - 2*c) + 2*c - 3*c + 3*c + (6 + 1 - 5)*(-1 - 2*c + 1) + 149*c + 211 - 211)*(0*c + 0*c - 2*c**4).\nAnswer: -306*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25461?\nAnswer: 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 18*f - 15. Let y(q) = -12947*q + 1. Give y(g(h)).\nAnswer: -233046*h + 194206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/5*w**2 + 4\/5*w**4 + 0 + 24\/5*w + w**3.\nAnswer: w*(w - 2)*(w + 4)*(4*w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 - k**3 - 1 - 34*k + 4*k**2 - 27*k - 35*k + 99*k in the form s*k + a*k**3 + w*k**2 + c and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 65 in ascending order.\nAnswer: -4, -3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 3. Suppose 5*o - 10 = -5*j, -2*j - 2*j = 4. Suppose -o*k = -0*k + 9. What is a(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/27 in -5, -1\/19, 2\/19, 5?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 14 = -2*v + 2*j, -32 = -5*v + j. Suppose 0 = -v*a + 8*a - u - 9, 5*u = 5*a - 35. Factor -2 - 1\/2*b + 1\/2*b**3 + 2*b**a.\nAnswer: (b - 1)*(b + 1)*(b + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2268) + sqrt(2268) + (-2*sqrt(2268) + sqrt(2268))*5 - sqrt(2268)) + sqrt(2268) - sqrt(2268))\/((2*sqrt(1944))\/sqrt(6)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.033088 millimeters in centimeters?\nAnswer: 0.7033088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19970 + 20015. Let z(k) be the second derivative of 0*k**3 - 2\/5*k**6 + 11\/10*k**5 + m*k + 1\/21*k**7 + 0*k**2 - k**4 + 0. What is v in z(v) = 0?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3710009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c - 4 + 2 + 1)*(15*c - 7 - 8*c - 6*c).\nAnswer: -9*c**2 + 62*c + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.759 + 5.8. Let r = 25.041 - u. Let j = r - 22. Which is the closest to j? (a) 0.3 (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -115*v - 44. Is d(-31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/294215 and 111\/61196720.\nAnswer: 61196720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91495994 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.26 + 3.84. Which is the biggest value? (a) g (b) -0.4 (c) 0.4 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0274222 to 2 decimal places.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*b - 61*b**2 - 11*b**2 + 68*b in the form t*b + x + w*b**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 138\/36 + -4 - 1\/(-6). Suppose 8 = 4*b - 2*z + 4, 4*z - 16 = h. What is the remainder when 21 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - -3.06. Put 2\/13, 18, x in descending order.\nAnswer: 18, x, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156 + 371. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -7\/6, 0.1, -0.2, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (19932\/(-1359))\/(39\/(-9))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(108))*6 - (sqrt(12) + (sqrt(432) - -3*sqrt(432)) + sqrt(12)))\/(((sqrt(24) - sqrt(216))*-2)\/(1*sqrt(54)))*-3.\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 391859 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from dddoodddd.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i**5 + 1111*i**4 + 1485 + i + i**5 - 626*i**4 + 964 - 619*i**4 wrt i?\nAnswer: 140*i**3 - 1608*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 326*k - 194*k - 79464. Calculate the greatest common divisor of 1376 and k.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 57.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 10, -c + 5*n = 4*c - 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 25 = -3*t. What is the lowest common multiple of 2\/t - (-1232)\/55 and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 10*l + 10. Let j(a) = -a**2 + 5*a + 8. Let h be j(6). Suppose -i = 1, -l*g + 3 = -h*i - 3. Solve -2 = 2*p + g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 567 - 560.59. Let h = v + -6.31. Sort h, 5, -2, -15 in descending order.\nAnswer: 5, h, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*h = -141, 0*h - 3*h = 4*a - 122. Is a a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2275\/9 - -253. Let i(v) = v**2 + 4*v + 4. Let h be i(-4). Suppose -h*p + 2 + 18 = 0. Which is the second smallest value? (a) j (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 + 1 - 1 + (-167 + 167 - 21*o + (2 - 4 + 0)*(10 - 10 - 5*o) - 1 - o + 1)*(4*o + 2*o - 7*o) to the form y*o**2 + b*o + z and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.2 + -15.199918. What is v rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4098 times -9?\nAnswer: 36882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -10, -38, -15 in increasing order.\nAnswer: -38, -15, -10, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1)\/(1*-3). Suppose 2*j = 5*o - 10, m = -3*o + 6*o - 5*j + 13. Suppose -4*q + 2*s + 2*s = -40, -o*q + s = -37. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412183527.\nAnswer: 13, 233, 796363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 0. Suppose 0 = -5*x + g - b + 14, -5*x = -3*g - 7. Suppose -2*k = -5*k + 6. Is k at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8532 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136890 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7379663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.88, -0.5, 1\/6 in descending order.\nAnswer: 5, 0.88, 1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9092.328ng?\nAnswer: 0.000000000009092328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)*(-5480)\/12986. Let r = -19\/43 - h. Let q = -3497\/1208 - r. Find the common denominator of q and -22\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042391 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 59*i - 59*i - 1 + i**3 + i**2. Determine a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175862406\/1661491 - -2\/127807. Let m = 106 - c. Let n = 43\/2 - 19. What is the nearest to -8 in 5, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10344055 (base 6) to base 2\nAnswer: -1001011100001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 443*b - 1. Let l(t) = -444*t + 1. Determine -5*i(r) - 6*l(r).\nAnswer: 449*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-3)\/(-2))\/(12\/120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -8, 96, 304, 652, 1176, 1912?\nAnswer: 2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.066 plus 215234?\nAnswer: 215239.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1716, 6919, 15606, 27777, 43432?\nAnswer: 62571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -9*k**5 - 79*k**4 - 198*k**3 - 96*k**2 + 32*k = 0.\nAnswer: -4, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m + 29*m - 6 = 0. Let y(j) = j**2 + 9*j + 8. Calculate y(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 + 0\/3 - 5. Suppose 5*x + d - 15 + 287 = 0, 2*x = 3*d - 119. Let p be 10\/x + (-370)\/22. Are p and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -20180*x**2 + 1968*x - 48. Let b(a) = 6727*a**2 - 656*a + 16. Let r(z) = -8*b(z) - 3*g(z). Factor r(y).\nAnswer: 4*(41*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*z**3 + 28*z**3 - 34*z**3 - z**3 + 5*z**3 - z**3 + (-3 + 3 + 2*z)*(z**2 - 2*z + 2*z).\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p\/((p*((p*p**(6\/5)*p)\/p)\/p)\/p))))\/(p**(-4\/7)*p))\/((p*p\/p**(2\/5))\/(p*p**(1\/2))) assuming p is positive.\nAnswer: p**(-121\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 1\/8*u**4 + 0*u - 3*u**2 + 0 - 1\/3*u**3. List the prime factors of c(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 327*h - 15251. Determine u(-56).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 1) + 2*13. Suppose -f - 2*b - 2 = 0, 0 = f - 2*b - b - 8. Suppose j - 2*j + 23 = -f*c, 0 = 3*j + 3*c - u. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g*l**4 + 10984758*g + 2128840*l**4 wrt l.\nAnswer: -4*g*l**3 + 8515360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002110122 + -2?\nAnswer: -10002110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuiviuuiussbivuuiuv.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108859 (base 13) to base 15.\nAnswer: 7a99a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let x be 483\/16 + 1188\/(-6336). Let r(h) = 10*h**2 + 15*h. What is x*z(p) - 2*r(p)?\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 8*b - 456. Let m = b - 50. Calculate the remainder when m is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33046055 is divided by 1146.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8162 + -130671\/16. Calculate the common denominator of p and 561\/(-28) + (-2)\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7683 + 7685 - 15365 + 608*s in the form l*s + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -840?\nAnswer: 83d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 263855624, 527711248, 791566872, 1055422496, 1319278120, 1583133744?\n\"Answer: 263855624*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 182 - 3*x + 151 - 40*x**2 + 2*x.\nAnswer: -40*x**2 - x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270644 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c37 + 1a?\nAnswer: -1c1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 93.653 (b) -2 (c) -0.1 (d) -2\/9 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + t + 1 = 0, -4*x + 0 = 2*t + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327382 at least as big as 4327380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1892709, 1892697, 1892685, 1892673, 1892661?\n\"Answer: -12*s + 1892721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120110 (base 3) to base 7.\nAnswer: 3225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227\/4 + -57. Let q be (0 + 0)\/(26\/(-26)). Let v be (q + -9)\/3*1. What is the closest to n in -0.4, -0.5, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + q + 1)*(-249 + 249 + 16*q)*((0 + 0 + q)*(1 + 3 - 2) + 15*q + 3*q - 7*q) to the form v*q + g + m*q**3 + y*q**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0, 46, 4, -1, -7.\nAnswer: -28, -7, -1, 0, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83056289 to the nearest integer?\nAnswer: 9114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 41*g**2 + 10*g - 184. Give q(41).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -752523*r - 848581 wrt r.\nAnswer: -752523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -514 + 79933367.103?\nAnswer: 79932853.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - 5 - -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkssykysfssysfyfk. Give prob of picking 1 s and 1 f.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -18078\/59 and -0.346 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 7*h - 12 = 0. Suppose 23*a - 33 = h*a. Is (-17633)\/(-14) - a\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -44*v - 1735. What are the prime factors of c(-90)?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, 36, 231 in ascending order.\nAnswer: -0.2, 5, 36, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -8)*(-3 - 0). What are the prime factors of ((-10)\/45)\/(1\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.7 - -13. Let o = -6.2 + u. Let v = -0.7 + o. Which is the closest to 24? (a) v (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11798400 and 1000.\nAnswer: 58992000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 921824 to the power of 1\/2, to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108734*j + 108743*j = 0, 0*l - j = -2*l + 12 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -852414\/3335 - -7436\/29. Let d = 5\/23 - p. Which is the second smallest value? (a) d (b) -1\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 2 - (-2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1443588, 2887227, 4330866?\n\"Answer: 1443639*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 6, -33.7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1129*o + 4. Let c be a(1). Let l = c + -681. List the prime factors of l.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, e: 3, j: 2, z: 2}. What is prob of sequence ez?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2744 is divided by 1\/(-2)*(-106 + 0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03628541 rounded to three dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 18. Solve i - q = -6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4146 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*k + 4*k + 2*y - 4, -k - 3*y = 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 23 + 12. Let x(k) = -2*k + 1. Let w(p) = -14*p + 6. Let l(a) = w(a) - 8*x(a). Give l(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/19219 or 0?\nAnswer: 4\/19219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k - 1\/2*k**3 - 1\/2*k**2 + 0.\nAnswer: -k**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let b(f) = -3*f - 1. Let v = -21 - -24. Let x(d) = v*b(d) + 5*r(d). Let k(p) = 12*p + 8. Calculate 3*k(q) + 8*x(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - n - 4*n)*(3*n - 2*n + 3*n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3255313449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.04, -3\/139, 3\/4, 27, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Suppose 5*m = -4*n - 7, -4*n - 2 = 3*m - 1. Let u(o) be the third derivative of -o**3\/3 - 9*o**2. Give m*u(w) + 6*h(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 927*l**2 + 5 - 921*l**2 - 5.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.57 + 1.67. Suppose 2 = -3*z - 2*l - 42, -4*z + 5*l = 51. Let n be 46\/z - 15\/(-5). What is the nearest to n in r, -5, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12221, -12079, -11949, -11837, -11749?\nAnswer: -11691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-20))\/(-6)*10\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/19 + 2400\/(-304). Let w(o) = 14*o + 165. What is the smallest common multiple of w(m) and 7?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 u, 1 g, and 1 k when four letters picked without replacement from {u: 1, k: 7, q: 3, g: 1}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 130 = 190. Sort -4, w, 3 in increasing order.\nAnswer: w, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -58*q + 1. List the prime factors of r(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1665*f - 13556 - 72364 = 40481 + 35104 for f.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 79666\nAnswer: -39\/79666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**11*j*j*j)\/j**0)**(-3\/4) assuming j is positive.\nAnswer: j**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -102, -138, -198, -288?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-33228)\/(-180) + (-4)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43 - 20\/(-30)*3\/(-2). Find the second derivative of -k - q + 19*k**5 - 42 + 90 wrt k.\nAnswer: 380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49807, -96029, -142257, -188491, -234731, -280977, -327229?\nAnswer: -373487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203320001 (base 4) in base 14?\nAnswer: 3b7a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 7*n - 11, 2*y + 3*n = -17 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3514\/(-21)*15\/(-8). Let h = 314 - m. Sort -2\/3, h, 54 in decreasing order.\nAnswer: 54, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/(-35))\/((-24)\/(-18640)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-18))\/(184\/(-24) - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3 + 15*p**2 - 23*p + 14. Let x(h) = 5*h**3 + 30*h**2 - 45*h + 28. Let q(a) = 7*m(a) - 4*x(a). Is 14 a factor of q(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60388 + 804*i**3 + 60388 - 357*i - 2*i**2 wrt i?\nAnswer: 4824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 48*r**2 + 5*r - 6. Is v(41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (4 - 17) + (23 - -16)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3344 - 3413301?\nAnswer: -3422200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*m + 3*r, -2*m = -6*m - r + 15. Suppose -m*o - 54 = -a, 0 = -4*a - a - 2*o + 358. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 23*b - 23. Let z be k(12). Suppose 3*y - 4*l - z = 0, 2*l - 3 = 5*l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/8637 - 86348\/95007. Let g = 31 + -30. What is the closest to -0.2 in g, c, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 5*n + 1. Suppose 0 = 21*p - 20*p - 5. Give x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 2 - 8*l + 4 + 1. Let a(q) = 2*q - 1. Suppose -13 = 4*f + 11. What is f*v(d) - 17*a(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.17289um in meters?\nAnswer: 0.00000317289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**4\/5 + 678*h**3\/5 + 273*h**2 - 3394*h\/5 - 816 = 0.\nAnswer: -3, -1, 2, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 + -83. Let b(r) = -7 - 7*r**2 - r**3 + z - 2*r**2 - 9*r. What is b(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*s = 15*z - 23, 3*s = -z + 1149 - 1183 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 8*q + 18. Let s be d(-9). Suppose 3 = -3*f + s. Determine r so that r**3 + 1\/2*r**f + 0 + 0*r + 1\/2*r**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m + 26*m + 6*m - 14*m. Let o(b) = b + 8. Let l be o(-6). Let g(q) = 2*q**2 - 3*q**2 + 0*q**l. Calculate g(n(y)).\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 10*a + 10. Let u be q(-9). Solve -2*m - 3 + u = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 1123*x**2 + x - 49*x**2.\nAnswer: -1172*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 6:14 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 8*d - 11. Let g be -1*(30\/3)\/2. Let r be i(g). Suppose s - 36 = -4*p, 2*s - r*s + 40 = 4*p. What is the remainder when 14 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5460486 - 0.3066812\nAnswer: -5460486.3066812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lulblmld?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -11 + 3. Calculate the lowest common multiple of d and (-4)\/(-18) - 100\/(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooososkfssssksskf. What is prob of sequence okos?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -127379\nAnswer: -3\/127379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 264 = -56. Let f(j) = -j**2 + 10*j - 4. Let y be f(7). Let l = g + y. Calculate the lowest common multiple of l and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 6. Suppose 25 = p - 4*h, -p - 6*h = -b*h + 10. Find the second derivative of -10*w**p + 33*w + 8*w**5 - 22*w**5 wrt w.\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/16*(1184\/(-740))\/((-54)\/(-45))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1129096592?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/30)\/(16\/(-72)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 589580 divided by 5.\nAnswer: 117916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -143*f + 29. Let y be k(-2). Let a = -313 + y. Solve 5*g = a*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 24743529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 1\/4*k**4 + 4*k + 2\/3*k**3 - 213 + k**2. Let a(u) = 3*u**3 + 4*u**2 + 5*u + 9. Determine 2*a(i) - 5*q(i).\nAnswer: i**3 - 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**3. Let p be g(-1). Suppose -168 = p*l - 16*l. Suppose 2*a - 5*a = -108. Calculate the remainder when a is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.4, 164, 5, -5 in increasing order.\nAnswer: -5, -3\/2, 0.4, 5, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a millennium?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22\/6 + -17 + 1300\/156\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejjjoeeoj. What is prob of sequence eojo?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 34. Let x(m) = m**3 - 5*m**2 + 6*m - 5. Give x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/45 and 2\/525.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 5. Let l(h) = 2 - 4 - 6*h + 5*h. Let r(s) = -3*k(s) + 7*l(s). Let f be r(4). Let i(z) = z + 1. What is i(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 46 = -3*x, 8*i - 54*x + 56*x = -82 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1869*q. Let n(m) = m. What is g(n(c))?\nAnswer: 1869*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -685 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*t + 116*t - 65*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23c7 + 59a4?\nAnswer: 7d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1199.1797804 - 0.07.\nAnswer: -1199.2497804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861000 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**8\/504 + d**7\/45 + d**6\/18 - 17*d**2. Factor g(x).\nAnswer: 2*x**3*(x + 2)*(x + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193889764 divided by 4\nAnswer: -48472441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {r: 4, v: 1, w: 1, x: 5, u: 6, m: 3}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11292999 and 8118?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -145.582555297 and -35.\nAnswer: -180.582555297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -74. Let i = k + -24.8. Let g = i - 4.93. Round g to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199 - -204. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 - -4. Let m(v) = v**3 - 1. Let p be m(0). Which is the closest to p? (a) 0.5 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + 11 - 38) + 18 + 36.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 4. Let c be (-7 + 6)*(1 - 7). Let k be r(c). Let z = -1 - k. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111110111000100101 (base 2) to base 3.\nAnswer: 11220221200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q - 43*q = -3*l + 18 + 25, -l - 2*q = 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:23 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (2 + -4)) + 7. Suppose 0 - 10 = -j*k. What is the units digit of 12\/k + -7 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4635 - y**2 + 4635.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = -5*l + 5, 0 = 3*l - 12. Suppose 2*h = t, t = 4*h - 3*t + 8. Suppose h*v + 18 = q*v. What is the smallest common multiple of 6 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367995107957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2090, 8300, 18646, 33128, 51746, 74500?\nAnswer: 101390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 + 4*r - 3*r**2 - 55*r**3 + 4*r - 6*r + r to the form j*r**4 + a*r**3 + v*r**2 + n*r + h and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = h - 45, 4*h - 336*b - 340*b = -677*b - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -28*f**2 + 0*f + 3\/8*f**4 + 7\/6*f**3 - 2 + 1\/60*f**5. Determine j(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4730 take away -0.1?\nAnswer: -4729.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-187)\/77 - -2)\/(3\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1751 + 52?\nAnswer: -16dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**11*j*j*j*j*(j\/(j**16*j))\/j*j*j assuming j is positive.\nAnswer: j**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 13, -5, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -1356.\nAnswer: 1356.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1158815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*f + 57, 0 = -p + f + 2*f. Let r be (-7)\/(-14) - p\/2. Suppose -29 = -3*z + r*m, -5*z + 5*m + 39 = 6*m. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 1846.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5584)\/(-6)*(-189)\/(-84). Suppose -17*h = -v - 65. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-2 - -51) + -2. Let n = 93 + a. Suppose 5*k - 252 = k. What is the highest common factor of k and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (7 - 44 - 8) - (-8 - -11).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 473*n**3 - 14*n + 2630*n**3 + n.\nAnswer: 2157*n**3 - 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -150.8654.\nAnswer: -452.5962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5 - 1.5. Let y = 3 + 0. Let d = -2 - y. Sort d, -0.5, p in increasing order.\nAnswer: d, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/5627 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 7*p - 3. Suppose m = 3*z - 2*m + 33, 8 = 4*m. Let r be (-2)\/9 - (-61)\/z. Let s be k(r). Is s <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -958, -1139, -1450, -1897, -2486, -3223, -4114?\nAnswer: -5165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**7\/560 - r**6\/80 + r**5\/32 - r**4\/32 + 15*r**2. Factor o(z).\nAnswer: 3*z*(z - 2)*(z - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 2:20 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 21\/2213495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + k + 3*k = 18, -4*k = -20. Suppose l = 2 - 3, 0 = -2*u - 5*l - 7. Let a be 6 - (u\/(-1))\/1. Calculate the highest common divisor of t and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7) + -8 + 18 + -14 + -37.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 599 - 291. What is the highest common divisor of v and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - h - h)*(5*h - 6*h - h)*(8 - 8 + 43*h)*(-4 - h + 4).\nAnswer: -516*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**13*p*p*p**(-3\/26))\/(p*p*p*p*p\/(p\/(p**(11\/6)\/p))*p*p*p**(-29)))**(-1\/24) assuming p is positive.\nAnswer: p**(-371\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/60 - w**4\/6 - 61*w**2. Suppose 15 = 4*b + 7. Let q be (-11)\/b - (0 - 1\/2). What is n(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399900 and 516.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 + 9 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3*(28 - 13). What is the tens digit of (-11)\/(-3*((-752)\/(-150) - i))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**4\/3 - 2*b**3\/3 - 2*b**2. Let m(c) = -4720*c - 33039. Let q be m(-7). Let f(i) = -i + 1. Determine q*x(s) + 5*f(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 1. Let l be (-70)\/15 + (-6)\/(-9). Let u be b(l). Suppose 4*h + h - 3*q - 93 = 0, h + q - u = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 337311212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n + 26*n - 112261*n**2 + 95461*n**2 - 144523*n**2.\nAnswer: -161323*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, b: 2, v: 2, p: 4}. Give prob of sequence ppp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4562\/(-266877)*(-52)\/72.\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 5\/4*x**2 - 1\/2*x - 1\/4*x**4 + 0.\nAnswer: -x*(x + 1)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 (base 13) in base 7?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 848 and 36289948?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, j: 5, w: 1, q: 4}. What is prob of picking 1 j and 1 q?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1518.\nAnswer: -2\/759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a = 90*a - 32. What is the fourth smallest value in 2\/13, -13, a, 1\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3996635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1739, -1754, -1769, -1784, -1799, -1814?\n\"Answer: -15*h - 1724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/171 and -21\/199937.\nAnswer: 1799433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -211, -318, -429, -544?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u. Let g(d) = -155*d**2 + 10. Let w(v) = 2. Let p(m) = g(m) - 4*w(m). Calculate r(p(s)).\nAnswer: 775*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -1. Let j = 14156777\/127252 - -2\/31813. Let n = 110 - j. Which is the second biggest value? (a) r (b) 0.5 (c) 2\/31 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 21*k**2 - 2*k**2 + 0*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(1\/5)*h*h)\/h)\/h**(-5)*(h\/(h\/(h**4\/h)*h))\/(((h\/(h*h**(2\/5)\/h))\/h*h*h)\/h))**(-5) assuming h is positive.\nAnswer: h**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + c + 66 = -1, 0 = y + 2*c - 26. Calculate the smallest common multiple of y and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 4*p**3 - 2*p**3 + (0*p**2 - 3*p**2 + 2*p**2)*(1 - 1 - p) + 552*p - 552*p - 13*p**3 to the form m*p**2 + u + a*p + x*p**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7\/2*k**4 + 13\/2*k + 23\/2*k**3 + 27\/2*k**2 + 1 = 0 for k.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 878295 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665487 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 19.91. Let l = -0.09036 + c. What is l rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1700.9 - -1695.9. Let c(u) = -u + 1. Let i be c(2). Let s be 0\/(-2) - 1\/(-2). What is the closest to i in s, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 78 = -14*g - 17*r, -2*g - 3*g - 57 = -6*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-13)\/104 - 1\/(14\/91)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298886.\nAnswer: 2, 7, 37, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27037 + -3271506\/121. What is the common denominator of -76\/9 and y?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*u - 4, 2*u + 0 - 6 = k. Let c be k\/11 + (-52)\/(-44). Suppose -9 = -3*w, -4*h - 1 + 4 = -3*w. Calculate the greatest common factor of h and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 7 - (6 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2 = 2*q + 5, 2*f = 2*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 2*z + 2*q - 14, -78 = 3*z - 3*q. Suppose 12*s - 45*s + 483 = -441. Let x = z + s. Solve -3*p = -2*p - x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*q - 0*v - 28, v = 2*q + 8. Let s = -3.6378 - -0.6378. What is the closest to 1 in s, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28170422 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 18.05. Let d = o + -16. Which is the third smallest value? (a) -0.4 (b) 1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 5. Let k(y) = 3*y - 7. Let n(q) = 7*a(q) - 5*k(q). Let f(c) = 5*c**2 - 3. Let t(p) = -15*p**2 + 10. Let x(o) = 10*f(o) + 3*t(o). Give n(x(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -2*r - r. Let m be 2 - (-7)\/(21\/186). Let i = r - m. Solve 2*s + 3 = i*g - 11, -s = 3*g - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -37496*n**3 - 13*n**2 + 58*n + 58. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1872097 or -1\/192?\nAnswer: 1872097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*f + 24 = 6*w - 8*w + 158, 4*w = f - 76 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1548441?\nAnswer: 3, 172049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 37 = -25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80522719\/1590 - 253218\/5. Let v = 2097797802188143\/22866 - 91743103375. Let o = v - -1\/3811. Calculate the common denominator of o and w.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1703*p = 1701*p + 10. Let s(a) be the second derivative of 3\/2*a**2 - 7\/2*a**3 - p*a - 3\/4*a**5 + 11\/4*a**4 + 0. Factor s(n).\nAnswer: -3*(n - 1)**2*(5*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 103. Let s be t(18). Solve 7*z = s*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/1230 and -61\/3444.\nAnswer: 17220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 + 25*f + 17. Let b = 185 - 192. Does 14 divide m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k**3 + 111*k**2 + 243*k + 54.\nAnswer: 3*(k + 3)*(k + 6)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388097, -776189, -1164281, -1552373?\nAnswer: -1940465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/9*(190\/(-209))\/((-14)\/22)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/(-27))\/(-14)*(-2)\/((-64)\/108)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, i: 5, c: 3, r: 1}. What is prob of picking 1 g and 1 c?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j + 17. Calculate g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (75\/(-125))\/((-2)\/140). What is the highest common factor of 966 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9008917.\nAnswer: 977, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-96405.\nAnswer: -48202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -58) + (-167 - -132)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201 and 536.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490444124 divided by 4?\nAnswer: 372611031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -306 or -3?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 19, i: 1}. Give prob of picking 3 p and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-180)*((-7)\/3 - -1)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 5*j. Let u(k) = -k**2 - 4*k. Let h(x) = -5*u(x) - 4*y(x). Let p(r) be the third derivative of 7*r**4\/24 + 13*r**2. Give h(p(b)).\nAnswer: -147*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12996 by -7570.\nAnswer: -6498\/3785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 8*z**2 - 14640*z - 5*z**3 + 0*z**3 - 4*z**4 + 14640*z + 3 to the form i + s*z**4 + u*z + d*z**2 + f*z**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 1009*k - 77 = 1004*k, -3*g + 5*k = 97 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t**2 - 2*t + 4. What is the smallest common multiple of k(2) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 223, 925, 2087, 3703, 5767, 8273, 11215, 14587?\n\"Answer: -k**3 + 236*k**2 + k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*o - 53*o - 84. Sort 115, o, 2, -5.\nAnswer: -5, o, 2, 115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155 - -58. Let s = -92 - o. Solve s*g + 0 = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -869, -937, -1003, -1067?\n\"Answer: t**2 - 71*t - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213 + -13?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(250)*-3)\/(-4*sqrt(128)) + -4).\nAnswer: -7 + 15*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -761 minus 335206067?\nAnswer: -335206828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001100101 - 10?\nAnswer: 1101001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 9*h**2 - 7*h + 8. Let z = 11 - 3. Let g be o(z). Solve -2*f - 2*f - g = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3. Suppose 2*x + 7 = x. Let s(n) = 2*n - 7. Let r(v) = v + 1. Let k(f) = 3*r(f) - s(f). Determine x*h(i) + 2*k(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8797624 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*m + 19 = -23, 5*p = -2*m - 48. Let v = 14 + p. Calculate the least common multiple of 5 and (6\/v)\/((-9)\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*q - 198 - 36, -3*w + 772 = -2*q. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -96, -190, -280, -366, -448, -526, -600?\n\"Answer: 2*n**2 - 100*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017138 to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116522\/40180 + 22\/20 + -1*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*y - 11, y + 8 + 2 = -5*m. Suppose 3*u = y*b + 1, -5*b + 3 = -u - 0*u. Suppose 154*c + 5 - 45 + 194 = 0. Which is greater: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2362\/35 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 341 + q**3 - 108*q**2 - 341 - 46*q**5 wrt q.\nAnswer: -2760*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*f - 1874, -2*y + 0*f = 3*f - 745. Calculate the least common multiple of y and 22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3728327598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281867911 to the nearest integer?\nAnswer: 16789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 - -1) + -5 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15415073403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-170)\/(-408)*4\/10. Factor 0*u**2 - g*u**3 - 1\/6*u**5 + 0*u + 0 - 1\/3*u**4.\nAnswer: -u**3*(u + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4310 is divided by 426?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 7*m**2 + 0*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1075*n = 1073*n + 2*m + 390, -2*m = n - 201. Calculate the remainder when 965 is divided by n.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 572*l**2 - 7*l + 5. Let h = -294 + 296. Is r(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*f + 5380, 4*f + 2*p + 5137 - 15913 = 0. List the prime factors of f.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -14 + (9 + -8 - -6). Let x(l) = 3*l + 28. Give x(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -107 and 0.08.\nAnswer: -8.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 a, and 1 e when three letters picked without replacement from akxke.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 475 + -335. Let z = -131039 + 131139. What is the greatest common factor of z and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7724, -15491, -23302, -31163, -39080, -47059, -55106, -63227?\n\"Answer: -x**3 - 16*x**2 - 7712*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4, 189 in descending order.\nAnswer: 189, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43477)\/31055)\/((-273)\/(-360))?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 2*q + q**3 + (-2*q**2 + 2*q**2 + q**2)*(-4 + 1 - 8*q + 2).\nAnswer: -7*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*f**2 - 2\/3*f**3 + 2\/3*f + 0 - 2\/3*f**4.\nAnswer: -2*f*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*a + 1430 = 0, 2*a + 2*a = 5*k - 1430. Let p(h) = -68*h + 638. Let f be p(9). Calculate the greatest common factor of f and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let r(g) = 4*g + 1. Calculate r(s) + 5*z(s).\nAnswer: 9*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1009934355 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867809 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: Let f(z) = -3*z**3 - 15*z**2 - 2*z - 11. What is f(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*2)\/((sqrt(72) - (sqrt(72) - -2*sqrt(72)))\/sqrt(12)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 42 = 8*s. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*9\/(-81)*-9. Let l be (-1 - -8)\/(-4 - a\/4). Suppose 9 = c + 2*c. Sort c, l, 5.\nAnswer: l, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96861, -96861, -96849, -96819, -96765?\nAnswer: -96681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 52 + -123 - -76?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -525128150 to the nearest 1000000.\nAnswer: -525000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = -30. Suppose -4*o = -4*j, o + j + 0 = h. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 4. Let z be 1\/(-1) - (0 - 7). Let j(v) = 35*v - 1. Let n(c) = -9*c. Let k(r) = -j(r) - 4*n(r). Determine z*k(f) + d(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 12:07 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 4 + 5 = -2*o, -5*o = -s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Suppose -1 = 3*y - r*m - 16, 0 = 3*m. Suppose 2*q - y*q + 39 = 0. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z - 14 = l, -2*z + 3*l + 12 = 0. Suppose -z*c - 72 = -7*c. Calculate the smallest common multiple of c + 0\/(-3 - -6) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13920 + -13914. Solve 5*v - 7 = -3*s, 10*s - i*s = -4*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.70789459 rounded to two dps?\nAnswer: 2.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 75.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(2*v**2 - v**2 - 5*v**2) - 30*v**2 + 852*v**2 + 884*v**2.\nAnswer: 1702*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4611941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28620 divided by -3180\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 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 n = -9 - -11. What is the least common multiple of 22 + 1 + 1 - n and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/172410 and 193\/4310250.\nAnswer: 4310250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (462\/195)\/((-32)\/40). Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 30 = -4*w. Let u be 2\/(-15) - (-8)\/w. Let j(f) = -f**2 - 3*f + 3. Let g be j(-4). Put 0, g, u in descending order.\nAnswer: u, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 26 - 3 + 56)*(-26*f + 41*f + 46*f) + (-3*f + 2*f + 2*f)*(1 + 0 - 2) as v + o*f and give o.\nAnswer: 4147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**3*p - 234*c**2*p + 34257*c*p - 270560389*p wrt c?\nAnswer: 3*c**2*p - 468*c*p + 34257*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 76 - 24*z - 22 - 22 - 24 to c + k*z and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 9 - (-6)\/(-3). Suppose -d*r = p - 152, 0 = -6*r + 3*r + 5*p + 228. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = c. Suppose -c*l + 35 + 1 = 0. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 126699782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnngngngffn. What is prob of picking 1 f and 1 n?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*h - 799, -o + 4*h + 115 = -69. Which is bigger: o or 191?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 43 - (-1 + -6 + 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23698 and 159?\nAnswer: 3767982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*b + 76, -3*b - 2*b + 48 = 3*j. Let v(w) = w**2 + 3*w + 19. Let u be v(b). Let m = 786 - u. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 - 183. Solve n*w = 3*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4128.19, 3, 1 in decreasing order.\nAnswer: 4128.19, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030466161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/32 and 79\/13492.\nAnswer: 107936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 105419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 858305 or 858304?\nAnswer: 858304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -97*k**2 + 243*k - 394. Determine f(3).\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m + 154. Let g be a(-26). Is 15 a factor of -7 + (209 - g) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 9 = -2*u - 7, 2*i + 16 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000089654 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 3, h: 2, l: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3788 times -0.03\nAnswer: -113.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2. Let i(d) = 5031867*d**2. Give t(i(l)).\nAnswer: 50639371011378*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Solve -3*h + x*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.93 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 + 1.06. Let k = -1.24 + w. Let g = k + 0.05. Round g to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90432\/4937 or -19?\nAnswer: -90432\/4937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 313301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 24*z**2 - 24*z + 13. Calculate the remainder when i(25) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmxr when four letters picked without replacement from {m: 5, s: 2, r: 8, x: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 12. Let p be w + 1 + 0 + 6. Solve -4*i = -4, 0*i - p*i - 1 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19596545 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11 - 5 = 0. Suppose 3*l - 4 = 2*f + 5*l, -5*f + l + 8 = 0. Is r greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18*(-5)\/(-15)*-22. Let i = 18 + 29. What is the remainder when (-12304)\/(-88) + 24\/f is divided by i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227353*p + 7 + 227355*p - 23 - 21.\nAnswer: 2*p - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -663460, -12 in decreasing order.\nAnswer: 3, -12, -663460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2550837 is divided by 78.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + 553?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 23*p**2 - 249*p - 5003. Give x(-25).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 10. Suppose o*z - 285 - 141 = 0. Suppose g - z = 120. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3360, 13437, 30232, 53745, 83976?\n\"Answer: 3359*h**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 90, 111, 130, 147, 162?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-104))\/((-735)\/(-420))\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-339597.\nAnswer: -23771.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -4 - 2) + (-237 - -240)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(8\/3))\/w**(2\/17)*w**(1\/8)\/(w\/w**(-10)) assuming w is positive.\nAnswer: w**(-2989\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, w: 3}. Give prob of picking 3 x.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123525 and 1713150.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7356 nanometers in meters?\nAnswer: 0.0000000067356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3 - 9 - 1 + 3*q - 2. Let b be d(6). Let f = 2 - -3. Solve 4*j + j - 5 = 0, -g - f*j = -b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 53*b + 660.\nAnswer: (b - 33)*(b - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*a - j + 4, 0 = 5*a - 2*j - 18. Let q be -2 + 4 + 2 + -1. Suppose a*k + 5*h - 778 = 0, -h = 5*k - q*k - 778. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*p*w**2 + 94*k*p*y - 490*k*p + 7697*k*w**2*y + k*w**2 + p*w - 278*w**2 wrt y.\nAnswer: 94*k*p + 7697*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 + 8*o + 1. Let i(u) = -u**2 - u + 1. Let a(k) = 4*i(k) + n(k). Calculate a(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -507*r + 504*r. Let m(u) = 25*u**3 + 5*u**2 - 6*u - 49. Let c(i) = -5*i**3 - i**2 + i + 9. Let b(p) = r*c(p) + 2*m(p). Calculate b(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 699, 1271, 1845, 2421, 2999?\n\"Answer: v**2 + 569*v + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = 381 - 171 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + q + 216 - 22 = 0, 495 = -5*m - 5*q. Let h = 141 + m. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2217, -2208, -2195, -2178, -2157, -2132, -2103?\n\"Answer: 2*m**2 + 3*m - 2222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -398*d**3 - 5*d**2 - 13*d + 3. Let m(x) = -271*x**3 - 3*x**2 - 9*x + 2. Give 5*g(i) - 7*m(i).\nAnswer: -93*i**3 - 4*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7020920 to the power of 1\/2, to the nearest integer?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:57 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 - (-483)\/92. Suppose -17 = -4*h - a. Suppose -h*u = u - 1636. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 923302*-490\nAnswer: -452417980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + (-2 - -2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4374*f**4 + 11*f + 7150. Let w(a) = 2187*a**4 - 6*a - 3574. Let u(o) = -6*h(o) - 11*w(o). What is the derivative of u(r) wrt r?\nAnswer: 8748*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3 + 12*l**2 + l**3 + 10*l + l**3 + 3*l**3 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1399.67275 to the nearest ten.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - (4 - 6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 12*s - 13*s. Let i(u) = 30*u**2 - 11*u + 1. Is i(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6978, 26216, 58280, 103170, 160886, 231428, 314796?\nAnswer: 410990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -112842, 1, 4, -57, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u - 12. Let t(c) = 21*c + 21. Give 4*t(s) + 7*y(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -15. Let r(k) = 10 + 52*k + 57*k - 108*k. Give r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 18*q - 2 = -5*p, -2*q - 20 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/22 at most 234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 227 - 73 = 7*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08615 - 0.01385. Sort 3, 0.2, 29, a, -2 in decreasing order.\nAnswer: 29, 3, 0.2, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63\/15*(-45)\/(-27). Is c >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -15. Let y = -2 - w. Determine r, given that -5*r**2 - 4*r - y*r + 2*r**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/3 + -1)*-6. Let g = q + 2. Let y = -43 + 303\/7. What is the nearest to y in g, 5, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 28*q**3 - 8 - 1 + 1.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*c + 7 = 42*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10235645 is divided by 243?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 4) to base 10\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3796 or 3795?\nAnswer: 3796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 456, 1833, 4130, 7347, 11484?\n\"Answer: 460*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51904 - -90954. What is the ten thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 14. Let q(b) = 280*b**2 + 270*b - 88. Let d(s) = -6*f(s) - q(s). Factor d(j).\nAnswer: -2*(j + 1)*(137*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, 27, 0.4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -21. Let v = r + -14. Let x be (0 - (-3)\/(-5)) + (-112)\/(-320). Which is the third smallest value? (a) -4 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5172*t + 126640 + 3014*t - 134663 wrt t.\nAnswer: 8186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/8 + 337*u\/8 - 501\/4 = 0.\nAnswer: 3, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, -4\/5, 3, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/3)*c**(1\/2)*c)\/(c**1\/(c*c*c*(c**0*c)\/c)) assuming c is positive.\nAnswer: c**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37659.9l in millilitres?\nAnswer: 37659900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*q + 4*q + 3280016, -5*c - 8200020 = 5*q. What is c rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2328 - 2345 - (-143 + 0).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1) + (10 + -25 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1744 - 0.3256. What is the second biggest value in -0.4, -1.45, h?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u - 3*o = 251, -u + 118 = o. Suppose 0 = 126*x - u*x + 10. What is the closest to x in -1\/8, 2\/9, 2\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*l + 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292306016, 292306015, 292306014, 292306013, 292306012?\nAnswer: 292306011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 3, -4\/3, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -6*sqrt(192)*-1 + -4*-2*sqrt(192))\/(-4*4*sqrt(20)\/sqrt(5)).\nAnswer: -15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 + 0 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**9\/1512 - f**6\/180 + f**3\/3 + 4. Let v(x) be the third derivative of u(x). What is the third derivative of v(h) wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + -5*(sqrt(2156) + 0)**2 + (sqrt(1584) + 1 + sqrt(1584))**2 + 4).\nAnswer: -48*sqrt(11) + 4436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/3)*(i*i**(2\/7)*i)\/i*i**(-6)*i\/(i**(5\/2)\/i))\/((i\/(i*i**(2\/7)))**(2\/7))**(-47) assuming i is positive.\nAnswer: i**(-2171\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 3. Let i(r) = r + 2. Let q(f) = -3*i(f) - 2*j(f). Let c(u) = -5 + 5 - 2*u**2. What is c(q(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-14))\/((-30)\/(-210)). Which is the closest to 1? (a) 0.6 (b) o (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r - 296. Let n be w(-41). What is the smallest value in -2, 3\/2, n, 3, 3\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 38 = -5*f, 5*x = 6*x - 3*f - 14. Solve -9*d + 4 = -x*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226995 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 10:49 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v + 48 = 23*v. Let n be 306\/(-189) - v\/(-9). Let r = 2 + 1. Which is the third biggest value? (a) n (b) 0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 - 129\/(-27). Let v be (-9)\/(-45) - (-19)\/a. Solve -3*u - v*m + 0*m = -3, -2*m - 11 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 105. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a. Let i(k) = 14*k + 28. What is -i(h) + 4*z(h)?\nAnswer: -6*h - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5082600 to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173 + s + 2*s**2 - 162 - 4*s to the form p + t*s + k*s**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 71*d + 1106. Let c be h(-64). Calculate the highest common divisor of 376 and c.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 803 (base 14) to base 9\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(9\/(-9)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3349548 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 3525*p**2 + 167886*p + 113. What is z(-47)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 280.99 - 281. Let o = -0.377 - 0.123. Let j = -0.2 + 0.3. Put 3, o, j, c in increasing order.\nAnswer: o, c, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**4\/12 - 2*m**2. Let a(p) be the third derivative of -p**4\/8 + 4*p**2. What is a(z(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12925058 divided by 4?\nAnswer: -6462529\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/30*((-12)\/(-3) + -2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 - 6 = 0. Suppose -y*b = 25, 0 = -5*w + 4*b - 2*b + 10. Solve -3*l - 24 = 5*x, w*x + 4*l = 2*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -12. What is the second derivative of 5*p**4 + 6*p - 2*p + 2*p**3 - u*p**3 wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.6. Let t = -14.7 + 14. Let k = t - -0.3. What is the smallest value in i, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/2 + 1067*o\/2 + 111435 = 0. What is o?\nAnswer: -782, -285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - 1.7. Let c = -0.12 + 1.12. What is the third biggest value in 1\/4, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -268*m - 3196. Let g be o(-12). Suppose -7*r + 3*r = -2240. Calculate the greatest common factor of r and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 86002\/15507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70995594?\nAnswer: 2, 3, 857, 13807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4*u + 1 + (0 + 2 - 1)*(2*u + 0*u - 4*u) + 5*u - u + 0*u)*(0 + 4 - 3)*(43 + 207 + 18) to j*u + m and give j.\nAnswer: 1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(-8)\/660 + 870\/1287. Factor n + 2\/13*x**2 - 8\/13*x.\nAnswer: 2*(x - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135.3 - -135. Which is smaller: 1\/33 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 44*q - 26. Let f(l) = 5*l - 3. What is 52*f(x) - 6*s(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1819\/90 - 118\/45. What is the common denominator of -19\/40 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 75 = 51*v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*2 + sqrt(180) + -4 + (sqrt(180) - (-4*sqrt(180) + sqrt(180))) + 3 + sqrt(180) + 2)**2.\nAnswer: 96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -107*h**3 + h**2 - 2*h - 1. Suppose -2*x - 2 - 6 = 2*v, 4*x = -5*v - 19. Is o(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6208*s**3 - 12*s + 21*s - 9*s.\nAnswer: -6208*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 168.4934 - 0.0934. Let a = 168.2953 - c. What is a rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-15)*(-3)\/(-1). Suppose 0*s - v*s + 8 = 0. Factor -6*t**3 + 2*t**3 + 2*t**3 + 0*t**s + 2*t**4.\nAnswer: 2*t**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -1.0122950302?\nAnswer: 1.3122950302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 i when four letters picked without replacement from iiouuuuoioo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2 + 1. Let p be 3 - (1 - 1)\/(-1). Let b(v) = 8*v**2 - p*v + 4*v**3 + 3*v + v + 6. Let d = -2 - -3. Determine d*b(g) - 6*r(g).\nAnswer: -2*g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1445468 - -1446188.6141. Let z = x + -724.22. Let a = 3.6 + z. Round a to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d + -576574?\nAnswer: -5765e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-36)*d))\/(d*d**(1\/5))*(d\/((d\/(((d**(2\/5)\/d)\/d)\/d*d*d))\/d))**(-29\/3) assuming d is positive.\nAnswer: d**(-631\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y. Let x be a(0). Let m = 35 - 15. Solve x*h = 4*h - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 1\/12*h**4 + 21*h + 5\/2*h**2 + 0 + 5\/6*h**3. Let s(y) = -5*y**2. Let t be s(-1). Give k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/106954 - 213905\/320862. Let r = -1 + 1. Which is the smallest value? (a) r (b) -12 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60821409 and 902?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 111321 (base 8) to base 3\nAnswer: 1220120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 10*u - 29645. Let a be u\/(-2) + 15\/10. Is 9 a factor of 1\/(-8) + -3 + a\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let z(s) = s**2. Suppose -7*t + 4*t = -3. Let j(y) = 8*y**2. Let u(o) = t*j(o) - 16*z(o). What is u(r(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1666, 1674, 1694, 1732, 1794, 1886, 2014?\nAnswer: 2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 264 - -3?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - r = -42. Let x(s) = s**2 + s. Determine x(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(204) + -4*sqrt(204)))\/sqrt(12).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y + 1. Let o(u) = -486*u + 392. Let v(w) = 4*l(w) + o(w). What is the first derivative of v(s) wrt s?\nAnswer: -506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43.7 + 46. Let z = c + -2.30000031. What is z rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 311 + -5?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g**2 + 2*g**2 - g**2)*(4 - 4 - g**3) + 2 - 2*g**5 - 2 + g**5 - 6*g**5 + 3*g**5 - 13*g**4 + 13*g**4 + g**5)*(2 - 3 + 2).\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x - 111 = 0. Suppose 168 = 431*o - 423*o. Calculate the remainder when x is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 16) to base 9\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-5))\/2 + 3\/15. Which is smaller: -6 or z?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.6 + -27. Which is the fourth biggest value? (a) 3\/5 (b) 0.5 (c) -2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6288, -25131, -56536, -100503, -157032, -226123?\n\"Answer: -6281*h**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6909.959 seconds?\nAnswer: 6909959000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -30, -20?\n\"Answer: 10*w - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-10) + 2952\/40 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 33 - 12 + (-1 + 5 - 3)*(-4 - 3 + 5) - 2 - 2 + 2)*(10*l - 4*l - 3*l - 3 + l**3).\nAnswer: -16*l**3 - 48*l + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 5:27 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*b = -489*b - 498*b - 4656 for b.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3 - 8252*t**2 + 5281058*t + 7211172792 = 0. Calculate t.\nAnswer: -636, 2381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 - -0.32. Let o = n - 0.5. Sort -5, -1, o in descending order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 570 - 1709\/3. Let f be (-2 + 0)*3\/2. What is the third smallest value in f, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (0\/1)\/1. Let n(w) = -w**2 + 18*w - 66. Let o be n(12). Let x(i) = -3*i + 9. Let m be x(4). Sort m, u, o.\nAnswer: m, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 355*h**6\/2 + 236*h**3\/3 + h - 879. What is the third derivative of s(u) wrt u?\nAnswer: 63900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13571032 and 1768?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6*c = -0*c. Suppose -4*k + 3 + 1 = c, o - 109 = 5*k. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - 24*j + 21. Let u be v(-11). Let w = 55 - 88. Let o = u + w. Solve 0*s - 2*s + o = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawaaaasaasssawsasa. Give prob of sequence awa.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/5))**28 assuming o is positive.\nAnswer: o**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74781 and 16191?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(-3\/19))**(1\/27) assuming l is positive.\nAnswer: l**(-1\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17435 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8104 - 8102. What is the second smallest value in 7\/3, 1\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1691169?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 6*h + 3. Let n(o) = o**2 - 2*o - 1. What is 8*n(d) + 3*w(d)?\nAnswer: 2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Suppose 5*b = -r + 56, p*r = -3*b + r + 20. List the prime factors of (8\/b)\/((-1)\/(-39)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.255073113 less than -595?\nAnswer: -1157.255073113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 11*j**2 + 31*j - 140. Suppose 5*r - 29 = -4*n - 0*r, 3*n - 3*r = 15. Let z be w(n). What is the highest common divisor of z and 1440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5. Suppose 2*l = -4 + 4. Give f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (sqrt(144)*1)\/sqrt(8))\/(sqrt(30)\/(sqrt(20)\/sqrt(4))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 9*l + 12. Let f be x(-3). Suppose -5*r + 0*r = f*o - 30, 25 = 5*o. Solve r*j - 5*t = -0*j - 32, 0 = 5*j + 2*t + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 987744.7 micrometers?\nAnswer: 98.77447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 781\nAnswer: 12496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 6791*b + 508058. Give v(74).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 10\/131, 0.5, 0.39?\nAnswer: 10\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 31*f - 48. Let l be j(22). Calculate the highest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 + 16 + 1 + 159 + -3. Solve -28*v + 51 - g = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -61, -95, -131, -169, -209, -251?\n\"Answer: -g**2 - 29*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-36)*(175 - 159).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2794, -2790, -2784, -2776, -2766?\n\"Answer: p**2 + p - 2796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102.7 - 11.7. Let z = -21266809364.99999943 - -21266809274. Let x = l + z. What is x rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-34)\/12 + 3)*(-8)\/10. Which is the nearest to p? (a) -2\/3 (b) 5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102372 and 456?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*v + 42, -26 = -5*v + 3*l - 120. Let y be ((-2)\/(-4))\/(v\/8). Sort -1, y, -5\/3 in descending order.\nAnswer: y, -1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -14*t + 81*t**2 + 150*t**2 + 32*t + 59. Is k(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence effz when four letters picked without replacement from ezfzzefeeeeeefeeffz.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -323077*b**5 - 2*b**3 + 45410*b**2 wrt b.\nAnswer: -19384620*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19186\/1991 - (-36)\/(-22). Solve 4*p = -o + 17, 3*o - r + 5 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42, 33, 26, 27, 42, 77, 138?\n\"Answer: z**3 - 5*z**2 - z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 1936 - 1886. Calculate the smallest common multiple of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 - -190.6. Let u = 3.6 - w. Let a = 23.0000019 + u. Round a to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -593*o**6\/120 - 703*o**5\/30 - 39*o**2 + 10*o. Find the third derivative of l(q) wrt q.\nAnswer: -3558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = -11*i + 230. Let l(y) = 57*y - 59. What are the prime factors of l(i)?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7597 + 10642. Calculate the remainder when l is divided by 113.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -1574 - 100. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.4 + -4.4. Let s = 45 + -39. Let b = 3 - s. What is the second biggest value in q, -4\/5, b, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/224 and -101\/98.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 74\/(-10) + 24\/16 + 84\/(-40)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 11. What is g(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*w**3 + 5*f*w - 56*f + 6*w - 1 wrt w?\nAnswer: -6*f*w**2 + 5*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*k + 133 - 116 = 0, 0 = r + 4*k + 7. Which is the second smallest value? (a) r (b) -6\/7 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08 and -616.\nAnswer: -615.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**3 + u**2 - 11*u + 2. Let d be n(0). Let q be -1 + -2 + 3 - -7. Suppose -4*p + q = -13. Solve -4*j = -d*a - 0 + 22, 3*j - p*a = -34 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 355 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 903, 1785, 2667, 3549, 4431?\nAnswer: 5313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8\/5)\/f*f*f*f**(-2\/41)*f assuming f is positive.\nAnswer: f**(72\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -364999*w + 12. Let q be i(-12). Suppose q = -f - 2*f. What is f rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 13) + (-47 + 30 - (-7 - 0)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 7*p + 2*p. Suppose -3*z = -4*u + 3 + 1, u + 5*z - 24 = 0. Let q(i) = -i**2 + 5*i**2 - u*i**2 + 6*i**2. What is q(w(a))?\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -4\/73, 8, -6?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-33) - (-1272)\/22. Let v = -25 + o. Let c be (-275)\/v*(1 + 551). Round c to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 78\/248 + (-1)\/4. Let s = d - 101\/124. Put s, -3\/2, -4 in descending order.\nAnswer: s, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1362 and 211814.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5}. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + 678\/(-54) + ((-64)\/32 - -12).\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzzzf. What is prob of sequence zz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 18. Let c be v(8). Suppose u = 5*j + c*u + 182, 3*j = 3*u - 102. Find the common denominator of -81\/14 and (-14)\/j*97\/(-7).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -55432433?\nAnswer: -55432434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.36762 micrograms?\nAnswer: 0.00000000000036762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 4828?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5219822l in millilitres?\nAnswer: 521.9822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-5)*(100\/(-24))\/5 and ((-47)\/(-11))\/(2 - 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15309 divided by -1.\nAnswer: 15309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 + 12*w**2 + 2*w. Let v(x) = x**3. Let t(l) = -q(l) + 3*v(l). Is t(-12) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-98)\/(-5) - (-21)\/(-35). Suppose -o*r - 46333 = -26*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-120)*-12)\/(3\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/763 and 5\/3948.\nAnswer: 430332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caac when four letters picked without replacement from {a: 4, c: 3, q: 5}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 - -257. Suppose -h = -3*q + 16. Let m = -40 + q. What is m rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/2 (b) 2\/13 (c) 3 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.2 (c) 5\/2 (d) 663 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073 = 8*z - 897 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -755*g - 8309. Give r(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 184 = -92. Let o = -692\/5 + g. Let r = -1.5 - -2. What is the nearest to o in r, 0.1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + 4 + -5 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 1)\/(15\/(-10)). Solve 2*c + 0*u - 4 = l*u, 3*u = 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -891 and 11443.6.\nAnswer: 10552.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 4*y - 4*s, 2*y + 2*s = -4. Suppose y*h = 3*h - 24. Calculate the remainder when 31 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2101*k + 10. Let t(r) = 1050*r - 4. Give -3*q(s) - 7*t(s).\nAnswer: -1047*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12*((-35)\/455)\/(16\/(-156))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s + 84*s - 44*s - 41*s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2926833 litres in millilitres?\nAnswer: 292.6833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6818909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 + 2*z - 4. Let t be b(-3). Let a be t\/(-3) + 462\/18. Let k = 43 - a. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.997 and -67.\nAnswer: -66.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1103 in -1, -2\/7, -1\/3, -3, -22?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*m - 2, 59*m = 3*y + 58*m - 70. Let q = -1 + 42. Calculate the remainder when q is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-42))\/(78\/(-24)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 63329920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725377429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 8:57 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1088) + sqrt(1088) + 4 + (1*sqrt(1088))**2*-5 + ((sqrt(102)\/sqrt(24))**2 + sqrt(17) + (sqrt(612))**2 + -4)*-3.\nAnswer: -29091\/4 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -9, -8, -3, 6, 19, 36?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*m + 2 - 4 + 82*m.\nAnswer: 20*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/222 and -14\/11.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6 - -1)\/((3 + -5 + -4)\/1) and -65\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 207*t - 44*t - 47*t - 60*t - 49*t. Let l = -11 + 16. Let i(x) = -4*x - 3*x + l*x. Calculate i(m(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + 1\/3*d**2 - 1\/3*d**3 + 0.\nAnswer: -d**2*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) + 50\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12)*-4)\/1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71900 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let z(l) be the third derivative of l**4\/24 + 149*l**3\/6 - 65*l**2. Is z(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -18*f**3 + 5*f**2 + 7*f + 9. List the prime factors of a(-4).\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(171) - (-5 + sqrt(171) + sqrt(171)*-1)) + (sqrt(171) - (sqrt(171) + 0 + sqrt(171))*5) + sqrt(171)*-3*5*4))**2.\nAnswer: -8160*sqrt(19) + 3162916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 0.03 (c) 1\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 4, u: 2, c: 1}. Give prob of picking 2 x, 1 u, and 1 c.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*y = -94 + 9, -2*l + 4*y = 50. Let i = 18 + l. Are 3 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 5. Let m(a) = 3*a**2 - a - 5. Let g(o) = 5*j(o) - 4*m(o). Let y(v) = -3*v**2 - 5*v + 6. Give 5*g(t) + 4*y(t).\nAnswer: 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b3 (base 16) to base 12.\nAnswer: -152b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 779\/10 + -387\/5. Let q(z) = -z**3 + 5*z**2 + 2. Let r be q(5). Let t be 4\/6 - r\/6. What is the second smallest value in d, t, -3, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and -1594.154 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 178?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 0*d + 1\/210*d**5 - 10 + 5*d**2 - 1\/84*d**4 - 2\/7*d**3. Let f(w) be the second derivative of u(w). Factor f(v).\nAnswer: 2*(v - 3)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 + 142. Let x be ((-24)\/7)\/(((-24)\/(-56))\/(-3)). Let w = j - x. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i**3 - 5*i**2 - 13. Let x(w) = -6*w**3 + 2*w**2 + 7. Let j = 70 - 75. Let n(a) = j*x(a) - 2*g(a). Find the first derivative of n(f) wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(2*h + 2*h - 5*h) - h - 3*h + 5*h - 3*h - 6*h + 2*h)*(-1 - 2 + 4)*(-3 + 4 - 2)*(-15 + 16 - 24).\nAnswer: -115*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/5 - 2*p\/5 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5*10 - 0. Let s = -10\/3473 - -373671\/715438. Let a = s - 2\/103. What is the closest to a in 3, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -310\/3 or -103?\nAnswer: -310\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107406 and 442.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2147 (c) 0.38 (d) -84 (e) -3\/2 (f) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 2:09 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 35750?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433272 a multiple of 776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 - -1) + 3 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 17.8. Let b = -13 + p. Let r = 0.001 + 1.999. Put r, -2, b in increasing order.\nAnswer: -2, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -14. Suppose -c*j = -6*j + 600. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4300749kg?\nAnswer: 430.0749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + -2 + 0 - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -237.140307 rounded to the nearest integer?\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.05 and -119318?\nAnswer: 119322.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*b + 2049, 92*d - 4*b + 5134 = 97*d. What is the smallest common multiple of d and 459?\nAnswer: 17442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2141 + 2140.994851. Let j = -0.794581 + z. Let y = j + 0.8. Round y to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*h + 7*h - 42 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -17*x + 74*x - 12*x - 30*x - 13*x. Let b(a) = 23*a**2 + 5*a. Let z(k) = 35*k**2 + 8*k. Let m(r) = -8*b(r) + 5*z(r). What is g(m(w))?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*51*(-55)\/(-22)*14\/(-105)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/24)\/(37\/((-592)\/(-48))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.14 - 0.06. Let h = 0.6 + a. Let w = 75\/7 + -74\/7. What is the third smallest value in 0, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 319818, 319823, 319828, 319833?\n\"Answer: 5*o + 319813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nii when three letters picked without replacement from nniiiniini?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86121775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29334, 2.256, -2?\nAnswer: -29334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/((-20)\/2) + 13. Solve 10 = j - 2*o, -j = 2*o - 0*o + t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*o - 456*o + 7 = 4*w, -2*w + 2*o = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -234.21707?\nAnswer: 230.21707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 14*m - 496. Suppose 2*n = -44 + m. Solve 2*l + l - n = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -760670, -760678, -760686, -760694?\nAnswer: -760702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 19*x + 33. Let u be r(18). Let y = 83 - u. Suppose 11*f - 13*f = -y. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 2*m**2 + 147. Calculate the remainder when x(0) is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l - 5 - 5*l + 8*l. Let v be o(4). Suppose -v = 4*p - 163. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.57 + 76.57. Do 0.1 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4 - 664*r**3\/9 - 3754*r**2\/3 + 1768*r - 9047. Solve p(g) = 0 for g.\nAnswer: -39, -17, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*z + 277*z = 6228. Calculate the lowest common multiple of z and 2422.\nAnswer: 14532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -333 != -332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.65488083 rounded to three dps?\nAnswer: -3.655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40549*-81.3.\nAnswer: -3296633.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1053) + 1)*1.\nAnswer: -1 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**5\/30 + 5*s**4\/12 + 2*s**3 - 12*s**2 - 1. Let l(k) = 0. Calculate k.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 300*r**3 + 3*r**2 + 11*r - 3. Let t be i(-3). Let a = -267623\/33 - t. What is the common denominator of 26\/21 and a?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 0) + -2 + (-80 - -85).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222684629 - -0.4.\nAnswer: -222684628.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95241 and 954.\nAnswer: 571446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 202\/14 + (-20)\/(-35). Suppose -14*s + 27 + z = 0. Solve s = -3*h + 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6453, -17664, -36349, -62508, -96141, -137248, -185829?\n\"Answer: -3737*l**2 - 2716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17870, -17875, -17880, -17885, -17890?\n\"Answer: -5*v - 17865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-12))\/(1\/(-4)*2). Is 18*q\/(42\/(-49)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + -14 + (-27 - -47) + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 4*u + 55. What is n(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 709, 1530, 2665, 4114, 5877?\nAnswer: 7954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**5\/2 - 4*m**3 - 4*m. Find the second derivative of g(w) wrt w.\nAnswer: 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:02 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -4*v + 3*z, 2*v - 4*z = -4. Let u = 5 + -5. Suppose u = m - v*m. Solve -5*y + 5*k = m, 3*y - 2*y - 2*k - 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*q - 59*q + 184*q + 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 38*c - 36*c - 11, -39 = 4*f - 3*c. Is ((-6)\/f)\/(2\/43467) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -289 + 487. Calculate the remainder when f is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - r. Suppose -1 = 3*j + 4*m, -2*j + 3 = -r*j - m. Which is bigger: j or -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7714 + 6876 - 1368 = -188*x + 1002 for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + 406\/(-8))\/15 and -27\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30563 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -47*g - 4 + 2. Let q(c) be the second derivative of 0 + 5\/72*c**4 - 22*c + 1\/18*c**3 + g*c**2 + 1\/30*c**5 + 1\/180*c**6. Let q(o) = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*p**2 - 4755*p + 147250 = 0. What is p?\nAnswer: -62, 475\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000054448 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 + -139. Suppose -3*r = 2*r - 10, 3*l - x*r = -4. Let i(b) = 4*b**2 + b + 72. Does 6 divide i(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -15*p - 489. What is h(-23)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 85*j**2 - 3. Give m(-3).\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*v. Let a be 2\/5 + (-16)\/(-10). Suppose -o - a*o + 3 = 0. What is the nearest to 0.1 in v, 2\/7, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 60?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l. Suppose -5*v + 5*z - 10 = 0, -2*z = -v - 0*v. Let n(y) = -3 + 17 - 5 - 8. Let b(i) = -4*i - 4. Let p(c) = v*n(c) - b(c). What is j(p(h))?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4268 + 4269. Put -2\/21, -7\/39, z in descending order.\nAnswer: z, -2\/21, -7\/39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4 - 7868*o**3 - 7746042*o**2 - 15468488*o - 7730312 = 0. What is o?\nAnswer: -1966, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6007 (base 9) to base 7\nAnswer: 15526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99929 by 6.\nAnswer: 99929\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.9103 + 2.911. Let l = -1 - -5. Let t = l + q. What is t rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13782299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 654030.544 to the nearest 100.\nAnswer: 654000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 73010*o - 1332615025.\nAnswer: -(o - 36505)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 10:46 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8290?\nAnswer: 2, 5, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 50 = -a - a, -5*l - 50 = -2*a. List the prime factors of 4645\/a - (-4)\/20.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15643186*d**2 - 8454671*d + 1?\nAnswer: 31286372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 10. What is the remainder when 8 is divided by s(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**2 - 4*o - 5. Let k(z) = z**2 + z + 1. Suppose -2 = 12*a - 26. Calculate a*i(f) + 10*k(f).\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - h + (-11 + 1 + 1)*(-4*h + 2*h + h))*(-11 + 11 + 2*h**2).\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = p + 97 - 304, 5*n - 2*p = -1032. Let l = -142 - n. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**3 - 12*v**2 - 10*v - 62. Let b(o) = o**3 - 3*o**2 + o + 1. Let a(x) = -6*b(x) + n(x). Calculate a(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1)**(-37)*y**(-5)\/((y\/(y*y*y**2*y*y)*y)\/y))**(-12\/13))**(2\/95) assuming y is positive.\nAnswer: y**(888\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Let k = 1.057 + -6.057. What is the nearest to -2 in -3, t, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + 1 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1 - sqrt(1088))**2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -1055*h**8\/56 + h**4\/6 - 4*h**3\/3 - 1252*h. What is the third derivative of v(b) wrt b?\nAnswer: -126600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -85*p**2 + 15302*p - 377. Determine v(180).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 8 - 8)*(0*m + 2*m - 3*m + (-1 - 3 - 3)*(3*m - 2*m + 0*m)) to the form x*m + z*m**2 + h and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**2 - 13*n - 68*n**2 + 67*n - 3*n**2 wrt n?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279*m - 2192 = 731*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8272780 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6064, -5852, -5640, -5428?\n\"Answer: 212*j - 6276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 515 or 514?\nAnswer: 514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 37 - (-9)\/(7 - 4). Suppose -10*s + x = -5*s. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2368 + -2287. What is the remainder when 92 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*a + 1737, -5*t - 2*a = 2*a - 1709. List the prime factors of t.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 2*t - 4. Let d(u) = u**2 + 3*u - 8. Let o be d(-4). Let y be k(o). Solve 12 = -4*r + 2*v, 4 = 2*r - y*v - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 407 - 1627\/4. Let -3\/4*h**4 + 0 + h**3 - 1\/2*h + w*h**2 = 0. What is h?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450637063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. Let v(d) = 992*d. Calculate k(v(u)).\nAnswer: -1984*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.3, -0.146?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -24, 34, 7 in decreasing order.\nAnswer: 34, 7, -16, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218855 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 44) + (-15 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307058860.\nAnswer: 2, 5, 59, 1107677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 196.8 + -13.8. Let b = p - 184. Does b = -19\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14293255.\nAnswer: 5, 2858651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4839 and -28?\nAnswer: 4811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 59 - 179 = 0. What is the highest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55\/4 of a minute?\nAnswer: 825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14355107 divided by -1104239.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63633?\nAnswer: 3, 21211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 n, and 1 a when four letters picked without replacement from {s: 5, n: 2, a: 1, y: 5, p: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 2*a**2 - a - 2. Let c be -2 - 1 - (-1 - 0). Let h be m(c). Let o be -1 + ((-5)\/(-6) - 0). Is h not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -74*h - 14. Let l(r) = 4*r + 1. Determine l(t) - x(t).\nAnswer: 78*t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*t + 90, 0*t = s - 3*t - 18. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5 - 9. Let p(j) = -2*j - 7. Let l be p(w). Suppose l*i = 2*i + 30. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/64 and 23\/394768.\nAnswer: 1579072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*w - 6, -3*w = -3*v + 2*w - 15. Suppose -4*u = -2*x + 18, 2*u + 2*x - 6 = -v*x. Is u != -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(153)*-3)\/sqrt(9))**2 + 5 + (-1 + sqrt(17))**2*-4.\nAnswer: 8*sqrt(17) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 14*l + 56. Give d(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.37 + 3.74. Let v = 15.23 + -14.9. Let k = i + v. Is k at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*f = 38, 0 = 5*t - 4*f - 6 - 48. Solve 22 = 16*m - t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1337, -2675, -4013, -5351, -6689, -8027?\nAnswer: -9365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 592 (base 11) to base 4\nAnswer: 23002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from {b: 1, l: 1, j: 6, t: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -664, -1328, -1992?\nAnswer: -2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1 (c) -35410 (d) 0.1 (e) 0.4 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2188 (base 10) to base 6.\nAnswer: -14044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 1:51 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 968631, 1937261, 2905891, 3874521?\nAnswer: 4843151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1201788 divided by 3514\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from bhssshsbhhhs?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -9 + 19 - 4 - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (1\/(-3))\/((-31)\/372). Suppose -3*i = -r*i + 600. What is the greatest common divisor of i and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 80 = 5*f - 1407, -3*w + 280 - 73 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 1575093.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*(-26)\/130 + 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - j + 4. Suppose 2*o = 5*u + 12, 0*o + 4*o = u - 12. Which is the nearest to -1? (a) j (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.22, -5, -1\/12?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(2\/9)*p))\/(p**(-3\/10)\/p)*(p*p**(-1\/2)*p)**(-4\/15) assuming p is positive.\nAnswer: p**(-29\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + -35. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36760, -73523, -110302, -147091, -183884, -220675, -257458?\n\"Answer: r**3 - 14*r**2 - 36728*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 4. Let i be h(-6). Suppose 4*p = z - 36, z - 5*p - 35 - i = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-288))\/((8\/9)\/8)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*v = 34, 0*v + 19 = 3*l + 4*v - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 99 - 49 - 50.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9217641929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*w**3 - 120*w**3 - 5 + 5.\nAnswer: -251*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10\/15)\/((-2)\/(6\/13))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2 - 50 = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53101499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109734 by 309.\nAnswer: 36578\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5023211, 10046424, 15069637, 20092850?\nAnswer: 25116063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/17, -1\/4, 4 in descending order.\nAnswer: 4, 4\/17, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 155*p**2 - 5. Let u(d) = d**3 - 77*d**2 - 2. Calculate -2*t(m) + 5*u(m).\nAnswer: m**3 - 75*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(120) + sqrt(120))\/sqrt(2))\/sqrt(12).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*d + 888. Let u = 11 - 25. Let j = u + d. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -209787\/827 or -253?\nAnswer: -209787\/827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1805.\nAnswer: -541.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*6)**2 + (sqrt(5) + 4*sqrt(5)*-2)*6.\nAnswer: -42*sqrt(5) + 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -3 (b) -2\/75 (c) 647\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 17 = -5*h - 11, 5*h + 10 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -0.5, -16\/3 in descending order.\nAnswer: 3, -0.5, -2, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-140) + (-1961)\/(-14). Let m = 153 - s. What is the closest to -1 in m, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - a + 2. Let v(l) = 10*l**2 + 3*l - 7. Let r(n) = -2*v(n) - 7*y(n). What is r(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-117)\/26)\/9 + (-664174)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 8, 5*l + 2*f - 185 - 3677 = 0. What is the greatest common divisor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 - 78. Suppose 2*u - n = 1. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 14 = -5*l, 2*l + 3*l = 20. Let r be ((-12)\/(-18))\/(a\/3). Let k = 9 + r. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 12\/2737, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x + 104 = 5*k, 4*k - x = 84. Suppose 0*w = 4*w + k, -3*w = -4*m + 91. Let r = m - 2. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506267 (base 9) in base 6?\nAnswer: 104333141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13404 + -23330131?\nAnswer: -23344040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/17, -0.283, 2 in decreasing order.\nAnswer: 2, -2\/17, -0.283, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)*u*u\/(u*u**2\/u*u)*u**(-1\/2)*u**(-1) assuming u is positive.\nAnswer: u**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26874\/2736)\/(1\/3). Let q = n + -472\/19. Is 4 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brmmrssmsrmswbbw. Give prob of picking 1 b and 1 r.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -120021220210101 (base 3) in base 12?\nAnswer: -287b491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4465024256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 230172615.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(72)\/sqrt(6) - sqrt(12) - sqrt(12)))**2 - (sqrt(63)*-3)\/sqrt(9) - (-3*(sqrt(7) + 1) + 4 + 2).\nAnswer: 4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.32, -8\/7, 3, 4?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from weezzjjjw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -14*n - 1. What is the tens digit of f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 417, 953, 1697, 2643, 3785, 5117, 6633?\nAnswer: 8327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38708175349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 3*i**5\/35 - 27*i**4\/14 + 33*i**3\/7 - 24*i**2\/7 - 991. Suppose u(r) = 0. Calculate r.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-10)*45\/(-81)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.8482 + 0.0518. Let r = 20 - v. Let x = 2.5 + r. What is the smallest value in -0.5, x, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 7, -161, -1, 10, 5 in increasing order.\nAnswer: -161, -1, -0.5, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4288 - -53953295.026?\nAnswer: 53957583.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -3*(-33 + -3 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*l - 1 - 21, 3*o = -2*l + 1. Let r be 54\/24 - 1\/4. Let n(c) = 4*c + l + 0*c**r - 3*c**2 - c**3 + 0*c**3. Calculate n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 + 246. Which is the second smallest value? (a) 32 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d. Let l(i) = -i. Let z(k) = 30*l(k) - 5*m(k). Let v(h) = -4*h**2. Let j(o) = -3*o**2. Let s(x) = 3*j(x) - 2*v(x). Determine s(z(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/7 + 13*k**4\/7 + 15*k**3 + 171*k**2\/7 = 0 for k.\nAnswer: -3, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**2)\/(((t**(-3)*t)\/t)\/t*t*t)*(t\/t**(-2\/5))\/t**(-1\/3)*((t\/(t*t*(((t**5*t)\/t)\/t)\/t*t*t))\/(((t**5*t)\/t)\/t))**(-14) assuming t is positive.\nAnswer: t**(2201\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*o*q + 2131*k**3*q*u**2 + 6*k**3*q*u - 2*k**3 - 6*k**2*o*q*u + k*o*q*u**2 + k*o*u**2 - o*u wrt u.\nAnswer: 4262*k**3*q + 2*k*o*q + 2*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (2 - -1) - (177 + -178)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 47399 = 4*g - 46927, 3*g + 118 = y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**3 - h**4 + 2*h + 1 + 6*h**2 - 6*h**2 in the form u*h**3 + k*h**2 + r*h**4 + f*h + s and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {z: 1, i: 3, a: 3, n: 6}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -986 + 989. Solve 0 = 8*r + g + 29 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**26*q)*q*q\/(q\/(q*(((q*q**(3\/4))\/q*q)\/q)\/q))*q\/(q*q**27\/q*q)*q\/(q\/(q\/(q\/((q**(-34)\/q)\/q)))) assuming q is positive.\nAnswer: q**(-349\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 139375*c**3 + 325*c**2 + 325*c - 4550. Let z(a) = -2581*a**3 - 6*a**2 - 6*a + 84. Give -6*x(o) - 325*z(o).\nAnswer: 2575*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*p + 321*p - 39*p - 8 + 76*p.\nAnswer: 462*p - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28 and 10619.50087?\nAnswer: 10647.50087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(150\/(-75))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 10*c + c**4 - 13*c**4 + 3*c**3 + 7*c**4 + 2*c**3 in the form s*c**2 + h*c**4 + w*c**3 + t*c + f and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + 2*j**2 - 3*j**2 + (0 - 2 + 3)*(-4*j**2 + 5*j**2 - 4*j**2).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/(-10) - (-6)\/15. Let u be 9\/(-4) + (-1)\/g. Suppose 18*a - 15*a + 9 = -5*i, 3*a - 3 = -i. Is i != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 227689\/24 - 9492. Calculate the common denominator of 107\/648 and p.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 + c**2)*(4 - 5 - 1)*(2*c**2 - 5*c**2 + c**2) - 5*c**4 + 4*c**4 - c**4.\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5792\/9? (a) 0.2 (b) -0.3 (c) -2\/5 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 divided by -1?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*w)*(0*w + 2*w - w) + 33*w**2 - 19*w**2 - 19*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -8. Suppose 3*p + 4*x - l - 9 = 0, -p = 3*x - 3. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 7}. What is prob of sequence uuuu?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -66, -2658, 4 in decreasing order.\nAnswer: 4, 2, -3, -66, -2658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3 - w**3 - 5*w**2 + 0 + 7*w + 13 - 7. Determine y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-18\/11)*f*f\/f**(-11)*f*f\/(f*f\/(f*f**7)*f*f)*f*f**(-34) assuming f is positive.\nAnswer: f**(-172\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfwwazmzfwwwmwwwtw. Give prob of picking 1 z and 1 a.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose o*y - 4*y = 0. Suppose 0*g + 5*g = 0. Solve y = -i + v, g = 5*i - i - v + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4, -7\/9, 879?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v + 43. Let l be w(-7). Let o(b) = -4*b**2 + 3*b + 5. Let z(j) = 9*j**2 - 7*j - 11. Let d be ((-4)\/(-12))\/(3\/(-117)). Calculate d*o(f) + l*z(f).\nAnswer: -2*f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 7*f**2 - 6*f + 8. Let q be x(-8). Let g be ((-7)\/(-4) + -2)*q. Suppose -w - 65 = -g*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**3 + k**2 + 2*k + 1. Let j(a) = -a - 8. Let l be j(-7). Let w be o(l). Suppose 0 = 5*g - w*g. Solve 2*h = -g + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2264652.\nAnswer: 1\/2264652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 502.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 955 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2090 + 12014. Calculate the remainder when i is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 14. Let o be v(-8). Suppose 0 = o*c - 9 + 5. Determine f so that 24 - 286*f**3 - 354*f**3 + 714*f**c - 228*f - 95*f**3 = 0.\nAnswer: 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63.61 + 0.61. Let d = p - -62.9. Let t = -1 - -6. Sort d, t, -2\/3 in descending order.\nAnswer: t, d, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12395 and 9?\nAnswer: 111555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwc when three letters picked without replacement from {c: 2, w: 1, n: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2498*0.4.\nAnswer: -999.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859965 to the power of 1\/2, to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(95) - 1*sqrt(95))\/sqrt(5) - (sqrt(19) + 0 + sqrt(19) + -4))**2.\nAnswer: -16*sqrt(19) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44007 is divided by 4769.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -866 - -866.2. Let y = -1.8 + 1.5. Which is the closest to r? (a) -4 (b) -6 (c) -2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 16*g - 45 = 0. Suppose -q + 137 = 2*u, -g*u + 205 = 4*q + 2. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77161 - -67?\nAnswer: -770b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1513, -1521, -1533, -1549?\n\"Answer: -2*c**2 - 2*c - 1509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 5*a**3\/6 + 3*a**2 - 10*a. What is the units digit of i(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c074 + -d?\nAnswer: -5c081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 18. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 9*q + 6. Let v(k) be the first derivative of 4\/3*k**3 + 37\/2*k**2 + 23*k - 4. Let z(y) = 9*u(y) - 2*v(y). What is z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17190 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -298 + 303. Let t(j) be the first derivative of 0*j**4 + 0*j**p + 0*j**3 + 2 + 0*j**2 + 0*j - 1\/30*j**6. Factor t(k).\nAnswer: -k**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1136*-13022.\nAnswer: -1479.2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 + 47*v**2 - 22*v - 49. What is t(23)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one quarters of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 0)\/2 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06817 - 28.05817. What is p rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 961 divided by -961\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 692917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 380. Suppose -2*d + 2 = -g. Suppose 0 = 3*l - 105 - d. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 16*p + 4*p + 2 - 20*p to the form c*p + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62628.\nAnswer: 2, 3, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9 - 2 - 2 - 7*j. Let n(a) = -a + 1. Let y(t) = -m(t) + 6*n(t). Let b be y(6). Calculate the greatest common divisor of b and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from eeeegyyyieeeeeeg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.56 in -2\/3, -43, -2\/17, 4\/7, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7308 is divided by 215?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 7:02 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*r - 1099 = 3128 + 3933 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -w + 4*f + 9, 4*f + 11 = -w. Solve h + 4*i = 7, -i + 0 = -w*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*k**2 + 14*k**2 + 18 - 8*k**3 + 15*k**2 wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -207.9 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230350, -230364, -230376, -230386, -230394?\nAnswer: -230400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -1\/8*x**4 - 1\/4*x**2 + 0 + 0*x + 3\/8*x**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and -58.69?\nAnswer: -10.5642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 126. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3445459 nanometers in centimeters?\nAnswer: 0.00000003445459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, 4\/85955 in increasing order.\nAnswer: -18, -4, 4\/85955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25670, -21329, -16990, -12653, -8318?\n\"Answer: -d**2 + 4344*d - 30013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (9\/6 - 1\/2). Determine o so that -8*o**3 + 10*o + r*o**4 + 0*o - 2*o - 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143034 by 3.\nAnswer: -47678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -24*k**3 + 2*k**2 - k + 8. Let r(f) = 8*f**3 - f**2 - 3. Let s(z) = 3*g(z) + 8*r(z). Let v be s(-3). Suppose -j + v = -44. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*k - 20 - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 3 - 2 - -4) + -2 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxh when three letters picked without replacement from {x: 1, h: 1, v: 2, d: 10}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 0, -2*c = -7*c - l + 238. Let s = c + -44. What is the closest to 0.1 in s, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 650 and 1040?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 - 5*w**2 + 3*w - 4. Let d be (-4)\/22 + 24\/11. Let q(l) = -l + d*l**2 + 2 + 2*l**3 - l**3 + 0*l**2. What is 2*i(a) + 5*q(a)?\nAnswer: -a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34367*p + 1 + 17407*p + 17221*p.\nAnswer: 261*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1290 and 32145?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728*x + 2410 - 15896 = -498*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -44*i + 21*i + i**2 + 23*i. Let p(z) be the second derivative of z**5\/60 + z**3\/3 + z. Let s(v) be the second derivative of p(v). Give s(t(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.302812886 to five dps.\nAnswer: -0.30281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 323973 divided by 107991\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 969, 1917, 2867, 3819, 4773, 5729, 6687?\nAnswer: 7647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7298938 millennia to months.\nAnswer: 8758.7256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*y = i + 20, -4*i - y = -4. What are the prime factors of (i + -34)*2*6\/(-8)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-18) - 13107168019745\/(-45). Let b = a - 38970231957190307\/133794. Let l = b - 3\/7433. Find the common denominator of -151\/42 and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - l - 4. Calculate the smallest common multiple of y(-4) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2652 - 1344. Suppose -3*b + x + 1089 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/8)\/((-1)\/(-2)). Let h(m) = -5*m + 8*m - 8*m + 26*m**2 + 4. Is h(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -22*q - 1. Let i be b(-3). Suppose -4*j = 5*y + 488, -y + 2*j - 41 = i. Let r = 165 + y. Calculate the remainder when r is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 + 5*p**2 + p + 4. Let z(d) = -3*d**3 + 6*d**2 + 2*d + 5. What is 4*g(w) - 3*z(w)?\nAnswer: -3*w**3 + 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -18702.\nAnswer: -18697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438212299 a multiple of 2349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 + 64*y + 69. What is the remainder when 1378 is divided by m(16)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11719955809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1416534 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(19) - (sqrt(19) + 0)*5)*2.\nAnswer: -8*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41143 - -32314?\nAnswer: -3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-33)\/(6\/2). Let b = c + -5. Suppose 4*x = -3*f + 223, -3*x - 4*f - 136 = -b*x. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a - 4*a**2 - 3*a**2 + 3*a - 8*a + 3*a**4 + 2*a**3 - 1 in the form m*a**4 + o + q*a**3 + d*a + h*a**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -37. Let s be (-17)\/((-4)\/f - 0). Suppose 3*h = -2*a + 47 + 41, a = -4*h + s. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 9*f - 73, -f - 33 = -616*g + 620*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 228916 and 173?\nAnswer: 39602468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 3*l**2 - 4*l + 7. Suppose 4*u + 5*f - 12 = 6*f, -2*f = 5*u - 28. What is the smallest common multiple of b(u) and (-896)\/(-88) - 4\/22?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.27 and 1946.\nAnswer: -525.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1574 = 24*h + 1142. Calculate the remainder when 26 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 71*v - 73*v + 4, 0 = 2*p - 5*v - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -682, -1543, -2726, -4237, -6082, -8267, -10798?\nAnswer: -13681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -5*o**7\/21 + 5*o**4\/3 - 2*o**3\/3 - 365*o**2\/2 - 474*o. What is the second derivative of p(h) wrt h?\nAnswer: -200*h**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a**2 + 27*a**2 - 151*a - 26*a.\nAnswer: a**2 - 177*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93762*b**2 - 24004*b?\nAnswer: 187524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1055061, 4219961, 9494793, 16879557?\nAnswer: 26374253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -0.018 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -189 + 197. Determine z, given that -8*z - r*z**2 + 4*z**4 - 5*z**3 - 2*z**5 + 16*z**3 - z**3 - 4*z**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 5416. Let v(o) = 8*o. Determine t(v(d)).\nAnswer: 8*d - 5416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*c + 21, 0 = 3*c - v + 3*v - 15. Suppose -4*j + 5*g = -23, 4*g + 11 = -1. Find the second derivative of d + d**3 + c*d - j*d wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 18*g**2 + 2*g. Does 3 divide r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346 + 358. Solve 0*c = -4*c + g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 100790, 100789, 100788?\n\"Answer: -q + 100791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (6 - 3)\/(-3). Put 4, -3, -62, t in descending order.\nAnswer: 4, t, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1*7814 - (-621 + 595) and 14.\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302683033 divided by 7603?\nAnswer: 39811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - d**3 + 3*d + 0*d**2 - 6 + 1 - 5*d**2. Let j be i(-5). Suppose -21 + 11 = -j*a. What is the highest common factor of 20 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6922812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -58*v**3 - 5*v**2 - 6*v - 2. Determine c(-1).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44833, -45033, -45231, -45427, -45621?\n\"Answer: l**2 - 203*l - 44631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1738 and -5?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2, 225, -688?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 9*r**2 - 9*r + 24. Let w be h(-10). Let x(d) = 2*d - 35 + 5*d - 3*d + 3*d. What is the tens digit of x(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*l + 123881 = 595463. Calculate the greatest common divisor of 82 and l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 6*a**2 - 2*a - 5. Suppose -41 = 5*p - 131. Calculate the remainder when w(-5) is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 0) + (42 - 45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 5, 0, 13, 6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -273997\/36 - -7611. Put -1\/3, h, 1\/2 in increasing order.\nAnswer: -1\/3, h, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2 - 4. Let t = x - -9. What are the prime factors of (-28)\/(-3) - t\/(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**3 - 21\/20*t**5 + 0*t**2 + 34*t + 19\/12*t**4 + 0 - 2\/15*t**6. Factor r(n).\nAnswer: -n*(n - 1)*(n + 6)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**4 + 1278*a**3 - 5*a**2 - 2*a + 12991 wrt a?\nAnswer: 12*a**2 + 7668*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 = l, 4*f + 9 + 3 = -4*l. Suppose 4*x = 4*v + x - 3, -4*v - 2*x + 18 = f. Suppose 0*g = v*g - 45. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 961, 1262, 1563?\n\"Answer: 301*l + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 821.48?\nAnswer: -5750.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 319*n = -312*n + 122, 8 + 18 = -3*v - 2*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 213\/4*q + 54 - 3\/4*q**2 = 0.\nAnswer: -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4385 + -4385. Suppose 0 + 0*l - 2\/5*l**3 + p*l**2 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46\/17, -2, -3\/5 in increasing order.\nAnswer: -2, -3\/5, 46\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8521 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/36*(-81)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35786 and 8.\nAnswer: 143144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 5*v - q, 4*q = 146*v - 144*v - 180. Solve -2 = -u - 4*g, 5*g + 84 - v = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 64*z + 28 + 62*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 - 98. Solve -n = -1 + x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26490 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 7:51 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1833465168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2\/9 - 1026272*n\/9 + 48208276\/3 = 0. What is n?\nAnswer: 141, 256427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 572239, 572240, 572243, 572248, 572255, 572264, 572275?\nAnswer: 572288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2155*a*s**2 + 4*a*s - a + 16*s**2 - 2*s - 90 wrt s.\nAnswer: -4310*a + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 3*r - 3. Let s be u(-1). Suppose -k + 3 - s = 0. Let f = 134 - 131. Solve 2*n + k*g + 6 = -2*n, 9 = f*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 13*x + 28. Let n = 28 - 40. Let s be j(n). Calculate the greatest common divisor of 40 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(200)) - ((3 + sqrt(200))*1 + sqrt(200) + sqrt(200) + sqrt(200)))**2.\nAnswer: -120*sqrt(2) + 7201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -b100 (base 13) to base 9\nAnswer: -36340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -47*n**2 - 4814*n + 159. Determine a(-102).\nAnswer: 2199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {j: 7, z: 2, o: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5726, 5713, 5700, 5687, 5674?\n\"Answer: -13*m + 5739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9229 - -1351. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 21542 = -17224. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*g - 65 = 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128670, -128712, -128778, -128868, -128982, -129120, -129282?\nAnswer: -129468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7939.\nAnswer: 5\/7939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/3 - 1\/(-3). Suppose -2*o + 5 + 27 = 0. Let f = m + o. Calculate the greatest common factor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39348733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d**(-2\/3))\/d)\/d)\/d)**(-10\/9)\/((d*d*d*d\/d**(-2\/17)*d)\/(d\/(d*d**(-3)))))**5 assuming d is positive.\nAnswer: d**(1940\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2. Let b be t(-2). Suppose -s = -5*s + 20. Suppose 14 = s*v - d - d, 0 = 3*v - b*d. What is the highest common factor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2442, -4247, -5416, -5949, -5846, -5107, -3732?\n\"Answer: 318*a**2 - 2759*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91135 = z + 360*p - 355*p, 2*z + 3*p = 182221. Round z to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 180012413?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -14, -2478\/13, 2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/(-1782) + (-4)\/(-66).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 87, -9, -121, -249, -393, -553, -729?\n\"Answer: -8*c**2 - 72*c + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 3) to base 13\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3276*g + g**2 - 1951*g - 2288*g)*(0*g + g - 3*g).\nAnswer: -2*g**3 + 1926*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5\/2 + 3601*b**4 - 442122*b**3 - 1347977*b**2 - 2710363*b\/2 - 452928 = 0.\nAnswer: -1, 128, 7077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -41, -6, -2, -4, 102 in increasing order.\nAnswer: -41, -6, -4, -2, 3, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11) - (-28)\/154?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41f (base 16) to base 12.\nAnswer: -73b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504866228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 1774*x**3\/3 - x**2 + 847. Let d(m) = 2*m. What is z(d(g))?\nAnswer: 7096*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:03 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49937\/70 - 5077\/7. What is the common denominator of a and 91\/30272?\nAnswer: 151360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2631*185\nAnswer: -486735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 3)\/((-1)\/56). Let k = 373 + n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/((-12960)\/(-144))*28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1728849 by -576283.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.197200953 - -0.1972. What is s rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1978\/5160 - (-2)\/(-15). Let s(n) be the first derivative of -5\/2*n**2 + 3*n + 2 - 7\/3*n**3 - v*n**4. What is s(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/10*7820\/(-69). Let b = -134 + r. Solve -j + 2 = -b*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, e: 1, r: 3}. What is prob of picking 2 h?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060374 divided by -59?\nAnswer: 1060374\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 - (-6 - (-1 - 11) - 13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Let u(l) = 4*l**s + 1 - 1 - l**2. Let v(b) = 2*b. What is u(v(n))?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 20.\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 15584130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/1421743 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-507 + 201 - 263)*(-3 + 2*v + 3) as p*v + k and give p.\nAnswer: -1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 5438*k**2 - 3183*k**2 - 2253*k**2 - 3*k + 4*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46399 is divided by 42\/(-49)*(-49000)\/210?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3329331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3. Suppose 6*x - 4 = 8*x. Let v be (-4)\/(-24)*3\/x. Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let b be g(1). Suppose k + 77*p = 73*p - 49, -5*p + 5 = 0. Let r = b - k. Calculate the greatest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 7*k**2 - 7*k - 3. Let r be c(-6). Solve r*j = 4*q + 20, -4 + 14 = -2*q + 3*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let o = -1\/11 + -6\/55. Let i be (-2)\/10 + (-3)\/(-5). Which is the closest to z? (a) o (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5031 * -12.\nAnswer: -60372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 8:41 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 - 4*x**2 - 2*x + 2. Let g(w) = 4*w**3 + 5*w**2 + 3*w - 2. Let s(h) = 3*a(h) + 2*g(h). Let p be (4 - 1 - 0)\/(-1). Calculate s(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w + 23. Calculate the highest common divisor of w and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11675 is divided by 2334.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2607.5 plus 0.18?\nAnswer: 2607.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2107 + -4c?\nAnswer: 20aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2059.\nAnswer: 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3154057 rounded to one dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237.418211 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w + 280. Let x = -9 - -4. Let j be x\/(-15)*(23 + 1). What is the highest common divisor of w and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -551 + 2*m - m + 565 - 3*m - m + 2*m + (4 - 2 + 0)*(2*m + m - m) + 3 - 3 + 2*m - 2 + 2 + 2*m + 1 - 1 + m + 1 - 4 + 5 - 86*m to q + n*m and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 8*d**2 - 10*d - 7. Let k be i(9). Let o be ((-9)\/(-6))\/((-6)\/k). Let h(r) = r**2 - 4*r - 5. Let l be h(5). Solve o*a - 4 + 12 = l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {s: 1, z: 1, t: 3, x: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234 + -237. Which is the third biggest value? (a) 4 (b) z (c) -83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187797.\nAnswer: 3, 59, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37877 is divided by 12616.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 11:44 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -237.048687 - 8.9?\nAnswer: -245.948687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 767c9 - 691?\nAnswer: 76138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*s + 2, -434 + 440 = 2*s + 2*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Suppose 6*z - 70 - 2 = 0. Let o be (z\/(-39))\/(-10 + 20). Is o at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -41, 4, -1\/5, -3\/7 in increasing order.\nAnswer: -41, -3\/7, -1\/5, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -1. Suppose 2*x - 6 = -x. Let y(j) = -3*j + 3 - j**x + j + 5*j. Let l(p) = 3*p**2 - 8*p - 8. Give k*l(d) - 8*y(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*k - 4131 = -66*k. Let j be 2\/(1 - 0) + -2. Suppose 2*w - 2 = 0, k = -j*x + 2*x - 5*w. Calculate the remainder when x is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + u. Let i be w(-1). Let c(r) = -5*r - 14. Suppose 0 = 7*y - 6*y + 4. Let h be c(y). Solve i = 2*p - 0*p + h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.919 - 1.081. What is the nearest to 1 in 0.4, 2, v, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -20 + 3 - -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.081, -0.06 in ascending order.\nAnswer: -0.06, 0.081, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(1\/2))\/(w*w**(-2\/25)))\/(w*w\/(w*((w*w**(2\/15))\/w*w)\/w*w*w)*w**(1\/3)) assuming w is positive.\nAnswer: w**(119\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o**3 + 4*o + 4. Let k(t) = 2*t**3 + t + 1. Determine 3*j(c) - 12*k(c).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.178, 3, -4, -0.2, -0.15, -84?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24446433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 253, 460, 625, 748?\n\"Answer: -21*x**2 + 270*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Suppose t*i + i + 3 = 0. Let v(d) be the second derivative of -2*d**3\/3 + d**2\/2 + 5*d. Give v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5273, 10348, 15201, 19832, 24241?\n\"Answer: -111*i**2 + 5408*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -753*s**3 + 7*s + 399*s**3 - 1091*s**3 - 259*s**3 in the form o + f*s**2 + b*s + g*s**3 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + q - 3. Let k(s) = 4*s**2 + 2*s - 6. Let i(g) = -2*k(g) + 5*l(g). Determine i(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -925, -4504, -10471, -18832, -29593, -42760, -58339?\n\"Answer: -j**3 - 1188*j**2 - 8*j + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14 - 136\/(-12))*-459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 10. Let r be m(-11). Let d(s) be the second derivative of 0*s**3 - 3*s + 1\/12*s**4 - 1\/2*s**2 + 0 - 3\/5*s**5. What is d(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.419532 times 1\nAnswer: -1.419532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 8. Calculate m(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149452979.\nAnswer: 13, 29, 396427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 4*t**2. Suppose 5*f + 21 = 1. Let p be n(f). Find the second derivative of -4*u**5 - u + p*u**5 + 2*u**5 wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 1. What is s(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-72)\/4)\/6 + 998.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4 + 790*n**3 + 10935*n**2 + 30780*n = 0 for n.\nAnswer: -9, -4, 0, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -7 - (-5 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ec3 - 248?\nAnswer: -321b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/900 and -41\/450.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159315\/94754 + -2\/4307. Calculate the common denominator of b and 4\/(-18)*(-145)\/4.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 282*a - 2648. What is n(9)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (-279 - -266 - (0 + -5))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 + 5 - (3 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atauddtttmu. Give prob of picking 2 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 182578 < 182452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:49 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmpmmpmrprmmpr. What is prob of picking 2 p and 1 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(1 + sqrt(8)) + ((3*2*sqrt(8))**2 - sqrt(8)) + (-2*sqrt(8) + 2)*-3.\nAnswer: 2*sqrt(2) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(448) + 3)*6.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from awkwwbkwbwwkkw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Suppose -2*a = -7*a + 15. Let x(r) = a*r + 0*r - 7*r + 3*r. Give x(z(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 44 = 5*f. Do 1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2912 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 109021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 10857\/2309 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*c - 1503 = 641, 2*c = 8. Let i = -90 - r. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 49. Let r be (2*-2934)\/y*-1. Let v = 847 + r. Round v to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/6 - 7*w**3\/2 = 0.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12111 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 0. Let x(r) = -r**2 - 11*r + 14. Let y be x(g). Suppose 0 = -5*s + 3*s + 4, -s = y*q - 6. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 10. Let l = -5 - 2. What are the prime factors of h(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2940)\/1225)\/(364\/350).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -572.999165 + 573. What is f rounded to 5 decimal places?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 6 = -3*a. Let x(s) = -4*s**3 - 8*s**2 - 2*s - 1. Let d be x(-2). Solve a*j = d*r + 6, j + 4*r = -0 + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -234*d**2*m - 2914*d**2*y**3 + 16*d**2 - 210*d*m*y**3 wrt m.\nAnswer: -234*d**2 - 210*d*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 46 = -3*b, -6*b - 3*v = -9*b + 42. Let g be 1 + 2 + -32 + (-6)\/3. Let i = g + 33. What is the least common multiple of i and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.5 + 7. Sort 14, -0.1, o.\nAnswer: -0.1, o, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 8\/3*x**3 - 1\/4*x**4 - 14*x + 10 + 8*x**2. What are the prime factors of w(7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkhvkikehhr. What is prob of sequence vkri?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 3*y - 6. Let l be a(5). List the prime factors of 1\/(1 + l\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 11 + 11 + (4 - 3 + 0)*(0 + 0 + q**3) + 6*q**3 - 2*q**3 - 2*q**3)*(0*q - q - q).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 73, 221, 501, 955, 1625?\nAnswer: 2553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 8*r + 10. Let n = 5384 - 5382. What is g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let w(q) be the third derivative of -3\/2*q**3 + 1\/12*q**6 + 2*q**2 + 0*q + 0*q**4 + 0 + 0*q**5. Differentiate w(r) wrt r.\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8055*c. Let p(b) = -b - 16. Determine p(n(o)).\nAnswer: -8055*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 + 39*t**2 + 2 + 4.\nAnswer: 4*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15051835\/39538224 + -2\/224649. Find the common denominator of 47\/48 and v.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5504367 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: Calculate the greatest common divisor of 3122 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = -0. Let p be 8\/(-2) - ((-12)\/3 - -1). Let h be (-3)\/(3 + 0\/p - -22). Is n less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1560896*k**4 + 67239632*k**3 + 5210604*k**2 + 134703*k + 1161.\nAnswer: (k + 43)*(116*k + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5439804*d**6 - 12*d**4 + 896*d**2 - 161883.\nAnswer: -652776480*d**3 - 288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 9*u - 5. Let g be t(8). Let a(y) = y + 2. Let n be a(g). Find the second derivative of 4*h - 6*h - 6*h**5 + h + h**n wrt h.\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4\/8 - 3822855*q**3\/4 - 15291411*q**2\/8 - 955713*q = 0 for q.\nAnswer: -2548568, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 10, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-15))\/d**(-7)*d\/(d**3\/d*d)*d*d\/d**(-13) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymmwytytdvdy. What is prob of sequence yytt?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 u when three letters picked without replacement from {u: 7, x: 12}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 12, 24, 40, 60?\n\"Answer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 251226685\/6 = 41871115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1679274ml?\nAnswer: 0.0001679274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)\/w*w**(-1)*w*(w\/(w*w\/(w\/w**(-1)))*w)**(-2\/5) assuming w is positive.\nAnswer: w**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 6:37 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1) + 2 + 0. Let c = 42 + -22. Is 5 a factor of 1 + (c\/u - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/495*(-121)\/319.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -723, 1\/2, -0.06, 5, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*o**3 + 28*o**2 + 26*o**2 - 53*o**2 + (-8*o**3 + 16*o**3 - 28*o**3)*(-3 + 3 + 2) + 2*o**3 - o**3 + 0*o**3 to r*o + s + d*o**3 + q*o**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413148754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.69 - 3.59. Let p = 3 + h. Suppose 21*g = 16*g + 4*a - 44, 22 = -3*g - 2*a. Is p >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*c - 38*c - 13*c + (3 - 3 - 1)*(-2 + 2 - c) to j*c + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o + 20 = -4*y, o = 3*y + 9. Let w(u) be the third derivative of -u**6\/120 - u**4\/12 - u**3\/2 - 2*u**2. What is the units digit of w(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(0 + sqrt(13)*-3 + 4).\nAnswer: -48*sqrt(13) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 13, -0.104 in decreasing order.\nAnswer: 13, 0.11, -0.104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 9*f - 57 = -1857. Which is smaller: 52 or f?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*q - 55, -4*f - 5*q + 10*q = 272. Let d = f - -75. Calculate the highest common factor of 48 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 1:55 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 231890731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -380 - -5?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.2. Which is the second biggest value? (a) x (b) 3 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-7)\/(21\/(-36)). Let v = -8 + n. Suppose -2*k + 0*k - v*j + 35 = 0, -4*k + 4*j + 20 = 0. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.2 * -0.157072\nAnswer: 5.0577184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086373396.\nAnswer: 2, 271593349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130434.4 micrograms in milligrams?\nAnswer: 130.4344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33698 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Suppose -3*g = s*g. Calculate the remainder when 80 is divided by 25 + (4 - (g - -2)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3603509.\nAnswer: 7, 13, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(s + 4*s - 3*s) + (s + 0*s - 3*s)*(0 - 1 + 6).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058978961 rounded to four decimal places?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (9 - 3) - -20 - (3 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + t**2 - 38 - 9*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayyyaaa. What is prob of picking 3 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/555, 5, -0.3, -1, 8.1 in descending order.\nAnswer: 8.1, 5, 1\/555, -0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3215207808 to the power of 1\/2, to the nearest integer?\nAnswer: 56703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 30 - 491*g + 0 + 490*g as r*g + i and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20260 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 6:01 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665.2167 decades to centuries.\nAnswer: 66.52167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**4 - 160*v**3 + 2250*v**2 + 12960*v - 149445 = 0?\nAnswer: -41, -9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (-72)\/(-16) - (-822)\/4. Let q = w - 168. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g - 2*g)*(4 + 4 - 6) + 0*g + 3*g + 16*g + (1 - 3 + 0)*(-5*g + 0*g + 3*g).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) 21 (c) -14357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.744084m to centimeters.\nAnswer: 174.4084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k**2 + k - 3. Let i be b(3). Suppose -11*c + 16*c = i. Suppose -70 = -2*m - c. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8983 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*6\/(-357) - 415\/(-85). Suppose -2*c + 2 = 2*v, -b*c = -4*v - 82 + 41. Solve 0 = 4*g + 4*y + 12, c*g + y - 30 = 5*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1235 (base 9) to base 10.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*s + 2*g - 5*g, 4*s - 4*g = 40. Solve i + 5*k + 3 = 3*k, 4*k + s = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 10:42 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-18 - -5) - (-9 + 14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-2 - 50766\/(-16)). Let m = 3169 - i. What is the common denominator of 85\/6 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -61, -117, -193, -295, -429, -601?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b - 11. Let u(m) = 1. Let x(f) = -a(f) + 3*u(f). What are the prime factors of x(12)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - p + 2. Let z(n) = -26270*n - n**2 + 26270*n. Calculate m(k) + 2*z(k).\nAnswer: k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5115 + 4983.7. What is x rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3028547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10168, -23, 0?\nAnswer: -10168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g - 8. Give a(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*n + 7326 = -254*n - 157*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*b - 4, -b - 8 = 12*i - 13*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 725.808.\nAnswer: -725.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14154 and -2.86?\nAnswer: -40480.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 55, 152, 307, 538, 863, 1300?\nAnswer: 1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -22 + (-2 - -32).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 5\/1698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhhy when four letters picked without replacement from {n: 1, h: 2, b: 4, y: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17703.75334 + 17704. Round d to 3 dps.\nAnswer: 0.247","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*d**2*y**2 + d**2*y - 2*d**2 - 2*d - 115107*y**2 - 3*y - 12606 wrt y?\nAnswer: 192*d**2 - 230214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 41*y - 8364. Calculate b(49).\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8711586557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 770 + 754 = z, 4*z + 4 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-221)\/20 - -10) + (-1)\/5.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 3949*u + 35624. Let s be p(-9). Suppose 3*n - 3*w - 21 = 0, n + 6 = 2*w + 15. Sort -5, s, n, 0 in descending order.\nAnswer: n, s, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1015, -1029, -1057, -1105, -1179?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 903940627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 502175 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 214*z - 684. Is 106 a factor of x(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 63 + -33 + (-2 - 16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14*p + 14. List the prime factors of o(4).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1132256 and 273615?\nAnswer: 1405871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121114 divided by 60557.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011110 + -101110?\nAnswer: -11110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 5086.62278\nAnswer: 5080.62278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8144 = -24*a + 16*a. Suppose -a = 3*r - 1222. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 3*i)*(-4 - i + 4) - 5*i**2 + 3*i**2 - 3*i**2 + (5*i - 2*i - i)*(-2*i - 3*i + 3*i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d**2 - 2*d**2)*(2*d + 0 + 0) + 280 + 30*d**3 + 3*d + 2*d**2 - 536 + 255.\nAnswer: 26*d**3 + 2*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/4*99\/(-1485).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -2, 326 in descending order.\nAnswer: 326, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:55 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47644 is divided by 101.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wffffffffffffwffffwf. Give prob of picking 1 w and 1 f.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 + 3.5. Let k = 0.13 + -0.07. Which is the second biggest value? (a) 1\/7 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1193.6.\nAnswer: 596.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 454090.2483 to the nearest 1000.\nAnswer: 454000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 = 3*b, -2*l - b = -947. Suppose 3*y + 15535 = l. Round y to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l + l**4 + 0*l**2 - l**2 + 4*l**4 - 9*l**4 - l**3 in the form s*l**4 + h*l**2 + d*l + k + a*l**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 + -103. Let i be (p - 144)\/(85 - 84). Which is bigger: i or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*r**2 - 69*r - 2*r**3 + 36*r - 3*r**4 + 32*r in the form m*r + t*r**3 + g*r**4 + q*r**2 + a and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12138634.\nAnswer: 2, 61, 99497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.750021455 rounded to 4 dps?\nAnswer: -3.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 6*h**2 + 4*h - 1. Calculate the remainder when s(3) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/5 - -1*(-21)\/(-35)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (110\/(-495))\/((-2)\/72)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31*-2.9862\nAnswer: -92.5722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3330 = -134256*k + 134071*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -12. Let v(i) = i**2 - 6*i + 6. Let b be v(5). What is the tens digit of 10 + 0\/m + b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.002 - 0.198. Which is the second biggest value? (a) 4 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4)*(-474*p + 351*p + 298*p - p**2) as t + n*p + z*p**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:32 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 3, -7, 2 in descending order.\nAnswer: 3, 2, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 2*k - 14, -3*n = -8*n - 4*k - 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**2 - l + 1. Let m(t) = 6*t**2 - 1. Suppose 0 = 23*r - 248 - 557. Suppose -75*z + 68*z + r = 0. Give z*m(g) + 4*d(g).\nAnswer: 2*g**2 - 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 3*v**2\/2 - 7*v - 9. Calculate the remainder when 67 is divided by a(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*f + f + 94, 2*f - 68 = -4*k. Suppose -5*s + 48 = -f. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 320 + -319.53. Let v = h - 6.07. What is v rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1659\/9 - 2\/(-3). Let w be 35\/70 - 71\/2*5. Let o = w + 214. Calculate the greatest common factor of o and h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*g**2 + 0*g - 3*g + 63*g**2 + 63*g**2 + 56*g**2 + 236 as b*g**2 + t + j*g and give t.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p, 0 = -4*q - 0*p + 2*p + 728. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23 + -1 + 2)\/(0 - 1). Suppose -x + 16 = -2*x - 3*m, 3*x - 3*m + 24 = 0. What is the units digit of x*(l\/(-10))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393662359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 - -1.2. Let k = 12 - 11. Which is the third biggest value? (a) k (b) i (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19572533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/20 + 5*c**4\/12 + 2*c**3\/3 + c**2 - c. Let k be 68\/(-17) - (-3 + 2 + -1). Let f be z(k). Solve -o + f = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**2\/3 - 92*a + 4712\/3 = 0.\nAnswer: 31, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 4*t**3 - t**3)*(-5 + 5 - t) - 4 - 2*t**4 + t**4 - 7.\nAnswer: t**4 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 15977148?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from txxtxiixttxtxx?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 5 = -7. Suppose -3*c + 19 = d. Solve -c = 4*p - p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 84*g + 24. Let r be 38 - 36 - (-1 + 2 + 6). Let t(h) = -17*h - 5. Determine r*i(q) - 24*t(q).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-80)\/84)\/(2522\/325 + -8).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -191199*h**2 + 4*h - 5. Let p be c(-5). Round p to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -99*g**4\/2 + g**3\/3 - 573*g - 1374. Differentiate a(o) with respect to o.\nAnswer: -594*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by 38.\nAnswer: 108\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 9. Suppose 4*y - 40 = 5*s, p*y - 4*y + 4*s + 26 = 0. List the prime factors of 17 - 9\/(y - 2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -3\/43, 1 in ascending order.\nAnswer: -3\/43, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -509*g - 8941. Let u(m) = -29*m. Calculate l(u(c)).\nAnswer: 14761*c - 8941","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 65, 7, -3, -61.\nAnswer: -61, -3, 1, 7, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 3*f + 0*f + (-2 + 3 - 3)*(-62*f - 85 + 85) to the form a + b*f and give b.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 30*s**2 + 36*s + 108. Give c(-3).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54.526 and 18?\nAnswer: -981.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15916 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 244389027 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -5, 0.1, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 282.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -15*y + 12*y - 12, 4*y = -5*x - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 84683991 and 5?\nAnswer: 84683986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 15. Let j be d(11). Suppose j*w + 1 = -3. Is 1\/6 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.93 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55 - 6544?\nAnswer: -6621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(66)\/(sqrt(96) - sqrt(6)) + sqrt(11) + sqrt(11) + 6*-2*sqrt(176) + 0)**2.\nAnswer: -1096*sqrt(11)\/3 + 206603\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1551, -10172, -32931, -76896, -149135?\n\"Answer: -1178*p**3 - p**2 - 372*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 12*w + 27 = 0. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -44, 2, 2355 in decreasing order.\nAnswer: 2355, 2, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32336784 and 14628.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213240 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 125, -8 in descending order.\nAnswer: 125, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7345 - 4013. What are the prime factors of h?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7668 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/q*q)\/(q\/(q**(1\/15)*q)) assuming q is positive.\nAnswer: q**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -928, -1392, -1854, -2314, -2772?\nAnswer: -3228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 7719 + 2111. Suppose 0 = -6*x + 4931 - u. List the prime factors of x.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*b**3*z**3 + b**3*z + b**2 + 201*z**3 wrt b.\nAnswer: -588*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 1 - 1)*(-5 + 0 + 3) + (-i + i + i)*(0 + 5 + 4) + 2 - 1 + 38*i - 42*i in the form v*i + g and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15655442\/29 < -539843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312000 (base 4) to base 12.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1261 - -1319. Calculate the remainder when w is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 0 + 7*w - 8.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079.713 milligrams in micrograms?\nAnswer: 2079713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1264)\/(-2) - (-3)\/(-2)*(-490)\/105. What is the third smallest value in c, 0.4, 3, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 28*r + 460. Let y be z(-11). Calculate the highest common factor of y and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 57193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85606 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -269, -539, -809, -1079?\n\"Answer: -270*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 + 14?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4 - 59797610*s**3\/3 - 99662698*s**2\/3 - 19932542*s\/3 + 6644180 = 0.\nAnswer: -1, 1\/3, 9966270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {h: 5, o: 3, s: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3117794 or 3117799?\nAnswer: 3117799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 <= -142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 12, 0, -4 in decreasing order.\nAnswer: 12, 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/6 + 19*s**3\/3 + 19*s**2\/2 + s - 2473. What is l(-18)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -3 + -12 + 11. What are the prime factors of (8 - (s - -3))*543\/5?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119003 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7417\/7 - -1062. Let n = -4\/2305 + 133726\/20745. What is the common denominator of r and n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 29 = -5*f + 5*j, 2*j = f + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 74, 109, 144?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:44 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -33.4, 1\/2, 0.3, 0.2 in descending order.\nAnswer: 1\/2, 0.3, 0.2, -33.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 67*u**2 - 37*u. Let j(a) = 21*a**2 - 13*a. Give 7*j(z) - 2*q(z).\nAnswer: 13*z**2 - 17*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = z. Suppose z = 32*n - 33*n + 5. Let l(m) = 17*m - 1. List the prime factors of l(n).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*b = -x - 995, -x - 205 = 2*b. Let h = x - -201. Let p(v) = 4*v - 19. Let q(t) = -5 + 22 - 2*t - 8. What is h*p(a) + 13*q(a)?\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10141321 (base 5) to base 9.\nAnswer: 137150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.06 - -4. Let s = -0.89 + 1.89. Which is the third biggest value? (a) -4 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -245 - -247. Let j(i) be the first derivative of 0*i + 5 + 0*i**3 - 1\/3*i**6 - 1\/2*i**4 + 4\/5*i**5 + 0*i**r. Factor j(t).\nAnswer: -2*t**3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 13 = -q, -31*j = -34*j + 8*q + 41 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -28*v + 322. Suppose 0 = -u - 2*f + 20, 0 = -3*u - 2*f + 7*f + 71. What is the remainder when u is divided by d(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(9\/2))\/(3930\/(-9432)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 714581 - 357066 - 357707.\nAnswer: 2*v - 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 1194266701743 and 0.98.\nAnswer: 1194266701743.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 14 = -7*b. Suppose -21 = -z + b. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/((-42)\/6) - (-416)\/(-2). Let p = t - -448. List the prime factors of p.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + (-1 - 1) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 2. Let z(g) be the third derivative of 5*g**4\/24 + 17*g**3\/2 - 31*g**2. Let q be z(-9). Let o(j) = -14 + 1 + q - 19*j. Give 22*b(a) + 6*o(a).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95116, -95050, -94984?\nAnswer: -94918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 - 3 = 0. Let n = 4 + q. What is the remainder when (-99)\/(-12) + 2\/(-8) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 4. Calculate the remainder when 63 is divided by w(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 137*h**7\/2520 - h**6\/720 - 29*h**5\/60 - 11*h**2. Let u(z) be the third derivative of f(z). Is u(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/3, 2, 8\/9, -1\/6 in increasing order.\nAnswer: -8\/3, -1\/6, 8\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9269 (base 12) in base 15?\nAnswer: 4ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 9*q - 13*q + 5*s, 5*q = 2*s - 30. Calculate the common denominator of (9548\/(-960))\/(-11) - q\/(-30) and -69\/44.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9193 - -9197. Calculate the least common multiple of 986 and p.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, e: 2, u: 1}. What is prob of sequence cucc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51417, 50145, 48873, 47601?\nAnswer: 46329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 104 * 0.08\nAnswer: 8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*l + 190*l + 2*l**2 + 525*l in the form i*l**2 + x + q*l and give q.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 298669 and 679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9389 + 206485\/22. What is the common denominator of -25\/4 and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 + 25 - 71)*(0 - 1 + 0)*(0 + 0 - 2*b) to p + a*b and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/6 - j**3\/2 + 59*j**2\/2 + 37*j. List the prime factors of c(13).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 48 = 2*h. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*s**2 + 4*s + 7 = 0. Calculate s.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1948251, 1948246, 1948241, 1948236?\n\"Answer: -5*i + 1948256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12875240927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 331, -22, 3, -1 in ascending order.\nAnswer: -22, -1, 3, 16, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-6)*(14 + -4 + 8). Let z be (-600)\/(-1)*(-51000)\/18. Let u be 108*(-7)\/(o\/z). Round u to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/((-756)\/378)*1\/(-18)\nAnswer: -1\/180","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/48 and 187\/30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*l*z**3 + 679540*l*z + 9*z**3 - 6209048*z wrt l.\nAnswer: -6*z**3 + 679540*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + -1*(-1 + sqrt(68))*6*5))**2*-3.\nAnswer: -6694272 + 362880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i)**(1\/37)*i**(1\/4)\/i**(-5)*(i**(1\/9)\/i**(-2))**(-48) assuming i is positive.\nAnswer: i**(-42673\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 + 3*w**2 + 3. Let b(q) = -q**3 - q**2 - 1. Let n be (-4)\/(-3) - (-390)\/(-90). Give n*b(s) - g(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -315 - -12?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -f - 37, 8308*m + 100 = 8311*m - 9*f - 101 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.84 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*b - 16823484 + 16823486, 3*b + 3*i - 39 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a - 3 - 428 = -112 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3320, 3311, 3288, 3245, 3176?\nAnswer: 3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3931190, 7862375, 11793560, 15724745?\n\"Answer: 3931185*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/2*(-9 + 7). Let v(y) = 0*y + y**2 - k*y + 13*y + 10*y**3 + 1. List the prime factors of v(2).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 5*c + 4. Let x be j(3). Let a be (x + (-4)\/(-3))*-3. Find the third derivative of 4*d**2 - a*d**2 + 2*d**6 - d**6 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - s**2 - 146 + 15*s**4 + 146 + (0 + 3 + s - 9)*(9*s**3 - 3 + 3).\nAnswer: 24*s**4 - 54*s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20920264307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 1)\/(16 + -5 - 12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 11:29 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2566.7 - -336.7. Let d = t + 2230.0897. What is d rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3 - 3, -5*x + 2 = -2*g. Let n(v) = -v**2 + 3*v - 4. Give n(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -887853, -887904, -888041, -888306, -888741, -889388?\n\"Answer: -7*b**3 - b**2 + b - 887846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*-48*(-3)\/6 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*x + 2. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 3)\/(5\/(-220)). Suppose -2*a = -m - a + u, 4*a = 5*m - 435. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -5, -2.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12728*k**2 + k - 24190 wrt k.\nAnswer: -25456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/3)\/(-4))\/(28\/(-336)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 10609472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115369 divided by -2683?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/16 + 7\/(-14). Which is the third biggest value? (a) h (b) -1\/6 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-5) - (0 + -2). Let j(t) = -2*t**2 + 46*t - 4. Let y be j(23). Let d be (56\/(-12) + 4)\/(2\/y). What is the nearest to 0 in 1, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/(-14) + 3 + 4970\/49. Calculate the highest common factor of 170 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 - -0.31. Let w = -0.21 + m. Sort w, -4, -2.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 7*b + 5. Let a(v) = v**2 + 24*v + 38. Let u(d) = 23*d + 32. Let p(l) = -3*a(l) + 4*u(l). Give 8*k(c) - 3*p(c).\nAnswer: c**2 - 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 24 - 0. What is the remainder when f is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxatvghhg. Give prob of sequence htvv.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-2 + 1\/1). Let z = 1959 + -1950. Let h = z + w. What is the greatest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 c, and 1 j when three letters picked without replacement from cjjzzjw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74797, -150129, -225461, -300793?\n\"Answer: -75332*d + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1291, -5157, -11615, -20677, -32355, -46661, -63607?\n\"Answer: -2*p**3 - 1284*p**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 236329\nAnswer: 118164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 - 6*v**3 + 8*v**2 = 0. What is v?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 1\/2 (c) -0.4 (d) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5443, -5432, -5409, -5368, -5303?\nAnswer: -5208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*-3*6\/63.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*f**3*q**3*x + f**3*q*x**2 + f**2*q**3 - 3*f**2*q*x - 2*f**2*x**2 - 3*x**2 wrt f?\nAnswer: -252*q**3*x + 6*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f*f\/f**(5\/6)*f)\/f)\/f*f)\/(f\/(f\/(f\/(f*(f\/f**(-5)*f)\/f)))))\/(f\/f**(2\/11)*f**(2\/17)))**(-2\/25) assuming f is positive.\nAnswer: f**(-6991\/14025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s + 0*s + 116 = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.4, 1\/110?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (48 - 49)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -6. Suppose 6*l - l = -4*p + 42, l - 16 = 3*p. Let o(g) = 1 + 12*g - 3 + 4. Let b(q) = q. Give l*b(i) + s*o(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2583*i - 16 = -l - 2578*i, i + 56 = 5*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 81 = 5*o, 2*o + 2*o + 53 = 3*d. Let k = -19 + d. Solve -4*s + k*s = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 t when four letters picked without replacement from dtgggtlttggdl.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 4*m**2 - 16*m**2 - m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + s + 4614, -2*r + 2931 + 143 = -s. Is r a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -122, -139, -170, -221, -298?\n\"Answer: -s**3 - s**2 - 7*s - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 105\/(-15) - ((-4)\/(-4) + 20). Which is smaller: -35 or z?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*p = -6*g - 444, 628*p = -5*g - 0*g + 630*p - 718 for g.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 1 + (-440 - -452)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -39. Suppose -3*k - k + 4 = 0. Solve -z + k - d = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = 2*j. Suppose -4*u + 3*u = j. Let g = -25\/84 + -1\/28. Which is the closest to u? (a) g (b) -2\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*h*k*v + 5*h*k + 49*k*v + k - 3*v with respect to h.\nAnswer: 89*k*v + 5*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)*o**(-1\/3)*o**(-5)*o\/o**(-3)*o*((o*o**(-1\/5))\/(((o\/(o*o**(1\/4)*o))\/o*o*o)\/o))**(3\/2) assuming o is positive.\nAnswer: o**(-271\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {v: 3, g: 3, s: 1, z: 3, d: 2, w: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0*y**4 + 0*y**3 - 2\/3*y**5 + 0 + 9*y**2 + 0*y - 7\/60*y**6. What is the third derivative of i(j) wrt j?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/18*135\/18 and 2\/5 - (-379)\/(-60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + -2.06. Let p = 28.4 + -28.8. Put g, p, -0.3 in increasing order.\nAnswer: g, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**4 - h**3 - h**2 - h + 1. Let y(p) = 2*p**3 + p**2 - 2. Let u(m) = b(m) + y(m). Let r(s) = s**4 - 1. Let i(o) = 3*r(o) - 2*u(o). Factor i(a).\nAnswer: (a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -947450 and 101.\nAnswer: -947349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m + 290*m**2 - 5*m - 288*m**2 - 271*m**4 in the form h*m**2 + d*m**3 + k*m + n*m**4 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*m**3*x + 35799*m**3 - 9*m*x - 55*x wrt x?\nAnswer: -17*m**3 - 9*m - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5, 0 = -5*f + 2*j - 7*j. Let u(q) = q. Let a be u(f). Suppose -g - 2*g - 46 = h, -3*h - 78 = a*g. Is g at least -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45\/28 - -6\/7. What is the smallest value in w, 0.2, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107877 * 4309\nAnswer: -464841993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 6 = 0. Let f(s) = -m*s - 2 + 2*s - 1. What is the units digit of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 - 6. Let z be o(0). Let v = 5 + z. Let g(i) = 4*i**2 + 1. What is the smallest common multiple of 4 and g(v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u. Let a(b) = -b - 258. Calculate a(q(j)).\nAnswer: -8*j - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 9) to base 8.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r - 5. Suppose -3*k + 60 = 3*t, -r*k - 3*t - 5 = -103. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13862, -55424, -124684, -221642, -346298, -498652, -678704?\nAnswer: -886454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.254 + -0.35. Let b be (-255)\/(-1530) - (-2)\/(-3). Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -211, -7, 270?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0*u**2 + 0 + 4*u - 1\/6*u**4 + 0*u**3. Let p(j) = -3*j. What is p(o(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(5)*2)**2 - (sqrt(5) - sqrt(180))**2*2.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 - (12\/14)\/((-273)\/(-637)). Factor 0*p + r + 0*p**2 + 1\/5*p**4 + p**3.\nAnswer: p**3*(p + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**2 - 3. Let w(z) = -17*z. What is w(h(b))?\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-2\/55))**6 assuming v is positive.\nAnswer: v**(-12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -24*(-6 - (-4)\/2). Suppose 9*c - 5*c = b. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4165068.\nAnswer: 2, 3, 17, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5595621 to the power of 1\/2, to the nearest integer?\nAnswer: 2366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 + 949*n**2 + 35392*n + 66980 = 0. What is n?\nAnswer: -34, -2, 985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003923874 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 0*n + 35 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6597.66 litres to millilitres.\nAnswer: 6597660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/((y*y*y**(1\/2)*y)\/y))\/y))**(8\/3)\/(y\/(y\/y**1))**(-1\/27)*(y\/(y**(-9)\/y)*y*y**(1\/3))\/(y**9\/y**(5\/4)) assuming y is positive.\nAnswer: y**(1507\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1466 - 62*i**3 + 2929 + 110*i**3 - 1463 - 51*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013608 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1833 by -5.\nAnswer: 1833\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 74*d - 738. Let v be t(10). Solve 5*u - r + 2 = 0, 3*u + 56 - 59 = v*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/280*236*(-10)\/(-156). Let d = f + -13\/4. Which is the closest to 2\/31? (a) d (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 3249*z**2 - 5*z + 3 + 3238*z**2 - 2*z**2 + 0*z**2 + 0*z**2 + 2*z**2 + 0*z + 0*z + (3*z - 2*z + 0*z)*(-4*z + 2*z + 4*z) + 0*z**2 - z**2 + 0*z**2.\nAnswer: -10*z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 751327947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.86 + -93.86. Let h = -1968 + 1968.1. Is h at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283316?\nAnswer: 2, 11, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r + 98. Let z be l(12). Solve -4*v + 3*w = 9, -3*v - 1 - 5 = -z*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*d = -113*d - 6930. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -0.2, 409, -19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1196*i - 1204*i + 56 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.04 (b) -1\/5 (c) -1.2 (d) -3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 289709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2431 and 711.\nAnswer: -1728441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 13. Suppose -5*s + 5*p + 74 = -m, 5*s - 2*p = 71. Solve y + s = 2*f, -3*y = -0*y + 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acc when three letters picked without replacement from {c: 4, a: 2, n: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(2\/10*(-8)\/((-32)\/(-60)))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) -73.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 3\/6 - -2. Which is the second biggest value? (a) 0.3 (b) -3\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77.7643 - -0.0357. Let x = z + -77. Which is the closest to -1\/9? (a) 5 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217820079 to the power of 1\/3, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 1012*n**2 + 5079*n - 6102.\nAnswer: -(n - 3)*(n - 2)*(n + 1017)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 2*a + 1. Let c be w(1). Let q be (1 - (-43)\/(-3)) + (-1 - c). Which is smaller: -10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 3*i + 4*j - 34, 4*j = -9843 + 9875 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 3*p + 2*p)*(-p - p + 4*p) + 50*p - p**2 - 50*p - 4*p**2 - p**2 + p**2 to s*p + d*p**2 + i and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405 by 24263.\nAnswer: 405\/24263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/12)\/(3\/870). Let u = v + -48. Suppose -5 = -m - 2. Which is the nearest to u? (a) m (b) -2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-66)\/(-9))\/(2\/3). Suppose -h - 24 - o = 0. Let f be (4\/(-3))\/(h\/(-15)). Which is the third biggest value? (a) -0.3 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*-24 - (-1 - 1 - -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 10*d**2 + 9*d - 5. Let h be j(9). Let p = h + 1. Is p greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1100890736497 and 4.\nAnswer: 1100890736501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -120121132110?\nAnswer: 120121132102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:41 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2.27 + 1600\nAnswer: 1597.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -18 - 17*b**2 + 14*b + 2 + 10*b**2 + 6*b**2. Give a(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 34471.521 seconds?\nAnswer: 0.0569965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 - 10 = 0. Suppose -119 = -j*a - 7. Solve 0 = -4*t - 3*w + 2, 9*t - 4*t - 2*w = a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 7*j**2 + j + 3. Let d be w(-7). Suppose 4*u - 1 - 4 = -a, 4*a - 4 = 0. Let y be (3\/(-9))\/(u\/9). Put y, d, 1 in decreasing order.\nAnswer: 1, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115457 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2708, 5378, 8046, 10712, 13376, 16038, 18698?\n\"Answer: -b**2 + 2673*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 21 = -447*n + 450*n, -d + 2*n = -14. Which is greater: d or -19\/30?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 15631.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*i + 10, 2*i + 2 = 3*g + 1. Suppose -20 = -5*j, j = s - 2*j + 13. Let d be (s + 1)\/(i\/1). Solve 5*u - 3*q - 17 = d, 2*q - 13 = -3*u + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15910860 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p*p**(-3)*p*p\/p**(-3\/11)*p*p*p**(1\/6)\/p)**(-1\/12) assuming p is positive.\nAnswer: p**(-161\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 24*w**2 - 27*w + 66. Let h be t(25). Sort 4, h, 5, 0 in decreasing order.\nAnswer: h, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 10*z - 6. Let r be w(-9). Differentiate -20*t**3 + 2*t**3 - 15 - 13*t**r + 49 with respect to t.\nAnswer: -93*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -66312\/5, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**19*(p\/(p*p**(1\/6)))\/(p*p\/p**(1\/2)) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/11 + 26\/33. Which is the third smallest value? (a) -1\/3 (b) 0 (c) -0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*v - 4, -3*w + 0*v = 5*v - 32. Let p(a) = -3 - 6*a - a + w*a + 0*a. Calculate the smallest common multiple of p(-2) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -264 + 39*s**2 + 722 + 4*s - 456 in the form d*s**2 + q + i*s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -70 + a8557?\nAnswer: a84d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58635 by -8.\nAnswer: -58635\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from huhmmhhuhmuuhh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 - 9624*z**2 - 57888*z = 0. Calculate z.\nAnswer: -6, 0, 2412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1022881 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (24 - 321)*(-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*j - 8*j. Let v be 10\/(3*j\/(-3)). Let n = 84096 - 84094. Solve -v*o = -4*q - 36, n*q + 2*q - 3*o = -28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/5))\/h)**(-27)\/((h\/(h**(1\/4)\/h*h))\/(h**(-2)*h)) assuming h is positive.\nAnswer: h**(181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-18)\/8*1320\/1980.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-440 + 436)\/(2 + 2 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1 - -5 - (4 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 522 + -274. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*q - 3*q, -3*w + 1 = -2*q. Let n be 0\/((w + 0)\/1). Suppose 60 = -n*g + 2*g. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 10690640*m - 28572445902400.\nAnswer: -(m + 5345320)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 6*i = 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-21))**(-7\/4) assuming p is positive.\nAnswer: p**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-24))\/(3\/2). Let g = 1 + -2. Let n = -0.7 - g. Sort -1, y, n.\nAnswer: -1, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 24587 = p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4683\/5 - 937. What is the closest to p in -2, 5, -4, 15\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 2603*m**2 - 2603*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -57 - (4894 - 4893)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77, 209, 361, 527, 701?\n\"Answer: -b**3 + 16*b**2 + 91*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222519726.\nAnswer: 2, 3, 11, 13, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2231512, 17852153, 60251036, 142817281, 278940008, 482008337?\n\"Answer: 2231520*u**3 + u**2 - 2*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21.204 and -0.2.\nAnswer: 21.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-50)\/(-15))\/10)\/((-2)\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -215*s**3 + 358*s.\nAnswer: -1290*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.05 + -1297710969.\nAnswer: -1297710970.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 124*g + 11. Let n(p) = 58*p + 5. Determine 5*n(l) - 2*u(l).\nAnswer: 42*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 197828293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -19?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38\/(-14) + 5)\/(6\/21). Let k(p) = -4*p**2 + 31*p + 5. Let o(j) = -6*j**2 + 47*j + 8. Let z(m) = r*k(m) - 5*o(m). Factor z(i).\nAnswer: -i*(2*i - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75*26\/(-156)*-36*(-4)\/(-72)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r**2 + 4. What is d(3)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -1 in decreasing order.\nAnswer: -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((((d**(8\/5)*d)\/d)\/d)\/d))\/d**(2\/15) assuming d is positive.\nAnswer: d**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 56.44. Let i = 0.36 + p. Let j = 2.8 - i. Which is greater: j or -2\/39?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87512, -87525, -87558, -87617, -87708, -87837, -88010?\nAnswer: -88233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.70378 weeks in milliseconds?\nAnswer: 59696046144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-9)*(28 + -19). Suppose -92 - p = -19*i. Suppose -v = 2*w + 4*v - 44, 4*w - 116 = 4*v. What is the remainder when w is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*b*b\/(b*b**(2\/7)\/b)*b)\/(b**(1\/20)*b\/(((b\/(b\/(b*b**(2\/39))))\/b)\/b)) assuming b is positive.\nAnswer: b**(-28853\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 364 - 356 = 0. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from xexexx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 74.\nAnswer: -7\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1830499326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 138514795 to the power of 1\/3, to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5665, -5593, -5517, -5437, -5353, -5265, -5173?\n\"Answer: 2*p**2 + 66*p - 5733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1067*y - 123974. Calculate s(116).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272364 is divided by 571.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383463?\nAnswer: 3, 137, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/120 and -2 + 0\/2 - (-1590)\/(-480)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2*q - 4*g - 15, 480*q + 1055 = 475*q - 211*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661492 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 20*q**2 - 68*q + 25. Calculate the remainder when 45 is divided by r(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 10)*(6*w**2 + 7*w**2 + 10*w**2)*(-1 + 0 + 3).\nAnswer: -552*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -424.02\nAnswer: 848.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 6*t**2 + 8*t + 1. Suppose 3*w - w - 2 = 0, 3*z = -4*w + 25. Give k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3 (b) -0.168 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370944436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -l - 150, -4*q - 600 = 8*l - 3*l. Let z(t) = -t**3 - 62*t**2 - 64*t - 266. Let j be z(-61). Let g = j - q. What are the prime factors of g?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6065 = -0*l + 5*l. List the prime factors of l.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3739*v**2 + 598*v?\nAnswer: 7478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 722997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2657866, 5315727, 7973586, 10631443, 13289298?\nAnswer: 15947151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 m when four letters picked without replacement from hhhhhhhhhmhm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -6 - (-2 - 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -3*y, 0*r + y = 2*r + 4. Let v = 2 + -1.96. Let d = 0.26 + v. Which is the nearest to 1? (a) d (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.61 - -2.6. Let z = m - -0.01. Which is the closest to z? (a) 0.4 (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56881 (base 10) to base 13\nAnswer: -1cb76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 22*x + 6. Let z(s) = s**2. Determine d(z(y)).\nAnswer: 22*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68236, 68136, 67842, 67252, 66264, 64776, 62686, 59892?\nAnswer: 56292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*2779007.\nAnswer: -108381273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15742 - 15740. Solve -4*u + 26 = -j*c, -237*c = 3*u - 233*c - 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5\/689, 6 in decreasing order.\nAnswer: 6, -5\/689, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103\/39 - -30\/13. Let y = -1 - 0. Let c be (0 + 0)\/y*1. Is c bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347683 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 - 2414*b\/5 - 21888\/5.\nAnswer: 2*(b - 1216)*(b + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84076250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1727*d - 1727*d + 4*s - 20, -2*d = 4*s - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 961339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211202.\nAnswer: 2, 3, 67289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/18*(-1)\/((-3)\/4). Which is the closest to -0.2? (a) -4 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfftbtrtiitifrtfrttl. Give prob of picking 1 f and 1 i.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 9. Let d(l) = 9*l**2. What is d(o(u))?\nAnswer: 36*u**2 + 324*u + 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 1, i: 1, o: 1, r: 1}. Give prob of sequence oi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1725\/(-285))\/(-23)*3\/5)\/1?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.557445454 rounded to 4 decimal places?\nAnswer: 0.5574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/150)\/(54\/(-90))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9959 is divided by 417.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - (37 + -104)) + -59 + (131 - 0).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 1056*b - 350208.\nAnswer: 4*(b - 456)*(b + 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 = -5*h - 85, -3*h = 3*z + 69. Let i(a) = a + 39. Let f be i(z). Solve 0 = -0*v + 4*v - 2*c - f, 5*c - 10 = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*g - 5*t, 7*g = 2*g + 2*t + 8. Suppose 3*k - 512 + 152 = g. Calculate the least common multiple of 3 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -486890924 by 13.\nAnswer: -37453148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 2, p: 8}. What is prob of picking 2 p?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 392157811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -17*c**2 - 1\/60*c**5 + 0 + 0*c - 17\/24*c**4 + 1\/120*c**6 - 5\/6*c**3. Let l be z(5). Solve -b - l = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37749 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1703 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1482 (base 11) to base 15\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 0*s + 9*s + 4*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + y - 138 = 0, q = 3*y + 27 + 7. Suppose -4*w + q = -0*w. Suppose 4*v = w*v - 12. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 8*u**2 - 3*u + 9. Give s(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -31. Let q be 2 - (j - (0 + 0)). Solve -2*r = -n, q*r = -r + 5*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 692*d**3 + 4*d**2*u**2 - 10528*d*u**2 + 2*d - 2*u + 2 wrt d.\nAnswer: 4152*d + 8*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4095 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 2903876?\nAnswer: 2903876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15635025 times -5?\nAnswer: 78175125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2725 or -5963?\nAnswer: -5963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 0*n - 98 + 0*n**2 - 4\/3*n**3 - 1\/14*n**4. Factor l(a).\nAnswer: -2*a**2*(a + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbpz when four letters picked without replacement from bzbp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426 and 18602.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122 and 16?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*m = -777*m - 924 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*d + 24. Let p be ((-1)\/d)\/((-1)\/(-4)). What is the closest to 1 in -1\/4, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from {e: 6, a: 3, r: 1, f: 3, x: 1, v: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-15)*18\/8. Do w and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915610362 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: Divide -5613376 by -2.\nAnswer: 2806688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 187844185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 148510 (base 10) to base 3\nAnswer: 21112201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Is 1 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.8 + -44.2. Let y = u + 74. Which is the nearest to y? (a) 0.1 (b) -1\/3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 49\/6*w**3 + 0*w + 3*w**2 - 1\/60*w**5 + 43\/24*w**4 + 0. Differentiate s(g) wrt g.\nAnswer: -2*g + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134384, 268737, 403094, 537455, 671820?\nAnswer: 806189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311 by 2.\nAnswer: -311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s**2 + 62*s + 2. Let c be k(7). Suppose 48*x + 400 = 46*x. Which is greater: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/4)\/(l*l**(-3\/7))*(l*(l**(-1\/3)\/l)\/l)\/(l*(l\/(l*l\/(l\/((l*l*l**(-1))\/l*l))*l))\/l*l) assuming l is positive.\nAnswer: l**(-181\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, -0.1, 1\/5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263117?\nAnswer: 2263117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 6*z - 2. Let k(d) = -3*d**2 + 11*d + 8. Determine -5*j(m) - 3*k(m).\nAnswer: 4*m**2 - 3*m - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + ((63 - -33) + 24 - 37).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -13\/4822863 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 233170361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(-13)*((j*j*(j\/(j\/(j*j**(1\/2))))\/j)\/j)\/j**(1\/5) assuming j is positive.\nAnswer: j**(-247\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20. What is the biggest value in q, 4\/7, 0.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -149630962?\nAnswer: 1\/74815481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 15*y**2 - 5*y - 15.\nAnswer: 5*(y - 1)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 250 + 751 = 147*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5 + 3*q - 4*q + 0*q. Let j be a(-6). Suppose -4*i = -16, t - 7*i = -4*i - j. Solve 3*v + t + 2 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2254 + -151?\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(((u**(-6\/13)\/u)\/u)\/u)\/u*u**(-3\/7)*(u**(-4)*u*u)\/(u**(2\/15)*u) assuming u is positive.\nAnswer: u**(-9587\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 4*h - 22 = 0, 2*h = 4*y - 32. Suppose y*z = 167 + 91. Calculate the remainder when z is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.63 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/322585 and -17\/21650.\nAnswer: 3225850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(245) + -1 - 6*sqrt(5)*3)*5.\nAnswer: -275*sqrt(5) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-3)*430\/4. Suppose 16297 = 1782*j - 16965 - 65421 + 22057. Calculate the highest common divisor of j and r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230\/138*2*6*7\/(-84)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 26*f + 58. Let n be k(-28). Let l be -1 - 30\/9*-12. Let j be (-43)\/(-3) + (-13)\/l. Calculate the greatest common divisor of n and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388600 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106411.\nAnswer: 106411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.2, -2, 0.13 in increasing order.\nAnswer: -2, 0.13, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 32*g - 53. What is b(30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*k + 68*k - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-84)\/450)\/(-7))\/((-1)\/3).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 30 = -6*m + 11*m, -5*f - 13 = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07983 - -0.0848. What is f rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*p + 17 = 0, 10*p - 11 = -6*b - b + 9*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15324942 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-2\/9)*u*u*(u*u*(u\/((u\/u**(-7))\/u))\/u*u)\/u*u\/(u\/(u*u*u**(1\/2)\/u*u))*u*u**(-6) assuming u is positive.\nAnswer: u**(-77\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -0*p - 5*p + 2*r, 0 = -p + r + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = -3*a. Let y(u) = 4*u**2 + 2*u - 66. Let g be y(0). Sort a, g, 0 in decreasing order.\nAnswer: a, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -12. Suppose -o*t + t = -20. What are the prime factors of (t\/(-5))\/(8\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxyvxxxgvxq. What is prob of sequence yq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*2\/192*58\/2?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 75*n - 6*n**2 + 0 - 1\/24*n**4 + 5\/6*n**3. Factor c(w).\nAnswer: -(w - 6)*(w - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 6*o + 4. Let f = 9 + 0. Let t be z(f). What is the greatest common factor of 88 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22\/3 + 280\/39. Let w = 1 + -1.2. Let o = 0.01 + -1.01. Which is the nearest to o? (a) -0.3 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = 4*h + 35, -3*h + 10 = -5*l. Suppose 2*j - 9 = -3. Suppose -11 = -4*u - j. Put l, u, 3 in decreasing order.\nAnswer: 3, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -787064?\nAnswer: 393532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145978761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.5. Suppose -4*w - 5*m = 7, -2*w + 2*m = -3*w - 1. Sort w, -0.1, k.\nAnswer: w, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 81, 6, -1, 1, -2 in descending order.\nAnswer: 81, 6, 1, -1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 5:52 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {s: 2, g: 4, z: 5}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 + 2)*(-5 + 4). Suppose w*i = 3*i - 5. Let c(m) be the third derivative of -7*m**6\/60 - m**3\/6 - 39*m**2. Determine c(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z - 21*z - 45*z.\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730480.5kg to milligrams.\nAnswer: 730480500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2376 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 2*o - 5*o to the form q + i*o and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 453433464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*m**3*y**2 - 2542*g**2*m*y**2 - 4*g**2*m*y - 5*g**2*m - 11*g*m**3 - m**2*y - 7*m**2 wrt y.\nAnswer: -2*g**2*m**3 - 5084*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 15*t - 43. Let k be y(4). Suppose 12*m - 15*m + p = 0, -4*m + k = -p. Let i(c) = -8*c**3 - c**2 - c + 1. Calculate i(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + l = -27, 3*l = 0. Suppose -5*t - 15 = 0, -5*s = 5*t - 3*t - k. Factor 0*w**2 + 0 + 4\/3*w**5 + 1\/3*w**s + 5\/3*w**4 + 0*w.\nAnswer: w**3*(w + 1)*(4*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = 5*a, 2*j + 4 = 3*a + 4*j. Suppose 2*s = 0, -a*s - 41 = -p + 8. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63\/472 or 0?\nAnswer: -63\/472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2)\/(30\/(-9)). Let n = -0.2 + -0.3. Let h = -4.5 - n. Which is the third smallest value? (a) -0.5 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -1\/3 (c) 2\/87 (d) 36\/71 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 35 - 12 - (-21 - -50)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 311 + 672. Suppose 6*o = -g + 1127. Calculate the highest common divisor of 24 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 21. Let s be (6\/4 + -2)*k. Suppose 4*l + s - 15 = 0. What is the remainder when 5 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 0, 109, -6, 2 in decreasing order.\nAnswer: 109, 2, 0, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925046?\nAnswer: 2, 631, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.275 in 2\/7, 0.4, 0.1, 1\/2, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(3 + 1 - 3)*(-2*x - x + x)*(3 - 1 + 6).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20444)\/(-538) + -1 + -22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -376, -542, -708, -874, -1040?\nAnswer: -1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**3\/6 + s**2\/2 + 2*s. Let v be z(13). Suppose y + v = 2*g - 232, g + 5*y = 112. Does 36 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/465 and -22\/465?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0 (c) 13 (d) -178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/65280325 and -68\/65280325.\nAnswer: 65280325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j*u**3 + 128*j*u**2 - 3*j - 9*u**3 + 2*u**2 - 5609*u wrt u?\nAnswer: -48*j*u + 256*j - 54*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35097721?\nAnswer: 173, 202877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Suppose -10 = c*o + 2*o. Let u be 2 + o + (-45)\/(-3). What is the greatest common factor of 105 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6101293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 10. Sort -154, 4, 2, c in descending order.\nAnswer: 4, 2, c, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 165*f**4 + 3635*f**3 - 16390*f**2 + 16660*f + 520 = 0.\nAnswer: -26, -1\/33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14695620?\nAnswer: 2, 3, 5, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -1, 361, -5 in ascending order.\nAnswer: -5, -1, 3, 4, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 187\/2 - (2 - (-1)\/(-2)). Factor 147*k + m*k**3 + 480*k**2 + 22*k**4 - 95*k - 18*k**4 - 628*k.\nAnswer: 4*k*(k - 1)*(k + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -219, 2, -113 in descending order.\nAnswer: 6, 2, -113, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/10))\/d**10 assuming d is positive.\nAnswer: d**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 992\nAnswer: -47\/992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 35 + 20. Let f(c) = 0*c + v - 55 - c. Let w(r) = 22*r**2. What is w(f(h))?\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -332434 or -332431?\nAnswer: -332431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {d: 10, x: 2, j: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 141380.55 and -151.13?\nAnswer: 141531.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -14*x - 17. Let k(o) = -o**2 - o - 2. Let g be k(2). Let d be i(g). Suppose 0*h + d = 5*h. Calculate the highest common divisor of 57 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6764792 + -12147692. Round g to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-59)\/118*6\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 61?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-9) - 1)*-3. Let k be ((-112)\/d)\/(2\/4). Suppose -2*j + 3*j = k. What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51210)\/(-7) + 4\/14. Suppose i + 1459 = 15*x. What are the prime factors of x?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/6840*171)\/(15\/4).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 6*v + 23. Let n(k) = -k**2 + 3*k - 12. Let a(m) = 5*n(m) + 2*q(m). Let i(x) be the first derivative of a(x). Determine i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -343482, -343403, -343324, -343245, -343166?\n\"Answer: 79*m - 343561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35998 and 2050.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 43. Let u = 20.92 - p. Round u to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.79 + 0.21. Suppose -4*g = -k - 0*g + 204, 4*g + 1100 = 5*k. Let w = k + -2462\/11. Which is the nearest to -0.2? (a) x (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 55480\/(-570)*(-99)\/44*(1\/1)\/(-3)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1011 + 220?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -106.224*2\nAnswer: -212.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 82*o + 41. Let f(z) = 1. What is -2*c(a) + 82*f(a)?\nAnswer: -164*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 + 20\/(-28). Let z be 1*m*12\/(-6). Suppose -5*i = -z*i + 20700. Round i to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 28. Let d be y(12). Suppose 8*j = 4*j + 224. What is the greatest common divisor of d and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/12147218 and 1\/22.\nAnswer: 133619398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -1 - 9) + 8 - 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38810 (base 10) to base 5\nAnswer: 2220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000194885 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-9))\/(1\/(-3)). Suppose z = -g*p + 5, -p + 10 = 3*z - z. Let f be 28*(3\/1 - 2). Solve -5*s - 3*q + f = 0, -z*s + 35 = -3*q + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = 3. Suppose -14 = j*h - 4*h. Suppose 3*f - 2 = 2*l, 2*f - h = 2*l - 7*l. Solve 5*p - 5*t = 0, 5*p - 6 = -f*t + 4*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s - 51*s**2 - 9 + 21*s**2 + 28*s**2. Give i(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(150))\/(sqrt(128) + (sqrt(128) - sqrt(128)*-1)).\nAnswer: 5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11*f**3 - f**2 + f + 1. Let m(k) = -k**3 - 3*k**2 - k - 4. Let c be m(-3). Let w be q(c). What is the highest common factor of w and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/40 and 109\/229140.\nAnswer: 458280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Let n(s) be the first derivative of 2*s**2 - 2*s**2 + 3 + s**2 + 2*s**r. Let i(l) = -l. What is i(n(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 5 + 13 - 27 + (-r**2 + 2*r**2 - 2*r**2)*(4 + 0 - 3) - 2*r**2 + 2*r - 2*r.\nAnswer: -4*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(198)\/(sqrt(11) - (sqrt(11) - sqrt(22)\/sqrt(2)*-1)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194039*m*r**3 + 3*m*r**2 + 7*m + 38*r**2 + 67*r wrt r.\nAnswer: 1164234*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 21535 = 43*n - 38*n, -4*o = 5*n - 7265. Suppose -1\/2*j**2 - o - 60*j = 0. What is j?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 8*d**2 + 2*d + 7. Calculate r(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 3)*(-18)\/(-4). Let d = 11 - 0. Suppose 3*a - d = 7. Solve a*v - t = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1187596, 2375214, 3562832, 4750450, 5938068?\nAnswer: 7125686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i**2 - 3*i - 3. Let z = -173 + 174. Suppose 8 + z = 3*k. Let p(g) = 25*g**2 + 8*g + 8. What is k*p(a) + 8*t(a)?\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 52\/5 of a millennium?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 15*h + 40. What is the highest common divisor of h and 280?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r**2 - 2*r + 7. Let z be p(-9). Suppose 3*v = -3*d + 324, -5*d = -d + 3*v - z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 11*s = 2. What are the prime factors of (-60)\/(-70)*(-56)\/s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000896187576 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 53\/12, 5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 910 and 4875.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 1. Let l(z) = z**2 + 1. Let k(u) = -2*l(u) - 3*w(u). Let n be k(0). Is (-14)\/((-5)\/3 + n) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.64 + 0.24. Let q = 8 - 6. What is the closest to 0.1 in -2, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (sqrt(108) + -2))*3)**2 - (3 + (sqrt(108) - (sqrt(108) - (sqrt(108) - ((sqrt(108) + -5 - sqrt(108)) + sqrt(108) - sqrt(108)))))).\nAnswer: -6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 750.319 + -746.5. Let g = t - -0.611. What is g rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19197546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/(84\/189)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840267.3 milliseconds to minutes.\nAnswer: 14.004455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*q + 8 = 0, 5*q - 1 = 4*g - 12. Let a(o) = o. Let w be 6\/(-2) + (-5)\/5. Let n(k) = -6*k + 1. Give g*n(p) + w*a(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*r - 5, -11*r + 12*r = 2*v + 9. Solve -5*h = -4*i + r, -4*h + 17 - 27 = -2*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 3. Let l be x(5). Differentiate 4*w**2 + l - 21*w + 21*w with respect to w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5367787 is divided by 189?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2652 + 2685. Solve 63*b + p = 52*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -y - 1. Let m = y - 14. Solve 0 = 2*d - 2*k - 2, -1 = 4*d - k + m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 11) to base 7.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7819424099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-53)\/(-4) - (-17)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*c - m, 7*m - 2*m = 3*c + 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10575671 is divided by 466.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 t when three letters picked without replacement from bbbbdbtbdbbbbdbbb?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) 1\/2 (c) -3 (d) 0.3 (e) 5 (f) 1573 (g) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628822166?\nAnswer: 2, 7, 31, 41, 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 2*u - 2. Let l(j) = j**2 + 62*j + 8. Determine -l(n) - 4*t(n).\nAnswer: 3*n**2 - 54*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2000 divide 23716000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 3*m**3 + 0*m**2 - m**2 - 4*m**3. Let i be p(-2). What is the units digit of 4 + 2\/(i + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122*h**6 - 9*h**4 - 6*h**2 - 42 wrt h.\nAnswer: -14640*h**3 - 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:28 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -350011 (base 7) in base 14?\nAnswer: -18a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000233 to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 59. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13.44 or 88711?\nAnswer: -13.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/10 and -59\/2276468.\nAnswer: 11382340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 24 + 11 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a microgram in nanograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5.52*0.233496\nAnswer: 1.28889792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 111 = 53*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674452?\nAnswer: 2, 23, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/n*n**(14\/9) assuming n is positive.\nAnswer: n**(-31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 247728527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/5725?\nAnswer: -2\/5725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.684 - -0.024. Let c = 0.39 - 0.42. Let y = c + h. What is y rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2663650 (base 7) to base 13.\nAnswer: -c4237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 156871 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/10)\/((-1892)\/(-2150)*-5).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -160*h - 4222. What is d(-28)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -4.54, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2631*j**3 - 364*j**3 + 22*j**3)*(2*j + 3 - 3).\nAnswer: -5946*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (2 + 0)) + (17 - 17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1206 - 836. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = 9*n - 2101. Suppose 26*r + n = 30*r. Is r a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89, -633, -1539, -2807?\n\"Answer: -181*w**2 - w + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbeb when four letters picked without replacement from {e: 3, z: 1, b: 5, w: 5, s: 1}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllylllllyllllll. Give prob of sequence ll.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1255.72 + -1256. Which is the closest to -0.06? (a) 4 (b) i (c) 1 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111399 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2810 = -12*j. Suppose 0 = 13*g - 109 - j. Suppose 0 = 3*z - 13*z + g. Put 0, 5, z in decreasing order.\nAnswer: 5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(176) + 3 - (sqrt(176) + ((-2*sqrt(176) - sqrt(176)) + sqrt(176))*-1) - ((-4 + 0 + sqrt(176))**2 + (-3*sqrt(176)*-3)**2).\nAnswer: -14445 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -4)*(-42)\/(-56). Solve 0 = x*v - 0 - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47322139 is divided by 321?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*10\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2058 in 0.1, -5, 18, 3, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - -54?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 492.4576 weeks?\nAnswer: 297838356.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**5 - n**4 - n**3 - n**2 + 2. Let p(j) = 2*j**5 - 8*j**4 - 2*j**2 + 7 + 3 - 513*j**3 + 511*j**3. Let w(k) = p(k) - 5*x(k). Solve w(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561027 is divided by 615.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18740, -74988, -168718, -299918, -468576, -674680, -918218?\n\"Answer: 2*i**3 - 18753*i**2 - 3*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7284*d - 9027. Let u(q) = -2426*q + 3008. Let c(o) = -13*u(o) - 4*w(o). Differentiate c(z) wrt z.\nAnswer: 2402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.01, -2\/3, -3.232?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4903, 10383, 15863, 21343?\n\"Answer: 5480*r - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132380 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: Express 0 + 3*m**2 + 0 + (0*m**2 - 3*m**2 + m**2)*(2 + 0 - 1) + (1 + 2 - 2)*(-2*m**2 - 1 + 1) as o*m**2 + a + x*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18807143 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-3\/4)*r))\/(r**(14\/3)\/r*r)*(r\/r**(-13))\/((r*r\/r**23)\/r))**(-1\/17) assuming r is positive.\nAnswer: r**(-385\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33927 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44006436 and 12.\nAnswer: 44006436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049200 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 9*w - 3. What is a(-4)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 4*l**2 + 6*l + 1. Suppose 4*s + s = -75. Let p be (6\/s)\/((-3)\/(-30)). Let d be (-18)\/p + 5\/10. What is b(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/11 - 8652*c**2\/11 + 9434520*c\/11 - 167029776\/11.\nAnswer: 2*(c - 2154)**2*(c - 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21065 = -4*o + 3*u, -81*u = -85*u - 28. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 23865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g - 159. Let j = -97 - g. Let b = j + 62. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4*p - 27 = 0. Let y(s) = -s**2 - 9*s. Let j be y(p). Suppose 0 = 2*q + 2*i + 2 - j, 4*q + 3 = -3*i. Solve -2*v + 0*v = q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0049485 years to millennia.\nAnswer: 0.0000049485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/45 in 1\/4, -506, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s - 1. What is the common denominator of z(1) and 2012\/(-176) + 14\/77?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -185*(66\/(-30))\/11. Suppose 0 = -4*t - 0*t + 76. Let z = o + t. 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: Four letters picked without replacement from {l: 4, r: 3, c: 4, h: 1, u: 1}. What is prob of sequence rrur?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1420557*x + x**3 + 382 + 1420557*x + 2*x**2 as v*x + d*x**2 + c + t*x**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 79.89657 meters?\nAnswer: 79896570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200200 + 10?\nAnswer: -200130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 9*q. Suppose 0 = -3*l + 36 - 9. Let u be r(l). Let m be u + 3 + (-4 - -11). Calculate the greatest common factor of m and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 20 - 24*g**2)*(6 - 6 - 3*g) to the form b*g + y*g**2 + n + a*g**3 and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(110) + (sqrt(110)*-2 - sqrt(110))) - (sqrt(110) + -4*(1*sqrt(110) + sqrt(110))))\/((sqrt(360) + -3*sqrt(360) + sqrt(360))*-1)*-6.\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 > -157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqk when three letters picked without replacement from {q: 1, k: 3, v: 2, y: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*i + 104*i + 44*i + i in the form d*i + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 888, 937, 984, 1029, 1072?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, 4, -14, -6 in decreasing order.\nAnswer: 4, 3, -6, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -105*g - 97*g**4 + 338*g**3 - 338*g**3. Let b(l) = -145*l**4 - 158*l. Let u(h) = 5*b(h) - 8*p(h). Find the second derivative of u(f) wrt f.\nAnswer: 612*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (13 - (40 + -1 - (-20 + 19 - 3)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389909, -779825, -1169743, -1559663?\nAnswer: -1949585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 379, -144, -667?\n\"Answer: -523*v + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:43 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 2. Let h(c) = c + 1. Let t be h(-6). Let a be l(t). Let b = a - 3. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + 12. Solve 4*f - 2 = 3*f - 2*y, -y = q*f + 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.5 - 16.631. Let f = -13.601 - -12.3. Let v = j - f. Round v to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*g = -x - 9, -16 = -2*x + 2*g. Calculate the common denominator of -9 + x + 190\/66 and 28.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01557 and -8.\nAnswer: -0.12456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 5*g**2 - 70*g - 9. What is a(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-21 + 32) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a - 26 + 19 + 23 + 19*a + 15*a - 23*a**2 + a**3. What is h(21)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.027 + -142.22287.\nAnswer: -142.19587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 2:52 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 80903994 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y + 450 = -19*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 198, 448, 798, 1248, 1798, 2448?\nAnswer: 3198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 10:11 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15*(b**9\/b)\/b)\/((b\/b**(2\/21))\/(b\/(b*b\/(b*b**(2\/25))*b))) assuming b is positive.\nAnswer: b**(10592\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*j + 0 - 1003*j**2 + 4*j + 929*j**2 - 2*j**3 to the form b + r*j**3 + i*j**2 + q*j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 197010 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42533*f**2 + 16*f**3 + 21269*f**2 + 21264*f**2 + 58*f**3.\nAnswer: 74*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 less than 439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 60*l - 6. Give s(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Suppose -m = d*m + 108. Let z = -22 - m. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 5*m**2 + 24*m**2 - 6*m + m - 17*m**2.\nAnswer: 2*m**2 - 5*m - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7440 = 568*k - 14712 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3550 and 1278.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 805455.5ng?\nAnswer: 0.0008054555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24\/18*-4*(-9)\/84\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 3698878?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 4, r: 5, x: 1, s: 1}. What is prob of sequence rr?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2837 - 1011?\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/4)*a**(3\/5)*a*(a\/(a**(3\/7)\/a*a))\/(a\/(a*a**(-2))))\/((((a*a**(1\/2)\/a*a)\/a)\/a)**(2\/3)\/(a\/(a*a**(-1)))**(-21\/4)) assuming a is positive.\nAnswer: a**(-839\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a - 2652 = -13*a. Let o = a - -218. What is the biggest value in o, -5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/4 + 7*g**4\/24 + 4*g**3\/3 - g**2 - 280. Let p(i) = 0. Calculate i.\nAnswer: -8\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4623867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from {f: 8, k: 2, s: 1, a: 2}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -48. What is the remainder when 35 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-120))\/((-3)\/(-6))*-3. Let a = 42945\/61 + -704. What is the third smallest value in a, 2\/13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -12, -5, 1355, -3 in decreasing order.\nAnswer: 1355, 1, -3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**5\/8 + 28351*m**4\/8 - 113475*m**3\/8 - 1559575*m**2\/8 - 708875*m\/4 = 0.\nAnswer: -28355, -5, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 4*q**2 - 2*q - 1. Suppose -13*c = -8*c - 15. Suppose z - 6 - 2 = -c*p, -2*z = -2*p. Calculate m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60017473 (base 8) in base 10?\nAnswer: 12590907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27434275*y - 27434200*y = 225 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -154, -156, -158, -160?\n\"Answer: -2*q - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w + 10. Let r(h) = -h**2 + 10*h + 29. Let y(d) = 8*p(d) - 3*r(d). Suppose g + 2*f - 12 = 0, g + 4*f - 1 - 17 = 0. Is y(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -136*l**2 - 8*l - 167. Let g be n(-1). What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 2, c: 1, l: 3, x: 4}. Give prob of sequence ly.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z + 4*z)*(404*z**4 + 1105*z**4 - 89*z**3 + 91*z**3).\nAnswer: 3018*z**5 + 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, n: 3, c: 1}. Give prob of sequence cnnf.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -29. Suppose 7*k - p*k - 68 = 0. Let u = k - -103. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2\/4 - 4561*o\/2 + 515620 = 0.\nAnswer: 232, 8890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 369023, -3, 21, 1 in decreasing order.\nAnswer: 369023, 21, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1632847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*i - 88497 = -864. List the prime factors of i.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 55. Let h(b) = 7*b**3 - 2*b + 1. Let u be h(j). Let g(o) = -5*o + 34. Calculate the smallest common multiple of g(u) and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*i + 0*i + 3 = 0, 3*z = -4*i - 3. What is the units digit of -10*(z - 2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -621.00117 - -621. What is b rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 a factor of 455547495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gff when three letters picked without replacement from {f: 12, g: 3}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 505 - 312. Let w = 197 - q. Solve -w = m - 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26 and -40\/5795741?\nAnswer: 5795741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**2\/2 - 3*p + 1. Suppose -36*i = -34*i - 10. Let l(u) = 1 - 2 + 2. Calculate i*l(a) + 2*d(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -346 - -246. Calculate the lowest common multiple of 48\/5 + (-2)\/(-5) and ((-8)\/(-5))\/((-10)\/u).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 x when four letters picked without replacement from {r: 5, x: 6}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-19)\/((a**2*a)\/a) assuming a is positive.\nAnswer: a**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1)\/s)**(-3\/11)\/(s**(-1\/4)*s\/((s*s**(1\/7)*s)\/s)*s)*((s*s\/(s**0\/s))\/s)**(2\/3)\/(s**(1\/4)*s)**(-34) assuming s is positive.\nAnswer: s**(40193\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 4*r**2 - 105. Let h(x) = 2*x**3 - 3*x**2 + 106. Determine -4*h(k) - 3*s(k).\nAnswer: k**3 - 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2782*s**2 - 10 + 1347*s**2 + 1369*s**2.\nAnswer: -66*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 544. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2 - 3*l + 5. Let m(b) = -1. Let c(o) = k(o) + 4*m(o). Let s be (-19)\/(-4) - 1\/(-4). What are the prime factors of c(s)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**8\/336 - r**4\/24 - 5*r**3\/3 - 3. Let s(l) be the third derivative of u(l). Find the first derivative of s(j) wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f**3 + 0*f - 5\/24*f**4 - f**2 + 1\/12*f**5 + 0. What is the second derivative of h(b) wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1323*a - 708*a - 1000*a - 3099*a to the form j + w*a and give w.\nAnswer: -3484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.93 + -0.07. Let n = y - -7.5. Put n, -0.1, -4 in decreasing order.\nAnswer: -0.1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-420) - ((-80)\/70 + 1).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 175 = 39*g. Suppose -3*q + 2527 = -b, 5*q = g*b - 3*b + 4207. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13087 - 271. What are the prime factors of b?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11392 or -11393?\nAnswer: -11393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2019*o - 18043. Calculate q(-9).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - (1 - 0) - (6 - 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 184. Calculate the remainder when m is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 1, y: 5, f: 1, c: 2}. What is prob of sequence yc?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9314914ug to grams.\nAnswer: 0.0000009314914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (2 - (1 + 7 + 0 + 1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 60*p - 60*p - 4*p**2 + 22. Let m(x) = -3*x. Give m(u(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 6 - (20 + -35 + 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezeezexsjezeejeeee. Give prob of sequence es.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 5 - 13*f - 26 + 13.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 61*a - 84. Let u(v) = -121*v + 164. Let g(n) = 5*d(n) + 2*u(n). What is the first derivative of g(f) wrt f?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3240 + 3333.14. What is p rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + u + 8540 - 8517 = 0, -4*w = -3*u - 69 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*l + 348*l - 65*l + (-l + 2*l - 2*l)*(2 - 7 + 3) to the form t + s*l and give s.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -64, -30, 14, 74, 156, 266, 410?\n\"Answer: f**3 - f**2 + 30*f - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 61 - 3*i + 6*i - 57.\nAnswer: 6*i - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from pppvvqvqpqqevqe?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3556 and 381.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**2 + 2*n**3 + n**3 - 4*n**2 - 4*n**2 wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(48)*-3)**2 - (sqrt(3) + -1 + sqrt(300))**2*-6.\nAnswer: -132*sqrt(3) + 3912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 590, 849, 1122, 1415, 1734, 2085, 2474?\n\"Answer: n**3 + n**2 + 249*n + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 397583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 0.1, 1\/3, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p**2 + 4*p + 4. Let m be 1\/(1 + 4\/(-6)). Let l be t(m). Suppose 16*f - 149 = 27. What is the greatest common factor of f and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 - -3. Let k = -0.21 + 0.21. Let y = -4 - -2. Which is the closest to z? (a) 2\/11 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 10, 0.06, 0, -1\/6, 74, -4 in decreasing order.\nAnswer: 74, 17, 10, 0.06, 0, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388494511.\nAnswer: 31, 1223, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*i + 18336 = -758*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2467022, 2467018, 2467012, 2467004?\nAnswer: 2466994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 6*t**2 + t - 6. Let a be l(6). Suppose 292 = 5*y - 5*i - 293, -3*i - 15 = a. What is the tens digit of 72\/(-28)*y\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8123798268 minus 683?\nAnswer: -8123798951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3 + 12. Put -5, n, 5 in decreasing order.\nAnswer: 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-44) + 7076\/2013. Factor -2\/3*u**2 - j*u - 8\/3.\nAnswer: -2*(u + 1)*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/2572 - 114419\/18004. Let c = -2550 - -1471. Let g = c - -17313\/16. Calculate the common denominator of g and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23\/4 + -6. What is the nearest to f in 0.3, -2, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 759 + -759.5. Which is the third biggest value? (a) j (b) -6\/11 (c) 0.3 (d) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/357*(-12)\/8.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -10.63?\nAnswer: 21.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 13. Suppose -258*s = 258*s - 512*s - 28. Solve 0 = -4*w - b - s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1735 + -1733. Solve 2*b = -2, -s*m - 7 = 3*b - 0*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z**3 - 60*z**2 + 1\/480*z**6 + 0 + 0*z**4 + 0*z - 9\/80*z**5. Factor j(o).\nAnswer: o**2*(o - 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.022, 0.1, -2\/3, 0.32 in decreasing order.\nAnswer: 0.32, 2\/13, 0.1, -0.022, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(273\/4)\/(-39)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -36*t + t + 33. Solve 2*f - t = 0, -3*k - 16 = -4*f - f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-22)\/(-2)) + 1400\/154 + -1.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-35))\/(12\/(-10)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -44*x + 4. Let n be u(-4). Suppose a + 2 = -i, -5*a = -0*a - 10. Let w = n + i. What is the greatest common divisor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 7526 - 7518 = -9*w, w = 4*m - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 - -2.4. Is 10 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3128 and 20?\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 230*p + 3460. Let d = -22 + 42. What is the remainder when w(17) is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = j + 206885, -6*a - 1034395 = -16*a - j. What is a rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 213\/(-2) + 1\/2. Let q = 81 - -133. Let m = z + q. Does 28 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4868*a**2 - 9718*a**2 + 4847*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011101100111010001 + -10?\nAnswer: 1001011101100111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 316.2067l?\nAnswer: 316206.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 28. What is z(-17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427151 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-46)\/(-6))\/((-2)\/(-6)). Suppose -d - 4*u = -b, -4*u + 9*u = d + 13. What is the common denominator of ((-238)\/(-85))\/(2\/(-4)) and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -909.0677605 - 4.106.\nAnswer: -913.1737605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6871580492 - 6871580348.00000461. Let n = 144 - d. Round n to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -201, -335, -369, -213, 223, 1029?\nAnswer: 2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/4)\/((-2)\/(-4)). Let i(y) = y**3 + 6*y**2 + 4*y - 1. What is the lowest common multiple of 22 and i(z)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -23*t**3 - t**2 - t - 1. Let a be o(-1). Let s be 20\/7 - 5\/(-105)*3. Put a, s, -3 in ascending order.\nAnswer: -3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = -20*k + 60*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -135 + -124?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x - 0, -l - 1 = -5*x. Find the second derivative of 6*d**2 - 2*d + 0*d**2 + 4*d**2 + l + 7*d**2 wrt d.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1050 and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 5. Let i be l(-6). Let c be 3 + i - -7 - 2. Find the first derivative of t - 2 - 3 + c wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f - 3. Let x(j) = j + 5. Let i be 6*((-65)\/(-10))\/(-13). Let c(o) = o + 4. Let y(g) = i*x(g) + 4*c(g). Determine -t(k) - 2*y(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) + 17\/5. Suppose 6 = -a*s + 2*s. Let z be 3\/(s\/(-10))*1. Solve -4 = -z*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + 1 + 11\/(-7)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -562*h**3 - 388 - 25 - 354 wrt h.\nAnswer: -1686*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i**2 + 555*i**3 - 7 + 7 - 659*i**3 to x*i + s + l*i**2 + t*i**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3)*(83*p + 4*p + 82*p) to the form g*p + c and give g.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 16*q**2 + 18*q + 35. Let o be h(-7). Solve -o*y - 21 = 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 2*q**2 + q - 2. What is f(-5)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 9}. Give prob of sequence jje.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.098 - -11.098. Let k = s + -11.5. Let u = 0.56 + k. Sort u, 2\/7, -1\/2, -0.3 in descending order.\nAnswer: 2\/7, u, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q. Suppose 0 = -3*c - c - 4. Let m be t(c). Suppose u - 132 = -m*u. What is the remainder when u is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2284\/2353 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j**5 - 5*j**5 + 2*j**5 + (-5*j**4 - j**4 + 4*j**4)*(-2 + 2 + j) + (0*j**4 - j**4 + 6*j**4)*(0*j + j + j).\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 + 92 = 0. Let q = h - 53. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b7b (base 14) to base 6.\nAnswer: 14253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 22 - 2 = 0. Let o be -10 + 3 - (-2 - 5 - -4). Put o, -162, c in ascending order.\nAnswer: -162, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 604\/(-903) - 8\/(-12). Let t = m + 6628\/2709. What is the common denominator of t and 95\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30025.18 and -23.\nAnswer: -30048.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 76 = -58. Let k be -7*-3*8\/84. Suppose -l = a*l, -5*l = -k*h + 20. What is the remainder when h is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57521.71ml in litres?\nAnswer: 57.52171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17973 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, f: 2}. Give prob of picking 1 f and 3 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31589866?\nAnswer: 2, 7, 11, 205129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from fffgfgjjjgjfiffj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/3*89*1. Let l = 150 + h. Calculate the remainder when l is divided by (-275)\/(-13) - 116\/754.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 834\/13 + -64. What is the nearest to 2\/5 in -2, s, -0.1, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 60313?\nAnswer: 5\/60313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/(-315) - (-3)\/(81\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13161072 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3\/9 + 2245*n**2\/9 + 4463*n + 20043 = 0?\nAnswer: -2227, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*x - 1164, 3*x + 3*w = 1095 + 57. Suppose 36*o - 49*o = -104. Suppose -x - 1206 = -o*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 800\/240*(-2 - 7\/(-2)). Solve -4*h + r*c + 13 = -0*h, 5*h = -3*c + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*g**2 + 16*g**3 + 626*g**2 - 309*g**2 - 11*g**3.\nAnswer: 5*g**3 + 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = 19659 - 19551 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133 - -164. What is the remainder when n is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*s + 41*s. Put s, -4, 4, -3 in decreasing order.\nAnswer: 4, s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 3*a - 6, -6 = 4*a + 2*m. Put 1, 186, a in increasing order.\nAnswer: a, 1, 186","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2701.7 + -2534. Let f = v - 168. What is the closest to 2\/5 in 18, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {b: 3, l: 1, c: 1, o: 1, f: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1716458 to two dps.\nAnswer: 3.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1508193mg?\nAnswer: 150819.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -7.63632, 36, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9519067717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 6:27 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 313 + 0.05\nAnswer: 313.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((((g\/(g\/(g\/(g\/(g**3\/g)))))\/g)\/g)\/g)*g)\/g)**(23\/5)\/(g*g**8*g\/(g**(-1\/21)*g)) assuming g is positive.\nAnswer: g**(16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3593228, 7186401, 10779574, 14372747?\n\"Answer: 3593173*w + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6239386 to the power of 1\/2, to the nearest integer?\nAnswer: 2498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -4*t**5\/5 + 8*t**4 - 32*t**3 + 64*t**2 - 64*t + 6. Factor z(a).\nAnswer: -4*(a - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880 = -p + 432 + 429 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -92*m. Let p(n) = 6640054*n. Determine p(b(c)).\nAnswer: -610884968*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 133056?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 179 = -149. Solve -49 = -c - 3*m - 45, t*c - 6 = -3*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 2)*(-5*m - m + 5*m)*(-21*m**2 - 25*m**2 - 49*m**2) to q*m**2 + r + x*m**3 + j*m and give x.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 6*d - 18, 3*d - 14 - 10 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 13) in base 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 33 - 18 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -3256338301221.\nAnswer: -3256338301220.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17783*u**3 + 9*u**2 + 2*u - 24. Let j = -232 - -239. Let n be g(j). Round n to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257698124 to the power of 1\/4, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10339626 by -33.\nAnswer: -313322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -80.46*-0.47\nAnswer: 37.8162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*y - 69*y - 190. Suppose m - 3*r + 16 = 0, -4*r + y = -6*m + 7*m. Which is the smallest value? (a) 3\/5 (b) m (c) 2\/57 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 143697?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1012 and 2530.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 3 - -4) + -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 y when four letters picked without replacement from {u: 1, f: 3, y: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1573 and 1001?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**3 + 6*l**3 - 8*l**4 + (2*l**3 + 0*l**2 + 0*l**2)*(2*l - 3*l + 4*l) as s*l + z*l**3 + r*l**2 + a + g*l**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 - 67530*s + 11996577\/2.\nAnswer: 3*(s - 44931)*(s - 89)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*b**3 + 127*b**3 - 2*b**4 - 16 + 3*b**2 - 2*b**2 - 2*b**2 to g*b**2 + q + j*b + w*b**4 + l*b**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:48 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1644*u + 1 + 1321*u in the form t*u + v and give t.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 8. Let z(a) = 1. Let v(q) = -l(q) + 6*z(q). Let j be v(2). Suppose -u - 5*x + 49 = j, -4*u + 4*x + 69 = -127. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -47 (c) 23 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h. Let o(z) = 3*z**2 - 2*z - 1. Give -2*j(c) + o(c).\nAnswer: 5*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -7653475564 to the nearest one hundred thousand.\nAnswer: -7653500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 806452*n + 1612900.\nAnswer: (n + 2)*(n + 806450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/((-138)\/368). Solve 4*n + 12 = -2*b + 3*n, 4*b + j*n = -32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (-1 + sqrt(245) + 3))*4 - (-1 + sqrt(245) + sqrt(245) + 1 + sqrt(245) + -6*(sqrt(245) - sqrt(245)*-1) + sqrt(245)))**2*-1.\nAnswer: -15744 + 896*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -388, -3027, -10176, -24091, -47028, -81243, -128992?\n\"Answer: -376*n**3 + n**2 - 10*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from gkgkkgg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) - (-11)\/(-3). Let k be (-9 + 9)\/(2 + u). Suppose -5*p = -3*j - 66, -p + k*j + 2*j = -16. Calculate the remainder when 93 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 3*t - t - t + 2*t - 3*t + (-4 + 3 + 0)*(-2*t + 4*t - 3*t) + 2*t + 0*t - t + 2*t + 0*t - t)*(2 - 7 + 3).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1728 + 1728 + 482*j**3.\nAnswer: 482*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 3*d**2 + 2 - d**2 - 2 + (1 - 1 + 2)*(-d**2 + 3*d - 3*d) - 3 + 3 + d**2 + 3750*d - 3750*d - 404*d**2.\nAnswer: -403*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 11) in base 5?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 6 = 2*o + 1, 5*v = 5*o + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 787948898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.99 - 24.892. Which is smaller: -0.11 or x?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2, 1, 252.\nAnswer: -4, -2, 1, 4, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23234, -92974, -209206, -371930, -581146?\n\"Answer: -23246*h**2 - 2*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 18*w - 67. Let c be x(-13). What is the nearest to -0.1 in 140, 1\/9, -4, c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2308009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c - 261. Let p be i(39). Does 13 divide 18\/(-30) - -391*p\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/9)*c*c)**(-8)*c**(-4\/5)*c\/c**(2\/39)*c assuming c is positive.\nAnswer: c**(-19088\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386233864 - -0.1135.\nAnswer: -386233863.8865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3374 = -94*x + 5724 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*u + u, -4*u = -20. Let d be (1*-1)\/(y\/25). Let m be (-10)\/d*10\/(-8). Which is the nearest to 0.2? (a) m (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkqkkkkqrrqqqkkr. What is prob of picking 1 q, 1 k, and 2 r?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-15 - (-3 + 4)) - -39.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -1464*d + 1462*d - 10, 8*a + 2*d + 10 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -376*m**4 - 888 wrt m.\nAnswer: -1504*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-9))\/(16912\/1510)\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43285 - 21084. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.060916 litres?\nAnswer: 1060.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25699 = -351*g - 811*g - 5675 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0 + 0*v**4 + 1\/10*v**5 + 36*v + 0*v**3 + 21*v**2. What is the first derivative of s(k) wrt k?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**6\/360 - a**4\/4 + 4*a. Let d(n) be the third derivative of q(n). Let f(g) = 21*g. What is f(d(u))?\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/147? (a) -1 (b) -3584 (c) -21 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1348*f - 45 = -1363*f. Solve -h = 4*b - 18, f*b + 43*h - 10 = 44*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-6)*1*(30 + -32). Let c(b) be the first derivative of 1\/3*b**4 - 1 - 16\/9*b**3 + 0*b + f*b**2. Factor c(o).\nAnswer: 4*o*(o - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -26. Let t be 2\/6*(w + 2). Suppose -60 = 7*i + 5*i. Sort -2, i, t in descending order.\nAnswer: t, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106.7 + -72. Round a to zero decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/25)*p\/(p*p*p**(2\/41)*p)*(p\/p**(-10))**2)**(2\/37) assuming p is positive.\nAnswer: p**(42786\/37925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, y: 2, m: 4, o: 4, p: 1}. What is prob of sequence oymo?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22478814 divided by 85797\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2. Let y be (1\/(-1))\/(-4) - (-654738)\/408. Let k(d) = -1605 + y - d. Calculate k(n(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 2*w - 2*w)*(-45*w - 63*w - 20*w) + (0*w - 4*w + w)*(-w + w + w**2).\nAnswer: -259*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -5*q + 40. Let m(t) = t**3 - 5*t**2 + 12*t - 8. Let w be m(4). Let l = w - q. Solve 2*z - 4 = -4*u - 2*z, 5*z - l = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5826, 5826, 5828, 5832?\nAnswer: 5838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124105 (base 7) to base 9.\nAnswer: -34534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79793 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - -0.03. Let d = -137 + 136.97. Which is the second smallest value? (a) t (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + x**2 - 2. Calculate n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/10 + 29*h**5\/20 + 7*h**4\/8 - 1429*h**2. Determine z, given that n(z) = 0.\nAnswer: -7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 + 11*m + 554. Let h(z) = 14*z**2 + 24*z + 1111. What is -4*h(l) + 9*p(l)?\nAnswer: -2*l**2 + 3*l + 542","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-14) - (-60)\/42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -10. Differentiate y - 4 - 10*i**3 + 7*i**3 wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 111296?\nAnswer: 1224256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-70))\/(3\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1237.1 + -1237. Which is smaller: u or -4503?\nAnswer: -4503","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 210*f**2 + 17381*f - 17381*f - 51*f**2 to s*f + l*f**2 + j and give l.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1914329, -3828656, -5742981, -7657304, -9571625?\nAnswer: -11485944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 28*i**3 + i**2 + 2*i - 2. Give h(2).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*t + 106*t**2 + 47 - 69 - 20 + 42.\nAnswer: 106*t**2 + 54*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + (sqrt(66) + (sqrt(66) - sqrt(66)*-2))\/sqrt(6) - sqrt(11)) + 4.\nAnswer: sqrt(13)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*q + 208388 - 1981197 = -102525. Does 58 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1659 = 3*h + 4*i - 7*i, 3*i = 2*h - 1110. What are the prime factors of h?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -89 (b) -1 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxgjuolo. What is prob of sequence jo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/2*(-4 - -7 - -3). Suppose m*h - 37*h = 6. Which is the second smallest value? (a) h (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.58640197605 + -0.395.\nAnswer: -0.98140197605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ckcwknkwnwwycwcwwt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168309\/(12\/4) - (-5 - (-17 - -10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1372)\/(-56)*4\/(-7)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/7))\/s*s\/s**(6\/11)*s*s**6*s\/s**(-4)*s)**20)**(-6\/25) assuming s is positive.\nAnswer: s**(-4920\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + (3 - 29))*(0 + -22) + 2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8239 + -8236. What is the closest to -1.79 in 5, -0.5, 2, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*r**5 + 80460*r**4 - 163467*r**3 + 86190*r**2 - 3024*r = 0. Calculate r.\nAnswer: 0, 2\/53, 1, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35 - -36)\/((-2)\/(-14)). Let q(p) = p + 1. Let y(r) = -2*r - 26. Let z be y(-11). Let h(l) = 2*l + 1. Give d*q(o) + z*h(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(5 + 152*r**3 - 152*r**3 - 4*r**4) + (r**3 - 2*r**3 + 2*r**3)*(0 + 0 - 3*r) to the form h + p*r + l*r**2 + t*r**3 + k*r**4 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v**(-3\/22)\/v)\/v)\/v)\/((v*(v\/v**(-1\/5)*v*v*v)\/v*v*v)\/v))\/(v*v\/(v\/v**(-20))*v*v*v*v\/((v*v*v\/(v*v\/(v*v**(1\/6))))\/v)) assuming v is positive.\nAnswer: v**(1457\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13514 - -13511. What is the biggest value in n, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -22. Suppose 0 = o + 2*o - a. Is (514\/(-3))\/((-2)\/o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - 5*j**2 + 6*j - 27. Let w be u(3). Which is bigger: w or 16\/167?\nAnswer: 16\/167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = 0, -2*h + 7*m - 8*m + 153 = 0. What is the highest common divisor of h and 869?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-5))\/((-4)\/(-10)). Suppose w - j = 3*w. Let y(t) = -2*t. Let r be y(w). Solve -r*i + 8 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16883.\nAnswer: 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:48 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1801 - -2120.11. Round k to zero dps.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -651490241 + 0.04.\nAnswer: -651490240.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -404 (base 11) to base 14\nAnswer: -26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6462 - -11639. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271.79 + -271.72. Which is the closest to u? (a) -0.3 (b) 0.4 (c) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from dmymyfdsmydkmmf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 493, 609, 725, 841, 957, 1073?\n\"Answer: 116*x + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-3)\/3 + -2). Suppose 0 = 2*q + 2*p + 6, 2*p + t*p = 5*q + 15. Which is smaller: -5 or q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h - 8. Let u be 2 + h - 34 - -2. Let t = 131 + u. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j + 7. Calculate x(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19178?\nAnswer: 2, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/548 and 139\/108.\nAnswer: 14796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7899109.\nAnswer: 101, 197, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 15. Let q be y(13). Let t be (-4*4\/8 + 2)\/q. Suppose b + 3*b = 3*i + 4183, t = -i - 5. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48621259.8 rounded to the nearest 1000?\nAnswer: -48621000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 163*j + 6. Is i(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - 562506365.\nAnswer: -562506387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {b: 2, y: 2, g: 2, w: 2, r: 5, z: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 560*m**2 - 1106*m + 5. Is v(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -7. Let w(t) be the first derivative of -3*t**2\/2 + 7*t - 28. Give w(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73125 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*z**3 + 19*z**3 + 85*z**3 + 138*z**3.\nAnswer: 869*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/17492576 < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96478.\nAnswer: 2, 48239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxx when three letters picked without replacement from {y: 5, x: 7, g: 8}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - -130. Let q = j + -158. What is the second smallest value in -1, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-2 - -5) - ((33 + -19 - 3) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 10*k**3 + 27*k**3 + 20*k**2 + 13*k - 12*k**3 = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/5 + 19418*x**3\/5 + 58242*x**2\/5 + 58238*x\/5 + 19412\/5 = 0?\nAnswer: -9706, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -1, -9 in decreasing order.\nAnswer: 4, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t = n - 30, 0 = n + t. Suppose 7*z - 3*z = 4, n*z = w - 1. Let s = w - 5. Which is the second smallest value? (a) -1\/10 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17565503, -35131034, -52696565?\nAnswer: -70262096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -126571408 in descending order.\nAnswer: 2, -2, -126571408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -4 - (2 - 0). Let v(k) = 21*k**2 - 1. Let f be v(c). Suppose 4 = -4*g + f. Let o(t) = -t**3 + 4*t**2 + 1. Give o(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 161.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 a when four letters picked without replacement from vvaav.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 14. Let q(n) = n + 7. What is the units digit of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 - 31*r + 16. Let w(v) = v**2 - 6*v + 3. Suppose 4 = -0*z + 2*z. Let d(m) = z*p(m) - 11*w(m). What is d(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 - -106. Is (2518 + (5 - h))*1\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 38480880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mcbbmmmhmhhhbsm.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 4:26 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8677 or 8675?\nAnswer: 8677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/7)\/g**6)\/((g**6*g)\/((g*g**(2\/3)*g)\/g*g)) assuming g is positive.\nAnswer: g**(-220\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaihiai. What is prob of sequence ia?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0207 and 4.16.\nAnswer: 0.086112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 897, 1, -236, -4\/5?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 187*q - 191*q + 4. Which is smaller: 2\/25 or q?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -k - 12, 2*k + 1423*z - 1418*z + 6 = 0. Let y(u) = -45*u - 357. What is y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37262.\nAnswer: 2, 31, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3931224 divided by 1965612?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 + 32*v - 224 + 117)*(v**2 + 7*v**2 - 4*v**2).\nAnswer: 128*v**3 + 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34919, -70101, -105565, -141305, -177315, -213589?\nAnswer: -250121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179402*b**3 - 289*b**2 + 2883*b + 13826 wrt b?\nAnswer: 1076412*b - 578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 + -108.0033. Round a to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-8)*g)\/g**(1\/8)*(g*g**(6\/13)*g*g)\/g**(-6\/13) assuming g is positive.\nAnswer: g**(1435\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 276847, 553687, 830497, 1107271, 1384003, 1660687, 1937317, 2213887?\n\"Answer: -i**3 - 9*i**2 + 276874*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156240 (base 10) in base 12?\nAnswer: 76500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -29. Let h = -8 - n. Suppose 0 = -3*q + m + 30, q - 5 = m + m. What is the remainder when q is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -45. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.41003 + -0.08529\nAnswer: 0.32474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 833928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14409.3 + 13816. Let i = 594 + p. Which is the closest to -1\/2? (a) i (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4 - (-7144)\/(-722)) + 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**4*m - 2*j**2*m**3 - 121*j*m**2 - 136*m**3 wrt j?\nAnswer: 8*j**3*m - 4*j*m**3 - 121*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 - 29 = 5*i, -i - 4 = 0. Solve 2*z - c*l = -1, 0 = -5*z + 3*l - 7*l + 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at least as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -164\/9 (b) 0.03 (c) 2.7453\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 40*m. Let t be h(1). Suppose 2*i - t = -12. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s + 30*s - 15*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215 + 219. Sort x, -14, -3, 0 in ascending order.\nAnswer: -14, -3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3026*f + 865395. Calculate j(286).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyyl when four letters picked without replacement from ylyllyyy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(704) - sqrt(704))**2 - (sqrt(66)\/sqrt(6) + -5)) + (-4*4*sqrt(1100))**2*5.\nAnswer: -sqrt(11) + 1414341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 42. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1900572 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**3\/5 - 75*r**2 + 11178*r\/5 - 6048 = 0?\nAnswer: 3, 42, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108552 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)*p*p*(p\/(p\/((p**2\/p)\/p))*p)\/p)\/(p**(-6)*p*p**6))\/((p**(-1\/3))**(-13)*(p\/(p*(p**(2\/13)\/p)\/p))\/(p\/(p*(p\/p**5*p)\/p))) assuming p is positive.\nAnswer: p**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2533804580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304022?\nAnswer: 2, 71, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((3 - -2) + -7) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - 5. Is -36 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*x = 8, h - 10 = -0*h - 4*x. Suppose h*b = 7*b - 25. Solve 0 = w + 1 - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78154618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*m, -3*s + 3*m + 7 = -m. Suppose 0*o + 3*o = -3*y + 303, -217 = -2*y - s*o. 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 the next term in 2027, 4137, 6247?\nAnswer: 8357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(2299)*-2 - (-2 + sqrt(2299)*-1 - sqrt(2299)))**2.\nAnswer: 616*sqrt(19) + 450608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/6 + (-2)\/(-3). Suppose -3*y - a*k = -100, 0*k - k = -2*y + 85. Let u = y + -27. Calculate the remainder when 38 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-832)\/(-260))\/((-6)\/(-15))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1457, -1472, -1503, -1556, -1637, -1752?\n\"Answer: -c**3 - 2*c**2 - 2*c - 1452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48903444665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*o - 33*o + 2*o + 162*o - 23*o - 79*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 9*c + 14. What is q(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2641800 by -4.\nAnswer: 660450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, -1, -3 in ascending order.\nAnswer: -11, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -374 and -92.3224618.\nAnswer: -466.3224618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 102032122131 (base 4) to base 2\nAnswer: 10010001110011010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36848.25 nanograms to kilograms.\nAnswer: 0.00000003684825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15101 - 151133\/10. Let y = -989\/36 - -329\/9. Find the common denominator of y and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2 + 6 = 2*d, 1 = -4*d - r. Solve 2*z + 0*z + 4 = d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -752245*j - 39931.\nAnswer: -752245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 25 = 0, 2*f = 4835*l - 4838*l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 39*m**2 + 4*m - 3. Let s be l(1). Suppose -3*v - s = -175. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 13*x**2 + 2. Let y be h(13). Suppose -5*b + 0*b = 5*r + 190510, y*r + 76198 = b. What is r rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4, -3*m - 8 = -4*m - 4*v. Factor 0*q + 2\/5*q**2 + 2\/5*q**3 + m.\nAnswer: 2*q**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819766 is divided by 136625?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -12*d - 105. Calculate the remainder when 23 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 28 + 17 = 0. Solve -3*w - k = 0, 0*w = u - 3*w - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14250797 or 14250776?\nAnswer: 14250797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1277516 days?\nAnswer: 11037738.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -498c0 (base 13) to base 14\nAnswer: -37565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*b - 0*b, 5*w + 2*b + 46 = 0. Let s be 12\/w*-4*(-1)\/(-39). Put 0.4, -2\/9, s in descending order.\nAnswer: 0.4, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 + (15 - (10 - -5 - 4)) + -19?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 162264 divided by 13\nAnswer: 162264\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 12*h + 11. Let g = -43 + 52. Is 3 a factor of o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 768 = 6*i. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 143400.\nAnswer: 1577400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqa when three letters picked without replacement from {a: 1, q: 8, s: 7, r: 1}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -8 - (4 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/2 - 28790*l - 57578 = 0. What is l?\nAnswer: -57578, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 29. Let p = g - -35. Which is smaller: 2\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.6*-0.0043305\nAnswer: 0.0762168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364711 divided by -3?\nAnswer: -788237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 10*h**2 - 8*h - 15. Let m = -4 - 7. Is 30 a factor of f(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b - 1. Let y(f) = 2*f**3 + 2*f + 1. Give -4*x(k) - 2*y(k).\nAnswer: -8*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*q = -8, 2*z + 3*q = 4*q + 16. Let c be -3 - (-3 - (-9)\/(-3)). Suppose z = g + c. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/4 + 1827*d**2\/2 - 1836*d - 7320.\nAnswer: 3*(d - 4)*(d + 2)*(d + 1220)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/9 + 3350*q**2\/9 + 3353*q\/9 - 2234\/3 = 0. Calculate q.\nAnswer: -2, 1, 3351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 726, 1563, 2518, 3603, 4830, 6211, 7758, 9483?\nAnswer: 11398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*t**5 + 0 + 24\/5*t + 8\/5*t**4 - 8\/5*t**2 - 26\/5*t**3 = 0. What is t?\nAnswer: -6, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + 4*(sqrt(14) - sqrt(28)\/sqrt(2)))*2*-1)\/(-1*-2*sqrt(448)*-3).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 4:22 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 4 - 45*j**2 + 21*j**2 + 4*j + 23*j**2 to b*j + q*j**3 + o*j**2 + f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -27692 to the nearest one hundred.\nAnswer: -27700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -64. What are the prime factors of p\/(-24)*45\/2?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*n - 50, n + 18 = -5*w + 43 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3571978.95999998 + 3571979. Let f = 0.04 - q. Round f to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-35) + -1 + (-696)\/(-40). Calculate the highest common divisor of 782 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000016849 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0*j**2 + 0 - 21*j**2 - 1 - 73*j**2.\nAnswer: -94*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*u**3 - 51*u**2 - 7 - 547*u**3 + 7 + 10*u**2.\nAnswer: u**3 - 41*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 - 51 - 5*a**3 - a**2 + 95 to p*a**2 + o*a + g*a**3 + x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 335180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*m**3 - 66253928*m**2 + 3*m**3 + 66253928*m**2 + 58*m**3.\nAnswer: 270*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 57 + 0*f**3 + 164.\nAnswer: -2*f**3 + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*g - 3*r, -3*g - 7 = -r - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 808304.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3267*d = 3499*d + 6496 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18469.2 * -7\nAnswer: -129284.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -879 (base 10) to base 13\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46641 + -46639. Factor -81\/2*z - 87\/2*z**j + 3.\nAnswer: -3*(z + 1)*(29*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 9. Let z be l(11). Let j = z + 0. Let b(v) = -3*v - v**3 + 7*v + v**2 + 2 + j*v**2 - 6. What is b(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 24 = -6. Suppose -q + 40 = -f. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10343158 is divided by 6017.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 19. Let n be (-8)\/(-28) + 33\/t. Let z = 11 + -7. Sort z, 3, n.\nAnswer: 3, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -10. Let z(l) = l**3 + l**2 - l + 1. Let i be z(c). Let g = 9 + i. What is the least common multiple of g and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18380, 18378, 18376, 18374?\nAnswer: 18372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s. Let f(m) = 544*m**2. Calculate f(n(h)).\nAnswer: 13600*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4657 is divided by 124.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*a - 94 - 321 = 0, -y + 2*a + 412 = 0. Let n = y + -1051. Is -8 + 4 - 0 - n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)\/y*y\/((y**(-2\/9)\/y)\/y))\/(y**(5\/6)\/(y**(-1)*y*y*y)))**(1\/4) assuming y is positive.\nAnswer: y**(25\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250 + -254. Which is the nearest to -0.1? (a) q (b) 0.06 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/3 - -1)\/(2\/(-48)). Solve y = 3*k + k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 smaller than -159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3249225251.\nAnswer: 3249225251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15903 and 1085.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 9 = u, -3*u + 2978 = -11*c + 2926 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1051 = -3*a + 215. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 503\/6 - 84. Which is the nearest to 1? (a) 3 (b) v (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -4. Suppose -4*k = -k - y. Solve k*x + 3*x = 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvqumuufeuvuu. Give prob of sequence uuvf.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -847*q + 249*q**5 + 11*q**3 - 11*q**3 + 955*q wrt q.\nAnswer: 4980*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + 1.95. Suppose -3*h + 12 = -6*h. Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146704, -146493, -146282, -146071?\nAnswer: -145860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -8. Let d = 10330 - 10270. What is the remainder when d is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/3190 and -71\/1524820.\nAnswer: 1524820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5\/4)\/u)\/u)**(-4\/27)*(u**(-20))**27 assuming u is positive.\nAnswer: u**(-14567\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 15, 0*o - 4*q = 4*o - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1\/4 (b) 1 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + -24 + 17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1183*d - 1260. What is the units digit of u(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1. Let p(l) = l - 19. Let a(d) = -p(d) - 2*s(d). Suppose -w - 5*g = 3*w - 9, -4*w + g = -27. Calculate the lowest common multiple of w and a(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 90 = -5*q, 4*q - 2*f + 60 + 14 = 0. Let i = 2 - q. Calculate the highest common divisor of i and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 30. Solve l - 2*l + 1 = x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b**3 + b**2 - 2*b + 7. Is p(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -30*d**3 + 12*d**2 - 258*d - 12. Let u(c) = 31*c**3 - 10*c**2 + 257*c + 10. Let w(m) = -5*j(m) - 6*u(m). What is the second derivative of w(i) wrt i?\nAnswer: -216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 10010110000?\nAnswer: -10010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 3}. Give prob of picking 1 i and 2 d.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 199657.4 grams?\nAnswer: 199.6574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 16*b**2 - 17*b - 25. Let s(h) = 5*h + 2. Let u be s(3). Let d be l(u). Let o = -5 - d. Solve 4*j - o = -0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12472 is divided by 1049?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 6. Let r be u(9). Let d(o) = -2*o**3 - 4*o**2 - 3*o - 3. Let x be d(r). Suppose 3*v - x = -3. Calculate the remainder when 19 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6342 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 - 11*n - 8. Let g(d) = 2*d**2 + 8*d + 3. Let z(k) = 3*k**2 + 15*k + 6. Let m(o) = 7*g(o) - 4*z(o). Determine 3*b(i) - 8*m(i).\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1556*b**2 + 1736*b - 1736*b.\nAnswer: 1556*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -35. What is the third derivative of 10*i**2 + 3*i**b + 13*i**3 + 0*i**3 wrt i?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 2. Let p(q) = -2*q**2 - q. Let n be p(-1). Let z = n + -3. Does 2 divide j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*r + 2. Let l = 10 - r. Calculate the highest common factor of l and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - d + 1. Let m(h) = 5*h**2 - 8*h - 5. Let a(x) = m(x) + 6*v(x). Let l be a(-14). Which is bigger: -2\/29 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13977*d**3*j**3 - 13*d**2*j**3 + 1141*j**3 - 7*j**2 - 6*j wrt d.\nAnswer: 41931*d**2*j**3 - 26*d*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azu when three letters picked without replacement from {a: 2, b: 6, u: 3, z: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2014 + -5?\nAnswer: -2019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 109*t**2 - 217*t**2 + 7*t - 5*t**2.\nAnswer: -113*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 6*k**2 - 11*k - 4. Let r = -23 + 16. Let q be v(r). Let f = q + -19. Solve 5*i + 20 = 0, f*i + 11 + 9 = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -305 - 19. Calculate the remainder when x is divided by 60 + -1*(16 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9715*l**2 - 114*l**3 + 9711*l**2 - 19426*l**2.\nAnswer: -114*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = 4*y. Let d(h) be the third derivative of 1\/8*h**4 + 0*h + 0*h**3 - 86*h**2 + 0 + 1\/120*h**6 + 1\/12*h**5. Determine d(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2. Let h(y) = 9*y**2. Calculate r(h(w)).\nAnswer: -81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (390\/60)\/(4\/8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 227, 455, 683, 911, 1139, 1367?\n\"Answer: 228*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 240.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - -64. Suppose -q = -7*m + 3*m + j, m - 43 = 4*j. Calculate the remainder when m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 47*w + 78. What is v(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65928171?\nAnswer: 3, 21976057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 + 5. Let m = l - 3.2. Which is the biggest value? (a) -4 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*s = -704*s - 969*s - 59459 - 9941 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -262, -286, -330, -400, -502, -642, -826?\n\"Answer: -a**3 - 4*a**2 - 5*a - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3285?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 130064401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9*x = 0. Let r be 1*((-15)\/(-6))\/(2\/4). Solve -h + 2*o - 10 = 0, 5*o - 35 = r*h - x*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 322*n**4 + 3*n - n + 7 - 321*n**4 to the form v*n + o*n**4 + y*n**3 + z + k*n**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-224)\/(-560))\/((-11)\/(-5) + -1). Let b(x) be the third derivative of -8*x**2 + 0 + 1\/6*x**4 - p*x**3 + 0*x. Differentiate b(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -347*l**7\/7 + 120*l**3 - l**2 + 1187*l. Find the second derivative of o(d) wrt d.\nAnswer: -41640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 19 = -7*a, 64*k = 5*a + 62*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x + 2*u + 890, 5*x - 1075 = -5*u. Suppose x*k - 222*k = 0. Solve k = 6*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1975 - 1975 - 23*o.\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1427\/(-33498)*(-2007)\/15. Let u = -1\/5583 - m. Find the common denominator of u and (-12)\/22*((-62)\/8 - -6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59409\/399 - (-4)\/38 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 6*q**2 - 6*q + 8. Let n be h(-4). Suppose -6*m - 15 = -3*m. Let j = m + 10. Solve n = a - j*a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(10\/8) - -8. Solve 0*f = f + s*j + 7, -4*j = -4*f + 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 9. Let j be y(5). Suppose 3*v + 3*k - j = 0, -4*v + v - 2*k = -8. What is the tens digit of 2\/1 + v*(-5)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001882 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54363232?\nAnswer: 2, 7, 11, 22063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.088 + -0.08799752. What is z rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7013.727 litres to millilitres.\nAnswer: 7013727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12800, 45890, 99274, 172952?\n\"Answer: 10147*g**2 + 2649*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -1\/8, 2\/21, -2 in decreasing order.\nAnswer: 55, 2\/21, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((x + x + 0*x)*(-3 - 3*x + 3) + x**2 - 5*x**2 + 2*x**2)*(88 - 15 - 6886*x - 25 - 48) to the form g*x**2 + f*x**3 + q*x + v and give f.\nAnswer: 55088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1163, 2321, 3477, 4631, 5783, 6933, 8081?\n\"Answer: -a**2 + 1161*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 1, l: 5, w: 3, n: 1, j: 3}. What is prob of sequence jvo?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: e6 (base 16) to base 5\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.2 - -0.8. Let y be (-4448)\/56 + (-8)\/14. Let q = 84 + y. Which is the closest to q? (a) -1\/4 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173 by 276.\nAnswer: 173\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 9. Find the common denominator of 1 + 10 + -33 + 42 and 388\/(-30) - i\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10636 + 18526. List the prime factors of r.\nAnswer: 2, 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, -15, -23, -31, -39, -47?\n\"Answer: -8*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 - 16*m**2 - 143*m - 2 wrt m.\nAnswer: -12*m**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 18*x - 49. Let p be u(-4). Calculate the greatest common factor of 133 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 379708.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f = -12*f - 105. Solve 2*z - f*n = 5*z + 34, -3*z + 5*n + 16 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 5, d: 4}. Give prob of sequence ead.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 558.04\nAnswer: -563.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 7*b**6\/40 + 41*b**5\/80 + b**4\/2 + b**3\/6 + 10*b + 4. Let m(x) be the first derivative of w(x). Find p, given that m(p) = 0.\nAnswer: -1, -2\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m - 101. Let c be j(7). Solve -5*p = -c*w - 2, -2*p = -5*p + 3*w + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 51*x + 1. Let h be o(-1). Let t = 58 + h. Solve -16*l**4 - 5*l**3 + 4*l**5 + 23*l**3 - 20*l - 2 + t*l**2 - 2*l**3 + 10 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.43666 meters in centimeters?\nAnswer: 6743.666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juul. Give prob of picking 1 l and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - z**2\/3 - 2*z.\nAnswer: z*(z - 3)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-49) + (-40)\/(-7). Let b be (5\/(15\/q))\/(-7). Put -0.5, -3, b in descending order.\nAnswer: b, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/22 and -15\/57959.\nAnswer: 115918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**(-1\/6)))**(-9)*(a*a*a\/(a**(-9)*a)*a)\/a**(6\/17) assuming a is positive.\nAnswer: a**(753\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 99523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 304*g**2 + 6444*g + 30456.\nAnswer: -4*(g - 94)*(g + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.05 - -3.02. What is the nearest to 1 in -3, -0.2, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -231636 - -12?\nAnswer: -231624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -115b - -2?\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8671.108mg to nanograms.\nAnswer: 8671108000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -311.767 + 312. Let z = d - 0.23300196. Round z to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 14*b - 156. Calculate the common denominator of (-1)\/(32\/b) - 0 and 85\/82.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + 5*(2 + sqrt(567)) + -5)*-1 + -5)**2.\nAnswer: 1080*sqrt(7) + 14319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r - 15*r**2 - 12 - 17*r**2 - 24*r + 140 + 0*r**2 + 4*r**3.\nAnswer: 4*(r - 8)*(r - 2)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599, -2843, -6581, -11813, -18539?\nAnswer: -26759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 48, 18, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -10*f**3\/3 - 178. Let t(a) = -8*a. Give q(t(l)).\nAnswer: -640*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 307*n**2 - 2*n + 2. Let u(i) = -i. Let k(l) = -7*l + 10. Let c(y) = -k(y) + 6*u(y). Let a be c(11). Is p(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 311, 460, 607, 752?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/405902 and 149\/145992?\nAnswer: 53579064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 2. Let y be x(0). Let m = y - 0. Find the common denominator of -143\/12 and 545\/(-150) - m\/(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r - 1. Let b be p(-5). Is b >= -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s + 155 = -5*a, 4*s - 60 = 2*s + 5*a + 95 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, -13, 0.02 in decreasing order.\nAnswer: 0.02, -0.1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_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: What is the next term in 265, 397, 735, 1375, 2413?\nAnswer: 3945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h - 1. Let n(l) = l**2 - 2*l - 5. Let b = -6880 + 6882. Calculate b*g(c) - n(c).\nAnswer: c**2 + 4*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, s: 6}. What is prob of sequence yy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 47*k**2 - 21. Let x(j) = j. Give x(h(v)).\nAnswer: 47*v**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2631*m + 1317*m + 1890*m**2 + 1317*m + 628*m**2 - 457*m**2 in the form d*m**2 + s + b*m and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6081, -12243, -18409, -24579, -30753, -36931, -43113?\nAnswer: -49299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - p**4 + 0*p**2 + (-12*p + 53 - 53)*(p**3 + 2*p - 2*p).\nAnswer: -13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, -0.4, 5\/3, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2. Let x(p) = -1500 - 2*p**2 + 1500 + 60*p. Determine x(g(z)).\nAnswer: -18*z**4 - 180*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-41)*(i\/(i*i*i\/(i*i**(2\/3)))*i)**(-16) assuming i is positive.\nAnswer: i**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -2 + sqrt(17) + 4 + -4 + sqrt(272) + sqrt(136)\/(sqrt(128)\/sqrt(4) - sqrt(8)))**2.\nAnswer: -28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tetettmtteeeetetetw. Give prob of sequence mew.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from bbfmqtt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hghggngggzwggb. Give prob of sequence wgbn.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*p*q - 184019*p - 212831*q + 6 with respect to q.\nAnswer: 19*p - 212831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-74)\/(-6)*(-676299 - -9). Let o = -11890089 - b. Let u = 5929179 + o. Round u to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682217657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/33 + (-97)\/(-11) - -1. Does 17 divide 44578\/155 - ((-4)\/a + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 3*s**4\/4 - s**2 + 2*s - 17. Let a be m(1). Solve 0 = 2*r + a*y - 19, -2*r - 2*y + 13 + 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 8 = -2*w, z + 10*w = 12*w + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 695352 and 14?\nAnswer: 695352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2524 = -568*l - 23864 - 26436 for l.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (-3 + 0 + sqrt(1700) + sqrt(1700))**2 + (0 + sqrt(1700))**2 + 3).\nAnswer: -120*sqrt(17) + 8517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from scssbcsbbswscwfrrrb.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 11433950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iggrgooniiirggiogg. What is prob of sequence orig?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 54. Let a be ((-8)\/16)\/(c\/(-8)). Solve a*p - 4*r = 0, 5*r - 1 - 1 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-5)\/(125\/(-48)). Put 3, 1\/2, -3\/4, i in descending order.\nAnswer: 3, 1\/2, i, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1020902023 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 40\/110927?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-4) + 10\/(-20). Suppose -3*m - 9 = 4*p - 5*p, k*p - m - 14 = 0. Solve 5*w - p = 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5437426 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5114 divided by -8?\nAnswer: 2557\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2385*w**3 - 4804*w**3 + 2418*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*q - 6*q + 2*m, 4*m = -2*q + 14. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/10)*n*n**(-3)\/n assuming n is positive.\nAnswer: n**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 1141*n**5\/60 - 4165*n**3\/6 + 9*n**2 - 65. Find the first derivative of i(d) wrt d.\nAnswer: 2282*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96.8 - -83.34. Let v = k - -14. Round v to two dps.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483 divided by 161.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 10 = -x, -6*z + 2*x = -10*z - 36 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3669*q - 269925 = 3664*q. List the prime factors of q.\nAnswer: 3, 5, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4\/4 + 38237*a**3\/4 - 38235*a**2\/2 = 0.\nAnswer: 0, 2, 38235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1664011015.\nAnswer: 5, 23, 227, 63743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-198)\/(-63))\/(-11))\/((-2)\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 8*v**2 + 4*v - 2. Let o be f(8). Suppose c + 4*x = -0 + 6, 2*c - o = x. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 4. Let g(z) = -34*z + 65. Let q be g(3). Let v = q - -45. What is the remainder when f(-11) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000394391 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -207\/28 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 20*n + 15. Let w be q(0). Solve -11 + w = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqtfqfxozzxfzfqzo. Give prob of picking 1 t and 1 o.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*p - 24, -5*p = i - 46 + 10. Let g = 11 - p. Solve -4*z + 4*d = -g*z - 1, 3*z - 4*d + 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 + 0)*1)\/1. Let c = 83 - 7. Let d = 530\/7 - c. Is q smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 30*i**2 + 81*i + 108.\nAnswer: -3*(i - 3)*(i + 1)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 3*b - 3*b + 2*b. Let t(z) = 14*z. Give t(d(a)).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 9 = 0. Let u(s) = 0 + s + 3*s + z*s**3 - 2*s + 1. Determine u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 4*f**2 + 2*f - 3. Let g(u) = 2*u**2 + u - 10. Let j be g(3). Let q(s) = s**2 - 12*s + 7. Let c be q(j). Calculate l(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {h: 1, q: 4, k: 8, y: 7}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -7. Put q, -5, 5 in ascending order.\nAnswer: -5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-15))\/((-4)\/(-2)))\/(1870\/4675)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 - (-49)\/(-14). Let b(q) be the first derivative of -q**2 - q + 2. Let j be b(z). What is the highest common factor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -398064508*c**3 + 332913866*c**2?\nAnswer: -2388387048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:02 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/2 + 5*m**3\/2 - 3*m**2\/2 - 17*m\/2 - 5 = 0. Calculate m.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29235*n**3 - 12046*n**3 - 13383*n**3)*(n + n - n) to l*n**4 + y*n + h*n**3 + g*n**2 + u and give l.\nAnswer: 3806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 - 0.13. Suppose 2*l - 4*k + 26 = 0, -3*l - 4*k + 3*k - 11 = 0. Which is the smallest value? (a) d (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 2:34 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {c: 1, j: 5, l: 2, n: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -30ab4?\nAnswer: 30aac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -18*j + 15*j. Let b = -33 - j. Solve -5*d + 21 = -2*q, -q - 4*d = -b*d - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -193 (b) -6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(1 + 2) + -5. Let r be 2\/6 - (-1)\/n. Suppose r = -3*t + 51 + 120. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**5 - 3*d**5 - 2*d**5 + 13*d**5 + 802*d**2 - 802*d**2 + 4*d**5 - 3*d**5 - 2*d**5 + (d**5 - 2*d**5 + 3*d**5)*(4 - 2 + 0))*(1 - 2 + 3).\nAnswer: 28*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3334 take away -953?\nAnswer: -2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 28*a**2 - 127*a + 29. Let u be r(-32). What is the nearest to -3 in u, -2, 0.17, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:20 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-1\/5)\/n*n)\/n)\/n)**39)**(2\/85) assuming n is positive.\nAnswer: n**(-468\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-6)*(-62370)\/14850\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1916*d. Let y(n) = 148*n. Give x(y(h)).\nAnswer: 283568*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.45 - -1.15. Which is the closest to -1? (a) -7 (b) -0.1 (c) -2\/5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26172 and 0.5.\nAnswer: 13086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 8*w**2 - 2. What is m(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14240.482 rounded to the nearest one hundred?\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -103\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -554 - 374?\nAnswer: -8c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53103.0489787 + -53103. Let k = 0.049 - v. What is k rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*g + 9. Solve -4*x + g = 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -65\/33, 4, -1?\nAnswer: -65\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-1)*(4\/(-38))\/((-1414)\/1919)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 14*l + 11*l + 3*l + 0*l. Let x(a) = -3 + 3 - 30*a. Determine z(x(q)).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saselsssseese. What is prob of picking 1 a and 3 e?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 - 6*b + 11*b + 25 + (4*b - 5*b + 3*b)*(-1 + 1 + 2) + b - 4*b + 2*b - 6*b + 4*b + 3*b.\nAnswer: 9*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -41, 0.2, 2\/3, -473?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Let s be b + -3 - 2 - 0. Let j(u) = -2*u**2 - 3*u - 2. What is j(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*498726\/2692620. Let m = -30\/2137 - l. Find the common denominator of m and -11\/160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/70*4)\/(8\/120)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 34 - 18 = 0. Let p(c) = -c + 13. Let t be p(13). Solve -s*q = -t*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 2. Let f = -0.13 + 5.13. Let m = -0.13389 + 0.09389. What is the closest to c in f, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 199684 = -32216. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (151 + 50 + 203)*(-3*q + 0*q - 2*q + (q - 3*q + 3*q)*(-3 + 5 - 3)) to the form m + t*q and give t.\nAnswer: -2424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -712.\nAnswer: -2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16\/25 (b) -0.1 (c) 0.1 (d) -4\/15 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 6 = -2*d + 5*s, -4*d - s = -164. Calculate the remainder when 58 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873 - -874 - ((-1 - (0 - 1)) + (5 - 42)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41803, -83754, -125703, -167650?\nAnswer: -209595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(612)*-4 - sqrt(17))**2 - sqrt(102)\/(-4*sqrt(486)).\nAnswer: sqrt(17)\/36 + 10625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*d + 1233, 7*d + 829 = 9*d + 5*g. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 488 = -4*v, -5*v = -14*b + 19*b - 2470. Calculate the highest common divisor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, u: 2, f: 6}. Give prob of picking 1 u, 1 p, and 1 f.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 4. Let u(a) = -a + 33. List the prime factors of u(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 8*c - 6. Calculate f(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from haahahhhddxhxhhh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-102)\/12*-2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + j + 1, 4*j + 21 = -26*t + 23*t. Is t > -20\/467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51403 - 1923?\nAnswer: -53126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 25, 36, 39, 28, -3?\n\"Answer: -y**3 + 5*y**2 + 5*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (81 - 78)*(0 - -5462)\/2.\nAnswer: 3, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 182818, 365628, 548438, 731248, 914058, 1096868?\n\"Answer: 182810*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/11 (b) 1041 (c) 5 (d) 0.1 (e) -3 (f) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/125)\/(2\/(-20)). Let i be 1\/(21\/(-13) + 2). Let s = i - w. Which is the biggest value? (a) -0.5 (b) -2\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 20, 161 in decreasing order.\nAnswer: 161, 20, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6463597.495583 and 0?\nAnswer: 6463597.495583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 776530 to the power of 1\/2, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, s: 10}. What is prob of sequence svvs?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-66)\/21)\/(30\/(-1680)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/5 - 1)\/((-4)\/(-2)). Sort d, 59, 3 in increasing order.\nAnswer: d, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 10 (b) 2\/5 (c) -5 (d) -0.20299 (e) 2 (f) -4 (g) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000918582236 to six dps.\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 5*t**9\/3024 + 7*t**6\/120 + 5*t**3 - 3. Let i(x) be the third derivative of b(x). Find the third derivative of i(a) wrt a.\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 328 - 761. Suppose -2*q + 3*p + 52 = 0, 5*q + 4*p - h = 7*p. Calculate the remainder when 88 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/(4*14\/(-308)*(-84)\/(-378))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-105)\/10 - -3)\/((-1)\/2). Calculate the highest common divisor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*d - 6 + 2, 3*n - 8 = -5*d. Suppose 0 = b + n - 3. Suppose -24 = -2*y - b. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:39 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a = 4 + 41 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64551677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 6. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*i + 60 = 3*f, 5*i + 20 = 0. Suppose 0 = x + x - f. Let b be -6 + -1 + 702\/108. Is x at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616 and 336.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**2 + 0*b**2 + 3*b**2 + 0*b**2 + 6*b - b**2 - b**2 + (-5*b**2 + 2*b**2 + 5*b**2)*(-3 - 4 + 5) + b**2 + 2 - 2 + 4*b**2 + 0*b**2 - 3*b**2.\nAnswer: -6*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.73592 rounded to 1 decimal place?\nAnswer: 50.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2 - 3 + 8 + q**2 - 13*q. Let f be o(12). Let m(g) = g**3 + 5*g**2 - 5*g + 11. List the prime factors of m(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f. Suppose 4*s - 3*l - 353 = 0, -5*s + 2*l + 122 + 321 = f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*y + 4*v, -7*v = -3*v + 4. Let i = y - -4. Suppose -2*z + i = 3*m, -2*m = 2*z - 13 + 5. Solve -w = 2*c - 7*c - 8, 5*c + 4*w = z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.04 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1181497ng in grams?\nAnswer: 0.0000000001181497","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*q + 18, 5*q - 2*p = 8*q - 13. Is q greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(4\/(-22))*-8. Let o be (35\/10 + -2)*8. Let w = o + s. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*g**3 - g + 137547*g**2 + 137556*g**2 - 274938*g**2 to f*g + x*g**3 + t + q*g**2 and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhttfhcctkc. Give prob of picking 2 t, 1 f, and 1 c.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:21 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 149*m + 216*m - 2 - 582*m + 210*m. Let i(p) = -70*p + 64*p + 1 - 3. Determine -4*i(g) + 3*v(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19017 times 0.3\nAnswer: 5705.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/7)\/g*g*g*g\/(g\/((g\/g**(-9))\/g))*(g\/(g\/(g**(-5)*g)))\/((g**(-7)*g)\/g) assuming g is positive.\nAnswer: g**(92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 53, 101, 149, 197, 245?\n\"Answer: 48*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(20)\/sqrt(5))*2 + -2.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4800 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/162 and (-3)\/2 + ((-1040)\/450)\/(-26).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13)\/2 + -1)\/(3\/6). Let g = 21 + i. Suppose -g*v - 8*v = -42. Which is the smallest value? (a) v (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) - (sqrt(2430)*-3 + sqrt(2430)))\/(sqrt(30)\/(sqrt(20)\/sqrt(4))).\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255794199.\nAnswer: 11, 17, 67, 113, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 18*k**2 + 1 + 15*k**2 - 25*k**2 + 3*k**2 to x + j*k + h*k**2 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 753a7 (base 12) in base 4?\nAnswer: 211223233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/5? (a) -10 (b) -1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 plus -0.10026?\nAnswer: -66.10026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 155. Let r = -18 + 20. Suppose 4*m + 34 = -r*t + 102, -2*t = -2*m - 38. What is the greatest common factor of j and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 127, 3, -5, 0, -3 in decreasing order.\nAnswer: 127, 8, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 3*l**4\/16 - l**3\/12 - 3*l**2\/8 + l\/4 - 19. Factor x(o).\nAnswer: (o - 1)*(o + 1)*(3*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 1600602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**4\/4 - 4*t**3\/3 - t**2 - 3*t - 1. Suppose -12 = 26*s - 23*s. Let q be h(s). Solve 6*m = m + q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*h**5 - 26*h**5 - 11*h**5 + 0*h**5 - 4*h**5 + 3*h**5 + (-4*h + 4*h - h**3)*(2*h**2 - 6*h**2 + 2*h**2) + (-3*h - 3*h + 5*h)*(-h**4 + 2*h**4 + h**4).\nAnswer: -13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**5\/12 - 205*o**4\/4 - 25215*o**3\/2 + 100*o**2 - 2*o. Determine m so that d(m) = 0.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.5 (b) -15\/16 (c) -17\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*w + w. Let l(p) = 27*p - w*p + p. Let b(s) = 798*s + 798*s - 1597*s + 2 - 2. What is l(b(y))?\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 37, 11.848.\nAnswer: -2, 11.848, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/161 + 475\/644. Let p = 41.8 - 42. What is the third smallest value in p, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 805691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*d + 102*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 12) to base 3.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**3 + 0*q**2 + 0*q**3)*(0*q + 2*q - 7*q) + 2*q**4 + q**4 - 5*q**4.\nAnswer: 8*q**4 - 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1107 times 5\nAnswer: 5535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/25, -3\/4, -4.51, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -m - 4*h, 3*m - 2*h - 2 - 16 = 0. Suppose -34 = -4*j - 2*p, m*j - 53 = j + 4*p. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 3*i**2 - i + 1. Give l(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*o + 11958 = -75*o + 2473 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v + 44. What is n(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-5 + (sqrt(1331) - (sqrt(1331) + 1)) - sqrt(1331))**2 - 6*(sqrt(1331)*-1 + 3)) + 2)*-2.\nAnswer: -2692 - 396*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556276127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896709811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 22 = -a, 4*a - a = -2*q + 10. Suppose -5*d = -2*o + a, 13 = -5*o + 5*d + 28. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2879427.\nAnswer: 3, 959809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6 = 0, 43*r - 48*r - 139 = -3*s. Solve s*u + 132 = 10*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 18*p - 5262. What is j(67)?\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36061278 by 1639149.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80313\/2 - -1*11\/2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5216.05 times 0.5?\nAnswer: -2608.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1029475, -1029385, -1029295, -1029205, -1029115?\nAnswer: -1029025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 + 4*t. Let l(f) = f**2 - f. Let r(w) = 4*l(w) + x(w). Let m(i) = 4*i**2. Determine m(r(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/15 - 22582*k\/15 + 45172\/15.\nAnswer: -2*(k - 2)*(k + 11293)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17654.0005 - -17654. What is the closest to c in -5\/2, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4256336\/9 or -472925?\nAnswer: -472925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 12) in base 2?\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -68. Let g = q - -97\/3. What is the closest to g in -2\/19, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -1, -5, 3\/5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27307, -27309, -27311?\nAnswer: -27313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2251*v**2 - 123*v**3 - 2251*v**2)*(56 - 3 + 88) as j*v**3 + t*v**2 + u + q*v and give j.\nAnswer: -17343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 1. Let g(n) = -2*n**2 - 5*n + 1. Let r(t) = g(t) + 3*z(t). Let u(a) = -55*a**2 + 0 + 30*a**2 + 24*a**2 + 1. Give r(l) - 4*u(l).\nAnswer: -l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*c + 2*c - 44 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9789, -9649, -9401, -9045, -8581, -8009?\n\"Answer: 54*y**2 - 22*y - 9821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-8452162.\nAnswer: 177495402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 15 + -7 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 2*v + 5*v)*(1 - 5 - 3) - 2*v + 0*v + 4*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -47418 (base 12) in base 2?\nAnswer: -10111010110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 18*d - 8. Let v be (6\/(-4))\/((-18)\/(-516)). Let b = 45 + v. What are the prime factors of u(b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - (4 + -8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 - 2031404?\nAnswer: -2031332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 143704376 to the power of 1\/3, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/375*(1 - -16). Let q = 3\/25 + t. What is the second biggest value in 7, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**3 + f**2 - 2*f + 2. Let k be a(1). Suppose -7*j - k = -9*j. What are the prime factors of j\/(-3)*(-52)\/(-4)*-10?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184971 by 3.\nAnswer: -61657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + w + 1. Suppose -2*v + 1 = -3*u, 4*u + 4*v = -0 - 8. Let r = -3 - u. Let n be l(r). What is the closest to 0.1 in 0, n, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 1893888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/5 + (3 - (-5310)\/25)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 3*v + 5. Let i be q(5). Let y(s) = 6*s - 7. Suppose -3*o + 12 = 3*o. Let w be y(o). What is the highest common divisor of i and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 - -166. Let x = 4 - -4. Suppose 5*v - 2*g - 89 = 0, -3*v + 5*g - j = -x*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(1\/2)\/g)\/g)*g**(-6)*g*(g*g\/g**(-3)*g)\/g*g*g\/(g**(-5)*g)*g)\/((g\/((g**2*g)\/g))\/(g**5\/g*g))**(-48) assuming g is positive.\nAnswer: g**(-559\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 - 2 = 0. Let b = -3 - i. Let a(l) = l + 10. Give a(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 3*y = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*s - 164, -3*s - 215 = -l - 4*l. Let u = l + -43. Let a be (30\/8)\/(-3)*u\/(-15). What is the third smallest value in 0.7, a, 0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 121337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 247\/78 - 3\/1. Let l(z) be the second derivative of 0*z**3 + 0*z**2 - 4\/15*z**6 - y*z**4 + 0 - 1\/2*z**5 + z. Factor l(o).\nAnswer: -2*o**2*(o + 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or 2487178?\nAnswer: 2487178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.088 - 2.088. Which is the second smallest value? (a) n (b) 148 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11a648 (base 11) to base 6\nAnswer: -4022340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*f + 5*f - 47, 4*f + 12 = 4*h. Differentiate 57*z - 1869 + 1905 + h*z wrt z.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/f**3))\/(f\/(f**(-2\/19)*f)))**45 assuming f is positive.\nAnswer: f**(3330\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2688 by -32.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.987, -3, -1\/2, 16?\nAnswer: 0.987","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 12. Calculate the remainder when 49 is divided by (v - -2)*(-8)\/16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16044667853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 23*d**2 - d**3 + 22*d**3 - 23*d**2 as s*d**3 + b + p*d + r*d**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*j - 36*j - 42*j - 34*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*s = 20, -4*c = 3*s - 6 - 4. Let w(i) = 4*i**2 - i + 2. Let x be w(2). Calculate the highest common divisor of c and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006271420325 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 13) to base 15\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -2*z. Suppose 33 = 18*v - 75. Put v, -5, z in decreasing order.\nAnswer: v, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12189 and 8466?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - u = -20*d + 24, -22 = -5*d + 3*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v - 17. Let c(r) = 5*r + 8. Determine -5*c(w) - 3*o(w).\nAnswer: 2*w + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17283460 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117458*g**3*k**3 - 3799*g**2*k - 2*g**2 - 5*g*k**3 - 2*g wrt g.\nAnswer: 704748*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Suppose -2*m = -5*l + 20 + 11, -x*l + 16 = -2*m. Suppose -18 = -5*p + 2, l*k + 3*p = 27. Solve -3*r + 7*r - 6 = 2*s, k*r = -5*s + 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 448 = -s, -9*s + 12*s - 1325 = 4*g. Calculate the remainder when s is divided by 113.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7891178821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 + 91 = m. Let o(h) be the second derivative of 0*h**3 - 8*h + 0*h**4 + 0*h**5 + m - 1\/30*h**6 - 3*h**2. Find the first derivative of o(p) wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.317682mm in nanometers?\nAnswer: 9317682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 z when three letters picked without replacement from {l: 2, j: 3, n: 1, z: 4, k: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 2*x**3\/3 + 2*x**2 - 433*x + 86. Find the first derivative of s(z) wrt z.\nAnswer: 4*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 0 + (402 - 375).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1, 0, -598 in increasing order.\nAnswer: -598, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 3*o - 1. Let n(b) = -2*b**2 - 2*b. Determine 4*k(u) - 5*n(u).\nAnswer: 2*u**2 - 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167883 is divided by 167779?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n - 29. Let o be f(-10). Let l be -2*o\/(-6)*6. Is -33*(5\/(-15))\/(l\/142) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuupupuuupu. Give prob of picking 2 p and 2 u.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 5436?\nAnswer: 4\/1359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 6. Give w(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 2*r + 4*r + (-3*r - 2*r + 6*r)*(3 - 5 + 0) - 3*r + 0*r + r + 9*r - 332 + 332 + (-3 + 3 + r)*(2 - 1 - 3) - 1 - 2*r + 1 - r + r + r + 1 - 1 + 2*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 greater than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 + 72. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244377?\nAnswer: 43, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -4\/9, -3\/22, -0.08?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 48 - 115)*((-4*j + 2*j + j)*(-3 - 1 - 2) + 3*j - j + 0*j)*(j**3 - 2*j**3 - 3*j**3)*(4*j - 3*j + 0*j).\nAnswer: 672*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, m: 3}. Give prob of sequence mrrm.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-2*r + 4*r + 112 - 184) to the form j + i*r and give j.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2647*h**6 + 3*h**3 - 9*h**2 - 2*h + 104?\nAnswer: -317640*h**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 45. Let m(i) = 2*i**2 - 3*i - 2. Determine m(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -21. Suppose -5*j + 4*j = 2*y - 30, -5*y - j + 81 = x. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31609.\nAnswer: 73, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkttkkktktkttt. What is prob of picking 3 k?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17962*a*f**2*i**2 + 2*a*f*i**2 - 1546*a*f*i + 8*f*i**2 wrt f.\nAnswer: 35924*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 4*u**2 - 5*u + 2. Let f be -1 - (2 + -3 + 6). Let k = 3 - f. Suppose 0 = 2*g + g - k. Calculate c(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -506.6 - 336.4. Which is greater: q or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7721*d*l**2 - 1001055*d - 1297*l**4 + 1 with respect to l.\nAnswer: -15442*d*l - 5188*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108)\/sqrt(96))\/(sqrt(9) + (sqrt(90)*-1 - sqrt(90))\/sqrt(10)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 3, -3 in ascending order.\nAnswer: -60, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1264, -3, -2, -5, 3 in increasing order.\nAnswer: -1264, -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2695 and 0.6891702705.\nAnswer: -2694.3108297295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**3\/2 + l**2\/2 - 3*l. Let r(u) = -7*u + 4. Let c(p) = -6*p + 5. Let y(d) = 4*c(d) - 3*r(d). Let v be y(3). What is z(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 4:02 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-25 + 30 + -14 - (8 - 1))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -537864 + 2?\nAnswer: -537862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 2:13 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2232 + 3?\nAnswer: 2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 9:50 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 19*k + 15 = 0, 0 = -4*c + 4*k - 4. Let b(i) = i**3 - 7*i**2 + 7*i + 2. Let s be b(6). Solve -s*x = -4*x + c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 106*t**3 - 4*t**2 + 4*t - 162. Let o(m) = 106*m**3 - 5*m**2 + 5*m - 163. Let a(q) = 5*l(q) - 4*o(q). What is the first derivative of a(k) wrt k?\nAnswer: 318*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1121971, -2243942, -3365913, -4487884?\nAnswer: -5609855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/1307673 and 43\/90.\nAnswer: 13076730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5456 + 5455.9. Which is the fourth smallest value? (a) 3\/19 (b) 0.3 (c) v (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132*m - 311*m + m**2 + 516*m - 2127 wrt m.\nAnswer: 2*m + 337","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from hfhhhhhf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 20. Let l be i(-10). Let p be 15\/l*2 + -2. Suppose -3 + 60 = 3*z. Solve p = -4*u - z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = 12. Is -1 + 161 + 5 + v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 18.5.\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 566566988526 - 566566988526.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/(a*a**(-3)*a))\/(a**(1\/13)\/(a*a\/(a**(-1\/9)\/a)*a)))\/((a**0\/a)**(7\/3)\/(a\/a**(-1)*a)**(-7\/13)) assuming a is positive.\nAnswer: a**(556\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 2*d + 2019 - 2019.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*k - 30. Let q = -25 + 48. Let a = q - k. Calculate the remainder when 39 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 1\/24*p**4 - 2*p + 0 + 0*p**2 + 0*p**3. Factor g(a).\nAnswer: a**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.064 in -0.1, 1\/3, 1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {o: 1, l: 6, e: 1, i: 2, v: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1061690 divided by 31\nAnswer: -1061690\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 divided by 18442.\nAnswer: 111\/18442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(1\/13)\/o)))\/(o*o\/o**(-3)) assuming o is positive.\nAnswer: o**(-77\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 53, -244, -8 in ascending order.\nAnswer: -244, -8, -2, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -775 = -10*b + 5*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 3:15 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 7)*1\/(-1). Let o(a) = a + 1. Let t(l) = 7*l. Let n(v) = 3*o(v) - t(v). Is 11 a factor of n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 2033453.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346*-36.\nAnswer: -12456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w + 45 = 29*w. Solve -w*a - 6 = -11*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1, -10, 6, 4, -14.\nAnswer: -14, -10, -3, -2, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Suppose 2*c - b*c - 25000 = 0. Round c to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 690158541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28703309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244687556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = -3*n + 2026. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1455*l + 368097. Calculate g(253).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2781896 and 1196.\nAnswer: 2781896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (921 - 459 - 462 - 3*d**2 + 656*d**3)*(3 + 2 - 3).\nAnswer: 1312*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**5\/7 - 9484*n**4\/7 - 66216*n**3\/7 - 56736*n**2\/7 = 0?\nAnswer: -2364, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-43)\/(y\/(y*y**44)))\/(y**33\/y**(-8\/11)) assuming y is positive.\nAnswer: y**(-360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 50.2, 0, 0.1 in decreasing order.\nAnswer: 50.2, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 g when three letters picked without replacement from uxgxuxxguxucc.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, -1615?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5536 is divided by 448.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1452524544*c**2\/5 - 12272064*c\/5 - 25921\/5.\nAnswer: -(38112*c + 161)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**2 + 5*t - 5. Let j(q) = 6*q**2 - 4*q + 4. Let o(b) = 4*a(b) + 5*j(b). Let m(x) = 1518 - 1518 - 4*x. Give o(m(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 607149 plus -1.3195?\nAnswer: 607147.6805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2. Let p(c) = -4*c**3 + c**2 + 5. Let b(k) = -2*p(k) + 2*y(k). Differentiate b(v) with respect to v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 4:06 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 4)\/(1*-1). Is -2\/31 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -4, -10, -4, 20, 68?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.8 and 0.5.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 115288476593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8762 is divided by 2902.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5165 + 5453. Calculate the least common multiple of 432 and m.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -601600395 divided by 2885.\nAnswer: -208527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33 + 5)*(-6)\/8. Let h(y) = -12 + 2*y - 14 + b. Let w be h(3). Calculate the highest common factor of 7 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*(-7 - -16). Suppose -2*z + w = -g, -3*z + 3 = 5*g - 41. What is the lowest common multiple of z and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*f + 3*b + 457, 5*b = -f + 236. Find the common denominator of 63\/5 and -1 - (1 + -5) - f\/48.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) -88\/9 (c) -36.4 (d) -1\/69 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 34\/255*(-3)\/2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-35)\/(-20))*3\/12. Let h(w) = -113 - 2*w**2 - 13*w + 48 + 50. Let j be h(-5). Which is the closest to j? (a) 0.2 (b) x (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)\/(d*((d\/(d\/(d**(-2\/5)\/d)))\/d*d*d)\/d)*d**(-4)*d**11*d assuming d is positive.\nAnswer: d**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 7) + (-2 - 9 - -14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12785556739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 40 = 4*c + 6*c, -662*c - 16 = -666*c + 3*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = 4*i - 4*v, -i - 4 = -4*v. Let t be 2 + -4 + i + 2. Let n = -7\/5 + 1. Is t > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23055266 times 5?\nAnswer: 1.1527633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/11 and -63\/15122.\nAnswer: 166342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -86*y**2 + 4*y + 2. Determine d(-1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-10.49856.\nAnswer: -83.98848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8513931, -8513929, -8513925, -8513919?\nAnswer: -8513911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) - 13\/(-3). Suppose -4*v + 4*l - 4 = 0, 4*v + 2 = l + l. Suppose u*x + i = 25, v*x - 25 = -x - 4*i. Put 0, -3, x in decreasing order.\nAnswer: x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - sqrt(54)\/sqrt(2) - sqrt(27))\/sqrt(9) + -4 + sqrt(3) + sqrt(27).\nAnswer: -4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99682*-188.\nAnswer: -18740216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 120347065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, u: 2, f: 2, p: 1, t: 1}. Give prob of sequence iuf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -19*z**2 - 2*z + 5. Let l be (-2)\/((-2)\/1)*2. Let h be r(l). Is -229\/3 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5803*k + 6167 with respect to k.\nAnswer: 5803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 5:34 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -24 - 16*s**3 - s**2 + 64 + 15*s**3 - s. What is n(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107823915.57 rounded to the nearest 1000000?\nAnswer: -108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 38*f**2 + 52*f - 33. What are the prime factors of s(-41)?\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486591141?\nAnswer: 3, 47, 269, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 4652106?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*((sqrt(170) + -3*(-1*sqrt(170) + sqrt(170)))*-1)\/(4*sqrt(40)\/sqrt(4) + sqrt(1440) + -1*sqrt(1440)).\nAnswer: -2 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6479?\nAnswer: 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*y + 2098 + 19732 = 0 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (109 + -17 - 202) + 190.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - 52 - (-49 + (-6 - (-8 - -6)) - 6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -26\/2952015 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 87 = -3*h - n, -h - 3*n + 29 = 0. Let o = -8 + 33. Suppose d + 5*f = o, -2*d = -6*d - 2*f + 46. Calculate the remainder when h is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**4 + 210*a**3 + 1916*a wrt a?\nAnswer: -60*a**2 + 1260*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12395793\/377 - -32880. Let d = w + 7\/29. Which is the third smallest value? (a) 0.1 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3833 + 352625\/92. Let k = 3\/23 - i. Which is the third smallest value? (a) -3\/2 (b) -2.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111221120110 (base 3) to base 6.\nAnswer: 5514533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a century in decades?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47\/552 + 6979447\/2760. Suppose -2*f - 1412 = h + 1102, -5*f = -4*h - 10108. Let v = h + p. Calculate the common denominator of v and -95\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2)*4\/3. Suppose 0 = -9*t - 13 + 40. Is g != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75*s**3 - 3237*s**2 - 2*s - 9099673.\nAnswer: -225*s**2 - 6474*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24243 + 4722. What are the prime factors of x?\nAnswer: 3, 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3\/2)\/c*c\/(c*c**8\/c)*c*c)\/(c*c**(2\/5))**(3\/5) assuming c is positive.\nAnswer: c**(-367\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-112)\/70)\/(-3*8\/420). Does 2 divide (g\/6 - 2)\/(4\/150)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.3 + 3.7. Let g = -1071.48 + 1095. Let i = u - g. What is i rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 15*o - 2. Let b be i(4). Calculate the common denominator of (b*-1 + -1)\/(-10) and (-2)\/3*7\/((-665)\/(-390)).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3\/9 + 20*v**2\/9 + 376*v\/3 + 240 = 0.\nAnswer: -18, -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0*(-4)\/(-8))\/2. Suppose -5*t + 107 - 17 = c. Calculate the remainder when 53 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 16 = 1. Let z be n\/(-4) - ((-370111)\/20)\/7. Let i = z - 2646. What is the common denominator of i and -14\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4132230 (base 5) in base 12?\nAnswer: -332b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 34732357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**11\/n**(-3\/10)*n*n**(-5\/3)*n*n\/((n*n\/(n\/n**(-2\/21)))\/n*n*n) assuming n is positive.\nAnswer: n**(751\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 1, m: 5, q: 10, h: 1}. What is prob of picking 1 m and 1 s?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/3 + 120*x**2 + 421094*x\/3 + 140244 = 0.\nAnswer: -377, -1, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140.401 centuries to months.\nAnswer: 168481.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 12:03 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-111)\/(-444))\/(-1*(-1)\/(-28))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/((-81)\/(-270))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 220\/76 + (-18)\/(-171). Solve m*g + 6 = 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*j = -76 - 17, -4*k = -3*j - 62. What is the remainder when 116 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2. Let j(d) = -5*d**2 + 14*d. Let y(w) = -30*w**2 + 85*w. Let v(x) = 25*j(x) - 4*y(x). Let m(k) = 14*o(k) - 2*v(k). Factor m(s).\nAnswer: -4*s*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1706667\/44 - -38786. Find the common denominator of ((-1)\/14)\/((-408)\/(-48246)) - -8 and p.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -19. Let c be 10\/3 - j\/9. Suppose 5*l - 14 = 46. What is the greatest common factor of l and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -1 - 1)\/(7\/(-1498)). Let u = y + -736. Let x = u - -583. List the prime factors of x.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*f - 65*f - 9 = 0. What is the smallest common multiple of f and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -53*a**3 + 6. Let i(z) = -54*z**3 + 5. What is 4*c(w) - 5*i(w)?\nAnswer: 58*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -3. Let c = 1 - 3. Let j = -45 + 317\/7. What is the closest to -2\/5 in d, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -224 + 364. Suppose -4*u + 15 = -i - 91, -5*i = -5*u + w. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1690 and 18029089.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*5 + -4 + (-3 + sqrt(108))*1)*-3 + 0)**2.\nAnswer: -4536*sqrt(3) + 35433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*x**2 + 1 + (13 - 13 + 30*x)*(-25*x + 62*x + 27*x).\nAnswer: 1918*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/5 + 29791698*x**3\/5 - 178750161*x**2\/5 + 268125228*x\/5.\nAnswer: -x*(x - 29791692)*(x - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - s - 4*s - 16, 5*s + 4 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898 is divided by 237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 203. Calculate the remainder when h is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.8 + 0.2. Let h = -15.1 + y. Let m = 8 + -6. What is the second biggest value in -3, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 19*m + 210. Calculate i(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1818*b + 9593 = -29194 - 113925 for b.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 2*k + 3. Let g be b(-3). Suppose g = -2*i + 145 + 107. Let p be 3\/(11\/(-14) + 1). What is the greatest common factor of i and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 9:12 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 12 = v. Let x = v - -97. Calculate the common denominator of 82\/15 and (-4)\/x - (-1655)\/(-150).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*t - 99*t - 104*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.5. Let a = 5.119 + 0.881. What is the closest to a in x, -5, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l. Let o(a) = -3*a**2 - 5. Let x(q) = 5*q**2 + 7. Let g(u) = -7*o(u) - 5*x(u). What is g(t(v))?\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2 - 4*x**2 - x**2 + 4*x**2 + 1. Let f(s) = -5*s**3 + s**2 + s. Let w be f(-1). Let c(n) = -2*n**2 + w*n**2 - n**3 + 0*n**3 + 5. Give -c(v) - 3*i(v).\nAnswer: v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-405)\/(-18) - (-1)\/(-2). Let a = -34 + y. Let d = a + 21. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 993*a + 47 - 223 = 977*a. Solve -a*d - 10 = -76 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djjuudddjdddjdjd. What is prob of sequence jddj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*(z**(-2\/5)*z)\/z)*z)\/z)\/z*z)**2 assuming z is positive.\nAnswer: z**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58595017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17*g + 14. Let n(v) = -2*v. Calculate 3*k(z) + 24*n(z).\nAnswer: 3*z + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/22533*(-546)\/26?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-a - 2 + 2)*(a + 0*a + 0*a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98703329 to the power of 1\/2, to the nearest integer?\nAnswer: 9935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + b = -0*f - 301, b = -4*f - 607. Let z = f + 218. Calculate the remainder when z is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 464607.\nAnswer: 3252249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v**2 + 0*v - 4 + 4\/3*v**6 + 0*v**5 + 0*v**4 + v**3. What is the third derivative of q(x) wrt x?\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1457 divided by -593292\nAnswer: 1457\/593292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1 + a + 1 - 1. Let o be h(3). Let d be o\/3 + 8\/12. Solve -d*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 59712, 478074, 1613748, 3825390, 7471656?\n\"Answer: 59776*x**3 - 70*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:02 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 6:06 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99808595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -1444.7\nAnswer: 115.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 2. Let i be q(5). Let l = 135061 - 134877. What is the greatest common divisor of i and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558887919?\nAnswer: 3, 186295973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4729 - 4751. Is -519\/23 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -11*z - 39. Let b be x(-3). Let m(q) = 5*q + 1. Calculate m(b).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 480 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (198666\/69498)\/(1\/9) - 26?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 777*g**3 + 4*g + 2. Let z be b(4). Suppose 7*c = z + 5561. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 2\/9 (c) -1491 (d) 0 (e) -1\/4 (f) 6\/25 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606091 is divided by 37876?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 1078, 3955, 9552, 18775, 32530, 51723, 77260?\n\"Answer: 151*u**3 + u**2 + 3*u - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5683 = -5*n - 1966, 0 = -4*t + 4. What are the prime factors of n?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a1d (base 14) in base 8?\nAnswer: -51313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(288))**2 + sqrt(2) + -2 + -2 + sqrt(2))*-4.\nAnswer: -2304 + 368*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1399658km to nanometers.\nAnswer: 139965800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(704))**2*-1*-3 + -2 + 1.\nAnswer: 8447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1816*(-5)\/(-280) - 3\/7. Suppose -p + 0*p + 8 = 0. What is the highest common factor of p and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12904443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80306 = -d - q, -2*q + 50569 = -2*d + 211193. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*r + 43*r + 43*r)*(-4*r - 1 + 1)*(-28*r - 26*r - 53*r - 14*r).\nAnswer: 24200*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -2, 20, 27 in descending order.\nAnswer: 27, 20, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/1)\/(((-138)\/483)\/((-1)\/14)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**5\/20 + a**4\/8 + 2*a**3\/3 + 2. Let z(t) be the third derivative of v(t). Let x(l) = -2*l - 1. Give -7*x(j) - 2*z(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23460 divided by -223?\nAnswer: 23460\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 406778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 455 (b) 5 (c) 4.039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4584 (base 9) to base 15\nAnswer: -1017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15526113*y**2 - 2*y - 191888 wrt y?\nAnswer: -31052226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r + 129. Let v be x(30). Suppose w - 2*w = -4*j + 248, -5*j - 4*w + 289 = 0. Suppose -g + j = -v. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/30*12*-5. Let m(q) = -7*q**2 - 14*q. Let i(n) be the third derivative of n**5\/15 + 7*n**4\/24 + n**2 + 3. Determine r*m(s) - 11*i(s).\nAnswer: -2*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3449662*u - 573078 wrt u?\nAnswer: -3449662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*y = 13, 2*n - 4*y + 21 = 7. Let r be (n - -28)*15\/(-1008). Let t = -3\/14 - r. What is the common denominator of t and 23\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66428 smaller than -66425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 205, -4, 0 in increasing order.\nAnswer: -4, 0, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 3*q**2 - 4*q + 3. Let b be s(-4). Let d(t) = 0*t**3 + 4 - 18*t**2 - 5*t**3 + 3*t**b - 3*t. What are the prime factors of d(-9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 12785991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 - 8 = y, -5*i - 10 = 2*y. Let m(v) = i*v + 0*v - 3*v - 3. Calculate the remainder when 5 is divided by m(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93007 equal to -1395103\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**6\/24 + s**4\/4 + s**2 + 6. Let b(k) be the second derivative of u(k). What is the second derivative of b(g) wrt g?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 4. Suppose 0 = -4*v - 5*n + 30, 3*v - f = 2*n + 2. Suppose -t - t - 4*p = -8, -2*p - 8 = -t. What is the lowest common multiple of t and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 266\/(-3059)*(0 - 1\/(-8))*(-135 - -123)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 764014.3l?\nAnswer: 764014300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 - 8 + 11 + 0*u - 2*u + u**3. What is p(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5241*r**3*x**2 - r**3*x - r**3 - 3*r*x + 2*x**2 + 8 wrt x?\nAnswer: -10482*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4778426?\nAnswer: 2, 2389213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2. Let l be h(-1). Let b = -0.367 - 0.033. What is the biggest value in l, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 4)\/6 - 0. Which is the third biggest value? (a) k (b) -5 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323.6889*11\nAnswer: 3560.5779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -13. Let j = t + 6. Let k = 3.2 + -5.2. Is k less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1297 - -1297.9. Let z be (8\/4)\/(1 - -3). What is the third smallest value in n, z, 2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l**2 - 4*l - 1. Let f(j) = j. Let i(a) = 23*a**2 + 16*a + 3. Let t(y) = 5*f(y) - i(y). What is -6*t(g) + 17*x(g)?\nAnswer: 2*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204)*1 + (sqrt(204) - (-1*sqrt(204)*-1 - sqrt(204))))\/((sqrt(84)*1*3 - sqrt(84))\/sqrt(7)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/33 - -13\/66. Let q = -1.3 + 0.3. Which is the smallest value? (a) f (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 2363421 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*24\/30 + 3. Solve -d + 1 = -0*d, 5*d = -5*q - m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -3a9?\nAnswer: 3ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 75*(3\/(-9))\/(-1). Let l be k + (-1)\/(2\/6). Let f = l + -15. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 2*k + 1. Let i be b(-1). Let t(d) be the first derivative of i*d - 2 - d**2 + 0*d. Let s(p) = -2*p. What is s(t(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00427669372 to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*2*sqrt(3) + 2*sqrt(27)).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -951486 + 956073.87. Let r = j - 4557. Round r to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1474, 7365, 17642, 32299, 51330, 74729?\n\"Answer: -a**3 + 2199*a**2 - 699*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 14 + (0 + 2 + 0)*(-1 - 1 + 4) - 1 - 1 + 1)*(0*q - q + 2*q + (2*q - 3 + 3)*(3 - 2 + 0)).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8624000 rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 14 + (-11 - -16)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/16 and 49\/10448?\nAnswer: 10448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/27 + (-133806)\/(-9)?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 11. Suppose -2*h - i + 99 = 0, -4*h + 2*h + 90 = 4*i. What is the remainder when h is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.92 + -0.08. Let q(u) = 11*u**2 - 5*u + 4. Let p be q(1). Suppose 7*m - p*m = 0. What is the closest to m in -3\/2, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228768187 rounded to the nearest 100000?\nAnswer: -228800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 100 = -0*o - z, -157 = 3*o - 2*z. Let j = o - -105. Suppose -2*y + j = 10. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 6*m**2 - 16*m + 4. Let f be x(13). Suppose 4*w = -467 + f. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 17*a**8\/56 - 3*a**4\/2 + 17*a. Find the third derivative of l(h) wrt h.\nAnswer: 2040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 65*t**2 + 3*t - 2. Let m(w) = w**2 + 12*w - 27. Let c be m(-14). Is 7 a factor of u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 6. Let v be g(-9). Let x(i) be the third derivative of 0*i - 1\/21*i**v + 1\/420*i**6 + 1\/28*i**4 - 2*i**2 + 0 - 1\/70*i**5. Factor x(c).\nAnswer: 2*(c - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 267060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -280323558 bigger than -280323557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwis when four letters picked without replacement from wsitnntvs?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + r + 1. Let g(m) = 8*m**2 + 6*m - 7. Let c(t) = -g(t) - 3*x(t). Let b(u) = 3*u**2 + 5*u - 2. Determine -7*b(y) - 4*c(y).\nAnswer: -y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5\/9 - 22*c**4\/3 - 46*c**3\/3 - 70*c**2\/9 = 0.\nAnswer: -1, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 735 - 747. Let c(v) = -v**2 - 13*v - 7. Give c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1536\/22 + (-30)\/(-165). Suppose -p = -2*a + 18. What is the remainder when a is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -5) + -9 + 4. Suppose 0 = -4*i - h + 16, 5*i + r*i = -2*h + 23. Which is the closest to 1\/3? (a) 5 (b) i (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 1872861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 48104.02 kilograms?\nAnswer: 48104020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 560 + -561. What is the fourth biggest value in -0.07, g, 0.6, -1\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*a + 28. What is the remainder when a is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 455*n**2 + 743*n**2 - 288*n**2 - 3*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11133*m - m**2 - 37 + 37 - 11133*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*z + 28. Let g be (-3)\/(-15) - 28\/z. Suppose -60*f + 61*f = 2, -3*o + 4*f + 2 - 4 = 0. Solve -o*c = c + g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4)*-14)\/(6\/(-1044)*-87)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*h + 328 = m, -5*h - 102 = -m. What is the greatest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = 596*y - 598*y. What is the highest common factor of 560 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (27 + 4\/(-2)). What is the common denominator of ((34160\/(-1408))\/(-35))\/(2\/4) and 6\/4*154\/w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*((sqrt(68) + 2 + sqrt(68) + sqrt(68))*-1 - sqrt(68)))**2.\nAnswer: 512*sqrt(17) + 17471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 402532680 divided by 12\nAnswer: 33544390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a hour in seconds?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/275 - -2158\/1925. Find u such that -p - 8\/7*u - 2\/7*u**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 5, 0.12, 2, -2\/19, -0.04?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 5*h**4 - 3*h**3 + 7*h**4 + (-h**2 + 3*h**2 + 3*h**2)*(3 - 3 + h**2).\nAnswer: 7*h**4 - h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1320983652 divided by 3.\nAnswer: 440327884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + b - 191 = 0, -4 = 33*b - 32*b. What is the remainder when 5848 is divided by f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 6*k + 28. Calculate j(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7230 is divided by 2410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1792 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1564*s + 1543*s - 2 - 3187*s.\nAnswer: -80*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 63 + 39 - 3139*c to s*c + g and give s.\nAnswer: -3139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 1)*(-89 - 105 + 139) - 7 + 5 - 2)*(3*s**4 - 2*s**4 - 2*s**4) to the form a*s**2 + b*s + p*s**4 + y*s**3 + r and give p.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05044 rounded to three decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 26\/5 of a microsecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3696 and 9394.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15610*b + 15622*b + 204 = -3*q, -5*b - 85 = -4*q for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/445528048?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**4 - 4692964*f**3 - 1835327489760*f**2 - 239254515113644800*f - 239252679790848000 = 0.\nAnswer: -391080, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-74)\/(-30))\/(669\/(-2007))?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.207 times -1954.8\nAnswer: -404.6436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaua. What is prob of picking 1 a and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1\/6 (c) 0.7 (d) -1\/2 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 0*j + 5*j**2 + 7 + 0*j. Let s be r(3). Suppose 0 = -2*x - 82 - s. What is x rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3951*k**2 - 15*k + 5. Let d(r) = -6236653*r**2 + 23676*r - 7892. Give 7892*a(s) + 5*d(s).\nAnswer: -1973*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-45)\/(-60))\/(((-18)\/200)\/(-3)). Determine g so that -i*g**2 + 4*g + 74*g + 52*g**2 - 12*g - 25*g**2 - 68 = 0.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 734*a**2 + 1078 with respect to a.\nAnswer: 1468*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -6. Let h = 32.3 + -30. Let n = j + h. Which is the biggest value? (a) 0 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**4\/12 + 7*m**3\/6 - 5*m. Determine y(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133 divided by -1?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -21*f**3 + 6*f**2 - 4*f - 3. Let r(u) = 20*u**3 - 5*u**2 + 5*u + 2. Determine -4*q(o) - 5*r(o).\nAnswer: -16*o**3 + o**2 - 9*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(70) - (sqrt(70) - sqrt(70)*2*6 - sqrt(70) - sqrt(70)))\/(sqrt(10) - sqrt(90)*3))**2.\nAnswer: 7*sqrt(7) + 407\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 3*x + 2*x + 2*x**4 + x**3 to s*x**4 + j*x + w*x**2 + p*x**3 + u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - g**2 + g. Let i(z) = -z**2 + 6*z - 4. Let s be i(5). Let a be j(s). Let u be (-1 - a)*1 + 56. Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52470\/(-2332))\/(-2 - 15\/(-6))*(-3)\/(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 103 = 66659*l - 66658*l, 0 = 3*l - 10*s + 255 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(sqrt(325) + -2 + sqrt(325))*2 + 5 + -3.\nAnswer: -13 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*sqrt(16)\/sqrt(2))\/((sqrt(16) - -1*sqrt(64) - sqrt(16))\/sqrt(4)) + -3.\nAnswer: -3 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhjjjqzqczcqqcjcqvc. What is prob of picking 1 q and 2 j?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153084.33 minutes to weeks.\nAnswer: 15.1869375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23280 - -23525. Solve 0 = -44*a + 9*a - o for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/6)\/(((-16)\/(-606))\/(-8)) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 12. Let u be z(-5). Suppose -5*i - u*l = -0*l - 15, 15 = 5*i - 4*l. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-80)\/(-224))\/(10\/218) + -8 and 65\/1056.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -80, -123, -220, -389?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -630 + 630 - 1108*c + (1 - 3 - 1)*(-3*c + 7*c - 3*c) as d*c + a and give d.\nAnswer: -1111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/125 in 1, -4, -0.4011?\nAnswer: -0.4011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2021065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 2*u + 386 - 379)*(0 + 0 - u**2 + (u - 3*u + 0*u)*(0 - 4*u + 0)) to h*u**3 + x*u + r*u**2 + s and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3207 - 2985. Calculate the remainder when 6658 is divided by l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (86\/126 - 12\/21)\/(5\/(-30))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*r**6 - 4143*r**5 + 7*r**2 + 12*r - 32115 wrt r?\nAnswer: 13560*r**3 - 248580*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 2. Let q(y) = y - 10. Let v(o) = 3*o - 30. Let a(b) = -7*q(b) + 2*v(b). Let u be a(10). Determine i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 64*a + 101. Suppose -5*c - 23 = -q, -3*q = 7*c - 2*c - 29. Is h(q) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -346 or -2\/5639?\nAnswer: -2\/5639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2976 is divided by 593?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1811, 7230, 16255, 28886?\n\"Answer: 1803*q**2 + 10*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 25*x - 128 = 8*x. Solve -5*u = 14 - x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34635281?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6806776 millilitres in litres?\nAnswer: 0.0006806776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -33.996 (b) 4 (c) 1\/8 (d) -1\/3 (e) -1\/7 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395924, -1583714, -3563372, -6334904, -9898316, -14253614, -19400804?\nAnswer: -25339892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -21*s**2. Let j = 90 - 74. Let v(w) = -3*w + j*w - 12*w. What is v(y(o))?\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + i**4 - 3 + (3*i**2 - 3*i**2 + 2*i**2)*(-5 + 5 + 9*i)*(1853 + 730*i - 1853).\nAnswer: 13141*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/1*(-1)\/(-1). Suppose -o*x + x = -80. Let f(c) = -c**2 + c + 60. Let s be f(0). Calculate the greatest common divisor of x and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 592 + -596.97. Let p = b - -5. Let g = -0.97 - p. What is the nearest to g in 2, -2\/13, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1. Let w(n) be the second derivative of n**3\/6 + 2*n**2 + n. Let u = -75 - -74. What is u*w(a) - 6*h(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 - 2*u**2 + u - 4. Determine h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -670 + 1101. Let s = 1626 - v. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c - c)*(c**2 - 2 + 2)*(0*c + 4*c + 0*c).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-2*6 + (sqrt(132)*-1 - sqrt(132))*-6 + sqrt(132) + sqrt(132))\/(sqrt(144)\/sqrt(48) - (sqrt(1452)*-1 - sqrt(1452))))**2.\nAnswer: 176\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 468854051 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(-12*q + 10 - 10) in the form h*q + b and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 216707686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/144678636 and -31\/7344.\nAnswer: 578714544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/3)\/(6\/(-8)). Let x be (-3)\/2*r\/(-9). Suppose -4*v + 0*v = -5*p - 9, -5*v + 7 = -x*p. Which is the third smallest value? (a) 2\/9 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g\/(g**11\/g)))\/(g\/(g\/g**(-3\/8)))*g\/(g\/g**(-1\/17))*g*g**7)**4 assuming g is positive.\nAnswer: g**(2763\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -15\/17, 0.2, -156?\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (12\/30)\/((-16)\/20). Let j(y) be the second derivative of 5*y - t*y**4 + 1\/5*y**6 + 1\/5*y**5 + 0*y**2 - 2\/3*y**3 + 0. Factor j(o).\nAnswer: 2*o*(o - 1)*(o + 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 + -5864?\nAnswer: -5834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(931) - sqrt(931))*-1*3.\nAnswer: -4 + 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 1. Let u(p) be the third derivative of p**5\/30 - p**4\/8 + 5*p**3\/6 + 29*p**2 - 2. What is -3*s(c) - u(c)?\nAnswer: -2*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**3 + 149*d**2 - 47*d**2 - 47*d**2 - 55*d**2.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x - 2. Let p(d) = 129*d + 33. Let a(i) = 2*p(i) + 33*q(i). Let k(f) = -47*f**2. Give a(k(b)).\nAnswer: 282*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**3 - 3*f**3 + 3*f**3 + (4*f**2 + 0*f**2 + f**2)*(f + f + 0*f) + 0*f**3 - 2*f**3 + 0*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3342 + 3342.04. What is the biggest value in 39, -0.4, c?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 3*v + 3. Let b = 10 - 7. Suppose b*m - 20 = 8*m. Give j(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, e: 1, k: 7}. What is prob of sequence kkke?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 25*k - 72 = 0. Let b = k + 158. Let s = -90 + b. Let o(x) = -x**2 - 2*x + 2. Give o(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**4 - 133*f**3 - f + 22297.\nAnswer: 8*f**3 - 399*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 3*b - 6. Determine x(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1157, 9324, 31535, 74828, 146241?\n\"Answer: 1173*v**3 - 16*v**2 + 4*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -21*f + 838. Let v(g) = -420*g. Calculate v(s(q)).\nAnswer: 8820*q - 351960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 2:14 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 212629887 and -618.3.\nAnswer: 212629268.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50023892 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v. Suppose 0 = -v*p + 3*p - 9. Put -1, p, 4 in decreasing order.\nAnswer: 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 95, 312, 607, 986, 1455, 2020, 2687, 3462?\n\"Answer: t**3 + 33*t**2 + 111*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.234571 and -0.3.\nAnswer: -2.4703713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 - -0.11. What is the nearest to 0 in 4, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3751740.6 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.4 (c) 0.1 (d) -28 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365451?\nAnswer: 3, 61, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -1 (c) 4\/7 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -1. Let h = -3.9 - -4.21. Let b = 0.36 - h. Which is smaller: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 8*j + 3. Let w(o) = -o**3 - 5*o**2 - 6*o - 6. Let x be w(-4). Suppose -x*p + 0 = 6. What is m(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**5\/20 - 11*p**4\/12 - 11*p**3\/6 + 6*p**2 + 115*p - 5. What is h(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 6:40 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and 2545275101676?\nAnswer: 2545275101676.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*w + s + 414 = -89*w, 5*s + 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 969543157 to the power of 1\/2, to the nearest integer?\nAnswer: 31137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -401 + 98*i + 4*i - 103*i to m*i + n and give n.\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146254818 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-582142)\/(-16638) + -35)\/(3 + 7\/(-3))?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 1}. Give prob of sequence rru.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 5*c + 5. Let o be d(1). Calculate the highest common factor of o and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/5)\/(18\/(-36)*(-4)\/(-5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1897*c**2 + 2485*c**2 - 86*c**2)*(2*c - 7*c + 3*c) as o*c**3 + w*c + r*c**2 + m and give o.\nAnswer: -8592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y\/(y\/((y*y*y*y**14*y)\/y))*y)*y)\/y)\/(y*y**(-1\/49)))\/(y**21\/(y**19\/y)) assuming y is positive.\nAnswer: y**(-979\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r + 7. Let c(l) = 35*l + 10. Let w(y) = 9*y + 2. Let n(j) = -c(j) + 4*w(j). What is 14*n(t) + 4*q(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2537 - 253699\/100. Let p(o) be the second derivative of 0 + 1\/60*o**4 - 6\/5*o**2 + q*o**5 - 16*o - 4\/15*o**3. Find w, given that p(w) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14697, -24686, -41325, -64608, -94529?\n\"Answer: m**3 - 3331*m**2 - 3*m - 11364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnlh when four letters picked without replacement from hlnth.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42168\/(-753) + 568\/10 + (132\/10 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5d0 (base 16) to base 11\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -11*s**2 + 3 - 1 + s + 11*s + 12*s**2. Let n be d(-12). Suppose -2*f = -13 + 5. Is f greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrvrtrrirvtsiruu. What is prob of sequence ivr?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-54)\/8)\/(105\/(-2800))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -320?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.089 + 4.049. Let l = v + 0.04. What is the third smallest value in -2, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -142907\nAnswer: -13\/142907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -744199, -1489017, -2233837, -2978659, -3723483?\n\"Answer: -o**2 - 744815*o + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101*16.9.\nAnswer: -1706.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52.8 and 19872.\nAnswer: 1049241.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/5 + 637*x**2\/5 + 101123*x\/5 - 101761\/5 = 0. What is x?\nAnswer: -319, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3506*g + 49 + 133 - 182.\nAnswer: 3506*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250908717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + 112 + (-225)\/5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 6)*(-3*k + 4*k + 0*k) + (2 - 2 - 1)*(2*k - 4*k + 3*k)*(1 - 2 - 1) as w + d*k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 1903.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11362*r**2 - 621*r**5 - 11362*r**2 + 78*r wrt r.\nAnswer: -12420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97, 88, 73, 52, 25?\n\"Answer: -3*g**2 + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2204 - 856. Calculate the greatest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*2\/10*-3. Let q = 67.2 - 86.74. Let n = q - -19.5. Which is the second biggest value? (a) -0.1 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12261, -24105, -35537, -46557?\n\"Answer: 206*p**2 - 12462*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4017 + -3949. Solve -72*d + l*d - 24 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, j: 1, f: 1, y: 2}. What is prob of picking 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - v + 14 = 0, -3*v = 5*h - 0*h - 68. Calculate the remainder when h is divided by -1 + 3 + 4\/(1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296350 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -53499*h + 427988. Calculate r(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -2245*v**3\/3 + 1363. Let t(d) = 2*d**2. Give s(t(n)).\nAnswer: -8980*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -56. What is the smallest common multiple of i and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225774\/(-8744580) + (-2)\/404.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8716479 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = -4*m + 12, -5*y = -5*m + 30 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -25*b**3 + 3*b - 3. What is the tens digit of v(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 3*h**3 + 0*h**3 + (-14 + 4 - 2)*(13*h**3 - 5*h**3 + 16*h**3).\nAnswer: -286*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2*f - 2*f)*(-3108*f - 2208*f + 2575*f).\nAnswer: -5482*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.4 - -4. Let i = 110 - 988\/9. What is the nearest to -0.1 in v, 2\/3, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120203230001 - -1?\nAnswer: -120203230000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1042, 2543, 1892, -3491, -16186, -38773, -73832?\nAnswer: -123943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 704593331 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 100195314?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10}. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 169\/(-91) + 1\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -179, -178, -177?\n\"Answer: j - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009332 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15131*w**3 - 10634*w**3 + 1230*w**3 + 55*w**3.\nAnswer: -24480*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojodjhfioff. Give prob of picking 3 f.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1308 - -5137\/4. Let r = -159 + 80. Let q = -1107\/14 - r. What is the common denominator of q and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 588 + -551. Calculate the remainder when f is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248 + 247.8. Is v at least as big as -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 9 - -4*(-3)\/12 - 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9120\/17*b**4 + 3046\/17*b**3 + 0*b + 0 + 254\/17*b**2 - 72\/17*b**5 = 0.\nAnswer: -1\/6, 0, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161930.313 rounded to the nearest one hundred?\nAnswer: -1161900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-2)\/(-102685000)) + (6 - 7). Let l = -1129766063\/22 + x. Let c = 10500 + l. Calculate the common denominator of c and -107\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or 6909\/148?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 964 + -4876\/5. Let x = -243 + 162. Let i be (-11 + 2)*9\/(x\/(-12)). Which is greater: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + 2 + -255)*(-15)\/6. Let q = 626 - w. Calculate the remainder when q is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide (-51373)\/(-5) + 11 - (-1)\/((-5)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4 + 16*k**3 - 34*k**2 + 20*k = 0.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 211*u + 299*u**2 + 308*u**2 - 606*u**2 in the form a*u**2 + m + i*u and give i.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*h - 156*h = 158*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 2 + 8*h - 1\/2*h**2. Let f(u) = -u**2. Let r be f(0). Calculate k(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48422176 + 48422174.0000007. Let h = g + 2. Round h to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1638 = 8*x - 5*x. Let l = 607 - x. Let y = l + -755. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 19*d - 21. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 = 2*g - 10*g. Let p = g - -72. Suppose p*s = 4*j + 9 + 15, 2*j = s. What is the greatest common divisor of 12 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 327 + -6865\/21. Find the common denominator of g and -133\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -4. Let w(g) be the third derivative of -g**6\/120 + g**5\/10 - g**4\/4 + g**3\/2 - g**2 + 112. Determine w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 3:13 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56511785?\nAnswer: 5, 11, 1027487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 + 130. Let a be (21\/(-6) - -2)*100\/r. Suppose -4*m - 8 = -3*z, 4*z - 2*z - 10 = 5*m. Sort -2, a, 4, z.\nAnswer: -2, z, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 241150010 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.0219, 4, 1 in descending order.\nAnswer: 4, 1, 0.5, 0.0219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*r - 12. Does 22 divide r + (1 - (4 + -84))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -151766*o + 151903*o - 2740 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1442832\/7 equal to -206120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155*p + 516*p + 34288 - 10101 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i - 4. Let m = -9 + 12. Let q be z(m). Let v(c) = c + 2. Calculate v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83443131.\nAnswer: 3, 9271459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2823, 2846, 2885, 2940?\n\"Answer: 8*m**2 - m + 2816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.36336 to two decimal places.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.031852329 and 0.2?\nAnswer: 0.0063704658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let f be o(-3). Let z(t) = t**3 + 4*t**2 - 2. Let q be z(f). Let p = q - 4. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 119.2. Let m = -4 - -7. Suppose 2*k = 3*t - 16, 5*k + m*t = k - 14. Which is the third biggest value? (a) k (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + o - 44, -2*o - 192 = -3*f - 2*f. What is the smallest common multiple of f and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37608?\nAnswer: 2, 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9799 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 377 + -310. Let m = -69 + f. Let w = -3 - -6. What is the second biggest value in m, w, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(228) - (4*-2*sqrt(228) - sqrt(228))))\/((2*sqrt(132) - sqrt(132))\/sqrt(11) + sqrt(24)\/(sqrt(4)\/sqrt(2))))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/6 - 49*l. Let c(o) = -60*o - 1. Give y(c(g)).\nAnswer: -60*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 12 + 93 - 105.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + h + 31. Let s be x(6). Calculate the least common multiple of 22\/(-14) + s + (-1170)\/(-63) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21972355 and 3?\nAnswer: 65917065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87685996 a multiple of 1125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -449193*f**4 - 628387 wrt f?\nAnswer: -1796772*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/3 - (-2)\/3. Let d(l) = l**2 + 7*l + 2. Let r be d(-7). What is the third derivative of -r*p**i + 3*p**6 - 2*p**2 + 0*p**2 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*s + 29, 2*b - 117*s = -53*s - 46*s + 104 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3388) + -2 - sqrt(3388))**2 - (sqrt(700)*1 + -3 + sqrt(84)\/sqrt(3)).\nAnswer: -12*sqrt(7) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (203\/14*4\/6)\/(713\/2139)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98220659*h**3 + 291902511*h**2 wrt h?\nAnswer: -589323954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 18*c + 40. Give k(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 405\/5*(-5)\/(-3). Calculate the least common multiple of z\/90*(-4)\/(-6) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*g - 4*g. Let c = 115 + -207. Let f = c + 95. Put -3, f, -5, g in ascending order.\nAnswer: -5, -3, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 12 - (-12 - (-6 - 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1070*r**3 + 8557*r**2 + 12816*r - 36.\nAnswer: (r + 2)*(r + 6)*(1070*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -6. Let l(q) = q**2 - 7*q. Let n be l(y). Is -2 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2\/5 (c) 3 (d) 0 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 k when three letters picked without replacement from {u: 2, h: 1, k: 1, p: 1, y: 1, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Does -2 = 1787776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/63)\/(22\/(-66))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2772457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -15095 + 15095 - 2*s. Suppose 11 + 3 = 2*k + 2*m, -3*k + 23 = 5*m. Let l(j) = -3*j + j - k*j - j. What is l(c(h))?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 9. Calculate the remainder when 1\/b + 70\/4 is divided by 21\/2 - (-1)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 + 1716 = 221*s. Let q(t) be the first derivative of -49 - 3\/4*t**4 + 3*t + 7\/2*t**2 - 2\/5*t**s + t**3. Factor q(v).\nAnswer: -(v + 1)**3*(2*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -4, 1659, 4, -3, 3 in increasing order.\nAnswer: -64, -4, -3, 3, 4, 1659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + (-3 + 3*sqrt(675) - sqrt(675))*-5 + 1)**2.\nAnswer: -4500*sqrt(3) + 67725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 3*f + 3. Suppose -5*t + 6*t = 59. Let s = 54 - t. Let m(o) = -4*o + o + 5 - 2*o - 3*o**2. Calculate s*c(u) + 3*m(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r**4 - 6*r**2 + 14*r + 52. Let b(u) = 21*u**4 - 11*u**2 + 27*u + 102. Let x(w) = 6*b(w) - 11*v(w). Differentiate x(a) wrt a.\nAnswer: 20*a**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 29371.69?\nAnswer: -29375.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. Let v = 4 - q. Let h = 1 + v. What is the closest to -3 in 0.4, h, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 15. Let q be u(14). Suppose -t + n + q = 0, 4*t + n - 117 = 40. Round t to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 8*z**2 - 10*z - z**2.\nAnswer: -4*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148 + 148.2. Let z = 5 + -21. Which is the nearest to z? (a) -2\/9 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 51 in descending order.\nAnswer: 51, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/696 - 5\/24. Let g = -100\/203 - j. Let l = -2 - -6. Which is the nearest to -1? (a) l (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g - 3. Let s(x) = -1378188*x. What is r(s(n))?\nAnswer: -15160068*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 619697063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -65e37bc?\nAnswer: 65e37c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/11824 and 1\/29560.\nAnswer: 59120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -27. Suppose -5*q + 312 = 3*l, -d*l + 0*q - q = -300. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3000 = -2*z + 5*z. Let d = z + -435. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*d - 10665, 2*r - 5*d + 671 - 7790 = 0. Suppose -r = y - 13*y. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67790609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 26. Suppose 0 = -5*i + 26 + h. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 4423502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 39*m**3 + m**2 - m + 1. Let f be w(1). Let z = -23 + f. Let b = 33 - z. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4019000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.341892 to two decimal places.\nAnswer: -7.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6162 is divided by 97?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 648 = 4*n + 724, 0 = -2*g - 2*n - 38 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 130 = 15*b. What are the prime factors of b?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143506681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -67349 and 2542403232.\nAnswer: 2542335883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11548888 or 11548891?\nAnswer: 11548891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 - 4*j**2 - 2*j - 6. Does 14 divide c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24137209 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a kilogram in grams?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 25031*b. Let k(z) = -6*z. Give g(k(o)).\nAnswer: -150186*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {y: 1, j: 1, p: 4, c: 1, z: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5673 + -5665. Solve -17*g = t*g + 11*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + -4 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -170, -157, -144, -131?\n\"Answer: 13*w - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gigi when four letters picked without replacement from {i: 7, g: 8, l: 2, s: 3}?\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 2, -3, 4 in descending order.\nAnswer: 4, 2, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4088.624 micrograms?\nAnswer: 0.004088624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -45\/5068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i - 24*i = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6519127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**4\/24 + l**3 - 2*l**2. Let c = 14 - 20. Does 12 divide x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 2*f - 11268 = -458. Are -9736\/9 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:39 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h*h**3\/h)**31*(h**0)**(-39)*(((h*h\/(h\/(h*h**(-3)*h))*h*h)\/h)\/h)\/((h**(2\/9)\/h)\/h) assuming h is positive.\nAnswer: h**(-821\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351835905?\nAnswer: 3, 5, 23455727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 18*m - 32. Suppose -m*n = 12 - 100. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*-39*(-60)\/4680\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 9?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 821 + 850 + 793 - 2632 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*v = 2*r - 130, 5*r - 4*v = 95. Suppose -4*c = -5 - 15, c - r = -2*q. Suppose -34 = -2*k - 0. What is the remainder when k is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**3\/2 - 14*i**2 + 442*i. What is z(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8890, 35558, 80028, 142318, 222446, 320430, 436288, 570038?\n\"Answer: 3*q**3 + 8883*q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.71 - 0.01. What is the third biggest value in -3, z, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, y: 3, c: 2, s: 2, l: 1, d: 2}. Give prob of picking 1 t, 1 l, and 1 c.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -44 + 95 - 6*s - 48 + s**2. Determine m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 17*i + 6. Let b be (-4)\/(-8) - (-34)\/(-4). Let c be q(b). What is the tens digit of 1464\/c + 16\/(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 26. Let f be y(-13). Suppose -4*b - 130 - 78 = f. Do -51 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**3 + k. Let x(f) = -156*f**3 + f**2 - f - 3. Let p(r) = 2*s(r) + 2*x(r). What is the third derivative of p(i) wrt i?\nAnswer: -1824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b - 185. Let h = b - -56. Let u(x) = -x**3 - x**2 - x + 56. Calculate the remainder when u(0) is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29427 - 14984. Does 143 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*z + 14, z - 2*x + 4*x - 1 = 0. Suppose 4*w - 2 = z*w, 4*w = -4*q + 12. Suppose 0*j + 4*j = -2*s + 376, -q*j + 2*s + 470 = 0. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 7, t: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21422850*j**2*r**3 + j**2*r**2 - 5713*j**2 + 5*j*r + r**2 + 4*r - 1 wrt r?\nAnswer: 128537100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Suppose -34 = -d*w + 4*w. Let x be 2*(0 + w)\/1. Round x to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1424, -1541, -1658, -1775, -1892, -2009?\n\"Answer: -117*t - 1307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 4:14 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from mlmmsmmcjmlmcmd?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 5275.\nAnswer: 32\/5275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27871 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 1. Let q = -2834 - -2861. What are the prime factors of 22*(-3 + q\/g)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + -12.9. Let v = -13 - t. Let b = 0.8 - 1. What is the third biggest value in -4, v, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126.8 + -126.6. Which is the closest to -1? (a) 7\/3 (b) 12 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2. Let v(t) = -1135*t. Give v(w(y)).\nAnswer: -5675*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 3*c**4\/8 - 13*c**2. Let j(t) = -13*t**2 - 13*t**2 + 27*t**2. Calculate o(j(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11145205.\nAnswer: 5, 2229041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8*w + 18 = 0. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -11 - (28 + (30 - 17)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 5*h + 2. Let p(c) = -2*c + h*c + 0*c - 2*c. Let r(d) be the second derivative of -7*d**4\/12 - 2*d. Determine p(r(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*j - 2725 = 0, -2180 = -n - 3*n + 4*j. List the prime factors of n.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c**3 - 1\/4*c**5 + 0*c + 7\/40*c**6 + 0 - 1\/4*c**4 - 9*c**2. Let d(k) = 0. What is k?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 848, 866, 910, 992, 1124, 1318, 1586, 1940?\nAnswer: 2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4\/2 - 930*d**3 - 102807*d**2\/2 - 142197*d + 194532 = 0.\nAnswer: -559, -58, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 444818483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 78248*n + 4773122. What is l(-61)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7215.303 to the nearest 100.\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 223*w\/2.\nAnswer: -w*(w + 223)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u - 10. Let a(z) = -z**3 + 6*z**2 - 6*z + 3. Let n be a(4). Suppose 3*j - 4*j + n = 0. Let t(l) = -4 + 0*l + 2 - l. Determine j*t(i) - 2*r(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + k + 23 = 0, -3*k - 3 = -4*r + 18. Find the third derivative of r*c + c - 21*c**5 - 7*c + 40*c**2 + 109*c**2 wrt c.\nAnswer: -1260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -3\/5, 889, 0.5, 0.4 in decreasing order.\nAnswer: 889, 0.5, 0.4, -3\/5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 15 - 12)*(0*p**2 - 8*p**2 + 6*p**2).\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 10. Let f be g(-14). Let u(w) be the second derivative of 0 + 0*w**2 - 1\/48*w**f - 1\/24*w**3 - w. Find s such that u(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/30 (b) -2\/849 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + d**2 + 4*d**2)*(-1 + 2*d**3 + 1) + d**5 + 2 - 2 - d**4 + 10*d**5 + d**4 + 3*d**5 - 4*d**5 + 0*d**5.\nAnswer: 14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-5)*62 + -3*1. Let w = s + 1712. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207817665.\nAnswer: 3, 5, 11, 163, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-4)\/(1 + 1). Is 1 + 62 - (-1 - r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12926491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060175669.\nAnswer: 3, 686725223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 1:10 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*j + 4*p, 2*j = -2048*p + 2043*p + 47 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*h + (3 + 3 - 5 + (-3 - 5 + 4)*(4 - 3 + 0) - 3 - 1 + 3)*(13 - 13 - 6*h)*(3 - 14 - 5))*(-1 + 4 - 5).\nAnswer: 764*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101011111001111 (base 2) in base 14?\nAnswer: -8394b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 3*t**3 - t**3)*(2*t + 1 - 1 + (1 + 3 - 3)*(-t + 2*t - 2*t) + 4 - 9*t - 4).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 - 293*i + 1171\/4.\nAnswer: (i - 1171)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 133179900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p + 0*p**3 + 0 - 5\/3*p**5 - 1\/3*p**4 + 0*p**2.\nAnswer: -p**4*(5*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddoec. Give prob of sequence dd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 12150.\nAnswer: 12150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*j + 20 = 0, -2*j = 4*i - 13 - 3. Let b = 5 - i. Solve 0 = -4*q + 13 - b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18715897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -2287?\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 49. Let v = f + -11. Suppose -2*w + 3*w = 2. Which is the biggest value? (a) -2 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 769, 1533, 2295, 3055, 3813?\nAnswer: 4569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/16, -4, -2?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 113. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 27*g - 13. Determine p(23).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66857 is divided by 21403.\nAnswer: 2648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5103165 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3370*d + 3552 with respect to d.\nAnswer: 3370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 2.9. Let o = h + -0.8. Let f = -282 - -281.1. Which is bigger: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/28 and 117\/266.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = 2*o + 12, 5*w = 3*o + 14. Suppose -2*j = -6, j + 2 = o*b + 1. Suppose -b*f = -5*f + 177. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116310992 to the nearest integer?\nAnswer: 10785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + 12. Let r = u - 7.8. Which is the closest to 2? (a) 0.5 (b) r (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - 2*q)*(-806*q**3 + 7677*q**3 + 4019*q**3).\nAnswer: -21780*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o + 1)*(o - 6*o + 3*o) + (-2 + 0 + 5)*(2 + 2*o - 2)*(-5 + 4 - 33)*(3 - 1 - 6)*(-3*o - o + o).\nAnswer: -2446*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -315 or -261?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 122073.755 plus 284?\nAnswer: 122357.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -10, -6\/7, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (114 + -1)\/((-35)\/(-385)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*q**5 + 36*q**5 - 63*q**5 + (-2*q**4 - q**3 + q**3)*(4*q + q - 3*q) + (-3*q + 2*q**4 + 3*q)*(-3*q + 2*q - 2*q).\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 - 44*t**2 - 28*t + 29. Let c be r(-14). Solve 9*q + 20 = c*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.09616678 rounded to 3 decimal places?\nAnswer: 213.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3784 (base 10) to base 16\nAnswer: -ec8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 431868*v\/5 + 2591136\/5.\nAnswer: 2*(v + 6)*(v + 215928)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063084513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2 - 10*x + 4. Let j be z(2). What is the units digit of 452\/j - (3 + (-14)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*f + 3*f - 21676105, -3*f = -h + 65028301. Let b = f - -6876100. What is b rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 7*m**6\/60 - m**5\/60 + m**4\/24 - 6*m**2. Does 14 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*k = -357, 5*k - 67 = 4*s - 334. Solve s*z = 88*z - 60 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14352 + 14352 + 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/14)\/(s\/((s**(3\/8)\/s)\/s)))\/((s\/(s*s**19*s))\/(s\/s**13)) assuming s is positive.\nAnswer: s**(313\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 7*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*(14504813\/1926 + (-1)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 = -182*x + 348 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**10\/10080 - h**9\/7560 - h**8\/2240 + h**7\/1260 - h**4\/6 - 2*h**2. Let o(n) be the second derivative of s(n). Factor o(j).\nAnswer: j**2*(j - 1)*(j + 1)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 - m**2 - 2*m + 2. Suppose -4*o = s - 9, 8 = -3*o - 5*s + 2. Let c(x) = 5*x**3 - 3*x + 3. Give o*d(l) - 2*c(l).\nAnswer: 2*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 7)*(5*z + z + 2*z)*(-20 + 10 + 16) in the form q*z + f and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 570134083?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436825 is divided by 27299.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 32*b + 3. What is the remainder when s(1) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 121757.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4828*h**3*p + 8*h**2*p - h**2 - 141*h*p wrt h.\nAnswer: 28968*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12347 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-76)*-4*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 10:00 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/18 - (-38)\/9. Let d be (4\/8)\/(2\/t). Let f be 9 - 2\/d - 3. Which is greater: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/13, 2, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79417, -158727, -238037, -317347, -396657, -475967?\nAnswer: -555277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/5 at most -1792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10081\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3288780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 307\/((-1 + 2)\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 883707830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6)*(8874\/(-630) + 14).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/(1197\/(-19)))\/((-1)\/4))\/((-154)\/(-11))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.5 - -22.5. Let a = -0.3 - -0.4. Let y = 2 + 0. What is the third biggest value in u, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 q when four letters picked without replacement from qccqqqccqccnccqnqqc.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6446190 divided by -1289238.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 10*t - 3. Let n be g(-9). Suppose 2*i - i = n. Is (6 - i) + (1 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237608524 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -201011122200121 (base 3) in base 11?\nAnswer: -582a173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14298 - -14298. Put 10, 4, c, 6, 7 in ascending order.\nAnswer: c, 4, 6, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 4. Let q be k(-2). Let b(v) = v - 7. Let g be b(q). Suppose 29*f**3 + 0*f + 11*f**g + f - 36*f**5 - 5*f = 0. What is f?\nAnswer: -1, -1\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 3*h + h**2 + 3 + 4*h + 0*h**2. Let o be z(6). Solve -5*q = s + o, -2 = s - q + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 6*x + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173445 is divided by 15578?\nAnswer: 5095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 32\/7 of a week?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 616119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 20\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1964089 is divided by 3301?\nAnswer: 3295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12519*f - 594624 = -3129*f for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = n - 18, -4*h + 2*n + 12 = 4*n. Solve 8*q = h*j + 4*q + 20, 2*q = -3*j - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.43, 0.3, 1.4, -3, 0.1 in decreasing order.\nAnswer: 5.43, 1.4, 0.3, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33350 - 6?\nAnswer: -33356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 4*o. Let j(r) = -287*r + 96*r + 95*r - 2*r**3 + 101*r. Suppose 2*f + 2 - 16 = 0. Suppose v - 2 = -f. What is v*p(m) - 4*j(m)?\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**2 - i - 2. Let v(u) = 12*u**2 + 3. Let x(f) = -7*s(f) - 3*v(f). Let n be x(-1). Solve 2 = -n*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v - 10. Let l be u(2). Calculate the highest common factor of 28 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 47.04. Sort s, 1, 2 in descending order.\nAnswer: 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 103145? (a) -1.5 (b) 6\/7 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j - 253 = -14*j. Let z(n) = -2*n**3 - 11*n**2 + 11*n + 23. What is the thousands digit of z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 5. Let g(v) = 14*v + 21. Let c(d) = 4*g(d) - 18*i(d). Let t be c(8). Solve -3*z - 2*z - 3*x + t = 0, -14 = -z - 3*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -680, -674, -658, -626, -572, -490, -374?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2 - 1503709*k - 15037190 = 0.\nAnswer: -10, 1503719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 515 = -2*x - 89, 0 = -4*c - 3*x + 1222. Suppose 4*u - 50 = 4*g + 238, 0 = 4*u + 4*g - c. What is the remainder when 295 is divided by u?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13777 + 13776.999986782. Round u to 7 decimal places.\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 21\/9 + (-3)\/9. Let z(r) = 2*r - 5. Calculate z(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -40*c - 114. Let r be x(-3). Find the third derivative of 236*m**4 + 19*m + 8*m**2 + 70*m - 74*m**4 + 0*m**2 - r*m**2 wrt m.\nAnswer: 3888*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -54 + 133 + 10996*x - 63. Let z be k(4). Round z to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -986 - -910.7. Let t = -53.2 + -13.8. Let n = c - t. Round n to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.4 - -6.4. Let v = -44.4 - -44. Which is the nearest to o? (a) -0.5 (b) -7\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4457*k**3*r**2 - 706*k**3 - 351*r**2 + 4*r + 1810 wrt k?\nAnswer: 13371*k**2*r**2 - 2118*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 take away 133?\nAnswer: -127.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z = s + 20*z - 30077, -60145 = -2*s - 5*z. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, k: 3, r: 1, s: 1, u: 4}. What is prob of picking 1 r and 2 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -840 - -839.94. What is the nearest to m in 2\/5, -1\/9, 2\/7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 8. Let v(t) = -8. Let f(h) = -3*r(h) - 2*v(h). Let x be f(-4). Suppose -54 = -x*n + 2*n. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 9*r**3 + 6*r**3 + 6*r**3 - 32*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 13 - 87*s**2 to f*s**2 + h*s + k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2416 = 19*w - 26964. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/(-24)) + 0. Suppose -v*p + 46 = -22*p. What is the remainder when 43 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(150)*-2 - sqrt(6))\/(sqrt(3)*3*-1).\nAnswer: -22*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -162647.\nAnswer: -2\/162647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21580 and 17762?\nAnswer: 2309060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -715, -713, -709, -703, -695, -685, -673?\n\"Answer: x**2 - x - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6560 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/(-6) - 8) + 374. Round g to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 6*q**2 - 6*q - 9. Suppose -12 = -x + 3*x. Let b be h(x). What is the units digit of (20\/6 + -3)*b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 78*m - 1161. Let k be c(16). Solve k = -26*y - 43 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/4 - 3)*(-1 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w - 5. Let o(m) = 5*m - 4. Let j(i) = -7*o(i) + 6*r(i). Let q be j(4). Factor -4*a**3 - a - 148*a**q + 156*a**2 - 3*a.\nAnswer: -4*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-41)\/492).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + c + 14. Solve -2*a = -0*p + 5*p - c, 2*a = -p - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5561460 is divided by 292708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 3*m - 240. Suppose 0 = -2*i + 2*t + m, -25 = 3*t + 2*t. Calculate the highest common factor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 3*o**5\/5 - 4*o**4\/3 + 18*o. What is the third derivative of x(z) wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8+8919644118\nAnswer: 8919644110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36137.98 - 36138. Sort n, 21\/37, -1.\nAnswer: -1, n, 21\/37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (81 - (-17 - -96))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505539 is divided by 1352.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1157265 and 92\/315?\nAnswer: 8100855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -168*u**4 - 171*u**3 + 336*u**2 + 9*u - 6 = 0.\nAnswer: -2, -1\/7, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 133 - 148 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, f: 1, b: 2, p: 4, i: 2, r: 2}. What is prob of sequence ir?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 500556856*c**4*h + 178804*c**2 + 730*c*h wrt c?\nAnswer: 12013364544*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*m + 1242*m + 6897 + 70997 = 20*m for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from ggygggyggggygggyyyy?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.517 - 0.217. What is the closest to 2 in -1, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 17. Let h(j) = 17*j + 11. Let a be h(g). Round a to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 - 2.7. Suppose -5*k - 16 = -k. Which is the smallest value? (a) 1\/3 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/3)*z*z)**(-50)*(z**2*z*z)\/z*z**(-7\/2) assuming z is positive.\nAnswer: z**(-1003\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -337, -336, -335?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/106 + -131\/3339. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264747275 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -16*r. Let v(t) = 56974*t. Determine d(v(q)).\nAnswer: -911584*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -280707695 + -0.1\nAnswer: -280707695.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936504521.\nAnswer: 37, 83, 467, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 12:11 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + -87. Which is the closest to 0? (a) m (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*i = -122*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 41272417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-133)\/(-57) + 2 + -4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) + (-34)\/(-8). Suppose 3 = -3*q + 3*a, -a + p*a = 3. Suppose -3*u + 60 = -q*u. Solve -4*m + 2*b = b - u, -2*b - 16 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -12. Suppose x = -5*o + o. What is o rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 130497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/4532747?\nAnswer: -3\/4532747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r + 16*r + 22*r)*(-4 - 13 + 22)*(1 + 0 - 3).\nAnswer: -460*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -5\/8*a**3 + 3\/2*a**2 - 10 - 3\/2*a + 3\/32*a**4. Factor k(o).\nAnswer: 3*(o - 2)**2*(o - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -5\/8 (b) 18 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -310 + 1398. Let w = z - 388. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30949 - -2062. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let l be (2 + 5)*(2 - 1). Let b(t) = -11*t**2 + 6*t. Let q(s) = -12*s**2 + 7*s. Let o(h) = l*b(h) - 6*q(h). Determine o(n(z)).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*-2 - sqrt(76))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {b: 2, c: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 2181 + 1337 - h**3 + 1084.\nAnswer: -4*h**3 + 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 1187177.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (7473720\/(-51))\/(-4) + 124\/1054 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3899? (a) -3 (b) 0.1 (c) 3 (d) 2\/145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -987, -4048, -9151, -16296?\n\"Answer: -1021*c**2 + 2*c + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5654 + 517?\nAnswer: 6373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -492215*m**2*v**3 - 1646765*m**2*v**2 + 6*m*v**3 - v**3 - v**2 wrt v.\nAnswer: -2953290*m**2 + 36*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-1)\/3)\/(2\/6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38489.704 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + o - 6*o - 241, 3*o = 5*i - 1227. Is i a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*d = 8, 0 = 5*d - 4*d + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 438, 203, -32, -267, -502, -737?\n\"Answer: -235*h + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4782047808 a multiple of 6464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k**2 + 18*k**2 + 11*k**3 - 44*k**2.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*u + 0*u - 32 = 0, 3*m - 5*u - 16 = 0. Let a = 10 + m. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m. Let d(c) = -409*c. Calculate o(d(u)).\nAnswer: -818*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*m + 8*o - 5, 20 = 3*m - o. Let r be (1 - 1)*(-1)\/(-2). Solve r = m*c + 4*u - 17, -2*c + 0*u - 13 = -5*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 e, and 1 w when three letters picked without replacement from {u: 1, z: 1, e: 1, v: 2, m: 1, w: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - -4)\/40*-9. Let b(a) be the third derivative of 0 + 0*a - 6*a**2 - j*a**5 + 1\/16*a**6 + 2*a**3 + 3\/4*a**4. Factor b(d).\nAnswer: 3*(d - 2)**2*(5*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + (-5)\/((-60)\/186012) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2178*d + 4365*d - 7*d**3 + 6*d**3 - 2182*d.\nAnswer: -d**3 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**4*u\/u**(-3\/2))\/(u**0*u)**17 assuming u is positive.\nAnswer: u**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14 - -12) + (1 - -223)\/2. Calculate the greatest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222 - 3*m**3 + 2*m + 10*m + 2*m**4 + 3*m + 220 + 2*m**3 to v*m**2 + h + b*m**3 + f*m + l*m**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -z - 3, 3 = 5*k - 4*z - 13. Let y = -3 + 6. Suppose -y*q + 60 = -0*q. Calculate the highest common divisor of k and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.004 - 48.996. Let l = j + 47. Sort l, 0.2, -1 in decreasing order.\nAnswer: 0.2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/12 + 16\/(-3). Let d(l) = -l**3 - 5*l**2 + 5*l - 3. Let i be d(o). Let n(j) = j**3 + 6*j**2 + 5*j - 4. Let b be n(-4). Solve i = t + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*o = 168, 5*h = -2*o - 26 + 306. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 - 29*n - 3. Let f(v) = -30*v**2 + 157*v + 14. Let i(h) = 2*f(h) + 11*y(h). Let j(g) = -7*g**2 + 4*g + 4. Give -4*i(q) - 5*j(q).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/49660 and 87\/99320.\nAnswer: 99320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 147, 328, 603, 1020, 1627?\n\"Answer: 8*g**3 - g**2 + 128*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - (sqrt(2448) + -1))*4 + sqrt(2448)*1*6)**2*-1.\nAnswer: -88144 - 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 265 - 293 = -5*k, -92 = -3*l + 5*k. Suppose -3*j - 15 = -51. What is the highest common factor of j and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v - 35. Let c be g(-12). Let q = c + 123. Solve 0 = -6*m + m - q*b + 33, -4*m + b + 18 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 = 27*v - 4317. What is the greatest common factor of v and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - 22\/(-2) - (-44)\/(-26). Let t be (-1)\/3*-1*3. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(228) - sqrt(228)*-1))\/(sqrt(12)*-2*-2 + sqrt(12)) + 2)**2 - (-1 + sqrt(304) + sqrt(304) + -3 + sqrt(304)*-1 + 2)**2.\nAnswer: -6916\/25 + 104*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 943700 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - 3*b + b**4 - 2 + 152*b**2 + 3*b - 154*b**2 to the form h*b + s*b**2 + m + q*b**3 + z*b**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6006.\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 6. Suppose -29*u + 34*u = 0. Suppose 7*j - 13*j + 9*j = u. Calculate z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -76812 and 0.9.\nAnswer: -69130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/6)\/(12\/(-45)*3135\/7524).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 65*s**2 + 195*s - 135.\nAnswer: 5*(s - 9)*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + 3*o, -3*q + 5*q - 4*o + 2 = 0. Let j be (-39)\/q*(-14)\/3. Suppose 3*r + 2*x - 87 = 88, 3*r - 5*x - j = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -128, -3, -34, -9, 4, 5 in decreasing order.\nAnswer: 5, 4, -3, -7, -9, -34, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 491, 3896, 13095, 30986, 60467, 104436?\n\"Answer: 483*s**3 - s**2 + 27*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7290.875 nanometers?\nAnswer: 7.290875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87338.77 weeks to milliseconds.\nAnswer: 52822488096000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232\/5 - -46. What is the nearest to y in -1\/6, 0.4, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/7 + 1212*i**4\/7 + 213426*i**3\/7 + 9031824*i**2\/7 + 111064608*i\/7.\nAnswer: 2*i*(i + 27)**2*(i + 276)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 14 = 10. Suppose m*b - 12 - 4 = 0. Suppose -b*s = -8*s + 40. Calculate the lowest common multiple of 9 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7924840 and 111321.\nAnswer: 4065442920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2700*l**2 - 2121*l**2 + 5723*l**2.\nAnswer: 6302*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -26*a. Let s(x) = -15184*x**2 + 4*x - 1. Determine s(z(m)).\nAnswer: -10264384*m**2 - 104*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15008 and 40?\nAnswer: 75040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 11*b**2 + 12*b - 15. What is the units digit of x(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/5 and -44\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - l + l**3 - 8 - l + 27*l**3 - 41*l**3 + 18*l**3 + (5 - 1 - 2)*(-3*l**3 + l**3 - 3*l**3).\nAnswer: -5*l**3 + l - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/7 (b) 0.2 (c) 0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5472 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -23\/7. Let r = -27 - 148. Let v = 169 + r. What is the third smallest value in v, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -50. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 2*g**2 - 3582 + 31*g**3 - 3580 + 7156 in the form l*g**2 + r*g + v + h*g**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 78 = -4*n, 0 = 4*n - 3*n - 3*d - 28. What is the remainder when ((-26)\/4 + 4)*((-1856)\/10)\/8 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.28\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 4*v - 16 = -10*c, -3*v + 3 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - ((-2)\/10 + 1). Let v(i) = i**3 - i - 3*i**2 - 3*i - 2*i + 9 - 4. Let g be v(4). Which is the second smallest value? (a) p (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 13. Suppose 23 = x*b - 2. Suppose -57 = -b*c + 2*c. What is the remainder when 35 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*n + 11531 - 4*n - 11533 + (6*n + 3*n - 4*n)*(2 - 1 - 2).\nAnswer: 10*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.38 + 1.22. What is h rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144 - 133) + (-4 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 11. Let q(v) = 6 + g*v + 4*v - 9*v. What is the common denominator of -73\/6 and q(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37328 and 860877.\nAnswer: 13774032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 65.0538 nanoseconds?\nAnswer: 0.0000000000180705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107948 less than 108663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001488 rounded to six dps?\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-24) + (-4)\/(-8). Is (491100\/(-24) - 11)*l\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -1. Suppose -q*o + 4 = -5. Suppose -d + o = -11. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6554886 and 3025332?\nAnswer: 39329316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1*(-1)\/(-10)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2244*n**6 + 3*n**5 + 62*n**3 + 99*n**2 + 26*n - 654 wrt n.\nAnswer: 269280*n**3 + 180*n**2 + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 120, -3\/13, 0.5, 0.\nAnswer: -2, -3\/13, 0, 0.5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 0 - (-2 + 3)) + -505 + 517.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 4*y + 3. Let j be q(-2). Solve -j*x + 5 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 527 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1148152305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*g - 93, 2*o = -g - 4 + 31. Let y = g + -21. Suppose y = 12*p - 7*p - 480. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Let l(p) be the third derivative of 5*p**4\/24 - p**3\/6 + 67*p**2 - p. Let v(c) = -6*c + 1. Determine s*l(i) + 3*v(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**4 - 2*w**4 + w**4)*(-8 - 8 + 22) to the form b*w**4 + v*w**2 + g*w + l*w**3 + n and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416186 + 416186 + 176*k**2.\nAnswer: 176*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*l + 3. Let k = 13 - l. What is the remainder when 31 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041 is divided by ((-298)\/10)\/(10\/(-50))?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1579093 and 0.0497.\nAnswer: -1579092.9503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55808.7mg to nanograms.\nAnswer: 55808700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189 or -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*m + 16 = 0, -17 = 4*r - 0*r + 3*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4935a (base 14) to base 16\nAnswer: 2bb54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {r: 1, d: 1, f: 1, o: 2, y: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 501*j + 2530. Let q be z(-5). Factor -2\/15*g**3 + q - 10\/3*g - 4\/3*g**2.\nAnswer: -2*g*(g + 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, p: 6, n: 1, c: 2, k: 4}. Give prob of picking 1 y and 1 n.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272*d**3 - 101*d**3 - 47*d**3)*(-3*d**2 + 0*d**2 + 2*d**2) - 2*d**5 + 0*d**5 - 5*d**4 + 3*d**4.\nAnswer: -126*d**5 - 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 24089*c**2 - 279775*c**2 + 71.\nAnswer: -303864*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.9. Let d = -182329 - -182329.1. What is the closest to u in 2, d, -0.4, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -16 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n - 2*n**2 + 5*n**3 + 21*n**4 - 7*n**3 - 2*n + 8*n**2 wrt n?\nAnswer: 504*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*z + 191*z - 16 = 0. Let l = 16 - 6. Suppose a - z*u - l = 0, -5*a + 5*u + 91 = -19. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -347, -200, -25, 190, 457?\n\"Answer: 2*o**3 + 2*o**2 + 127*o - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**3 - 2*u**2 + 2*u. Let a be c(1). Suppose 23 = -4*m - 3*d, 13 = m - 3*d - 0. Suppose 0 = -16*z + 19*z. Put z, a, m in ascending order.\nAnswer: a, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327 by -10908.\nAnswer: 109\/3636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(15\/10*(-8)\/12). Let c be (8\/(-28))\/((-36)\/12089). Let p = -96 + c. Is v at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 2*g + 2. Suppose -9*b + 8*b + y = 5, 2*b = y - 7. What is t(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*h - 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzzj when four letters picked without replacement from {j: 3, d: 4, g: 1, z: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 5749991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i + 69 = -59*i. Let h = -27 + 57. What is the remainder when i is divided by h\/4*(-12)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**3 - 4*x**2 - 6*x + 2. Let q(h) = -15*h**3 - 9*h**2 - 13*h + 5. Determine 13*p(u) - 6*q(u).\nAnswer: -u**3 + 2*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v\/(v*v*v**0*v))\/v*v)\/v)**28)**(-27)*((((v*v**(-1))\/v)\/v)**(-50))**(6\/5) assuming v is positive.\nAnswer: v**1632","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1572*p**2*x**3 - 9*p**2*x - 3440*x**3 - x**2 - 8 wrt p.\nAnswer: -3144*p*x**3 - 18*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 40*q + 142. Give z(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*s - o - 3, -4*o = -2*s - 2. Sort -15, s, 2 in increasing order.\nAnswer: -15, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvpvqvvip. What is prob of picking 1 q and 1 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 0 in increasing order.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 711880450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 656 and 689456.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-241*y - 318*y + 439*y)*(-6*y**2 + 2*y**2 - 2*y**2)*(-3*y + y - 2*y + 2).\nAnswer: -2880*y**4 + 1440*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g - 4*c - 86 = 0, 3*c = 12*g - 7*g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:43 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**2*v**2*w**3 - 1337*i**2*v**2*w**2 + i*v**2*w**3 - 3*i*v**2*w + 2*i*v*w - 5*v**2*w**3 - 4*v*w**2 wrt i?\nAnswer: 6*v**2*w**3 - 2674*v**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1. Let k(p) = -2*p**2 - 4. Let d(s) = 4*i(s) - k(s). Let w(n) be the second derivative of 2\/3*n**3 + 0 + 0*n**2 - 10*n. Calculate d(w(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*i = 134*i - 51150635. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-15))\/(4\/10) - 2. What are the prime factors of ((-3)\/5*c)\/(2\/356)?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*r**2 - 358*r**2 - 88*r**2)*(0*r**3 + 0*r**3 + 2*r**3).\nAnswer: -1208*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-297)\/(-44))*2\/(-84)*1\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*i - 5830 = 81*i + 10570. What is i rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 20*r**2 - 6. Let p(u) be the second derivative of -u**4\/12 + u**2\/2 - 4*u - 104. What is -c(d) - 6*p(d)?\nAnswer: d**3 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19525 or 58573\/3?\nAnswer: 58573\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*q = 75, 27*q = 2160*d - 2162*d + 260 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331.9999 litres to millilitres.\nAnswer: 331999.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9689*y + 9691*y = 6. Let p(b) = -5*b + 3. What is the smallest common multiple of p(-3) and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40465163.66 from 1827.75.\nAnswer: -40463335.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9411370, 9411369, 9411370, 9411373, 9411378, 9411385, 9411394?\n\"Answer: v**2 - 4*v + 9411373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 72 = 10*a. Suppose -2*t - 4*t - a = 0. Let w be ((-396)\/(-8))\/9 - t\/(-2). Solve 0 = -2*c - 2*c - w*s + 13, 5*c - 2*s + 25 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**8\/56 - i**4\/6 - 2*i**2 + 6. Let v(y) be the second derivative of m(y). What is the second derivative of v(s) wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(20) + sqrt(100)\/sqrt(5)))\/(sqrt(360)*4) + -5.\nAnswer: -5 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -125633.777 rounded to the nearest ten?\nAnswer: -125630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 3*x**2 + 3*x + 5. What is m(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 261585*p**2 - 4 + 13 - 5.\nAnswer: -261585*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 17928.\nAnswer: 197208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 + 1 = 3*w, -4*w - 4 = -2*t. Suppose t = -g - 2*g. Let c = 0.2 + 0.3. What is the second smallest value in c, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.2. Let v = 9256\/17 + -1080640\/1989. Let k = v - 18\/13. Sort k, m, 0.5.\nAnswer: k, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457596257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10146574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 193, 168, 117, 34, -87, -252?\n\"Answer: -n**3 - 7*n**2 + 3*n + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2278\/19 or -119?\nAnswer: -2278\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/5)*u*u**(-19))\/(((u\/u**(10\/7))\/u)\/u*u**8\/u*u) assuming u is positive.\nAnswer: u**(-769\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2734000 and 169\/37401120.\nAnswer: 935028000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -125093490 from -3.\nAnswer: 125093487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 8*h + 3. Let x be i(8). Suppose 0*l = 4*l + u - 47, -x = -u. Let v = -5 + l. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -2, 120, 288, 496?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 11426 + 254. Suppose -t = -4*k - 15*k. Is k a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255825.\nAnswer: 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(51)\/sqrt(3))**2 + -2 + sqrt(119)\/(sqrt(112)*6))*-3.\nAnswer: -453 - sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let w(r) = 150*r + 35. Let f(j) = 13*j + 3. Let v(p) = -35*f(p) + 3*w(p). Calculate t(v(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-630)*-9)\/(3\/(-6)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 3 + (3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11832935.\nAnswer: 5, 17, 73, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -288*p + 75. Let d be 1 + -10*7\/14. What are the prime factors of s(d)?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t. Let l(a) be the first derivative of 3*a**3 - 1\/2*a**2 - 4 + 0*a. Let f(n) = -2*l(n) + 22*m(n). Let f(h) = 0. Calculate h.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -13, 449, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*h + 2*h. Let t be (12\/9 - h)*18. Solve -9 = -2*l - 3*u, t*l - 3*l + 2*u = 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3032974153 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -937, -3612, -8073, -14320, -22353?\n\"Answer: -893*q**2 + 4*q - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 5*k - 20, -5*l + 3*k = -50. Which is the third smallest value? (a) 6 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c**(-6))\/(c\/c**(-4\/3)))\/(c**0*c)**(2\/5))**(-9\/2) assuming c is positive.\nAnswer: c**(129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 29*z**2 - 15 - z + 30*z**2)*(2 + 3 - 7) + (-1 + 4 - 5)*(1 + 2*z**2 - 1).\nAnswer: -6*z**2 + 2*z + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*r - 822*r + 18351 + 3022 = -271*r for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -546*m**3 + 94*m**2 + 5?\nAnswer: -3276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/12 and -29\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - j**2. Let l be m(1). Suppose 3*s - 2*s - 5 = l. Suppose -2*o + s*i = 22, -o + 4*i - 24 + 7 = 0. Sort -2, o, 0.\nAnswer: -2, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 + 74*l + 295. What is y(26)?\nAnswer: -1161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 73 = -3*j. Let q(x) = -16*x - 1. Let c be q(2). Let w = j - c. Solve -26 = 6*u - 4*u + 4*d, 4*u - 5*d - w = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 64917683*o**2 - 1053576423980963*o + 1053576359063281.\nAnswer: -(o - 32458841)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*k + 5*k. Let m be (1 + 1 + -2)\/2. Suppose 21332*r - 42680*r + 528 = -21315*r. Solve k = -m*i + i + u, 4*u = r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3 = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49788.8 litres?\nAnswer: 49788800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**2 - m + 3. Let l(w) = 8*w**2 + w - 3. Let q(r) = -7*j(r) - 6*l(r). What is q(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3130 and 3420?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 32.3 * 0.83927\nAnswer: 27.108421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 6501?\nAnswer: -6506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 0 + 0 + (-1 - 1 + 4)*(-1 + t**3 + 1) + 2*t**3 + 0*t**3 + t**3 as d*t + v*t**2 + o + q*t**3 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -16780\/549 smaller than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 264316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-12))\/(4\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -294863.2371 rounded to the nearest ten?\nAnswer: -294860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18560 - 18950 = -10*i. List the prime factors of i.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-342)\/(-3078))\/((-2)\/(-54)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*z + 47281317 + 104638683. Round z to the nearest one hundred thousand.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10*x - 63 = 0. Let m(p) = 2*p - 5. Let o be m(x). Solve 0*f - 3*f = -4*l - 3, 0 = -3*l - o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/8)\/(246\/48 + -5). Let s(n) = n + n + 9 - n + m. Calculate s(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20276 and 270692?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*f - 2*f - 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.4545 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 21 (b) -1 (c) 0.3 (d) -959\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10753, 10729, 10703, 10675, 10645?\n\"Answer: -s**2 - 21*s + 10775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35500327 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((23 - 14) + (0 - 2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**2 + 94*q - 679. Let p(k) = -13*k**2 + 95*k - 680. Let y(l) = 5*o(l) - 4*p(l). What is h in y(h) = 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - 5*v - 3*v + 0*v + 0*v + (0 - 4 + 3)*(-3*v + 4*v - 4*v) - v + 4*v - 2*v)*(-v**4 + 19*v**3 - 19*v**3).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114? (a) 4 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85.01 - -0.99. Let i = -50 + h. Let z = 35.9908 - i. Round z to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 193. Let i(v) = -v + 1. Let a be i(5). Let p be (7 + -35)\/((-2)\/a). Is m less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5d6 (base 15) to base 10\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 914*h**4 + 5*h**3\/3 - 356*h + 2176. What is the third derivative of a(n) wrt n?\nAnswer: 21936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/2347 not equal to 6842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:13 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 9*p + 5*p = -8, -5*b = -4*p + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 786.9 from -30033331342.\nAnswer: -30033332128.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.2 + -3.5. Let n = -5 + t. Let d be 0\/1 + (-1)\/6. What is the third smallest value in 0.01, n, d?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97496\/61 + 1598. Let g = k + 464\/1159. Which is the smallest value? (a) 1 (b) g (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1515013 - 5?\nAnswer: -1515022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125549\/440 - -3161\/11. Find the common denominator of -48 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 107 (b) -0.18 (c) -1 (d) -0.005 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 377?\nAnswer: 10\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5747 by 1452.\nAnswer: 5747\/1452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(32\/(-3878)) - 2. Let j = 478 - r. Find the common denominator of j and -16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-10 + 2 - (1 + -1) - (-1808 + 1811)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168 - -186. What is the remainder when 231 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*k - 5*o + 10, 3*k + 4*o - 46 = 0. Find the third derivative of -39*w**6 - 24*w**2 - k*w**3 + 37*w**6 + 5*w**3 wrt w.\nAnswer: -240*w**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 120*h + 8*h**3 + 120*h.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/4*(-32)\/6. Let h = 23 + k. Suppose -92 = -r - h*r. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74754283 - w - 149508471 + 74754188.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33132233012131 - -11?\nAnswer: 33132233012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 382620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q**4 - 17506*q**3 - 12884136*q**2\/7 - 7332344*q\/7 - 1046048\/7 = 0.\nAnswer: -97, -2\/7, 1348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 10*g**2 + g - 2*g**4 - 8*g**2 - g**3 + 18*g**2 - 2*g**2 to the form u*g + f*g**3 + t*g**2 + b + o*g**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 669*s + 6. Let p be t(-3). Let u = -550 - p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1290 and 11\/774?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(-7) assuming i is positive.\nAnswer: i**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 134, 129, 122, 113, 102?\n\"Answer: -m**2 - 2*m + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2124411 + -1?\nAnswer: -2124412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69557173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 53 + (7 - 12) + -3 + 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 - 1704*j**2 + 3429*j + 5130 = 0. Calculate j.\nAnswer: -570, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -28*x**3 - x**2 + 2*x - 2. What is q(1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -76, -5 in decreasing order.\nAnswer: -2, -5, -6, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 6*g**2 + 6*g + 5. Let a be b(-5). Let x = a - 3. Sort 2, -1, x.\nAnswer: x, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g - 3. Let i be j(-4). Suppose 7 = -a + i. Let t = a + -1. Solve 4*n + 1 + 3 = 4*h, t*h - 15 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-two thirds of a week?\nAnswer: 3472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-1\/3))**(13\/2)*p**(-5\/4)\/(p*p*p**(-2)) assuming p is positive.\nAnswer: p**(115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2822097.58 + 18\nAnswer: -2822079.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 - -252.1. Let k = 1 + 0. What is the closest to -1 in -2, i, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172275 - 6*d**2 + 4*d**2 - 2*d**3 + 2*d**2.\nAnswer: -2*d**3 + 172275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 13 + 62. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 240 = -264 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/((-25726)\/(-60))*(0 + -1). Let i = 37017\/56191 - y. Let k(c) = -3*c**2 + 5*c - 3. Calculate the common denominator of k(3) and i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-805 - 402 + 1635)*(-44*k - 101*k - 7*k) - 2*k - 2*k + 5*k.\nAnswer: -65055*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 4*i**2 - 3*i - 2. Let l be s(-2). Let v = l + -8. Let k be (-34)\/(-8)*-1*v. What is the greatest common factor of 68 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11310 and 1470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*n - 9, -10*w = n - 6*w - 6. What is the first derivative of -14*v**2 - 6*v**2 - 25*v**2 + 39 - 24*v**n wrt v?\nAnswer: -138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*i + 55. What is the third derivative of -27*u**2 + u**3 + i*u**2 + u**3 wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*o**2 + 5553*o + 120947 wrt o?\nAnswer: 12*o + 5553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/123 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 8*l - l - 2*l + 1 - 1 + (-2*l - 3*l + 4*l)*(-6 + 3 + 2).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + -1.93. Let d = -5 - 0. Which is the biggest value? (a) 0 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2707 is divided by 91?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 299320.429 + -299448. Let q = -128 - m. Round q to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + 1 + sqrt(7)) - ((sqrt(70) + (sqrt(70) + sqrt(70)*-2 - sqrt(70)) + sqrt(70))*4 - sqrt(70))\/sqrt(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 44488*w**3 + w - 44485*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 8:21 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*o + 21. Let k be ((-40)\/25)\/((-6)\/o). Find the first derivative of 9*l**4 + 4 - 5*l**k + 3 - 3 wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (5 + -14 - -17 - -10)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -0.2, -999047?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 2, -543 in decreasing order.\nAnswer: 75, 2, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4934968l in millilitres?\nAnswer: 493.4968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 346846.5 decades?\nAnswer: 3468465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 4, -1 in descending order.\nAnswer: 4, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -38*m - 222. Let s be p(-6). Solve -c + 5*x = -3, -2*x = 5*c + s + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1095 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 4*x + 4. Suppose x = c + 11. Is 1*11 - (c - -8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2709 by -1.\nAnswer: -2709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23784.17 years in decades?\nAnswer: 2378.417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 13 = -r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 1 = 5*w - 0, -3 = o - 2*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 3)*(36*h - 12*h - 16*h) - h - 1 + 1 to the form f + m*h and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(1\/(-16)*-30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)\/o)**(-29)\/(o*o\/(o\/o**(2\/5)))**22 assuming o is positive.\nAnswer: o**(263\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 5. Let c be y(-5). Suppose -5 = t + k, c*t + 5*k = -2*t - 25. Let p = 20 - 15. Solve t = 4*z - p*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -197. Let x be (-2 - (-1 + -4)) + 627. Suppose x = 34*l + l. What is the greatest common factor of i and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1518\/(-210) - -8 - (-115)\/(-161). Let a be (-1 - -2) + (-1 - 5). What is the third smallest value in a, 0.4, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398 divided by -11?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x**3 - 12*x**3 + 23*x**3)*(-1 + 5 + x - 2*x).\nAnswer: -2*x**4 + 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1, 5 in descending order.\nAnswer: 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 134303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/7 - 100770*u**3\/7 - 201545*u**2\/7 + 100770*u\/7 + 28792 = 0.\nAnswer: -2, -1, 1, 100772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 5128912.\nAnswer: -1\/5128912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*j = 603*j - 42 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13*l**3 + 2*l**2 - 11*l - 25. Let k be (-1)\/((13 - 8) + -6)*-6. Let p(o) = 7*o**3 - o**2 + 6*o + 13. What is k*t(n) - 11*p(n)?\nAnswer: n**3 - n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 144*m + 2. Let s be d(2). Let q = 1315 - 1305. Suppose q*l - 295 = 5*l - 3*i, -2*i = 5*l - s. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*m - 4690, b - 1407 = -4*m - 221. Suppose 4*l - 2876 = 3*o + o, 4*o = 3*l - 2871. Let q = b + o. Round q to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 2*n**2 - 7*n - 1. Let o be c(4). Let u(q) = -41*q**3 + 1 - 2*q + 42*q**o + q. Let m(i) = -6*i + 2. Let d be m(0). Determine u(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1\/4, -15\/17, 910.\nAnswer: -8, -15\/17, -1\/4, 910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 2*p - 1. Let c(y) = 43*y**2 - 19*y - 6. Calculate c(x) - 6*m(x).\nAnswer: 55*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/2)\/z*z**1*z)**(-28)*(z\/(z**7*z*z*z)*z)\/z*(z*z**1)\/z*(z\/z**(-1\/2))**(-7\/4) assuming z is positive.\nAnswer: z**(-645\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -59*j + 57*j. Is (6 - 0)\/j - -2860 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(202*(-2)\/(-74)) and (2 - (-2)\/(104\/91)) + -7?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1010*m - 6*m**2 + 1010*m)*(-4*m**2 + 1 - 1).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 10:29 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 117952718 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -52*c**3 - 1220*c**2 - 1678*c - 28. Determine k(-22).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*-5*((sqrt(242) + 3*sqrt(242) - sqrt(242)) + sqrt(242) + sqrt(242) + sqrt(242))**2*-3*6.\nAnswer: -15681600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 63.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4968 and 1647.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -2*p - 3*p. Suppose 6 = 3*q - 5*v, 4*v + 23 = 5*q - 0*q. Suppose -q*x = x - 96. What is the remainder when p is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/8 - (-204)\/8*-1. Are y and -24 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 5. Let x be (0\/(-3))\/h - 0. Let n = x - -2. What is the least common multiple of n and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15354174 and 162.\nAnswer: 414562698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63011 and 11513983?\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = s + 74, 5*x = -3*s - 157 - 59. What is the remainder when 41 is divided by (1 + 1)*s\/(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*w + 94897 = 103857 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*x - 6 = 30, 51 = 4*d - x. Let i = d + -7. Solve -r + i = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:15 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 139, -0.3, 2, 4, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u. Let p(g) = 4851503*g**2. Determine p(y(r)).\nAnswer: 485150300*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427043034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -1.03?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*q - 4124 - 4635 = 214*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, -1\/3, 2\/7, 0.1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -18*m + 15*m. Suppose -m = 7*t + 324. Let j be ((-1)\/(8\/14))\/(t\/208). Solve j - 2 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6\/17)*w*w*w**(-1\/12)*w)\/(w*(w**19*w)\/w*w*w*w*w\/(w\/(w*(w\/w**(9\/2))\/w))) assuming w is positive.\nAnswer: w**(-3251\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = 3*r, -r + 4*g + 4 = 3*r. Let c(v) = v**2 - 1. Let x(d) = 109*d**2 + 8*d - 12. Let b(z) = -2*c(z) + x(z). Is b(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7384 and 68728.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 + -159 + (-2 - -20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1646\/8467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v - 3998 = 0. Let w = v + 3100. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = -2*a - 64 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/5 + 16*q**3\/5 - 46*q**2\/5 - 144*q\/5 - 81\/5 = 0. Calculate q.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = i + i - 46, n - i = 12. Suppose n = t - 4*t - u, 5*t + u + 18 = 0. Let q be (56\/6)\/(t\/(-12)). What is the greatest common divisor of q and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2315 (base 12) to base 11.\nAnswer: -2a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1720*m**2*u**3*z**2 + 2*m**2*u**3*z - 2*m*u**2 + 4*m - 2*u**3*z - 5*u*z**2 - 2*u*z wrt m?\nAnswer: 3440*u**3*z**2 + 4*u**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {u: 3, d: 1, z: 3, l: 1, n: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, -731, -4614, -12725, -26474?\nAnswer: -47271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -65, -5, -3 in descending order.\nAnswer: -2, -3, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z**3 + 2*z + 1. Let s be o(-1). Suppose f = -3*i, -3*i + s*i = 2*f - 10. What are the prime factors of 2 + (-3 - (-9)\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(7\/3)\/(u\/(u*u*u\/((u\/(u**(-1\/9)*u)*u)\/u)*u*u)))\/(u**(3\/10))**(5\/7))**(-40) assuming u is positive.\nAnswer: u**(-15140\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16\/29 - 2689\/406. What is the common denominator of 31\/20 and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)\/sqrt(3))\/sqrt(3))**2 + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 69\/((-1449)\/7)*5\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-30)\/25*8\/(-6). Suppose -2*t - 2 = -2*p - q, -3*t - 5*p = 15. Solve 5*g**4 + 0 - 11\/3*g**3 + 2\/3*g**2 + t*g = 0 for g.\nAnswer: 0, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91*w**2*z**3 + 2*w**2*z**2 + w**2 + 3*w*z - 2*w - 105*z**3 + 12*z**2 wrt w?\nAnswer: 182*z**3 + 4*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from rrzzezssxeyssz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518, -517, -516, -515?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53828 is divided by 7687.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + j + 4, 2*b + 2*j = 4*b. Is b at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 228 (c) 0.276\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-1)*(-13)\/(-39) + 2. Which is greater: 12\/257 or m?\nAnswer: 12\/257","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-1 + 2) - -1. Let q = -5 - a. Solve q = z - 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215 - 215 + 22*h**3.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54332 and 1692.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4*s = 29, 52*s - 15 = 49*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 - 2*a**2 - 2*a - 1. Let g be i(-1). What is the derivative of -g - 2 + 0 + 3 + 8*l wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i + 24. Suppose 2*q = 4, -2*q + 10 + 22 = 2*a. Let u = a - 20. Let v be b(u). Put v, 4, -45 in ascending order.\nAnswer: -45, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -3*x**5\/20 - 7*x**4\/6 - 2*x**3\/3 - 19*x**2\/2 + 6*x + 2. What is the remainder when 108 is divided by s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001540.\nAnswer: 2, 5, 50077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o + 13 = 0. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -93*i. Let j(u) = -216*u. Let w(k) = 3*j(k) - 7*m(k). Let p(v) = -7*v. Let c(r) = -405*r. Let d(s) = -6*c(s) + 351*p(s). Determine d(w(f)).\nAnswer: -81*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8320 + 2701. Let h = y - 7511. Find the second derivative of 6*k + 8*k + h*k**4 - 3535*k**4 wrt k.\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*x + x - 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by (-624)\/108*-3*6\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 8*k**2 + 1. Let c be b(-8). What is the units digit of (-1)\/((c\/2)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*f = -4*i + 3834, 2*i = -4*f + 1544. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1\/d**(-7) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 85*u - 542. Determine k(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 24778840*o - 537242047777400.\nAnswer: -2*(o - 43362970)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 14, -20, 55, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384327893?\nAnswer: 3, 13, 35495587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 119573 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: Let b(c) = -c + 1. Let f be b(-3). Let h = 106 + -740\/7. Solve -4\/7*t**2 + 2\/7*t**5 - h + 6\/7*t**f - 6\/7*t + 4\/7*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.45. Let n = 0.05 + s. Let m = 545 - 543. Which is the nearest to m? (a) -4 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116484130.\nAnswer: 2, 5, 7, 197, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 166281152 divided by -16\nAnswer: -10392572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j - 21. Let o be s(-4). What is n in 0 - 2\/9*n**o + 2\/9*n + 0*n**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 4*u - 44, -2*r + 5*u - 28 = 0. Suppose g - 3*g = -24. Let b = r + g. Calculate the highest common divisor of b and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0*t**2 - 579 + 3*t + 2*t**2 + 582. Let p(k) = -13*k**2 - 5*k - 15. Let x(o) = -7*o**2 - 2*o - 8. Let y(j) = 3*p(j) - 5*x(j). What is 5*q(u) + 3*y(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = 0, -2*v - 18 = -2*z + 5*v. Solve -z*q - 6678 = -6723 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1773)\/(-394))\/((-15)\/(-2)) + (0 - 1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + c = 14, -v + 1 = -15*c + 11*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 423108.8 litres?\nAnswer: 423108800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 432425 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391 = -28*n + 29. Solve 52 = -n*f + 41*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f = -40. Let r(b) = -10*b - 114. Let m be r(-11). Calculate the remainder when (m\/(-8))\/(3\/108) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + c**2 - c + 3. Let w be k(0). Let r be 46\/11 - (-4)\/(-22). What is the third derivative of -2*q**3 + r*q**w - q**2 + 0*q**2 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3443032 (base 5) in base 13?\nAnswer: -2245a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5530 divided by 5?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79484 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + v - 2*v - 4*v**2 to the form u*v + t*v**2 + h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3410*j - 10172 + 5406 = -3555*j + 6544 for j.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 111, -4 in ascending order.\nAnswer: -4, 2, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13422533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*w + 15*w + 6*w**2 + (-3*w + 4*w + w)*(-10*w + 0*w - 16*w).\nAnswer: -46*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 3*f. Let t(h) = 3*h**2 - 12*h + 1. Let s(d) = t(d) - 4*v(d). Let z(m) = -m**3 + 3*m**2 - 3. Determine -5*s(a) - z(a).\nAnswer: a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000222499893 rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 - 13 = 0. Let x(m) = -m**3 + 5*m**2 + m - 2. Calculate the least common multiple of x(y) and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5120 - -46120\/9. Factor 16\/9 + 4*j**2 + 14\/9*j**3 + t*j + 2\/9*j**4.\nAnswer: 2*(j + 1)*(j + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 5 + 25)*(-7*k - k + 0*k) to the form w*k + t and give w.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + 634 + -12*7\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*o + 5116 - 4752 = 584*o + 16726 for o.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g**2 + 442*g - 442*g + (-2*g + 0*g + 0*g)*(-3*g + 4*g - 3*g))*(-g - 1 + 4 - 2)*(0 - 1 + 0).\nAnswer: -5*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -18?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151992 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)\/(-3*sqrt(11)) + sqrt(114)\/(sqrt(18)\/sqrt(3)) + -4)*-4)**2.\nAnswer: -256*sqrt(19)\/3 + 3520\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 22.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10 + 9\/(270\/(-42))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -75. Let x(r) = r**2 - 3*r + 2. Let h be x(f). Solve h*u = 2*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 320\/52 - (-2)\/(-13). Suppose d = -0*u + 4*u + 2*x, 5*u - 5*x - 45 = 0. Let s be u + -4 + 4\/(-10). Which is the smallest value? (a) -2 (b) s (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 h when four letters picked without replacement from wihhwwhuwhw.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 0*s**2 + s**5 + (0 + 4 - 6)*(s**5 - 2*s**2 + 2*s**2) + 98*s + 70*s**5 - 98*s + 4 - 4 + s**5.\nAnswer: 70*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/60 - j**4\/12 - 2*j**3\/3 + 8*j**2. Determine f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 64272 - -7a?\nAnswer: 64330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s - 2 = 0. Let u be (-14)\/((-6)\/2 - -1). Let k = s + u. Solve -n + 2*t = 6, -7*n - 3*t = -3*n - k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 11*u + 837 - 837 + (-3*u + 2*u + 2*u)*(-u + 2*u + u) + (0 + 3 - 1)*(0*u**2 - 2*u**2 + 3*u**2))*(13*u + 75*u + u).\nAnswer: 801*u**3 - 979*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1614 = -36*y - 1590. Does y = -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-6 + 19 - 5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 76, -3162*x + 3166*x + 2*t + 34 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*j*u**4 - 540*j*u**3 + 2*j*u**2 + 6*j - 3*u**3 - 24*u**2 + 30*u - 20 wrt u.\nAnswer: 576*j*u - 3240*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.179 - 0.821. Which is the closest to -1\/2? (a) -5 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h**2 - 3*h**3 + 2*h**3 + 6 - h + 9*h**2 + 3. Let d be w(9). Which is bigger: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-12)\/8)\/((-60)\/(-312)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 102022010?\nAnswer: 102022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-130))\/(((-1)\/2)\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 o, and 1 r when three letters picked without replacement from {r: 1, o: 1, f: 1, q: 1, d: 1, x: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9530457, -19060917, -28591377, -38121837, -47652297?\nAnswer: -57182757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0 - 8. What is the second derivative of -a**2 - 2 - 2 + j - 2*a wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 - -697\/5. Put y, 6, 2\/3, 0.4 in decreasing order.\nAnswer: 6, 2\/3, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9056.156ml to litres.\nAnswer: 9.056156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 6464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.420794 litres to millilitres.\nAnswer: 420.794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 2765\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6636 - -6636. Put -1, c, 412 in descending order.\nAnswer: 412, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -z - 19, 2*z - 5*w - 73 = -72. Let q(i) = i**2 + 4*i - 21. What is q(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1524 and -5.\nAnswer: -1529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2220122 (base 3) to base 15\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 15. Let q be m(9). Is 20 a factor of (480\/45)\/((-2)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38777, -77546, -116315, -155084, -193853, -232622?\nAnswer: -271391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 0 - s - 1 - 2. Let w be l(-3). Suppose 3*z = 5*y + 58, w*z - 68 = -3*z - 5*y. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.6 + 22.55. Sort c, 0.5, 0.2 in descending order.\nAnswer: 0.5, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, g: 5, n: 2}. What is prob of picking 1 n, 1 g, and 2 k?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, -141687, 18\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118917085 divided by 31.\nAnswer: 3836035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7940433 and 744?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45983321?\nAnswer: 45983321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, 0.84, -80 in increasing order.\nAnswer: -80, -0.1, 0.84, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223.9 + -220.9. What is the third biggest value in 4, -9\/4, y?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - 3*x**5 + x**5 + (0*x**2 - 2*x**2 + x**2)*(-x**3 + 2*x**2 - 2*x**2) + 0*x**5 - 4*x**5 - 2*x**5.\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -35. Put t, 0, 1 in ascending order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20113 is divided by 925?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4773\nAnswer: 1\/4773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 27 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3079511 and 11693.\nAnswer: 33874621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t + 4. Let q be h(4). Let c(y) = -y**3 - 8*y**2 - y. Let r be c(q). Solve d + r = 3*j, j = -3*j + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + y**2 - y. Let x(o) = -12*o**2 - 34*o + 11. Let u(h) = g(h) + x(h). Let r be u(-6). Solve 10*w = 5*w - 4*p + r, 4*p - 16 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 790 - -665?\nAnswer: e05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 take away 0.0332?\nAnswer: 120.9668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-2*-4)\/(sqrt(1331)*-2).\nAnswer: -4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -5 in descending order.\nAnswer: -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 0.9, 437 in increasing order.\nAnswer: -3, 0.9, 5, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -51*r**5 + 25*r**5 + 25*r**5 - 4*r**4 + 0*r**4 = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-48)\/4 - 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0107 - -0.1107. What is the nearest to r in 1, 2, -20, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3289 and 279587425?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215 + -223. Let p(y) = 5*y + 39. Let z be p(b). Which is greater: z or 4\/243?\nAnswer: 4\/243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + -4?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)*p*p**(-10)*p*p*p\/p**(-17)*p*p**(-6\/5)\/p assuming p is positive.\nAnswer: p**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-79590)\/630)\/((-61)\/(-3) - 2) - -7. Sort -11, 0.4, x, 3 in increasing order.\nAnswer: -11, x, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12401762?\nAnswer: 2, 41, 151241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48\/7 + 104\/7*u - 10\/7*u**3 + 44\/7*u**2.\nAnswer: -2*(u - 6)*(u + 2)*(5*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 4 - 5 - 5*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(187))\/sqrt(11).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70487, 70483, 70479, 70475, 70471, 70467?\nAnswer: 70463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33827661457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Let j be 24\/9*3*3\/12. Suppose j*d + 17*v - 20*v = 31, 2*d - 33 = 5*v. Which is the second smallest value? (a) d (b) k (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549*x**2 + 9 - 1 + 1 - 8.\nAnswer: 549*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 10, u: 2, c: 2}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbcd when four letters picked without replacement from ddcbwddb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/79? (a) -1 (b) -4\/5 (c) -20 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66293060, 132586122, 198879184, 265172246?\nAnswer: 331465308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375843256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1945153?\nAnswer: 7, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4349 - 397217.\nAnswer: -392868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-2\/3))*c**(1\/7))\/((c*c**(3\/16)*c)\/c**(2\/9)) assuming c is positive.\nAnswer: c**(-2509\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 8*r + 3. Let h be z(-7). Suppose -7055 = 2*l - 7*l. Let a be h\/(-12) - l\/3. Round a to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1246797 divided by 13.\nAnswer: 1246797\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f - 33?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83 - 76 + 143 + 4*y + (3 - 4 + 4)*(-3*y + 5*y - 3*y))*(0*y + 0*y - y**2) to the form x + r*y**3 + j*y**2 + u*y and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 38*j**2 + 36*j + 5. Let c be x(18). Solve -9 = -2*u - 5*r + 22, 0 = -c*r + 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 87*u**7\/7 + u**5\/5 + 7*u**3\/3 - 90*u - 2800. What is the third derivative of h(z) wrt z?\nAnswer: 10440*z**3 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - -2*sqrt(85))*1 + (-6*-2*sqrt(85) - sqrt(85)))\/(sqrt(15)\/(sqrt(243)*2 + sqrt(3))*1).\nAnswer: 266*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -0.047068997.\nAnswer: 11.952931003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3486.8, 0, -3 in decreasing order.\nAnswer: 0, -0.2, -3, -3486.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v - 14*v - 4*v + v**3 + 4*v**2 to h*v**2 + z + c*v + g*v**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -1049bb4d?\nAnswer: 1049bb4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 10. Let p be a(-7). Suppose -7 - p = -2*d. Suppose 30 = 3*i - 3*j, 0 = -d*i - 3*j + 6 + 12. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = -0*s, w + 508 = 5*s. What is the units digit of 75\/(-15) - w\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 8*b. Let s be y(-8). Suppose -7*p + 5*p + 88 = s. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 334838000 to the nearest one million.\nAnswer: 335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 778306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 65734901 divided by 13229\nAnswer: 4969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 45 = 4*a - 5*a, 5 = a. Let v(n) = 5*n + 1. What is the remainder when v(6) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 5:38 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((162 + 7 - 20)*(-3 + 4 - 3) + 1 - 3 + 3)*(2*s - 5*s + 5*s).\nAnswer: -594*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*u - 1, -8*i - u + 24 = -3*i. Put i, 6, -8 in descending order.\nAnswer: 6, i, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -246 + 1. Let l = -34 - x. Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 + 1520044*l\/11 - 155023680\/11.\nAnswer: -2*(l - 759920)*(l - 102)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 132.44?\nAnswer: -2.6488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -228, -1314, -3116, -5622, -8820?\n\"Answer: 2*x**3 - 370*x**2 + 10*x + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21758608 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: In base 7, what is 0 + 26544?\nAnswer: 26544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**4 - 765*x**3 + 990*x**2 + 166685*x + 604500 = 0. Calculate x.\nAnswer: -75, -13, -4, 31\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 0 + (-17 - -10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*-1 + sqrt(1539))**2 + (1*sqrt(475) + sqrt(475))**2 - ((sqrt(304)\/sqrt(72))\/((sqrt(64) + sqrt(16))\/sqrt(8)))**2) + 4.\nAnswer: 154205\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 72068.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 20225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46485266.\nAnswer: 2, 23242633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-384)\/1056 + (-2010)\/(-22) is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, d: 2}. What is prob of sequence qd?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millennium in months?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -588 - -2976\/5. Find the common denominator of -17\/11 and o.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6) + 6 + (-152)\/20\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2067, -2088, -2107, -2124?\nAnswer: -2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786359 is divided by 27066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51024693 by 51024693.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4619*j**3*q**3 + j**2*q + 3*j*q**2 - 86*q**3 wrt j?\nAnswer: 27714*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 4. Let n be o(-6). What is n rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305 and 12640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 1894 = 8*c. What are the prime factors of c?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 r, and 1 i when three letters picked without replacement from {i: 1, n: 1, v: 2, r: 2, x: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21599 by -51.\nAnswer: -21599\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by -930.\nAnswer: -33\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 90 = 3*b + 2*b, 3*h = -2*b + 335. Let r = 840 - 771. What is the highest common divisor of h and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46023 + 29941 = -3758*t + 12683 + 3153 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 + 103*m**2\/5 - 648*m + 5760.\nAnswer: -(m - 48)*(m - 40)*(m - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(2\/(-5))\/((-192)\/(-720))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223, 173, -1 in descending order.\nAnswer: 223, 173, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 y when four letters picked without replacement from {y: 3, v: 8}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 766 divided by -2\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 229908*t. Let s(z) = -10*z**2 - 1. Calculate s(j(a)).\nAnswer: -528576884640*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -22. Let o = r - -15. Suppose 0 = o*w, -w = -5*j + 2*j + 3. Are -2\/15 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8415 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.065 + 0.065. Let w = 193 - 1349\/7. What is the closest to 2 in f, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2978841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2348 = -18*c + 22004. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l + 198 = l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 8*x**2 - 4*x - 2. Let y be l(9). Suppose -t = 5*g + 160, -2*g = -3*g + t - 38. Let v = g + y. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 916 - 915.9999983729. What is r rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 37 - 23 = 2*c, 10 = 2*c + 2*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -155*b**2. Let j(p) = 8*p. Give j(r(v)).\nAnswer: -1240*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -219507998 divided by 6\nAnswer: -109753999\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1310 + 1316. Let z(u) = -4*u**3 - 1 + 7*u + 5*u**3 - 2*u**3 + 5*u**2. Let m be z(q). Solve -3*v = -m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*q - 37125 + 164691. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -6 - 2. What is the least common multiple of (1 + i)\/(6\/32) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -3.6 (c) -1 (d) 2\/5 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f = 43*f + 49*f. Let m = -326 - -6848\/21. Suppose f*a - m*a**4 - 2\/21 + 4\/21*a**2 + 0*a**3 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 292. Let z = 222.119 - h. Let f = -0.019 + z. What is the fourth biggest value in 0.01, -4, f, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 8*y = -2*o + 2, 2*o + 12 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (10 + 14 + -61) - (1 + 65)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1279 (b) -1\/53 (c) 4 (d) 14 (e) -4 (f) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 15?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjm when three letters picked without replacement from {j: 1, x: 1, m: 13, e: 2}.\nAnswer: 13\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/110 - 43*y**4\/66 - 14*y**3\/11 + 1116*y. Factor j(z).\nAnswer: -2*z*(z + 1)*(z + 42)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109019, 109142, 109337, 109604, 109943?\nAnswer: 110354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, r: 5, y: 4, x: 2}. What is prob of sequence yru?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601640 = 35*a - 1157600. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11602*v + 37742*v - 26144*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-4))\/(5\/(-2)). Let z = a + -7\/30. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365291787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4548 is divided by 314?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2. Let k(i) = i + 5. Let c(v) = -2*k(v) + 5*t(v). Let y(h) = 17*h**2 + 4*h. Determine c(y(q)).\nAnswer: -34*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 83.8 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-60)\/25)*(6 + -2). Solve -5*k - 10 - o = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1331322300?\nAnswer: 1331322303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102.143 rounded to the nearest ten?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61537 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -749822 = -5*v + r, -5*v + 311*r + 749829 = 309*r. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -904477 divided by -81?\nAnswer: 904477\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikweu. What is prob of sequence weu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -931 - -930.9397. Let p = w + 0.1132. Round p to 3 dps.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**8\/280 - z**7\/105 + z**6\/180 + 2*z**3\/3 - z. Let q(d) be the second derivative of t(d). Solve q(w) = 0 for w.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 15 = 9*l, v - 36*l + 39*l + 9 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -37334\/7 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111456*0.08.\nAnswer: -8916.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 smaller than -5645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**4\/4 - 8*y**3\/3 - y**2\/2 + 11*y - 4. Let c be v(8). What is the derivative of 1 + 6 - 4 + c*w - w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 41 + (-7 - (-7 + -18 + 36)) + 19.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 + 17 + 2 + 57129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 33228\nAnswer: -1\/11076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -3397532296871.4?\nAnswer: 3397532296871.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b + 42. Calculate the remainder when h(14) is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t = -55*t + 55*t - 228. Let 0*b + 0 - 2\/13*b**t + 2\/13*b**4 - 4\/13*b**2 = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2 - 3 + 5 + 1 + (1 + 12 - 4)*(1 - 1 + 2) - 1 - 1 + 1 + 4 + 3 - 5 + 2 - 1 - 2)*(-5*d**5 + d**5 + 2*d**5).\nAnswer: -46*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j**4 + 172*j + 4700 wrt j.\nAnswer: -28*j**3 + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {y: 6, f: 2, w: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 13) to base 11.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*7\/105)\/(4\/((-16)\/(-10)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2*2\/4. Let u = 69 - 143\/2. Let f = -0.57677 - -0.57677. Which is the closest to p? (a) u (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 3 - 13. Suppose -s + h*s = -2*g - 3, 5*g = 3*s + 9. Let n be g + (28\/18)\/(-7). Which is the second biggest value? (a) -4 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 7}. Give prob of picking 4 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 4*b + 1. Let f be ((-12)\/(-2))\/3 + 1. Suppose f*j + 2*d = 20, j + d = 2*j. Let t be w(j). Solve t + 3 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/13 - 95020*j\/13 + 17008686.\nAnswer: -2*(j - 2223)*(j + 49733)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*p + 3*o - 104 - 22, 3*o - 14 = -25*p + 23*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 8*q**2 + 8*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2198 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/17)*m**(-4\/7))\/(m**3\/m**6)*((m\/(m*m\/((m**(-1\/4)\/m)\/m)*m))\/(m*m**6))\/(m**(-2))**(11\/4) assuming m is positive.\nAnswer: m**(-1609\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/2*(-12)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -64*a + 505. Let z = -9362 + 9370. Determine s(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 18*n**2 + 15*n + 9. Let j be c(-8). Solve -h + 22 = j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68*m**2 + 98*m - 5*m**3 + 111*m**4 - 96*m + 7*m**3 wrt m?\nAnswer: 2664*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 321 + 455. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35241.6 rounded to the nearest one hundred?\nAnswer: -35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.2 - -0.2. Let k = q + 14. Let j = 10.62 - 12.62. What is the second biggest value in j, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 804 * -0.5\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 5160, -0.041?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268692 is divided by 266852?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g - p - 40 = 31*g, 0 = -4*p - 4. Sort 0, g, -3, -1 in decreasing order.\nAnswer: 0, -1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 945290202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*w = 40, 2*m = -2*m + 3*w + 28. Solve -5*g = 2*s - 8, -g - 3*s + 2*s = -m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19e2 (base 15) to base 12\nAnswer: -32b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105510791497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.03, -0.3, -4, 5 in decreasing order.\nAnswer: 5, 2, -0.03, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n = -12. Let l be 3\/n + 22\/8. Suppose -6*v + v = -5*x + 15, l = -2*v + x. Solve 11 = -2*i + v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -284, -438, -592, -746?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 3, 2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + (sqrt(396) + -5 + 1 + sqrt(396) - sqrt(396)) + -1.\nAnswer: -2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 8*r**2 - r + 7. Let q be f(-8). Let s = q - 8. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 - 35*s - 236. Let n(j) = -8*j**2 + 49*j + 354. Give 5*n(b) + 7*q(b).\nAnswer: -5*b**2 + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003028077 to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/3 + 256*i**3\/3 + 2*i**2 - 772*i\/3 + 512\/3 = 0.\nAnswer: -2, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 100 in decreasing order.\nAnswer: 100, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 180787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305975822?\nAnswer: 2, 499, 306589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1901, -3851, -5853, -7907, -10013?\n\"Answer: -26*a**2 - 1872*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 62. Let r(q) = -6*q - 4. Give r(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -491, -960, -1417, -1862, -2295, -2716, -3125?\nAnswer: -3522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-57 - 5850\/(-104))*16\/(-18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 37. Let g(c) = -16 - c - c**3 - 10*c**2 + 0*c - 8*c. Let p be g(-9). Let a be t(p). Solve -a*i = -x - 2, 3*i - 4*x - 4 = -2*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914465 a multiple of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.531695 rounded to two decimal places?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.91 - -2.90739. What is f rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12\/5)\/j*j)**(7\/3) assuming j is positive.\nAnswer: j**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1528293, 1528298, 1528303, 1528308?\nAnswer: 1528313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 1692 = 138*h + 132 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**7\/210 - u**5\/60 + u**3 - 2. Let a(n) be the third derivative of x(n). What is the second derivative of a(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37624 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 16, 4*g + 4*x + 316 = 3*x. What is the hundreds digit of -3*10\/(-6)*(-2848)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 30737 - 88248 = -4*c, -3*c + 89240 = 2*b. What are the prime factors of c?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*m = -121*m - 32. What is the greatest common divisor of 28 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 + 4*j**2 + 2*j**2)*(2 + 1 - 4) + 13*j**2 + 2*j**2 + 15*j**2.\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-36) + (1\/2 - 0). Let v(u) = -16*u**2 - 12*u - 12. Let p(m) = -m**2 - m - 1. Calculate n*v(h) - 12*p(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5 + (sqrt(99) - (3 + sqrt(99))) - sqrt(99)) + sqrt(99))**2 + ((sqrt(704) - -1*sqrt(704)*-1)*2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20281*m**5 + 670108*m wrt m.\nAnswer: -405620*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 less than 6686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 306*h + 3357. What is the thousands digit of j(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k = 84. Let x be k\/28 + 93\/4. Solve -10 = 5*p, -4 = 3*u - 4*p - x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1 (c) -4\/3 (d) -1\/5 (e) -2\/19 (f) 1.567\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-800)\/(608\/(-19))*(6\/(-20))\/(2\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 7*w + 25. What are the prime factors of r(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/416 and 99\/779840.\nAnswer: 10137920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-8))\/((-9)\/(-36))*(-176)\/((-16)\/(-2)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000862725787 rounded to seven dps?\nAnswer: -0.0008627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + 2 - 2)*(-56 - 86 + 45).\nAnswer: -97*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438c19 (base 13) to base 16.\nAnswer: 1844d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1, 24, -3, 1 in ascending order.\nAnswer: -5, -3, -2, -1, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8196197.\nAnswer: 1307, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -240 + 332665?\nAnswer: 332425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/9 + 40*p\/9 + 46\/3 = 0.\nAnswer: -3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72842157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16554870 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 12, -5*v - 1495 = -4*k - 0*k. What is the common denominator of 2\/8*(-364)\/2 and 1\/((-25)\/k*2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -20*y + 432. Suppose 0 = 3*o + x - 207, -3*x = -5*o - 0*o + 345. Suppose o = 4*q - 51. Calculate the least common multiple of q and l(21).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976 (base 10) to base 2.\nAnswer: 1111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 e when three letters picked without replacement from qyoyeyoooeooyo?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/60*((-30)\/9)\/5*18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81190301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + 17. Suppose 0 = 5*q - 0*q - m. Suppose 5*u = u + q. Round u to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {r: 2, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + v - 17 = -6, -4*r + 2*v = -20. Suppose -2*x - 2*a + 9 = -r, 4*a + 40 = 4*x. Factor -3*m**2 + 4*m**2 - x*m - 4*m**3 + 10*m + 2*m**2.\nAnswer: -m*(m - 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2\/4 + 5780*t + 33408400 = 0.\nAnswer: -11560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -4*x - 10. Suppose x*y + 0 = 15. Sort -5, y, -3 in ascending order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = 5*y, -26 = 2*k - 2*y. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmg when three letters picked without replacement from {g: 5, t: 5, m: 2, h: 1, v: 1, r: 5}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 16*m**2 + 14*m - 7. Give i(-12).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(238\/(-60) - (-426)\/1420 - 4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 + 12*s - 72. Let w(n) = -n - 2. Let c be w(-21). Is y(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k - 2*k. What is the derivative of -5*u + 0 + k + 3 wrt u?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uobouuu. Give prob of picking 1 b and 3 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*n + 7560 = 303*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82, 226, 514, 1012, 1786, 2902, 4426, 6424?\n\"Answer: 11*v**3 + 6*v**2 + 49*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57926 and 116798?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5 = g, 9*s = 4*s + 20. Suppose 0*f + 21 = g*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 3*s**4\/4 - 5*s**2 - 4*s. Is t(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11032 (base 5) to base 10.\nAnswer: -767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 0*t**2 + 2*t**2 - t**2 - 5*t to the form y*t + p + a*t**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2335?\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381.3 plus 2?\nAnswer: 1383.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w + 2*w - 3*a - 7, w - 4*a = 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**2 + 13*f - 233. Determine r(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 4505 - 4505 + i. What is h(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 244 = 368. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*a - 371 - 1369. Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) 4 (c) 2 (d) 1\/8 (e) -711 (f) -3 (g) 2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -10*o + 2. Let a(h) = 27*h - 6. Let g(k) = 3*a(k) + 8*n(k). Let f(d) = -3*d + 10. Let y = 14 + -10. Let z be f(y). Determine g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003583 rounded to 7 decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqcqprppbtrcrc. What is prob of sequence bp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 27*c + 181. What is the smallest common multiple of q(-10) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 less than -0.043?\nAnswer: -19.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19904*a*p**2 + 207*a*p + 56*a + 15*p**3 + 15*p wrt p?\nAnswer: 39808*a + 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32340 + -12313. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-15)*1)\/(74\/222)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039707 to six decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14283 - -450. List the prime factors of g.\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-6))\/(4\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/12*3\/2. Let c = -2\/2331 + 223786\/11655. Let d = 657\/35 - c. What is the second biggest value in 0.3, d, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:52 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/23902 and 41\/4726306.\nAnswer: 89799814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*g**2 - 10*g**2 + 7*g**2)*(8 - 1 - 2) to z*g + p*g**2 + j and give p.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-12))\/((-2)\/(-246)). Let m = 43 - q. Solve -18 - 4 - 20*l - 2 - 4*l**m = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1 - 6*o + 4*o + 0. What are the prime factors of f(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:56 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 394 + 1454 = 0. Suppose m*w = 467*w - 575. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > 1.710698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.22 - 25.8. Let f = h + -0.22. Let z = f - -2.88. Round z to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z**2 + 15*z + 94. Give i(23).\nAnswer: 5200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1004*d - 3*d - 652*d)*(4*d**2 - 3*d**2 - 3*d**2).\nAnswer: 3318*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 + 146*b + 356. Let q be y(-25). Solve q = 26*w + 31*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -216.0511654 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -0.2. Let w(f) = -9*f. Let t be w(4). Let s be (-8)\/(-32) + 1\/t. What is the smallest value in 4, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-9126)\/364 - -25).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*p + 10 = -2*o - 88*p, 22 = -4*o - 3*p for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 f, and 1 g when three letters picked without replacement from {a: 1, m: 2, g: 1, c: 2, f: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 10 + 2. Let g be (0 - 6\/(-9))*u. Let l = 6 + g. Calculate the remainder when 5 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22024)\/(-36) + 12\/54. Suppose -6*a + 1398 + n = 0. What are the prime factors of a?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-20)\/(-8)*-1)*(-316)\/(-15405)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 3*u - 3*u + u - 2*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*q - 33*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8000\/96 + 1\/(-3). Suppose 14*d - o - 337 = 0. Does d = 144\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose 2*o + 4*q + 2 = 14, i*o - q - 15 = 0. Suppose -c - 4*c - 4*a = -47, 4*a = -o*c + 36. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)\/(sqrt(27)\/sqrt(3) + sqrt(9)))\/(1*sqrt(1728) + sqrt(12)))**2.\nAnswer: 3\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddepevdedeppdpv. What is prob of sequence pe?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5*r + 2\/5 + 2\/5*r**4 + 12\/5*r**2 + 8\/5*r**3 = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 + 18 - -15) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 15. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1520\/(-2660))\/((-340)\/42))\/(12\/80)?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 5*l**2 + 3. Let p be t(5). Suppose -7 + 23 = -2*j + 2*n, -3*n + 12 = 0. Which is the second smallest value? (a) p (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 5*r**2 + 4*r + 5. What is t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/4)\/((-126)\/84) + (-21771)\/(-27) is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, v: 2}. What is prob of sequence vx?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:02 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4286 is divided by 484.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 8, d: 4, g: 2, s: 1, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 18 - 6*r + 8*r - 1. Let f(i) = 4*i**3 - 1. What is the lowest common multiple of f(1) and h(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 682305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1\/3, 20, 4, -184, 2\/13?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11\/10 - -14\/15. Suppose 0*x - 3*x = -6. Let d = 14.2 - 15.5. Put x, d, v in increasing order.\nAnswer: d, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:02 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 144530 (base 7) to base 10\nAnswer: 28049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(891) - sqrt(891)*2) + 3 + -1)*2)**2 + 4.\nAnswer: 216*sqrt(11) + 3604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 1. Let u = -0.81 - 1.89. Let h = 0.3 - u. Which is the smallest value? (a) -1 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520991715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1 + -4 - (1*sqrt(80) + sqrt(80) - sqrt(80)))**2*-5 - (4 + 1 + sqrt(35)\/sqrt(112)).\nAnswer: -710 - 801*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059 take away 6.21?\nAnswer: -6.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*i + 4818 + 8510 = 0 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004739482163 rounded to 6 decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 y, and 1 e when four letters picked without replacement from vyoveyt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2. Let z(q) = 21*q - 20. Calculate v(z(b)).\nAnswer: 2205*b**2 - 4200*b + 2000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -730 - 572. Calculate the highest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 10) to base 3\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123161?\nAnswer: 79, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(871\/(-871))*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 - 4 = 0. Suppose -3*z - 7 = -r. Let j(t) = -t**3 - 4*t**2 - 4*t - 2. Calculate j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48970280 to the nearest integer?\nAnswer: 6998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7\/4)\/p**(-10))\/(p**3)**(9\/2))**(-13\/6) assuming p is positive.\nAnswer: p**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59)\/(8319\/36)*29\/116.\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 443201.6 years?\nAnswer: 5318419.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*q + 2, -5*p - 2*q - 2 = 1. Let b(t) = -4*t + 0*t**2 + 24*t**2 + 8*t + 2. Let o be b(p). Solve -o = -v + 5*v + 3*k, -4*v = 4*k + 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5, -6*y + 2*y = -4*b - 20. Solve y = 2*n - 5*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -586583\/1231 or -476?\nAnswer: -586583\/1231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 36. Solve -p + w - 6 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22, 12, -28, -98, -198, -328, -488?\n\"Answer: -15*x**2 + 35*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 0*a - 2*a)*(-3 + 2 + 2) - 2*a + a + 2*a + (0 - 3 + 0)*(-a + 5*a - 5*a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 24. Let b be (-1 - o)\/(15\/10). What is the second derivative of 0*f**5 - b*f**5 + 6*f**5 - f + 2*f**5 wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-10)*(-500)\/70.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5254)\/(-222))\/(1\/(-3)). Do -72 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-18)*-2*29. Let t = 3917\/9 - 435. What is the third biggest value in 0.3, 0, h, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19249030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5208 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 981 = -6*d - 3*n, 402 = -2*d + 2*n. What is the common denominator of -3 and (d\/(-48))\/((-6)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.5 and 633.147.\nAnswer: 635.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/10 of a week?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 7 = 0. Let n = q + 2. What is the second derivative of 4*p - n*p**4 + 8*p**4 + 0*p wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 8:34 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/(sqrt(112) + (sqrt(112)*-1 - sqrt(112) - sqrt(112))))\/(sqrt(24)\/sqrt(864)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15873367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659 is divided by 456?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/988 and 43\/78?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s**4 - 88369*s**2*w**2 + 676242*w**2 wrt s?\nAnswer: 12*s**3 - 176738*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 19?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 4 + 4 + (192*w + 75*w - 43*w)*(-37*w + w + 6*w).\nAnswer: -6719*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.21, -0.1, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(11)*-2) + -1*sqrt(304) + -1*sqrt(2736)*-6)**2.\nAnswer: 346275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -286, 10, -2\/3, 1, -2.\nAnswer: -286, -2, -2\/3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -340bd - -4?\nAnswer: -340b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24457 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) 1 (b) -31 (c) -1\/7 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3032?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 8. Solve -t = 3*f + 2*f - 16, -z*t + 8 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.9, -4, 1\/2 in descending order.\nAnswer: 1\/2, 0, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/256 or 1532?\nAnswer: 1532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 1 h when three letters picked without replacement from ihwwh.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b - 80. Let z be r(6). Is z\/(-17) - 718*(-3870)\/204 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 348\/168)*((-3 - -12) + -5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 175 + 93 = k, d = -5*k + 264. Let i = d - 161. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4718 plus 0.0445?\nAnswer: 4718.0445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 461442, 461428, 461418, 461412?\n\"Answer: 2*w**2 - 20*w + 461460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3528832049 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34225.3 - -34226. Sort 3, -6.1, q, -5.\nAnswer: -6.1, -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/27*3)\/(2\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6883548 is divided by 1550.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -88*i + 3. What is the remainder when m(-1) is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 6991 - 11499 + 944 = 0. What is the remainder when h is divided by 120?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -13*r**2 + r. Let j be m(1). Let h = -2 - j. What is the highest common divisor of 70 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57305 and 365.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/40, 3, 4?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.2406 from -2022501.\nAnswer: -2022499.7594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5425914961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 6. Let n be g(-6). Suppose -4*l + 25 = l, 3*y - l - 22 = n. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - w + 1. Let h(i) = 6*i**2 - 86*i + 131. Let p(d) = -2*g(d) - h(d). Is 38 a factor of p(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**6)\/((d\/(d\/(d**(-2\/5)*d)))\/d))**13)**(-38) assuming d is positive.\nAnswer: d**(11362\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -2 + 7*s**3 + 15*s + 2 + 4 - 3. Differentiate d(t) wrt t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14068 - 13749. Calculate the highest common divisor of 1247 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16412556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -5. Calculate the remainder when s\/4 - (-279)\/12 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -661*a*d**4*n - a*d**4 - 4*a*d**2*n + 2*a*d**2 - 2*d**3*n + d**2*n - 2*n wrt d?\nAnswer: -15864*a*d*n - 24*a*d - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.087 - -0.587. Which is the closest to 8? (a) -4 (b) 2\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -17*z**4\/6 + 5*z**3\/6 - 83*z**2 + 109*z. What is the derivative of f(o) wrt o?\nAnswer: -68*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, 0, 58, 116?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.6 - -6. Let n = -0.066 - 27.934. Let s = -23 - n. Which is the second smallest value? (a) u (b) s (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + q - 3*q)*(-4*q + 4*q - 28*q + (-5*q - q + 5*q)*(-3 + 5 - 4)) as j + n*q + i*q**2 and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1078938 - 44?\nAnswer: -107897c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 - -14.89. Let n = m + -14.86. Let b = 0.02 + n. Round b to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 8:49 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"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: Is 90 a factor of 2422366639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**5\/120 - d**4\/16 - d**3\/6 - d**2 + 4*d. Let m(j) be the first derivative of w(j). Suppose m(u) = 0. What is u?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1300 and 8.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 32*j + 88. Let c be o(35). Let s(v) = 18*v**2 + 11*v + 55. Let l be s(c). Round l to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 779 = -5*j. Suppose -5*p + j = -68. Let a = -22 + p. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7237.7 in -6\/5, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = 0, -5*d + 8*d + 93 = 4*r. Let h = -11 + r. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 2065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 651 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.82 - 0.72. Let u = m - 1.1. Which is the second smallest value? (a) u (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3 + 2*sqrt(3))**2 + -1) - (5 + (-1*sqrt(21))\/sqrt(7) + 2)**2.\nAnswer: -92 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57.04915 * -0.42.\nAnswer: 23.960643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -527, -812?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20249 - -20269. Calculate the least common multiple of b and 2936.\nAnswer: 14680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 781740?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 31\/2 and 16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:48 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**(3\/2)*n*n)\/(n\/(n**(14\/3)\/n))*((n\/((n\/((n\/n**(2\/7)*n)\/n))\/n))\/n)\/n*n*n\/(n\/n**(-3\/4)))**8 assuming n is positive.\nAnswer: n**(1534\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1\/66, -4, -0.01, -0.3, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-9)*30\/25. Solve -5*w = 2*h - i, -2*h = -4*w + w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 4*i**3 - 5*i**3 + 26 + 87.\nAnswer: -i**3 + 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1088450 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3726825 and -29\/2484550?\nAnswer: 7453650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-28 + (44 + -13 - -91)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -128 (c) 0.2 (d) 49\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*r + 3*y, 5*r - 2*y - 126 = -45. Let a = r + -7. What is the smallest common multiple of a and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 23*h - 21. Let m be x(-24). Suppose 0 = -22*g + m*g + 95. Solve n = 6*n - g*o - 45, -5*o = n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2*f**3 + 355627*f - 360351*f + 0 + 0*f**3)*(0*f - f + 0*f) to the form n*f**3 + a*f**4 + l*f**2 + s + g*f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 6*k + 2. Suppose s - 5*s = -16. Calculate the remainder when (54\/(-4) + 0)\/((-3)\/s) is divided by y(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/81 - -73\/324. Let j = 14.65 - 14.65. What is the fourth biggest value in y, j, 3\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 53153, 53149, 53137, 53111, 53065?\n\"Answer: -p**3 + 2*p**2 - 3*p + 53155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-645)\/60 + (-12)\/48. Let z(u) = -u**2 - 13*u - 16. What is z(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.84 - -36.84. Let s = -176222125 + 176222088.9999996. Let u = s + z. Round u to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22412800 by 68.\nAnswer: 329600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.435 * -4.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + 113. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 2*c + 1 + (-34434 + 34434 + 27*c)*(-1 - 1 + 0))*(14*c - c + 4*c - 2*c).\nAnswer: -780*c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 9*r + 8. Suppose 10 + 1 = 4*t + y, 0 = -4*y + 12. Suppose -t*l - l = -9. Suppose l*h = h + 14. What is f(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.36028718 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 424933?\nAnswer: 8498.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from dfzffdndcndrfzfrf.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 20751990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 2, d: 4}. What is prob of picking 1 d and 1 b?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67923, -67927, -67931?\nAnswer: -67935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198 + 667. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 425, -14, 0, 1, 3 in decreasing order.\nAnswer: 425, 3, 2, 1, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3607430 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 3. Let b be t(-4). Let j = -46 + b. What is the third derivative of 53*y**3 - j*y**2 + 5*y**2 + y**2 - 34*y**3 wrt y?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125656295.3 to the nearest 10000.\nAnswer: 125660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 2, n: 1, e: 2, s: 1, d: 2}. Give prob of sequence sd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaoaaooaaaoaaaaoaa. What is prob of picking 2 o?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 891.3154 to the nearest 10.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9883469 to the nearest integer?\nAnswer: 3144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 1957*k**4\/12 + 994*k**3\/3 - k**2 - 2297*k. What is the second derivative of m(s) wrt s?\nAnswer: 3914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -25.3 (b) -4 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -177, -181, -185, -189, -193?\n\"Answer: -4*t - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 4, q: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 (base 15) in base 8?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3186 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308608225.\nAnswer: 5, 17, 726137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 52324?\nAnswer: -52341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.85 - -4.55. What is the fourth biggest value in 2\/5, 2\/3, c, 5\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 1 + 2 - 2)*(163 + 135*m**2 - 163).\nAnswer: 135*m**3 + 135*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -67, 0.3, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5941137 by -1.\nAnswer: 5941137","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -t + 5*t - 81, -19 = -3*o + 5*t. Calculate the remainder when 24 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = -0. Let w be (u - -119)*1\/2. Let v = -36 + 60. Calculate the highest common divisor of v and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -45*a**2 + 9*a + 271. Let k(d) = -45*d**2 + 10*d + 328. What is -5*k(s) + 6*n(s)?\nAnswer: -45*s**2 + 4*s - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 7. Let v be j(14). Let c be 16\/3 + v + 3. What is the third biggest value in 26, 5\/4, -1, c?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26873078 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3742849695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222244364?\nAnswer: 2, 3, 11, 307, 30161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*o + 81 = 250*o + 248*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21013628 to the nearest integer?\nAnswer: 4584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 192368024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u. Let j be (-91)\/(-14) + (-6)\/4. Let h(x) = 0*x**2 + j*x**2 - 3*x**2. What is h(o(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w**2 + 0*w)*(-13*w - 8*w + 1 + 13*w).\nAnswer: -8*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*h**3 + 53405*h + 1891129 with respect to h.\nAnswer: 39*h**2 + 53405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(1 - 1 + 1)*(-7*s**2 + 2*s**2 + 3*s**2) + (674*s - 1178*s + 598*s)*(0 + 0 + 2*s).\nAnswer: 192*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8272*i**2 - 3395*i**2 - i + i.\nAnswer: 4877*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7)\/y**(-4))**(-18))**(7\/6) assuming y is positive.\nAnswer: y**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 37.4. Let t = 21 + n. What is t rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.518896837836 and 0.5?\nAnswer: 2.018896837836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10855211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 2295*d**2 + 117219*d - 119511.\nAnswer: -3*(d - 813)*(d - 1)*(d + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 39*z + 897. Let d be o(-23). Solve d = -47*i - 58 - 177 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o - 106 - 48*o - 111 + 217.\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbsrsbssbsrbsbs. Give prob of sequence rssr.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 8, -5*l = -4*s - 96. Let v be -3*(-7)\/(21\/4). Let a = v - s. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or -63792?\nAnswer: -63792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7. Let v(y) = -11*y + 16. Let r(l) = -6*l + 9. Let f(o) = 9*r(o) - 5*v(o). Give -4*f(k) - z(k).\nAnswer: -4*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -990, -5, -2 in increasing order.\nAnswer: -990, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 19*x**3 - 3*x**2 + 15*x - 16. What is z(2)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 12:20 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**5 - 2*a**4 + 0*a**4 - a**3 + 3*a**5)*(-3 + 5 + 3).\nAnswer: -10*a**5 - 10*a**4 - 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/24 - (-1)\/3. Let j be ((-18)\/(-30))\/(w\/(-15)). Let n = -7 + j. Solve 5*b = 2*o + 30, n*b + b + 5*o = -13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -5*c**4\/24 + 17*c**2. Let v(o) = -o**2. What is w(v(n))?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*d + 3*r - 90, -3*d = 2*r - 157. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.1254 to the nearest integer.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.908 + 8. Let w = t - 0.221. What is w rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + 5 - 1594\/6*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 - u**2 + 2*u - 2. Let s(k) = -12*k**3 - 4*k**2 + 7*k - 9. Determine -9*q(o) + 2*s(o).\nAnswer: 3*o**3 + o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 4:24 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-6)*72\/(-16). Suppose -x + 9*v - p*v + 6 = 0, -5*v + 31 = 4*x. Calculate the highest common divisor of x and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 1:14 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 q when three letters picked without replacement from {n: 4, d: 1, t: 1, q: 5, z: 2, x: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c + 12. Solve 17 = -z - c*g, -z + 2*z - 3*g = 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 175, 344, 561, 814, 1091?\nAnswer: 1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24746, -24734, -24724, -24716, -24710?\n\"Answer: -u**2 + 15*u - 24760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 3*g = -40*g. Solve -11*p - 9*p + 100 = g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822.472 nanograms to micrograms.\nAnswer: 0.822472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = u - 512. Calculate the remainder when 268 is divided by (-32 - u) + -1 + 69.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u + 5. Let j(p) be the second derivative of 5*p**3\/6 + 2*p**2 + 5*p. Suppose 0*n = -4*n + 28. What is n*j(z) - 6*o(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 78105634 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: What is the third biggest value in -0.04, 21, 2.9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8826*b**2 - 70789*b**2 - 5 + 19 - 14.\nAnswer: -61963*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**6\/120 + j**5\/12 - 7*j**4\/24 - j**3\/2 - 2*j**2. Let q be d(-6). What is the units digit of 1 + q*-1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*b - 169*b - 9*b**2 + 87*b - 13*b**2 + 23*b**2 to v*b**2 + u*b + r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8545 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 158, -2\/7, 3, 1\/3, -21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -4)*(-5)\/(-2). Let q = -3 - h. Suppose -q = -2*k + f, -18 = -2*k - 2*f - f. Solve 3*j - 3 = 3, 0 = -k*m + 5*j + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -27 + 18 + 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -502 and -0.044?\nAnswer: 22.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) - 8915\/195. Let x = n + 2851\/78. What is the common denominator of x and 19\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178206 by -6.\nAnswer: -29701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -2. Let w = -199\/3 + 67. Sort z, w, 0.2.\nAnswer: z, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 34230*r.\nAnswer: -34230*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 14. Let l(j) = j**2 - 13*j + 12. Let f be l(12). Suppose f*c + 4*c = 0. Solve -6 - 2 = -4*k - u*q, c = -4*k + 2*q + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 2:04 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2285.\nAnswer: 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:15 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1370\/8211 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:50 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 1\/5 (b) -22 (c) -3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9378 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*h*n - 6*a**2*n - 100*a**2 - 15*a*h*n + a - 3*h*n + 21*h wrt h.\nAnswer: -2*a**2*n - 15*a*n - 3*n + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12633 - -12630. Suppose -4*f - 9 = -69. What is the closest to -1\/3 in k, f, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716469003?\nAnswer: 3, 1181, 22469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38569384 and 119400.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2845*(-3)\/(-6) - 7\/((-28)\/(-2)).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0349 - 0.0651. Which is the closest to 3\/4? (a) 5 (b) -1\/2 (c) 1\/6 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of -18*(0 - (3 - 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5 + 1718428*w**4 + 1718424*w**3 - 1718428*w**2 - 1718426*w = 0. What is w?\nAnswer: -859213, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 5. Solve 0 = -4*p + y + 12, 2*p + j = 5*p + 3*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 208*s + 206*s = -8, -2*s = 4*j - 22. Let g(h) be the first derivative of 0*h**2 - 26 + j*h - 1\/6*h**3. Let g(y) = 0. Calculate y.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142271 + 142263 - 284508 - 603*h**2 to the form x + u*h**2 + b*h and give u.\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**9\/360 + 53*m**5\/120 + 3*m**4\/2 - 2*m**2 - 6. Let j(t) be the second derivative of b(t). Differentiate j(x) wrt x.\nAnswer: 168*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 45*x - 95. Determine q(47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**3\/21 + 23354*r**2\/7 - 3929144*r\/21 + 7017400\/7 = 0.\nAnswer: -35087, 6, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 52. Suppose -j + 4*q - 27 = 0, -2 - i = 5*j + 5*q. Let b(x) = -x + 1. What is the tens digit of b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/164116 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23159402*q**3*x + 8827566*q**2*x - x wrt q?\nAnswer: 138956412*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 155828*a**2 + 311668*a + 155836.\nAnswer: -4*(a - 38959)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.09*0.86.\nAnswer: -0.9374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 342 - 339. Solve r*y = 5*s + 18, 5*y = s + s + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9837006503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 6*w - 7*w. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 4 - 4)*(2*z - 2*z + z**3) + 7*z**4 + 12*z**2 - 12*z**2 + (2 - 4 + 1)*(z**4 + 5 - 5) + 2*z**4 - 2*z**4 + 2*z**4.\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 6:18 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -1) + (-118 - -125) + 18 + 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 69. Let f = 0.16 - 0.06. Let j = 0.08 + -4.08. What is the closest to t in f, 3\/4, j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 8*v**2 + 2*v**2 - 9*v**2.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 20. Let t = -5 - w. Let b = 21.3 - t. What is the second biggest value in 3, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2611 (b) -2 (c) 3\/4 (d) -1 (e) 3 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/8 (b) -1\/4 (c) -5\/9 (d) -11 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -7. Suppose c*o + 7068 = -1227. Let y = o + 1129. Round y to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 245354 + -302?\nAnswer: 245052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16256\/1778 + (-12)\/(-14). Suppose p = -3*l + 28, l = 4*p + p - 60. Which is greater: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -159 + 2?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3853b - c4?\nAnswer: 38457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-676 + 676 - 29*m)*(689*m + 216*m + 122*m - 155*m).\nAnswer: -25288*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:05 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8954 years in months?\nAnswer: 46.7448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -245?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 15*z + 24. Let y be q(-17). Which is the closest to 2\/3? (a) -3\/2 (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = -3. Let n(l) = -3*l**3 - l**2 + l + 2. Let u be n(i). Let j = -36 + 66. What is the highest common divisor of j and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3817254339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-138046)\/32 - 1. Let n = c + 4309. Find the common denominator of n and 2\/(-16) + 2\/((-4)\/6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1293, -2577, -3861, -5145?\nAnswer: -6429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 44, 76, 110, 140, 160, 164?\n\"Answer: -z**3 + 10*z**2 + z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -63*o + 6. Let i(l) = -2*l - 1. What is 5*i(z) + p(z)?\nAnswer: -73*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -55150 to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 34248257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16089.774 rounded to the nearest 100?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -11. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1221 + -1213.97. Let d = 0.03 - z. Let o = -13.2 + 13. Does o = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*u - 108, 0*u + 216 = 4*y + 2*u. What is the remainder when y is divided by 14 + (4 - (-4 - -8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/12)\/(2\/(-4))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -34*n + 150. Let q be h(7). Let p = 0.2 - 4.2. Put q, 4, p in decreasing order.\nAnswer: 4, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54916 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scccycchhccsyscch. Give prob of picking 1 y and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -148317, -148324, -148321, -148302, -148261?\n\"Answer: u**3 - u**2 - 11*u - 148306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x**4 - 27676*x**3 - 20360*x**2 + 14768*x + 7392 = 0 for x.\nAnswer: -1, -2\/5, 2\/3, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x + 90. Suppose -163 + 30 = -33*b - 1. Solve -2 = -b*v + x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 2 - -3 - (-5 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 + 4*p**2 - 3*p + 7. Let y be t(3). Is -20 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 386 + 195 - 539. Solve 53*w + i + 33 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 1. Suppose -3*o + 4 = -11. Suppose 0*b = -5*b - o. Let v be -1*(2 + -2 + b). Calculate i(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/((a\/(a**(-1\/4)\/a))\/a))**18\/(a**(-1))**16)**(1\/15))**(-37) assuming a is positive.\nAnswer: a**(-703\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*q - 96*q - 14 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7)*1)**2*-6 + 1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35291*p + 843 wrt p.\nAnswer: 35291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjj. Give prob of sequence jr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -591 + 1053. Is g a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2337b66 (base 13) in base 12?\nAnswer: -3782972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 9 - 3 = 0. Put y, -4, -15 in descending order.\nAnswer: y, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15035100 by -5.\nAnswer: 3007020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*p + 9 = -i, -i - 2*p + 14 = 0. Is 11 a factor of -1 + (0 + 176)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32271790607*a - 21*a**2 - 32271790607*a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -2. Suppose -y*d = -565 + 1957. What is the remainder when ((-1)\/3)\/(4\/d) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -347.622.\nAnswer: 356.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1774 = 4*s, -2*s + 5*y - 876 = -4*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 87 = 41. Let n(d) be the second derivative of d**5\/20 + d**4\/2 - 3*d**3\/2 - 3*d**2\/2 + 5*d. Calculate the remainder when w is divided by n(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -1\/4, 6503\/2, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 1365?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37578 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 + 57*s - 52 + (-s - 1 + 1)*(1 + 0 - 3) - 3 + 3 + s + 2 + (0*s + s - 7*s)*(-2 + 2 + 1) to the form o*s + f and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3598 and 14140?\nAnswer: 3633980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4380)\/(-135) + 6\/27. Let z(x) be the first derivative of m*x**3 - 1 + 8*x - 28*x**2. Determine p so that z(p) = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -131, -243, -353, -461?\n\"Answer: b**2 - 115*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92 * 174.\nAnswer: 16008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3624227.\nAnswer: 313, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 30*s**2 - 58*s - 46. Let l be q(-28). Solve 12*f - l*f = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 + 0*y**2 + 3*y**2)*(y - 2*y + 3*y) + 10*y**3 - 9*y**2 - 3*y**3 + 203508*y + 16 - 203510*y to r*y + c + i*y**2 + k*y**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -84735085 + -18.544\nAnswer: -84735103.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3*(-2)\/(-3)). Let c(w) = 1. Let f(b) = 2*b + 12. Let i be (76\/(-171))\/((-1)\/9) + -295. Let h = 301 + i. Give g*f(x) + h*c(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 104 = -2*r. Let f = 61 - r. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9314894 and 48143?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 96418344 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(sqrt(11) + -1))**2.\nAnswer: -24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 212*u - 208*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.259 - 0.12. Let y = 0.139 - j. Which is the biggest value? (a) -4 (b) 7\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -1\/9, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89267614?\nAnswer: 2, 44633807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15571.6351 + 0.02.\nAnswer: -15571.6151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s - 8. Put 1, -1\/2, s in descending order.\nAnswer: 1, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -77. Solve 2*h + 3 = 5*q + 2, 5*q + 3 = j*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 25*a**2 - 24*a - 22. Let j(g) = 2 - 2*g - 4*g - 15 + 3*g. What is the remainder when z(26) is divided by j(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983888.5 decades to millennia.\nAnswer: 9838.885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 q when four letters picked without replacement from {q: 6, n: 1, i: 2, m: 3, l: 2}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 380 = -80. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w + 21*w - 44*w + 0*w**3 - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 d, and 1 x when four letters picked without replacement from {f: 2, a: 2, x: 2, d: 2, k: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) -802 (c) 0.22 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*(-739098)\/(-945) + 4\/14*-2 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-105 + 12 - 14 - (1 + 3))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v - v**2 + 0 + 0*v**3 + 1\/24*v**4. Let p(b) = -2*b**2. Determine p(z(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + -1.5. Let d = -53 + 51. What is the closest to -1 in t, d, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/11 (b) -6\/5 (c) 3\/2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -20*c**3 - 100*c + 15. Let t(x) = -5*x**3 - 25*x + 4. Let j(y) = 4*k(y) - 15*t(y). What is the second derivative of j(l) wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2 (b) 5\/4 (c) -1 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -4005.\nAnswer: -4009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4255 = -258*s - 1419 - 776 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1)*o)**9\/(((o\/(o**(-4)\/o))\/o)\/(o**(5\/2)\/o)) assuming o is positive.\nAnswer: o**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197779851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14432145097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 31556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/c**(-2\/7))*c))\/c*c)**(-34)*c**(-1\/2)\/c**(-2\/7))**(5\/6) assuming c is positive.\nAnswer: c**(-695\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 1 + -5)\/(-1). Suppose 8*k - 3*k + 448 = 4*m, -5*k = u. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -170*f**6\/3 + f**5\/60 - f**4\/24 - f**3\/3 - 4*f**2. Let s be j(-1). Round s to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.7 + 4.7. Let w(k) = k**2 + 7*k + 6. Let p be w(-6). Which is the third smallest value? (a) 3 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 5*z + 3. Let k be f(5). Suppose 2*n - 5*p = -5, 3*n + 10 = -3*p + 13. Suppose n = -k*u + 36 + 18. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45942 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 176\/(-16)*(-2 - -1). Suppose -5 = -5*p - 3*q, -10*q + u*q - 11 = -4*p. Determine k so that -1\/7*k**3 + 0 - 1\/7*k**p + 0*k**2 + 0*k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -1\/3 (c) -5\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/2*n - 3\/2*n**2 - 15.\nAnswer: -3*(n - 10)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-3\/5))\/c)**(-31)*(c**0)**(1\/4) assuming c is positive.\nAnswer: c**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*r + 17 = 13, 5 = 5*p - 5*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 63*u + 670. What is v(-26)?\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45042, 44976, 44874, 44742, 44586?\nAnswer: 44412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 5*a - 6*a)*(-6 + 0 + 4)*(-6*a**3 + 4*a**3 + 0*a**3).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1433342 (base 7) to base 9.\nAnswer: 324122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 9. Suppose 3*l + f*s + s = 28, -5*l - 4*s = -36. Solve -5*i - 2*j + 6 = 0, j + l - 10 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4615301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78846*a + 60434 = -79583*a for a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 81. Suppose 12*m = -5 + r. Solve -5*g + 4*g - 5 = m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2912 in 2\/53, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121811888 - -0.1.\nAnswer: -121811887.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*x + 11308 = 723 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 + 4 = -2*v, -5*y + 2 = v. Suppose 0*g + v*a = -5*g + 98, -2*g + 5*a = -16. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -292385\/18 + 16249. Let v = l + -19\/18. What is the common denominator of v and 55\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + l - 36 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-122)\/(-305)*55\/(-10)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13276992 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: Suppose m = 2*m. Suppose -4*w + 20 = -m*w. Let p = 45 - 41. What is the third smallest value in w, p, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from ixqxxbxxxqxbxbxbbq.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 4*i - 4*i + (-2 + 3 - 2)*(-2 + i + 2) to t*i + j and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, 7, 17, -6\/11.\nAnswer: -5, -4, -6\/11, 2, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 590 - 851. Let p = 261.00000532 + l. Round p to 7 decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 5*v. What is the least common multiple of f(4) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3606*w + 2 + 1107*w - 3.\nAnswer: 4713*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -165.5 and -0.5.\nAnswer: 82.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23554296 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: Let n = -6 + 6.4. Let h = 1\/21 - -2\/7. Let p = 1 - -2. What is the closest to -0.2 in n, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31683481.6 + -1677876.\nAnswer: -33361357.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4383805 is divided by 1652.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {j: 3, e: 1, d: 3, p: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2\/9 - 152*g\/3 + 7808\/9 = 0.\nAnswer: -244, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 11) to base 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 14)\/(2 + -3). Let w = -2 - u. Let m = 43 - w. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 5*a**2 + 188*a - 396. Calculate w(13).\nAnswer: -1501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 0*w + 417 - 413 - 5*w**2. Let p(k) = -14*k**2 + 3*k + 11. Give -6*p(y) + 17*z(y).\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -7 - (-2 + 0 + 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3360 is divided by 374.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50*r**4 - 130*r**3 - 5*r**2 - 397513 wrt r?\nAnswer: 200*r**3 - 390*r**2 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -21. Let l be a\/4 - 21\/(-2). Suppose -4 = k - l. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z + 16. Determine v(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 24, -4, 1, -0.09?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5398459 + 0*w**2 - w**2 - 2699235 - 2699224 + 6*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 51 = 2. Let u(h) = -h**3 + 7*h**2 - 3*h + 21. What is u(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -29, -27, -13, 19?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 7*l - 1\/2*l**4 + 7*l**2 + 65 - 61\/3*l**3. What is the second derivative of g(v) wrt v?\nAnswer: -12*v - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 15*g + 6*g**2 - 7*g**2 + g**3 - 9*g**2 - 40 - 8*g**2. Let s be k(17). Let o = s + 135. Which is smaller: 62 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 32. Let u be b(15). What is the highest common factor of u and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 44. Let h be d(-20). Let v(o) = 3 + 0 - 6*o - 8*o. Is v(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11158, -1785, -14728, -27671, -40614, -53557?\n\"Answer: -12943*t + 24101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42699591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3 + 29. Suppose v*c - 428 = 1700. What is the remainder when c is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*w + 83 = -0*w, -p - 4*w = -11. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 143\/(-11))\/(-43) + 20845\/(-215) + 9\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + u**2 - 12*u - 11. Let t be w(-11). Let d = t + -92. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 4*s + 17. List the prime factors of c(-8).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 0*p**3 + 7 - 641*p + 643*p + p**3 to d*p**2 + b + n*p**3 + f*p and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 - 13*z**5\/60 - 2*z**4\/3 + 23*z**3\/3 + 4*z**2 + 5*z - 12. What is o(14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 20, -4, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -538 - -318. Let p = -139 - a. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162350 (base 8) to base 15\nAnswer: 1256a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 1. Let r be z(-2). Let y = -3 + 5. Let i(b) = -1 + 0 - b**y + 0 - 2*b + 0. Determine i(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*o - 7*o. Put -5, 0.2, o, 6 in descending order.\nAnswer: 6, o, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82715 or -579001\/7?\nAnswer: -82715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 65 = -100. Suppose -25 = -5*a, -w*i - 3*a - 2799 = -18*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166529 take away 0.5?\nAnswer: -166529.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 16*k + 26. Let n be q(11). Let f be 14\/14*(n + -1). Let l be ((-10)\/f)\/(5\/(-21)). Which is the third biggest value? (a) -1\/3 (b) l (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 232 (b) 4\/7 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -1b5?\nAnswer: 1c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-8) + 6\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o + 45. Let l = 13 - o. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:16 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 16*u**3 - 33*u**2 - 36*u - 151. Is o(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 66.4. Let v = -12 + 1. Let d = g - v. Which is bigger: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223826 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2484083.16ms?\nAnswer: 0.0287509625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1192*h - 13. Let a(x) = -1196*x + 9. Give -4*a(p) - 3*k(p).\nAnswer: 1208*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7169 divided by 107?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1511 plus 4?\nAnswer: 18.1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.93283kg in nanograms?\nAnswer: 77932830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-92)\/575)\/((-4)\/10). Let w = -1.3 + 0.4. Let r = w - -1.1. Which is the nearest to y? (a) 3 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 9. Let q(w) = w - 2. Let m(s) = -5*a(s) + 10*q(s). Let p be m(6). Solve 5 - 6 = l + v, -3*v = -4*l - p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1) + -3 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*g + 224, -5*o - 4*g - 1 = -278. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20614082343 and -11625.\nAnswer: -20614093968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38.2 and 3?\nAnswer: 114.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + -1 + sqrt(2))**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2. Let y(k) = -5318*k**2. Give r(y(t)).\nAnswer: 56562248*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4851440777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 59 + 60 = 3*g, 0 = -4*h - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109411370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a factor of 90811892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(209)*-2 - sqrt(209))\/sqrt(11) + 0 - (-1 + sqrt(76) + -5).\nAnswer: -4*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -153278094\nAnswer: -459834282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 1102.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225.59268 months to years.\nAnswer: 18.79939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/81)\/(4*20\/16).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1901.332 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(63) + (3*sqrt(252))\/sqrt(4) + 3).\nAnswer: -12 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Suppose -4*u + 3*u = c + 2, -2*u = 4*c. What is the derivative of -t + 0 - c + w wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -0.05 (b) 4 (c) 0.7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 383*q**2 - 1394*q + 1288.\nAnswer: -(q - 92)*(q - 2)*(4*q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (261*l**3 + 12069 - 12069)*(1 + 4 - 6)*(2 - 4 + 3) to the form j + d*l**3 + x*l**2 + r*l and give d.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 2)*(-4 - (6 + -11) - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-12)\/(-14)*(29008\/(-111))\/56.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -201.724 and 397298.\nAnswer: 397096.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b. Let m(k) = -k**3 - 4*k**2 + 2*k + 2. Let x be m(-4). Let i = x + 11. Let c(n) = 2*n**2 - i*n**2 + 0*n**2. Calculate c(h(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3185*z + 43614 - 130089 - 145238 - 3977 = 0 for z.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-156) - (-100)\/(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, -29\/3 in descending order.\nAnswer: 0.4, -5, -29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 220 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and -7.\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 134578600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3\/13))\/j)\/j**7*(j**(1\/2))**(3\/5) assuming j is positive.\nAnswer: j**(-841\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690884947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33777.82 micrograms to tonnes.\nAnswer: 0.00000003377782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {t: 11, m: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 483522 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/9 + 28*c**4\/9 - 110*c**3\/9 - 1936*c**2\/9 = 0. What is c?\nAnswer: -11, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.7 - 34.681. Let u = t + -0.319. Which is the closest to u? (a) -0.1 (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/14 - 50\/175) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/(-48) - (-17)\/(-68). What is the third biggest value in t, 2\/5, 8\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -3. Let h be (-2)\/20 + 4\/(-8). What is the third smallest value in h, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110120022020112 (base 3) to base 16\nAnswer: -65e811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 4 - 19 - 4*m. Suppose 30*p = -40*p - 420. What is the units digit of l(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-1)))**1*j\/(j\/j**6)*j**(-1\/2) assuming j is positive.\nAnswer: j**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 984 - 189. List the prime factors of g.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*n + 970, -48*n - 972 = -3*t - 45*n. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(-8*v + 94*v - 12*v) + (0 - v + 0)*(1 - 1 + 2) to s*v + l and give s.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -66 (b) -22\/17 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1646? (a) -0.08 (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzdzzdzzzddzzzzzzz?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**4 + 33638*s + s**3 - 2*s**2 - 3*s**3 - s**4 - 31794*s in the form z*s**4 + q*s**3 + n*s**2 + i*s + m and give i.\nAnswer: 1844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71\/52 in 5, 1659, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 - -235405?\nAnswer: 235352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from yaayaaaaa.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25288*a**3 + 7299*a wrt a.\nAnswer: -151728*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3311 < 155584\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 7370.\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*z - 399*z = 241*z + 1222 - 4674 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 244*f + 2. Let c(l) be the third derivative of -5*l**4\/6 - 2*l**2 - 346*l + 4. Determine c(q(u)).\nAnswer: -4880*u - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -336, -332?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171353\/230 - 10111\/10. Suppose q + 798 = 4*q. Let o = q + j. Which is the closest to 0.3? (a) o (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -5. Let m(t) = -4*t**2 + 6*t - 4. Let l(u) = -11*u**2 + 18*u - 13. Let y be 3*(-1 - (-15)\/(-9)). Let w(b) = y*m(b) + 3*l(b). Give w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millennium in centuries?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -238, 5 in decreasing order.\nAnswer: 5, 1, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17037 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from rpdkxxzkz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from lqqqqfqocqlcxccfx?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 + 3 + -2)*-1. What is the second derivative of 29*x**3 - h*x + 9*x + 3*x**3 + 36*x wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -959 + 2876\/3. Is s > 765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 80480?\nAnswer: -80474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 1406*n - 1406*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 11:37 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/78392 and -39\/109940?\nAnswer: 9015080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 22*l**3 - 9*l**2 - 3*l + 10. List the prime factors of i(3).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2858736?\nAnswer: 2, 3, 59557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 53, 66, 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 90117.\nAnswer: -2, 0, 90117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*p + 136*p - 1222*p + (3 - 1 - 1)*(2 - 2 + 2*p) - p - 2 + 2 - 3 + 3 - 2*p as o*p + k and give o.\nAnswer: -983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17 - 7 + 29*x + 3 wrt x?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(48))**2*5.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846757 smaller than 2846757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 511800 rounded to the nearest ten thousand?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -67, -118, -183?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6068 or 6067?\nAnswer: 6068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 + 125682*f + 64618020 = 0. What is f?\nAnswer: -510, 63351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3302370 and 8100?\nAnswer: 33023700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.2 - 26. Suppose 9 - 3 = 3*p. Let x = -1 + 0.8. Which is the closest to 1? (a) x (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*y + 15 = 0, -4*y + 128 - 116 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*i + 6. Let v be 2 - (21\/(-7) - i). Solve -v*c + c = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 15) to base 5.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 1. Suppose -3 - 12 = -3*y. Let u(x) = 156*x - 9. Let l(a) = y*t(a) - u(a). Is l(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -168 + 191. Suppose -3*b = -5*b - 5*h + v, -2*b + 3 = h. Let j be ((-16)\/(-60))\/((-6)\/5). Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 921*-7.\nAnswer: -6447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) - ((5*1*sqrt(144) - sqrt(144)) + sqrt(144)))\/(-4*sqrt(50)*-3).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 21, 42, 71, 108?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3302079915 rounded to five dps?\nAnswer: 0.33021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -1 + -1 + 2. Suppose -k - 2*k = 5*v - 86, 2*v - 2*k = 28. Let y = g + v. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27541.4 + -27541. Sort 393, 1\/3, x in descending order.\nAnswer: 393, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 + 23213*s - 19*s**2 - 23208*s)*(-4*s**2 - 2*s**3 + 4*s**2).\nAnswer: 26*s**5 - 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let b = 1.83 - 1.9. Let x = 2.07 + b. What is the closest to x in 1\/3, -4\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 641442 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/5 + 86499*g\/5 - 6156552\/5.\nAnswer: 3*(g - 71)*(g + 28904)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 233*j + 80. Let f be q(0). Let x = 11 + 1. Let o = -4 + x. What is the highest common divisor of o and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/72 and 37\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7098 and 153741497.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 329253251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*x - 28 = 2*g, 14 = 3*g - 4*x. Suppose g*r - 300 = -0*r. Solve -5*b + r = -3*p, -b = -3*p - 3*b - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - -95. Let m(i) = -3*i + 4. Suppose g - 5 = -2*v, 5*v + g - 3*g - 17 = 0. Let c(f) = 3*f + f - 3 + 2*f - v*f. Determine t*c(n) - 3*m(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19812*y**5 + 7*y**4 + 2*y**3 - 28*y**2 - 3073*y - 1.\nAnswer: -1188720*y**2 + 168*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 38 - 196 = 0. Suppose -3*j + j + b = 0. Calculate the remainder when j is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 25. Let u be b(-21). Find the common denominator of 55\/52 and u\/14 + 3013\/(-3542).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/8351 and -65\/193266.\nAnswer: 1352862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14897 greater than 14900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46\/(-8) - (-41)\/(-164). Let o be ((-10)\/z)\/((-70)\/(-168)). Sort 2, 1, o in descending order.\nAnswer: o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13396359?\nAnswer: 3, 4465453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i - 2*i + 5*i)*(-4 + 1 + 1) - 3*i + i + 5*i)*(0*i**3 - 6*i**3 - i**3).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 5685861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -51, -91?\n\"Answer: -40*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:30 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8283408 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 6, -37 in decreasing order.\nAnswer: 6, 3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-54)*(-6)\/8*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q = -18*q + 28 - 28 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12\/11, -5, 2, -81, 147?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1969 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1594950*0.3.\nAnswer: 478485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4784 and 47242?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001 + 10010111?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23246*r**2\/5 - 116226*r\/5 + 4 = 0 for r.\nAnswer: -5, 2\/11623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58049648.\nAnswer: 2, 29, 125107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n - 3*n)*(0*n**2 + 2*n**2 - n**2) + n**3 + 4*n**3 - n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*z - 8, -4 = 2*z + 3*o - 0. Suppose 5*c + z = 3*c. Does 13 divide (-30)\/((-1)\/c*-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 2*i - 7. List the prime factors of h(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -2 - 4\/(-1). Let c = x + 5. Solve -c*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 204*y = 200*y + 28, -m - 7 = -y. Let t(f) = -f**2 + 61. Calculate t(m).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62495905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:55 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1498 divide 281590874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) - (1 + sqrt(51)\/sqrt(3))))*2*-6 - ((sqrt(204) - -1*sqrt(204))*1)\/(sqrt(96)\/sqrt(2)).\nAnswer: -13*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608088189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4613183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*a**3 + 172*a - 94*a**3 - 3 + 48*a**3 as f*a**2 + m*a + x*a**3 + j and give m.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4991559.\nAnswer: 3, 37, 193, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2474 + 2480 - 4954 + 26*a**3.\nAnswer: 26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**3 - 51*d**2 + 8*d + 7. Let n(i) = -9*i**3 - 111*i**2 + 17*i + 15. Let c(a) = 5*n(a) - 11*r(a). Calculate c(7).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(22)\/sqrt(2))**2)*1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1076, -3, -5, -1 in increasing order.\nAnswer: -5, -3, -1, 1076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (-17 + 19) - (-18 + 21)) + -51 + -1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**2 + 1 + 791*k + 12*k**2 - 1 - 5*k**2 to the form u*k**2 + l*k + n and give l.\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4390*w**4 - 163*w**2 + 4913 + 179*w**2 - 4369*w**4 - w - w wrt w.\nAnswer: 84*w**3 + 32*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 - 86487*k**2 + 1469412*k = 0.\nAnswer: 0, 17, 28812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110*c*l*x**3 - 22*c*l - 2*c*v - 32*c - 2*l*v*x - 464*l*x**3 + 2*l*x**2 - 4*v*x**2 + v*x - 2*x wrt c.\nAnswer: 110*l*x**3 - 22*l - 2*v - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -351, -550, -775, -1026, -1303, -1606?\nAnswer: -1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168 - 168.4. Which is the third biggest value? (a) 1\/2 (b) -6 (c) -1\/2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s - 73 - 53 = 215 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*v**2 - 1\/4*v**3 + 8*v + 24 = 0 for v.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -99038457.1 and -0.0577.\nAnswer: -99038457.1577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2. Let a(k) be the first derivative of k**2 - 2. What is a(l(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -t - 5*g, -66*t + 62*t = g + 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87331\/22 at least 3971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 - 9*p**2 - 4. Let m(t) = 5*t**3 - 19*t**2 - 9. Determine -9*g(h) + 4*m(h).\nAnswer: 2*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209850 by -25.\nAnswer: -8394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*i + 1, -3*u = 2*i - 2 + 7. Suppose 2*g + 67 = 5*m - 681, -m - i*g + 140 = 0. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61959 + -2282737. Let w = -1955304 + u. What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*2 - ((-144)\/16 + 11). Solve -10*v = -j*v - 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/5 + 4*s**3 + 37*s**2\/5 + 18*s\/5 = 0.\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, -2, 3, 10573, -81\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) - (-5 + sqrt(162) + (sqrt(162) - (sqrt(162)*2 - sqrt(162) - sqrt(162))))))**2 - (5 + sqrt(162)*2)**2.\nAnswer: -360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4729490 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, v: 9}. Give prob of sequence vv.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + z + 10 = 0, 3*z = 2*t + 4 - 2. Let q be (3 - (t - -5))*2. Determine u so that -u**3 - 4*u**3 - u - q*u + 10*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + q. Suppose -z + 0*z = -4*v - 16, 2*z - v - 11 = 0. Let c = z - 2. Suppose 6*m - c*m + 4 = 0. Let o(r) = r**2 + 3*r. What is m*o(a) + 3*l(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*z - 29. Let c be ((-24)\/(-10))\/((-2)\/(-25)). Let u = c - z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*p + 149*f - 150*f, 5*f = -p - 26. Solve -b + 3*z = -2*z - 19, -5*b + 11 = -p*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:27 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -239400 - -654977. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -11 - (-54 + 45).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082591 take away -0.6?\nAnswer: 0.517409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 58388554?\nAnswer: 233554216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*t**5 - 67*t**3 - 3*t**2 + 312336*t wrt t.\nAnswer: -1940*t**3 - 402*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. Suppose -i - 24 = -5*s, -j*i - 3*s + 23 = s. Suppose -5*u = -10*u + 35. Calculate the lowest common multiple of u and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20589020*g**3*t**3 + 11*g**3*t + 1551*g**3 - 184*g**2*t - 2*t**2 wrt t?\nAnswer: -123534120*g**3*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*x = 5*h + 56, -77 = 3*h + x. Let q = h - -52. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -422*f - 143*f**2 + 136*f**2 + 416*f - 11 - 2*f**3. Let i(y) = y**3 + 3*y**2 + 3*y + 5. Suppose 9*q + 108 = 81. Calculate q*x(c) - 7*i(c).\nAnswer: -c**3 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 12:42 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 21 = 63. What is the lowest common multiple of 36 and t?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - (-44)\/11)\/(-4). Is 2\/281 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3079 + 4328. Suppose -n + f + 574 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 1263\nAnswer: -22\/1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 585*a**4*f + 8*a**2*f**3 - 64*a*f**3 + 21*a*f**2 wrt a.\nAnswer: 7020*a**2*f + 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*33\/(-110).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4622 - 1089. Calculate the remainder when y is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689139513941 + 689139513941 + 6*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22187661.\nAnswer: 3, 31, 227, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 + s. Let l be p(1). Suppose 0 = -l*w + 10*w. Suppose w = -3*v + 12, 5*c + v + 0*v - 5509 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30010 (base 8) to base 15.\nAnswer: -399b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1085)\/(-42) - 1\/3. Let z = -28 + d. Which is smaller: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 6 - 4 - 8*v + 4. Let l(t) be the first derivative of -t**3\/3 + 2*t**2 + 3*t - 1. Let a(o) = 2*h(o) + 5*l(o). Determine a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 57\/(-15) + 78\/(-15). Find the common denominator of ((-13951)\/(-2322) + k)\/((-2)\/6) and -19\/14.\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 8*i + 7*i. Let m(k) = k - 2. Let s(u) = u - 2. Suppose -5*y + 4*y + 2 = 0. What is i*m(g) + y*s(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/108*-2*3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-27))\/((-2)\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -8 + -10 + 21 + -25 + -1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y + 6 - 2 + 5*y + 2*y**2. Determine j(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - g. Let c be d(-1). Which is smaller: c or -11\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 7*f + 3. Let g be a(-7). Suppose 9 = -3*n + 6*n, -3 = -g*c + 2*n. Suppose m - c*m = -42. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(196)*-1*-1)\/sqrt(7))\/(sqrt(4) - sqrt(12)\/sqrt(3)*-4 - (sqrt(576) - (sqrt(576) - (sqrt(576) + sqrt(576)*2)) - sqrt(576) - sqrt(576))).\nAnswer: -sqrt(7)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-10)\/(-15))\/(16\/6))\/(-1 + -1). Which is the closest to 1? (a) t (b) -2.3 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 90883488 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9136?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12 = m, -5*o - 3*m - 117 = -116 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l + 2, -4*a + 5*l = -3. Calculate the least common multiple of a and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721131 (base 8) in base 7?\nAnswer: 2011241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -21*q + 1. Let g = 215 - 213. Let y(l) = 20*l - 1. Let f(n) = g*x(n) + 3*y(n). Calculate f(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-37 - (-40 + 17))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.046 - 0.054. What is the smallest value in g, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7476)\/231 + 32 - 219\/(-330).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430 - 2*b + 35*b**2 + 340 + 4*b + 90.\nAnswer: 35*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - -24) + 43 + 0 + -8 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 0.2. Let o = 0.3 - c. Let l = -3.5 - o. Put 3\/2, l, 0.5 in ascending order.\nAnswer: l, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {w: 7, d: 2, k: 2, a: 1}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 4*z**3\/15 + 72*z**2\/5 + 1296*z\/5 - 101. Find y such that a(y) = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665\/95*21\/392.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147292*n = -1147600*n - 26180 for n.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + -2 + (sqrt(175) - (sqrt(175) + 1*sqrt(175)))*-4 + 1*((-1 + sqrt(175) + -5 + sqrt(175) - sqrt(175)) + sqrt(175)))**2.\nAnswer: -660*sqrt(7) + 6421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-6 - -6) + 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -25*q - 48. Is (292 - (-18)\/(-9)) + q\/(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/((-2)\/72). Suppose 2*o = -2*k + x, 2*k - 48 = -2*k - 5*o. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -116*g**3 + 5*g**2 + 10*g + 4. Suppose 26*i - 22*i = -12. Is n(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 1. Let v be z(-4). Suppose -2*n = 3*n + v. Put n, 1, 6 in ascending order.\nAnswer: n, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37727, -37726, -37725?\nAnswer: -37724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2069*p - 2866*p + 527088 = 58263 for p.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642 is divided by 157.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {k: 3, o: 12, z: 2, x: 1, d: 2}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 11*j**2 + 12*j + 13. What are the prime factors of q(-9)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/126*(-28)\/4*(-17)\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*w - 25. Let f(x) = -x - 8*x + 27 + 2*x - 41. Let z be f(-3). Calculate the greatest common factor of z and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*k + 123 = 0, 2 = 2*f - 3*k - 61. Solve -36 - f = -22*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -25 + (-1344)\/(-136) + 15. What is the nearest to -0.1 in 79, y, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/(u*u**27))*u*u*u*u**(1\/2))\/(u**16\/(u**(-6)\/u)) assuming u is positive.\nAnswer: u**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 0 + -1 + 0.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4434566675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -217*((-35115)\/(-3))\/5. Let k be (-33)\/(-44) - r\/4. What is k rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -3 (c) 3 (d) -9\/8 (e) -3\/7 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 + 49. Which is the third smallest value? (a) f (b) 4 (c) 6 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 + 7575*i**3 + 22755*i**2 + 22765*i + 7590 = 0 for i.\nAnswer: -1, 1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(2565\/(-38)) + ((-107104)\/(-18) - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1ab - 1169?\nAnswer: -1358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222022012121 - 2?\nAnswer: -10222022012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 2 (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -74 - (9 - (0 - (-19 - -15)))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 2*r**2 - r + 2. Calculate the lowest common multiple of i(0) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 4:11 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 9) to base 2\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1861*l**3 + 752*l**3 - 937*l**3 - 1633*l**3 + 772*l**2.\nAnswer: -3679*l**3 + 772*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714356735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -434*g**3*n + 1295*g**3 wrt n?\nAnswer: -434*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*q + 25*q - 12. Let b be 1*(24\/8 - q). Solve -j - 3 = b, 2*i - 3*j = 14 - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, c: 4, b: 10}. Give prob of sequence cc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -23*(-4)\/216 + (-7)\/14. Let t(b) = -b**3 - 13*b**2 - 22*b + 2. Let a be t(-11). Sort x, -1\/8, -4, a in decreasing order.\nAnswer: a, x, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - -1.96. What is the biggest value in 1, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 456*r**2 + 10720*r.\nAnswer: -4*r*(r - 134)*(r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62423258.\nAnswer: 2, 31211629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 != -4978222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**4\/3 - 25*i**3\/3 + 69*i**2\/2 + 3*i + 73. Let u be p(11). Let u*v**3 + 0 + 9\/2*v + 15\/2*v**2 = 0. Calculate v.\nAnswer: -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {b: 3, w: 2, q: 1, c: 3, z: 9}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.4 (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*l - 14 = 3*m - 54*l, 5*l + 25 = 0. Suppose -z + 68 = m*w - 1, z = -3. Calculate the least common multiple of w and (-7)\/(-3)*(0 - -9).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.061, -5, 2.\nAnswer: -5, -0.061, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:06 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**2 + 29*f + 90. What is the thousands digit of z(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + (sqrt(1539) + (sqrt(1539) + -1 - sqrt(1539) - sqrt(1539))*1 + (sqrt(1539) - (sqrt(1539) - (-3 + sqrt(1539)))) + -4)**2)*-1.\nAnswer: -1604 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172*i**2*j**2 + 59*i**2*j + 44*i**2 - i*j**2 + i*j + 1342*i + 44*j**2 - 1 wrt i?\nAnswer: -344*j**2 + 118*j + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 - 2130*j**2\/7 + 566046*j\/7 + 568178\/7.\nAnswer: 2*(j - 533)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120490 - 40166 - 40164 - 5*k**3 - 40160.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**2 - 42*t**2 + 14*t**2 + 12*t**2 + 9*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29490, 30562, 32348, 34848, 38062, 41990, 46632?\nAnswer: 51988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, -5, -963 in descending order.\nAnswer: -0.1, -1, -5, -963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 10*d**2 + 12. Let a be s(10). Let o be 2*2*6\/a. Let q(k) = 0*k**2 - 2*k**2 + 3*k**o. Let b(x) = -12*x. Calculate b(q(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vagc when four letters picked without replacement from {c: 1, j: 3, a: 5, n: 4, v: 3, g: 4}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5175 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*q + 19*q - 267 = 28*q. Solve -4*j + s = -15, 3*j + q*s - 3 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + 19. Suppose -2*f = p + 32. Let x = -24 - f. Solve c = 2*c - 3*z - x, c = -z + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w - 4. Let y(b) = -13*b - 1. Let m(s) = -2*j(s) + 3*y(s). Let g(z) = -15*z + 4. What is 5*g(a) - 4*m(a)?\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1911345995.\nAnswer: 5, 13, 41, 83, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m + 2 - 53 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7023 = -7*k - 6834. What is the highest common factor of k and 612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/((-884)\/(-85))*1416\/2655?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4356 = 7345*l - 7246*l for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -25. Calculate the least common multiple of o and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 118.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 566 - 595 + 2252*x**4 - 1388 - 2453*x**4 - 1268 + 3*x**3 - x wrt x?\nAnswer: -2412*x**2 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 2*n. Suppose -5*f - 17 + 49 = -3*t, 0 = -5*f - n*t. Solve 4*g + o + 20 = 0, 2*o - 4 = f*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 46.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/21)\/(30\/45).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15035 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 15. Let a(o) = -o**2 + 6*o - 3. Let v be a(6). Let k(m) = 5*m**2 + 5*m + 2. Let b be k(v). What is the greatest common divisor of b and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2 + (1 - 2). Suppose 0 = x - 2*v - 0*v - 1, h = -3*x + 3*v. Let q be (1\/(x\/(-6)))\/(-1). What is q rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -893920, 2 in decreasing order.\nAnswer: 2, 1, -4, -893920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711332.1 milligrams to kilograms.\nAnswer: 0.7113321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - l + 0*l = 862, -3*w + 504 = -5*l. What are the prime factors of w?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1995, 4006, 6007, 7992, 9955, 11890, 13791?\n\"Answer: -p**3 + p**2 + 2015*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*p = -3*p + 41, 0 = -4*h - 3*p - 21. Let v(c) = -9*c - 16. What are the prime factors of v(h)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-5)\/(-25)*(-3)\/(-24).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1170 and 24960?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 37 + (-57)\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1057, -2123, -3189, -4255, -5321, -6387?\n\"Answer: -1066*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in nine tenths of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 146059132889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -26*z**2 - 22*z**2 + 27*z**2 - 25*z**2. Let x(n) = -2*n**2 - 41*n. Determine x(c(u)).\nAnswer: -4232*u**4 + 1886*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -273 times 1.4\nAnswer: -382.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*s = 1100 - 3305. Let j = -1 - 7. What is the second smallest value in 0.1, j, s, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7160499 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 2*j**2 - 14*j**3 + 59*j**4 + 2 + 4*j**2 + 13*j**3 to i + b*j**2 + d*j**4 + s*j**3 + t*j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 803, 257, -5 in decreasing order.\nAnswer: 803, 257, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 4*x - 3. Let m be v(5). Suppose 3*d - m*d - 3 = 0. Let a(b) = -58*b**3 - 5*b**2 + 4*b - 1. Let g be a(d). Round g to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/5 (c) 0.3 (d) -86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y\/y**(2\/7))\/(y**1)**44*(y**(-1\/2)*y)**(-1\/6)*((y\/y**(-1\/4))\/y)**(17\/3) assuming y is positive.\nAnswer: y**(-839\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y - 18. Let w be (-2)\/(-6) - 2\/y. What is the third derivative of w*x**3 + x**3 - 3*x**3 + 2*x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -13\/4 (c) 1 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/30)\/(20\/84)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 - 789484*r**3 + 1947757687194*r**2\/5 + 1558215623576*r + 7791093907592\/5.\nAnswer: 2*(r - 986857)**2*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 56*t**2 - 22*t + 13. What is the tens digit of n(-56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 107 - 86. Put 4, -1, p in increasing order.\nAnswer: p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*d + 4*h, -4*d - 2*h + 23 = -15. Suppose -62 + d = -g. Let c = g + -117. Round c to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 49, -6, 4, -2, 393 in increasing order.\nAnswer: -6, -2, 0, 3, 4, 49, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -5*b**3\/9 - 13*b**2\/6 + 2*b + 27. Let h(q) = 0. What is q?\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = 2*r. Let k(d) = d - 188. Let y be k(-27). Let u = y + 224. Calculate the smallest common multiple of r and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*v = 2, 0*g = 5*g + 2*v - 29. Suppose -4*w = -g - 5, 658 = x - 3*w. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11243\/26280 - 13\/584. Calculate the common denominator of 49\/330 and o.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 42, -20, -82?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*l + 45 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18126*x - 35520*x - 2681*x + 18034*x - 20339*x.\nAnswer: -58632*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 1628?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 8 + 18. Suppose -2*z + 4786 = 5*d, 2*d = -z - k*z + 1910. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1158 - -1175. Solve k*s + 7 + 27 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757544.\nAnswer: 2, 94693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/16? (a) 4 (b) -2\/5 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 3419. Let m(k) = -2*k. Calculate m(l(w)).\nAnswer: -4*w + 6838","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1000111 (base 2) to base 7\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17688 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 - 4*j + 7. Let b be v(2). What is the tens digit of (-1 - -39)*b\/38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, -4, 0.08, -5, 2 in ascending order.\nAnswer: -5, -4, -2.6, 0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-1))\/(30\/55*1287\/351).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 891 and 0.062?\nAnswer: 55.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-42)\/(-7))\/((-297)\/(-9)). Factor 6\/11*v + k*v**2 + 4\/11.\nAnswer: 2*(v + 1)*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232 and 1131.\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 9683.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 + 2*s - 2. Let g(r) = 15*r**2 + 9*r - 9. Let f(o) = 2*g(o) - 9*t(o). Let q(u) = 43*u**2 + u. Calculate q(f(a)).\nAnswer: 1548*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8183 is divided by 2488.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by (1 - -3) + -1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 22. Determine c(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:20 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -6, -37, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202.2 + -202. Which is the second biggest value? (a) o (b) 0.11 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*j**4 + (j + 2*j - 5*j)*(-3 + 3 + 2*j**3) - 2*j**4 + j**4 - 4*j**4.\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0 - 21. Let o(x) = -2*x**2 + 2*x + 43. Let h(d) = -d**2 + 24. Let b(j) = -5*h(j) + 3*o(j). Determine b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 61994523?\nAnswer: 123989046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3636)\/(-252) + -14)*(32\/6)\/4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 420 = -4*k - 2*w, 113094*w + 496 = 6*k + 113098*w for k.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -466\/3, 1, -1\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3 - 35116*w**2 + 152549312*w + 14015335680 = 0.\nAnswer: -90, 8824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206 is divided by 427?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 1662 + -1656 + -1 + 30?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 13*v = 336. What is the second derivative of 9*k**5 - 5*k**5 + v*k + 3*k**5 wrt k?\nAnswer: 140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:16 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23710489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/(56\/(-84))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7485\/(-90)*(-72)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130572490, 261144977, 391717464, 522289951, 652862438?\nAnswer: 783434925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1957 + -1819. What is the remainder when p is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5679? (a) -1\/7 (b) -3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29330 (base 11) to base 15.\nAnswer: -c522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**7\/84 - 19*b**6\/60 + 9*b**5\/4 - 25*b**4\/12 - 89*b**3\/12 + 69*b**2\/4 - 2877*b. Solve o(a) = 0 for a.\nAnswer: -23, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-5))*x)\/x)\/(x**(-1\/13)\/x))**(22\/7) assuming x is positive.\nAnswer: x**(-1122\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.52 and -17318.\nAnswer: 95595.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 519 - 513. Suppose 5*b + n = -b. Sort 2\/7, b, -0.2, -2\/5 in increasing order.\nAnswer: b, -2\/5, -0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 24*a. Let t(h) be the third derivative of -h**4\/12 + h**2. What is s(t(z))?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 times 2683083?\nAnswer: -399779367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 130.084654\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 11 + 16 + 11 + -10 + (-1 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218557568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/218844 and 53\/6.\nAnswer: 218844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = s - 11, -2*s - 3*t + 17 = -8. Find v, given that -4 + 8 + 4*v**3 + s*v + 14*v**2 + 0*v**2 = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/5)\/((-42)\/(-280)). Let m be (b\/(-48))\/((-1)\/(-24270)). Suppose 6*k - 4*d - m = 4*k, 4*d - 16204 = -4*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q - 1694 = -39*q + 13*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v - 36360 = 147*v + 141*v + 64*v for v.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -47 (c) -2\/9 (d) -9\/2 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 7*b + 3. Suppose -5*q = -2*q + 5*i - 16, 2*q = 3*i - 21. Give a(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(13\/5)*o)\/(o*o**(-1\/15)*o))\/(o**(-1\/2)*o**(2\/33)) assuming o is positive.\nAnswer: o**(205\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 52. Let c = d + 19. Let v be 4\/c + 5\/(30\/4). Sort 5, v, -2 in descending order.\nAnswer: 5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (176*r + 66*r + 134*r)*(7*r - 4*r - 4*r)*(2 - 2 - 3).\nAnswer: 1128*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 199017 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488226 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -19*g**3 + 5*g**2 - 13*g - 37. Let f(i) = -9*i**3 + 3*i**2 - 6*i - 18. Let z(b) = 13*f(b) - 6*m(b). Solve z(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142290?\nAnswer: 2, 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 18654?\nAnswer: 17\/18654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 11*m**2 + 564*m - 2896. Give c(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 8*w + 8*w in the form u*w + n and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**4*x**3 + 12791611*f**3*x**3 + 9*f*x**3 + f*x + x**3 + 82*x**2 - 33*x - 21 wrt f.\nAnswer: 96*f**2*x**3 + 76749666*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + n)*(-634*n - 443*n + 884*n)*(-3*n + 2*n + 0*n + (0*n - 2*n + 3*n)*(-5 + 3 + 1)).\nAnswer: -386*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*g**3 - 25*g**3 - 31*g**3 + (0 + 0 - 2*g**2)*(3*g - 3*g - g).\nAnswer: -64*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 366 + -3?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*g - 451, -241 = -5*z + 3*g - 777. Let a = -104 - z. Solve 0 = -3*w - a*m - 25, 5*m = -w - 16 + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 15, -0.3, 0.5 in descending order.\nAnswer: 15, 0.5, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -131?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -39, -2, 4, -5 in decreasing order.\nAnswer: 4, -2, -3, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*h**4 + 30?\nAnswer: -72*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1.146?\nAnswer: -10.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*j + 31*j - 539 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**9\/4536 - v**8\/840 - v**7\/630 - v**3\/6 + v**2. Let h(f) be the first derivative of o(f). Factor h(c).\nAnswer: -2*c**3*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202 by 1183.\nAnswer: 202\/1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*k - 20, -217*k - 12 = 2*s - 220*k. Factor 0 - 5\/8*c**3 + s*c + 1\/4*c**2.\nAnswer: -c**2*(5*c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 4:44 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/sqrt(4) + 4 - (sqrt(1078) + sqrt(1078) + sqrt(1078)*-1)\/sqrt(11).\nAnswer: -5*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 21. Let o be x(7). Let k be (o - -2) + -6 - -74. Suppose 4*p - k = -10. Calculate the smallest common multiple of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/5 and 22\/(-66) - (-279)\/(-9450).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 10*n + 25. Suppose -n*j - 12 = -7*j. Does 13 divide 41 + (1 - j\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1502108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/4))**4\/((p*((p\/p**(-3))\/p*p)\/p*p)\/p**(-4)))**(-22) assuming p is positive.\nAnswer: p**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4769881 by -3.\nAnswer: -4769881\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -4. Let x = -9\/7 + 29\/28. Which is the smallest value? (a) x (b) 2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(150) + sqrt(150) + sqrt(150))\/sqrt(10))\/(-1*sqrt(5)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + -1 + -3 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 3*b)*(b**3 + b**3 + 0*b**3) + (-6*b**2 + 6*b**2 - 8*b**2)*(-b + 2*b**2 + b) to the form a*b**3 + d*b + m*b**4 + t*b**2 + c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzb when three letters picked without replacement from {z: 1, g: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 561 and 76483.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/9)\/(42\/(-660)). Let r be 2\/11 + 21\/((-16170)\/(-8440)). Let d = s + r. Which is the third biggest value? (a) -3\/5 (b) -0.12 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3\/7 - 1100*y**2\/7 + 24728208*y\/7 = 0?\nAnswer: -3802, 0, 3252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-12925\nAnswer: 9047.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.7 + 7. Let d = -1524.6 - -252.6. Let m = 1272.4 + d. What is the biggest value in 5, -1, s, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 1 - g**2 - 6*g**2 - 10*g + 4*g. Let y be r(-6). Let j(b) = b**3 + 2*b. Let z(w) = w**3 + w. Calculate y*j(u) + 2*z(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1034 + 3178. Suppose -19*f + 19244 - y = 0. Round f to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 77 + 25 = 0. What is the least common multiple of f and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.014251 centuries?\nAnswer: 4817.1012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 smaller than 6612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 - w + 1. Suppose 2*q - 10 = -3*q. Suppose -5*f - q = -7. What is the units digit of n(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78862080 divided by -7169280?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23559179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-96)\/80)\/(4\/(-10)). Suppose -14 = -m + 5*g, 3*m - y*g + 15 = 5*m. Suppose -11*t + 2 = -m. Solve 0 = w - 0*w + t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 - 266 = -5*x. Let r = x + -24. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 145*7\/77 - (-2)\/(-11). Suppose -h = i*h + 14. Which is greater: h or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2154 - 1946. What is the remainder when l is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3120\/7327 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4108998158 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*g - g**3 + 71*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180805580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -283*h + 19018. Calculate j(67).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 97 in 3, -2\/7, 6\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 - (130 - 116).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100228545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107796697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(192) - -1*sqrt(192))\/sqrt(12)*-2)\/((sqrt(128) - sqrt(32)) + sqrt(96)\/(sqrt(12) - (sqrt(12) - sqrt(24)\/sqrt(2))))*6.\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = 0, 0 = -4*g - b - 22 - 31. What is the remainder when (2*38)\/2 + 2 is divided by (g\/(-4))\/(1\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -890.\nAnswer: -1\/890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2)*p)**(-26\/5)\/(p**(-5\/2))**(5\/7) assuming p is positive.\nAnswer: p**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(1\/5))**(3\/10)\/((b*(b*b*b\/b**(2\/11))\/b*b\/(b*b*b**(3\/2)))\/(b*b**(-1\/3)*b*b*b*b**(3\/4)\/b*b)) assuming b is positive.\nAnswer: b**(13327\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18890 divided by 8.\nAnswer: -9445\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -64 (c) 477\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to 86629301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*(-5 - (-57)\/12). Put -4, n, -0.02, -1\/6 in increasing order.\nAnswer: -4, -1\/6, -0.02, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48375 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 21*r**2 - 4999*r + 250. What is y(238)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 63919898 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 0 - 0)\/(24 + -26)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2)*0*(-3)\/24. Let a(k) = 2*k**2 + 2*k + 315. Does 45 divide a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7470505196080 from 4.\nAnswer: -7470505196076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39818379*h**3*r + 2*h**3 - 8*h**2*r - 34612*h*r + 31 wrt h?\nAnswer: 238910274*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*n - 636*n + 3 - 17 + 220*n + 7*n**3 - n**4 + 210*n to p + t*n**2 + i*n**4 + d*n**3 + r*n and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:01 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h. Suppose 0 = 3*l + i - 5, l + 2*i - 5*i + 5 = h. Solve l - 5 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5419 - -0.7419. Sort p, -29, 5 in increasing order.\nAnswer: -29, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1557240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -17*g - 9. Let l be a(-1). What is the highest common factor of 200 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4)*1) - -3*sqrt(252).\nAnswer: 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*o - 75 + 72, 0 = -3*o + 5*q + 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 25*g - 18. What is q(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-5)*(-30)\/4. Let c = -7 + t. Let b = -13 - -18. Let q(r) = -2*r - 1. Let a(p) = 4*p + 2. Give b*q(y) + c*a(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-222)\/1110)\/(4 + -3))\/((-2)\/(-190))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 3*d + 3. Let q(i) = -36*i**3 - 26*i - 26. Give 52*j(g) + 6*q(g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 - 69. Suppose 3*h - 5*w + 77 = 0, -h + 5 - 36 = -3*w. Let u = h + c. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1031*n - 184. Let l(v) = -2060*v + 399. Calculate 6*l(i) + 13*z(i).\nAnswer: 1043*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g - g + 84. Suppose g*h - 22 = 34. Solve -4*v + 2*d + h = 0, 2*v + 3*d = -0*v - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*-1304367.\nAnswer: -37826643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18174 and 491397.\nAnswer: 12776322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, 99, 236, 501, 936?\n\"Answer: 7*j**3 + j**2 - j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -205996\nAnswer: 1\/102998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-3)*(-9)\/(-12). Suppose -2*q + 1580 = k*q. Suppose b = 5*b + q. Round b to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvujyiy. Give prob of picking 1 i, 1 u, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (160\/15)\/(-8)*(-9)\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -93, -124, -135, -120, -73, 12?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -997024842*a + 112908606.\nAnswer: -997024842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 9) in base 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-50)\/5)\/((-20)\/8). Let l be (1 + -1)*(-4)\/(-4). Solve l = -2*u - 2*m + 2, z*m - 20 = 6*u - 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -2. Suppose -r - 8 = -u*r. Solve 0 = -5*w - 5*h, r = 2*w - 0*w + h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149006?\nAnswer: 2, 11, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8699.944 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1872\/(-27))\/(-16))\/((-1)\/(-3)). Suppose p*s = 4*s. What is the third biggest value in s, 17, 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/7 + 24*j**2\/7 - 144*j\/7.\nAnswer: -j*(j - 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4724992*m + 4724836*m - 9449942*m.\nAnswer: -114*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/15 + 14\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 - 2*u - 39*u**2 - 64*u**2 + 18*u**2. Let s(j) = 2*j. Determine q(s(c)).\nAnswer: -316*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -11 + 18 + -8 - -7 - -24.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 38*o - 8. Let t(g) = -5*g**2 - 34*g - 9. Give 4*d(z) - 3*t(z).\nAnswer: 3*z**2 - 50*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 87, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.53 times -727235\nAnswer: 385434.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:01 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*m**2 - 61*m**2 - 2 - 61*m**2.\nAnswer: -18*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*p = -13, 18*t - 14*t = 5*p - 64 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.1, -39, 4\/3, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 13*c + 9 = 10*c, -5*c - 15 = -k. Which is smaller: -5\/29 or k?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16345.3 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.999 + -0.001. What is the smallest value in -4, -0.4, p, -5\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*v**2 - 8858*v + 240616.\nAnswer: -12*v - 8858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**2. Let f(k) = -4*k**2 - k. Let o = 21 + -18. Let b(u) = o*q(u) - 4*f(u). Determine b(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5 = 70*q - 65*q, -a - 5 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -243 - -247.8. Let n = 14.3 - 8.82. Let m = y - n. Round m to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 4*t**2 + 3*t. Let y be o(-3). Let g = 11\/4 + -3. Which is bigger: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 52*o**2 + 52*o + 1668. What is s(28)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6012, 12002, 17992, 23982, 29972, 35962?\n\"Answer: 5990*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.88 - -0.12. Let f = -0.6 + g. What is the nearest to 0 in 3\/2, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 2\/6 + (-84)\/(-18). Suppose y*t = -7 + 15. Let s(h) = 94*h**t - 182*h**2 + 94*h**2. Let c(p) = -p. What is c(s(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1303330?\nAnswer: 1303313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 19, 14, 7, -2?\n\"Answer: -v**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2003731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/19, -111, -1.4?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 1. Let t(x) be the third derivative of -1\/20*x**5 - 1\/8*x**4 - 1\/120*x**6 + 0*x + 0 - 1\/3*x**3 - 2*x**2. Let i be t(-2). Calculate k(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 9:04 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**3\/3 - 6*t**2 - t. Let n be d(-7). Let -p - n*p**2 + p**2 + p = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = -6. Calculate the highest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1687236 (base 9) to base 15.\nAnswer: -139866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**2. Let r(v) = -5*v. Let a be r(0). Let b = 2 - a. Let g(l) = 3*l - l - b*l - 3*l. Give c(g(w)).\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*v + 77 - 1, 0 = -3*d + 5*v + 52. Suppose -24*i + d + 0 = 0. Which is smaller: i or 2\/145?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/12 + 28*z**2. Let m(d) = -3*d**2. Determine i(m(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 2. Determine w(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3127 + 7253. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -9\/5299?\nAnswer: -9\/5299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -83. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 2, d: 1, r: 1}. Give prob of picking 1 b and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 4. Suppose -3 = 3*b - 24. Suppose -3*j + 2 = -b. Suppose -j*q = -6*q - 18. What is i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -1, 16, 4\/5 in decreasing order.\nAnswer: 16, 4\/5, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 431366854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -138 + 5?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22213 - -21?\nAnswer: 22300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*-12.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4 - 14. Suppose -38 = -2*v - r*a, 2*v + a - 36 = -0*v. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.228 - -0.28. Let u = -23.552 + k. Let n = u + 24. What is the second biggest value in 5, -1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -81. Suppose 4*w = -20, -4*d + 2*w = -7*d + 8. Calculate the lowest common multiple of f and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 equal to 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 65 - 53. Factor 4*v**j + 8\/3*v**2 + 0 + 0*v + 4\/3*v**4.\nAnswer: 4*v**2*(v + 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378.532 centuries in millennia?\nAnswer: 137.8532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + 0.1. Let w be (-4 + (-612)\/(-135))*(-12)\/(-16). Let s = -0.3 - -0.4. Which is the closest to s? (a) v (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -2\/19, -1, 0.5, -0.1, -0.031, -6\/35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 + 7. Suppose -19*a = -16*a. Let r be l(a). Suppose r*w = 2*w - 5. Is -3\/2 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 14*d + 3. Let i be o(1). Let z = -60 + i. Let p = z + 53. What is the greatest common divisor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*y, -2*t + 11*y = 8*y + 3. Solve 6*a - 4*a - 2 = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/8)\/5)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 755992262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 - 174*h - 176 = 0. Calculate h.\nAnswer: -1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = 2*u + 3*j, 0 = 3*u - 4*j - 24. Suppose u*n + 16 = -2*i, 4*n - 5 = -i - 23. Suppose -2*z - z = i*p - 107, 3*z = 3*p + 87. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362389*a - 362340*a - 317 - 761 = 0 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14220 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o + 2*o - 5*o**2 + 11*o**2 - 2 + 1 - 5*o**2. Let x(t) = -4*t**2 - 164*t - 56. Let p(c) = -8*b(c) + x(c). Factor p(q).\nAnswer: -4*(q + 12)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2. Let w(f) = -11*f - 44. Let y be w(-4). Let p(g) be the third derivative of 10*g**2 + 0 + y*g - 1\/24*g**4 + 0*g**3. Give b(p(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0781789 + -6042.73036.\nAnswer: -6042.8085389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 23 - m - m + 29. Let h be v(6). Does 5 divide (h\/(-12))\/(2\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -3*l + 208. Suppose -5*a - 2*u + 479 = 0, 4*u - 261 = -4*a + l. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = -35. Suppose -2*q - 2*q - 128 = -3*y, -2*q - 3*y = 46. Let a = q - i. Solve a = -3*g - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**3 + 13*h**2 + 159*h + 26. Let c(r) = 2*r**3 + 4*r**2 + 53*r + 8. Give -13*c(p) + 4*k(p).\nAnswer: -6*p**3 - 53*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 - 8) - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3808705 and -0.036.\nAnswer: -0.013711338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -0.31, 59.1 in descending order.\nAnswer: 59.1, -0.31, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**2 + 11*v - v**2 - 13*v to q*v + k + t*v**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:10 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22936944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 14 + -17 + 9 + -1 - -47?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 602*g + 95. Let q(l) = l**3 - 6*l**2 - 15*l - 2. Let b be q(8). Is f(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 9 - 6. Suppose 0*o - s*o = -27. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*w = 51, -y = 23*w - 24*w - 9. Suppose 9 + 51 = 6*k. Solve -14*p + y*p = -k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let z = -0.03 - 0.07. Let d = o - z. Which is the nearest to d? (a) 2\/17 (b) 2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -22*a - 779. Let g = a - -37. Solve -3*o - 3 = g*h, 3*h + 13 = 2*o - 0*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 583a (base 11) to base 10.\nAnswer: 7666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 0*n**3 + 0*n**3 + (3*n**2 - 2*n**2 + n**2)*(1 - 1 + n**2) + 5*n**4 - n**4 + 0*n**4 - 2*n**4 - 59*n + n**4 + 51*n - n**4 + 2*n**4 - 3*n**4.\nAnswer: 2*n**4 - 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 21. Let u be t(-4). List the prime factors of -1*(u - 2)*(8 + 111).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 - -191. Which is the nearest to 0? (a) 3 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 11 - 3. Suppose 4*y - 7000 = w*y. What is y rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4656 and 64830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.596 + 2.5. Is c greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l - 9 = 0. Solve 16 = -z - 0*z + l*o, -z - 3*o + 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -43*s**4 + 50*s - 4. Let r(v) = 44*v**4 - 51*v + 3. Let t(h) = -3*b(h) - 4*r(h). What is the second derivative of t(n) wrt n?\nAnswer: -564*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suttuussuuusssuut. What is prob of sequence suts?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032) + (-6*(sqrt(4032) + -1) - sqrt(4032) - sqrt(4032)))**2.\nAnswer: -2016*sqrt(7) + 197604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.371 take away 57?\nAnswer: -51.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.04 - -0.04. Suppose 22 = -3*t - 5*d, 0 = -6*d + 2*d + 16. Let f = t - -11. Which is the second smallest value? (a) 0 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/31)*n**(-1\/18)*(n**(-31)*n)**(-7\/3) assuming n is positive.\nAnswer: n**(39065\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 22 + f**3 - 3 - 9 - 6 - 3*f. Determine k(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 2*a**5\/5 + a**3\/6 - a**2 - 13*a. What is the smallest common multiple of q(1) and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**4 + 1389*j**3 - 49605*j**2 - 1389*j + 49608 = 0?\nAnswer: -1, 1, 39, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163728.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224653073.\nAnswer: 224653073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4279 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/2 - 2*g**3\/3 - 3*g**2\/2 - g - 1. Let d be (21\/14)\/((-6)\/8). What is j(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20426 (base 8) to base 11\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30132772 less than 5?\nAnswer: 30132777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -589?\nAnswer: -589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 + 237*n + 49. Give c(46).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10076 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2528\/(-1896))\/(0 + -1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 697*c + 12889. Let r be x(-18). Calculate the greatest common factor of 14 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2975998?\nAnswer: 2, 797, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -14, -2\/3, -8 in descending order.\nAnswer: 3, -2\/3, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.1. Suppose -22 = -n + 2*h, -n - 5*h = 3*n - 36. Let l = n + -44\/3. Which is the biggest value? (a) x (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 144 = 2*a. Suppose -g + 3*o - 3 = 3, -20 = -4*o. What is the greatest common divisor of g and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*y - 34026197 + 9*y + 34026197.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - u - 1. Let p(m) = 3*m**2 - 19*m - 21. Let r(q) = p(q) + 2*w(q). What is the remainder when 95 is divided by r(24)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(11))**2 - (sqrt(132) + 2*sqrt(132) + sqrt(132))\/sqrt(12).\nAnswer: -4*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633*p - 84 = -647*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/15 and 38\/7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 5*m**5 - 835*m**4\/3 - 677*m**3\/2 - 153*m**2 - 1494*m. Factor h(l).\nAnswer: (l - 34)*(10*l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 672 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)*y)\/(y*y**(2\/3)))**(-12\/5) assuming y is positive.\nAnswer: y**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 732 and 113948?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 45 = 11*u - 16*u, -9*n = -5*u - 3 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2014441323 + -1?\nAnswer: -2014441324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001010001 - -10?\nAnswer: -100001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 24 = 8. Let z(g) = 234*g**2 - 467*g**2 + 234*g**q. Let v(k) = -205*k. Determine z(v(s)).\nAnswer: 42025*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 803086 (base 11) in base 4?\nAnswer: 10323203033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68 - (46 + -107)) + (-1 - 8))*(-18)\/(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 20*r**2 - 19*r + 1. Let m be z(19). Let q(o) = -7*o**2 + 1. Give q(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 s when four letters picked without replacement from {s: 2, d: 2, m: 5}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3 (b) -1\/8 (c) 5 (d) 0.1 (e) 284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/6 + 32689*g**4\/3 + 65377*g**3\/6.\nAnswer: g**3*(g + 1)*(g + 65377)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28044559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-4066)\/76 - -49)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21044434 (base 5) to base 11.\nAnswer: -10a526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 5*p + 6. Suppose i - 12 = 4*q - i, 5*q = 3*i - 14. Let m be n(q). Let t(v) = -2 + v + 2*v**2 - 5*v**m + 2*v**2. Give t(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111001000011010111 (base 2) to base 4.\nAnswer: 1321003113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 462 - 923\/2. Let v(o) be the first derivative of 0*o + 1\/3*o**3 + 6 + r*o**2. Let t(l) = 6*l**2 + 8*l. What is t(h) - 8*v(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8533564 (base 9) to base 11\nAnswer: 2640923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than 817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019739843 to 6 dps.\nAnswer: 0.001974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44397 - 3385?\nAnswer: -47771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 111, 204, 297, 390, 483?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -10. Suppose -r*g + 28*g + 1482 = 0. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -322134 - 1?\nAnswer: -322140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 19, 41, 83, 151, 251?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 4538600?\nAnswer: 40847400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**2 + 270*r - 2950. Calculate s(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 12*q. Let p be u(6). Let z(b) = 3*b + 1. Let s be z(1). Let x(y) = -3*y - 58. Let t be x(-21). Solve p = d - s + t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 100 = k - 117, 6*k - 34 = 5*c. Suppose -2*r - 3*x + 8*x + 19 = 0, 5*r - 3*x = 19. Solve -c*s + 2 = -r*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from eveykk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(300)\/(-3*sqrt(125)))\/((sqrt(768) + sqrt(768)*-1)*6 - 4*1*sqrt(768)).\nAnswer: -sqrt(5)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 212012200210222?\nAnswer: 212012200211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -1\/3, -5, -9, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -609 and 489?\nAnswer: -297801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/33 and 21\/19756?\nAnswer: 59268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-540)*(-5)\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/108 - ((-54400)\/540)\/17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3795 + -68287\/18. Calculate the common denominator of -145\/24 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 226871 and 2.\nAnswer: 453742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 24. Let r(z) = z**3 - 10*z**2 + z - 12. Let m be r(b). Let f be (-33 + 1)\/m - 0. Solve 2*k = 6*k + f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -2611*z**6\/6 - 33*z**3 - 42*z + 9849. Find the third derivative of t(k) wrt k.\nAnswer: -156660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 5*v**2 - v**2. Let f(z) be the first derivative of z**2\/2 + 4*z + 2. Let u(j) = -j + 1. Let x(w) = -f(w) + 4*u(w). Calculate x(n(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 5032356.\nAnswer: 8\/1258089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 38 = x. Solve 0 = -2*s + s - y - 9, x*s - 3*y - 2 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.48 + -0.02. Let n = q + 0.5. Let a = -17363 + 17363.2. What is the nearest to a in -5, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380904.\nAnswer: 2, 3, 59, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6868.516 rounded to the nearest one hundred?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r. Let s(l) = 3*l - 9. Let v(d) = -d**2 - d + 21. Let g be v(4). Let p(b) = 1. Let o(u) = g*s(u) + 9*p(u). Give j(o(q)).\nAnswer: -51*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - -5. Factor -w + 34*w**2 - 7*w - c*w**2 + 2*w.\nAnswer: -3*w*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -550, 3, -4, 1, -2\/45, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)\/(f\/(f\/(f\/f**(5\/4))*f)))**(-5\/4)*(f*f\/(((f\/f**(-1))\/f)\/f)*f*f**(2\/5))**3 assuming f is positive.\nAnswer: f**(8783\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 12:22 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 416, 1076, 2174, 3704, 5660, 8036, 10826?\n\"Answer: -o**3 + 225*o**2 - 8*o + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t*t\/(t\/(t\/((((t\/(t\/(t**(-1\/4)*t)*t))\/t)\/t)\/t))))\/t)*t**(-2\/3))\/(t**8\/(t*t*t**1))*(t**(-11)\/(t**(-2\/11)*t))**(-11) assuming t is positive.\nAnswer: t**(1465\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/11*r**3 - 12\/11*r**4 + 0 - 1\/11*r**5 + 192\/11*r**2 - 256\/11*r = 0.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12752985 - -0.12846. What is i rounded to 5 decimal places?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g - 8*g - 2*g)*((0 + 0 - g)*(-2 + 5 - 2) - 2*g - g + 7*g).\nAnswer: -66*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 5*c**2 - c + 7. Suppose u - 112 = -3*u. What is the remainder when p(-5) is divided by u\/6*24\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1014421 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**2 + 13*x**2 - 4 - 8*x**2 + 29*x to the form a + f*x + q*x**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*12\/40*-1)\/5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2\/8 + 5181*k\/4 - 1431213\/8 = 0. Calculate k.\nAnswer: -3587, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 800 - 799.5. Suppose 0 = 2*r - s + 3, 3*r = -5*s + 1 + 14. Suppose 0 = -4*t + m - 19, -3*t + 0*m - 13 = -m. Sort t, r, g.\nAnswer: t, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30420743?\nAnswer: 23, 1322641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 37*u. Suppose 4*o = 10*o + 36. Let g(s) = s - 51. Let l(j) = -3. Let t(z) = o*g(z) + 102*l(z). Give i(t(p)).\nAnswer: -222*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2842 - -39829\/14. Let i = 59691\/40 + -1495. Find the common denominator of w and i.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 18*c = 229 + 134 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4327, 4341, 4381, 4459, 4587?\n\"Answer: 2*s**3 + s**2 - 3*s + 4327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331\/(-455) + 5 - (-3)\/(-39)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)**(-1)\/(i**(-5\/7))**(16\/3) assuming i is positive.\nAnswer: i**(80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -147, -2, -3, 3 in increasing order.\nAnswer: -147, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j*l**3*t*w**2 - 5*j*l**2*w**3 - j*w**3 - j*w - 3*l**3*t*w - 5*l**3*w**3 + 2*l*t*w**3 wrt l.\nAnswer: 30*j*t*w**2 - 18*t*w - 30*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82403*r**2 - 164808*r**2 + 82400*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 91*v - 99337415 = 36515585. Round v to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*w + 7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -303 + -33?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 152, 129, 106, 83?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1967384 is divided by 15739.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d - 541 + 541)*(52 - 59 + 61) in the form w*d + x and give w.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5353585*g**3 + 83*g**2 - 9906*g.\nAnswer: -32121510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((44\/40)\/11))\/12?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47164 - -66543. List the prime factors of v.\nAnswer: 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.4 + -178.6. Which is the nearest to 0? (a) 6 (b) m (c) -3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 2788623 in ascending order.\nAnswer: -2, 0, 2788623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -78. Let q = -20 + m. Suppose 11 = 5*u - q. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(-4*sqrt(800))*-1*1.\nAnswer: sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 3*w - 15, 0 = -4*w - 4. Let u be -70*(-1 - (-3 - a)). Let j = 17992 - 17957. What is the highest common factor of u and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15144 (base 8) to base 6\nAnswer: -51140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9) + 23\/3. Let a(y) = -y + 9. Let u be a(l). Suppose -3*v = -2*w - 2 - 26, 16 = u*v - 4*w. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 54\/(-24))\/(192\/(-256)).\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2557 divided by 2557.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 6*l + 4. Let p be z(-3). Let q = 2\/43 + 37\/129. What is the third biggest value in q, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**4\/4 - 4*n**3 - n**2\/2 + 16*n + 657. Calculate r(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 11:01 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1444 = -g + 5*g + 3*n, -n = 4*g - 1452. What is the greatest common factor of 56 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11771.136 nanoseconds to days.\nAnswer: 0.00000000013624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/39391 and 16\/118173.\nAnswer: 118173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 5:59 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-248)\/(-84)*6\/(-4) - (-331 - -326). Suppose 3*k = 0, 3*k - 15 = 2*u + 3*u. Let o = -327\/4589 + -2\/353. What is the nearest to o in i, u, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 2de?\nAnswer: -2e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -a + 2*w, 6*a - 327 = 2*a - 3*w. Suppose 2 = -v + 3*v, 0 = 4*p + 5*v - a. Calculate the highest common factor of p and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17248, -34536, -51824, -69112, -86400?\nAnswer: -103688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjmmmmmmmmmmmmmmmmm. Give prob of sequence mm.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -13233.33779 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 3, o: 3, d: 2, q: 3, b: 1}. Give prob of sequence odd.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121 + 0?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q. Suppose -v - 44 = -8. Let x be (-63)\/v + (-1)\/(-4). Let z(i) = 11*i**x - 5*i**2 - 7*i**2. Determine z(p(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*j = 214*j - 384. Solve -37*w - 20 = -j*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/9 in 2\/9, 0, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3826*z - 31. Give l(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2144 and 19\/1742?\nAnswer: 27872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29385\/9795)\/((-7)\/(-3)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39 - (1 - -1 - -1). Let w be 1\/(-2) + y\/8. Solve 2*l - 3*z = 2*z - 27, -w*l + 2*z - 14 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 436 and -395948096.5.\nAnswer: -395947660.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l - 3*l)*(-4*l + 0*l + 2*l) - 18*l - 105*l**2 + 18*l.\nAnswer: -107*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6098 to two decimal places.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + 29*l - 709479 - 1694412 = 0. What is the ten thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11723, -14, -3 in increasing order.\nAnswer: -14, -3, 3, 11723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - 0.97. Let i = 61420 - 61420.90094. Let b = g - i. What is b rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109.74 - 21.64. Let x = d - -10.9. Let u = x + -99.023. What is u rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1224, -387 in decreasing order.\nAnswer: 5, -3, -387, -1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + s = 0, -3*h - 1 = -2*h - 2*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 67528643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*n = -x + 16, 5*n = -x - 7. Suppose -2*j = 3*q + j - x, 2*j - 2 = -q. Solve 0 = 5*c - 10, 2*h + 5*c = -q*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + -44.4. Let q = z + 40.28. Let b = -1.11 + q. What is b rounded to 1 decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75.6 - -10.6. Let w = z - -70. What is the closest to w in 0.01, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 31) + (-46 - -62)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 566, 4, 16, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 0, -17, -1, 2, -3 in decreasing order.\nAnswer: 2, 0, -1, -3, -17, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0195724 * -0.04.\nAnswer: 0.000782896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -11\/8, 1\/2, -0.5, 0.08, 5, 9?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 0 - (-9 - -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 3. Let t(b) = 7*b - 6. Let f(j) = 5*i(j) - 2*t(j). What are the prime factors of f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {w: 1, u: 2, q: 1, h: 1, c: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1724, -3446, -5168, -6890, -8612, -10334?\n\"Answer: -1722*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from {b: 9, i: 3}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, p: 2}. What is prob of sequence pooo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -2\/7 (c) -9\/13 (d) 1622\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 144)\/(-2) + (-15 - -16). Suppose -o*i + 74*i = 12. Suppose -3*s - 144 = -6*s. What is the highest common factor of s and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27720 + 5252?\nAnswer: -22457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4763.04 (b) 3 (c) 0.5 (d) 1 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2456041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 8. Let t be p(-10). Suppose 4*g - 2*g = -2*s + 12, -3*g + 6 = -s. Let w(u) = g + u - t + 5. Determine w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2411*u**3 + 7*u + 7. Let t(g) = 2416*g**3 + 6*g + 6. Calculate -6*p(m) + 7*t(m).\nAnswer: 2446*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*sqrt(18)*1*6 - (sqrt(126)\/sqrt(7) - (sqrt(150) - sqrt(6))\/sqrt(3))).\nAnswer: -71*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j - 318*j**2 - 5*j - 4*j in the form c + u*j + a*j**2 and give a.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(325) - sqrt(325)) + 0 - 3*(sqrt(325) + sqrt(325) + 5*3*sqrt(325)))**2.\nAnswer: -1530*sqrt(13) + 845334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.438 + -0.48. Let g = -23.54726 - -23.59. Let u = s + g. What is u rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9253, 18509, 27781, 37075, 46397, 55753, 65149, 74591?\n\"Answer: h**3 + 2*h**2 + 9243*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166.50281 rounded to the nearest integer?\nAnswer: 2167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89.2 + 84.23. Let u = -0.03 + b. Let i = u + 5.03. Round i to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1836 and 7\/81?\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302100 divided by -190.\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -197 <= -4347\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 2)\/((-4)\/(-8)). Factor -8*k**3 + 18*k**2 - 9*k**3 + r*k**2 - 25*k + 22*k**3.\nAnswer: 5*k*(k - 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130922409 to the power of 1\/2, to the nearest integer?\nAnswer: 64272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 1:36 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028885 to the power of 1\/2, to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {i: 5, w: 7, d: 2, t: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*l + 270*l = 5440. Solve -l = 47*g - 63*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-14)\/(420\/(-130)). Let c = 629 - 447. What is the greatest common divisor of b and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/5 - 34*l**3\/5 + 118*l**2\/5 + 834*l\/5 + 684\/5 = 0. What is l?\nAnswer: -19, -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13 = -3. Suppose -4*b + 0*r + 9 = -3*r, -b - s*r + 31 = 0. Let f(t) = 8*t + 0*t - b*t. Let o(k) = 3*k. Give o(f(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 11. Let z be v(-13). Suppose 5*x - j = z, -4*x + 2*x + 6 = -5*j. Calculate the greatest common factor of 7 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 1)*(159 - 157). Let i(y) = -y**3 - 10*y**2 + 2. Let l(c) = 5*c**3 + 50*c**2 - 11. Calculate k*l(p) + 11*i(p).\nAnswer: -p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/42 and -89\/17062.\nAnswer: 358302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 0*o + 2*o)*(119 - 119 - 49*o)*(-68 - 88 + 136) in the form b*o + i + y*o**2 and give y.\nAnswer: 1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - r**3 - 3*r**3)*(5 - 2 - 1) + 4*r - 85*r**3 + 29*r**3 + 32*r**3 - 4*r**2 - 3*r**3 + 4*r**2.\nAnswer: -33*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20035 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/4, 0.21, -165, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -249653 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000754 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -453405*x**3 - 754753*x**2 wrt x?\nAnswer: -2720430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) + (-16)\/(-12). Suppose 10 = -5*a + 7*a. Let k(c) = -2*c**2 + 6*c - 7. Let b(h) = -h + 1. Let u(n) = a*b(n) + k(n). Determine u(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2\/3, 2\/11, -2896\/7, 2\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -455*z**4 - 3783 - 446*z**4 + 1336*z**4 - 444*z**4 - 40*z wrt z.\nAnswer: -36*z**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 11, -21416?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 9*o + 11. Let t be j(8). Let k(u) = u + 2. Let m be k(t). Solve l - 10 = -5*x, 0 = -4*x - m*l - 7 + 36 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44140 + 101?\nAnswer: -44034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w + 60. Let n(u) = w + 4*u - 2*u - 3*u - 2*u. Let t be n(-11). Calculate the greatest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 17*w. Let a(k) = -k**2 + 6*k. Let p be (20\/(-25))\/(2\/5). Let z(c) = 12*c + 7. Let q be z(p). Calculate q*a(r) - 6*o(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/2)*z**(-4)*z*z)\/((z*z*z\/z**4*z)\/z**4)*(z**(2\/5)\/(z\/z**0))\/(z**5*z**(-2)) assuming z is positive.\nAnswer: z**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15429\/36 + (-3)\/(-18). Let x be (-12)\/16*(-28)\/21 + (1 - -1). Solve 735\/4*r**2 + 105\/4*r + o*r**x + 5\/4 = 0.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(76) - -1*sqrt(76)) + sqrt(76))**2 + 2.\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 take away 3340126341129?\nAnswer: -3340126341128.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*z = -21*z + 241 - 52 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 8*k - 16. Is k at least as big as 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.4 (c) -108 (d) 0.1 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12530, -12108, -11686, -11264?\nAnswer: -10842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 5. Let c be q(-7). Solve c*z = 85 - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, 2, 4\/9, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b9 + -233?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**17\/p**(-6) assuming p is positive.\nAnswer: p**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i + 25. Let y(q) = 6*q + 10. Let u be y(i). Let r be (0 - 1)*60\/(-20) + 97. What is the greatest common factor of r and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0, 0.5, 3, -54267, 1.\nAnswer: -54267, -2\/3, 0, 0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 0, 3 in decreasing order.\nAnswer: 3, 0, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*c**5 + 415*c**4 - 1514*c**3 - 3630*c**2 + 12573*c - 945 = 0. What is c?\nAnswer: -35, -3, 1\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/42*-3*(-2)\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 370378404 to the power of 1\/2, to the nearest integer?\nAnswer: 19245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*r + 2*q, 4*q - 3*q = -4*r + 9 - 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -36*d. Let k(b) = 101*b - 1339. What is k(z(u))?\nAnswer: -3636*u - 1339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200031201 (base 4) to base 15.\nAnswer: 2915c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 5*u**3 + 6*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.47 + 0.43. Let s = n - 5. Let k = -3 + -4. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-2)\/(-12)) + 9*527\/(-1071). Which is the closest to 1? (a) 1\/4 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657342988.\nAnswer: 2, 137, 631, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u = -80 + 259 - 1579 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m + 4. Determine l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -289 + 825. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.45 - -1193.45. Let t = v - 1192.00833. What is t rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 3. Let i(w) = -w + 4. Let q be ((-38)\/(-8))\/1 + 4\/16. Let k(v) = v + 2. Let l be k(4). Give l*c(s) + q*i(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)\/(o*o**(-4)\/o*o*o))\/(o\/o**(-7)*o**6) assuming o is positive.\nAnswer: o**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3486291 and 159813?\nAnswer: 94129857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -769 (base 16) to base 7\nAnswer: -5350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + (-399)\/28)*8\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.36437 milligrams?\nAnswer: 1364370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 = -11, -3*v - 28 = -c. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1450)\/(-435))\/(2\/(-1)*(28\/21)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7250 - 7368 - (0 - 75)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301 (base 4) in base 2?\nAnswer: 10110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3356?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1121 > 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*b + 39 = -0*p, 0 = -4*b + 12. Let n = -8 - p. Suppose s = n*d + 22, -5*d - 26 = -0*s - s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(70\/180 + (-80)\/90)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**3 - 30*y**2 + 86*y - 433. Is t(30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 626.165 millimeters?\nAnswer: 62.6165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 20. Let u be t(7). Let i = u + 35. Let w be (171\/6)\/3 + i\/(-12). Calculate the highest common divisor of w and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.54, 2\/39, -2\/7901, -0.07, 0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 426 + -401 + 51 + 0.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/167? (a) -1 (b) -981 (c) -3 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0216 take away -956?\nAnswer: 956.0216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 3*m - 7. Suppose 3 - 18 = -5*q. Let i be s(q). Is i bigger than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.5, 3.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 17*v + 25*v - 44, 3*v + 6 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1919 - 1919. Put n, 0.1, -23, 5 in increasing order.\nAnswer: -23, n, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0 + 3*j**2 + j - 1\/6*j**3. What are the prime factors of q(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42)\/147 - (-1606)\/(-14). Let l = 267 - z. Suppose 0 = 3*x - 26 - l. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 448 - 890 + 1399*x**2 + 442 to the form f + o*x**2 + i*x and give o.\nAnswer: 1399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17230 = -1417*j + 65408 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 10 = -4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 13254331041?\nAnswer: 13254331032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhdddhhkdtnhdhtdthzh. Give prob of picking 1 n, 1 t, and 1 h.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (120 - 106) + -62 + -3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 386?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 2*o - 4*o)*(-3*o**2 + 4*o**2 + o**2) + (-o + 0*o + 0*o)*(190 - 190 + 17*o**2) to g*o**2 + c*o + n + f*o**3 and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-224)*8)\/(13\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 0 (b) -1.48 (c) -164 (d) -1 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1123203310 (base 4) to base 5\nAnswer: 44000103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in 372.1, 6, 3, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 154900 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 528?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)*(a**(1\/6)*a)\/a*(a*a**(1\/4))**(-50) assuming a is positive.\nAnswer: a**(-199\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*j**3 + 2*j**3 + 316 - 252*j**4 - 2*j**3 + 75 wrt j.\nAnswer: -1008*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 289080 = -h + 5*h, 3*h = -2*g + 115655. What is g rounded to the nearest one thousand?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*d + 3*d - 5*q, 3*q = d + 6. Let c = 33 + -25. Let n be c*(-6)\/(-27) - (-4 + 6). Which is bigger: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 121808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 - 14388*o**2\/7 + 26034360*o\/7 - 565813424\/7.\nAnswer: 2*(o - 3586)**2*(o - 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of (2\/(-5))\/(-7 + (-7643690)\/(-849300) - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 749*s - 5355. Determine t(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13741 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(170) - (sqrt(170) - sqrt(170)*2*-3) - -3*(sqrt(170) - (sqrt(170)*1 - sqrt(170) - sqrt(170)))))\/(1*2*(sqrt(640) + 1*sqrt(640))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*g**2 + 0*g**2 + 4*g**2)*(-g - 2 + 2) - 19*g**3 - 2*g**3 + 5*g**3)*(1029 - 1029 - 72*g**2).\nAnswer: 1008*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1572 and 4026027?\nAnswer: 2109638148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 - 169. Let b(c) = c - 5. Let w be b(7). Calculate the highest common factor of w and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (4 - -3) - -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 2*t**2 + 0*t**2)*(-3*t**3 - 2*t + 2*t) - t**2 + 2*t**5 + t**2 + (-3*t**4 + 5*t**4 + 0*t**4)*(3 - t - 3).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176)*-4)**2.\nAnswer: 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2374*u + 1. Let t(a) = -7*a**2. What is t(f(i))?\nAnswer: -39451132*i**2 - 33236*i - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 228634*b**2 - 57. Let t(u) = 3*u. Give z(t(r)).\nAnswer: 2057706*r**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4029 + -3944. Suppose 5*y = -4*h + 55, -30 = -h - y + 3*y. What is the remainder when r is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9 - 1\/(-2)*1730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0434036819 rounded to 6 dps?\nAnswer: -0.043404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5)**(-41) assuming v is positive.\nAnswer: v**(-205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 80, -39, 4 in decreasing order.\nAnswer: 80, 4, -1, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/6 + 11*r**2\/2 + r. Let m = -2 - 7. Let n be u(m). Solve l - n*l = -4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 1008 = -14*q, i + 4*q + 1868 = -q + 1508 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -5.04. Let d = -3 + 6. Let k = d - -1. Which is the closest to -1\/4? (a) 1 (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3 - 9. Let v be 2\/y - 4\/3. Which is bigger: v or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*d - 166*d - 32192 = 3691 for d.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*t - 20052 + 10039 + 15*t + 9879 to the form i*t + g and give g.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*h + 2. Let x(y) = 21*y**h + 0 - 2 - 17*y**2. Let i be x(2). What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142 - 1022?\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 426 and 2900066.\nAnswer: 8700198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/120 + x**4\/6 - x**3\/6 - 3*x**2. Let v(g) be the first derivative of n(g). Suppose -3*h + 7 - 1 = 0. Determine v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7173292.3 + 58579?\nAnswer: -7114713.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14\/2*1\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.480899 + -0.481019. Let m = 29.5 - 0.5. Let h = o - m. What is h rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o + o**3 + 7*o**3 - o**3 + 20*o wrt o?\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20165 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/3 + 628740*z - 7544848\/3 = 0.\nAnswer: 4, 943106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60184\/(-24))\/((-1)\/3). Let g = f - 1378. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)\/u**(-1\/2)*((u*u\/(u*u**(-2\/7)))\/u)**(-8\/11))**20 assuming u is positive.\nAnswer: u**(450\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 108 = 2*a. Suppose 9 - a = -3*r. Let i = -17 + 26. What is the least common multiple of r and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8 + 4*m + 32 - 2*m. Let x be g(-19). Suppose -j + 72 = -4*k, 5*j - x*j = -2*k + 174. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 663?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 88, 193, 340, 529, 760?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -33*b + 767. What is y(20)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -999 - 185. Suppose 14*u - m = 292. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 8*j**2 - 10*j - 17. Let b be n(-7). Solve -3*p = -b*r - 12, 2*p = 5*r + 7 + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5450938477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-72)\/(-27).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*m - 17, -5 = -m + 3*p + 1. Suppose 5*d - 10 = -5*b, -m*d + 2 = -5*b + 20. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, -9.65, 1, 1\/5 in decreasing order.\nAnswer: 1, 1\/5, -0.2, -1, -9.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8871.442l in millilitres?\nAnswer: 8871442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - 41 + 131 - 43 - 47. Let i(h) = -16*h - 13. Let o(g) = 13*g + 12. Let m(y) = -5*i(y) - 6*o(y). Give m(r(a)).\nAnswer: -4*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*c + 1 = 9, 4*c = 4*x - 16. Let v(q) be the second derivative of 1\/6*q**4 + x - 5*q + 0*q**2 + 0*q**3. Let d(l) = 7*l**2. What is d(v(g))?\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-873)\/180 + (-4)\/10)\/(32481\/9624)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y - 2*y - 2*y)*(11*y**2 - 13*y**2 + 6*y**2) as g*y**2 + b*y + d + r*y**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.4, 2\/17, 1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - d - 2*d)*(2*d**2 - 6*d**2 - 3*d**2) + 2*d**3 - 5*d**2 + 5*d**2 + 0*d**3 - 3*d**3 - 2*d**3 to the form p + v*d**3 + z*d**2 + s*d and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 17 + -21 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 1.5. Let j = -2.7 - -4. Let h = j + -0.3. Is v equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 5d1?\nAnswer: -5d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/68 and -19\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 1. Let f be c(-3). Let p be (2 - 1)*f\/25. Put p, -3\/2, 7 in decreasing order.\nAnswer: 7, p, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 1:43 AM?\nAnswer: 494","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 158089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -61 + 75 + -96 - -24\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5)**(8\/7)\/(j**(2\/13)\/j**(-6)) assuming j is positive.\nAnswer: j**(-40\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 42e?\nAnswer: 42e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.566? (a) 0.5 (b) -2\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**2 - 2*y**3 - 13*y**2 - 5*y**2 - 2*y**3 - 10*y**3.\nAnswer: -14*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-8\/9)*f)\/f*f**(-32)\/f*f assuming f is positive.\nAnswer: f**(-287\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l - p + 308, -5*p = 4*l - 396. Suppose -j = -129 - l. Suppose 93 = -4*o + j. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104924, -104599, -104058, -103301?\n\"Answer: 108*g**2 + g - 105033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 29 = 3*t. Let a be ((-75)\/(-6))\/(4\/8). Suppose 5*z - 28 = -m + 21, -m + z + a = 0. Calculate the remainder when m is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1370692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v + 2. Let w(u) = u**2 - 9*u - 1. Let i(y) = -2*d(y) + w(y). Let g be 1*(-1 + (-5 - 0)). Determine i(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) - (-1*sqrt(275) + -3 + sqrt(275))**2.\nAnswer: -9 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**2*p**2 + 4*b**2 + b*p + 2*b + 8*p**2 wrt p?\nAnswer: -14*b**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8190039 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 2.504264.\nAnswer: 1.0017056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 65284 = -20*m. What are the prime factors of m?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {y: 5, z: 4, k: 7, m: 2}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 14) to base 13.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.9 - -0.9. Let k be (-2 + -2 - -32)\/(-2). Let d be 70\/(-245) - (-31)\/k. Sort -1, d, -5, h.\nAnswer: h, -5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrollollloolllooll. Give prob of picking 1 o and 2 l.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55841731?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7cb3 (base 13) in base 4?\nAnswer: 10102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17668156 and 562.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11850b50b + 1?\nAnswer: -11850b50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21789 divided by -7263.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3428*p**2\/5 + 3302*p\/5 + 126\/5 = 0?\nAnswer: -63\/1714, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Let x = 0 + 0. Which is the third smallest value? (a) -2 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3198 - -0.2467. Let o = x - 0.0665. Which is the second biggest value? (a) 1\/13 (b) -0.03 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/291 + -565\/4947. Which is the nearest to -1\/5? (a) -4\/7 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212 by -242.\nAnswer: 106\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/15 - 476\/70.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-3 - (-6 + -1 - -1)) + -20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*m + 18 = 0. Calculate the greatest common factor of 24 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41 and 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 3. Suppose 57*n - 22 = 84*n + 5. Put b, -2\/3, n, -0.16 in descending order.\nAnswer: -0.16, -2\/3, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 75 - 30 - 46 - 2*s + 42.\nAnswer: -2*s - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q + 1. Suppose -5*h + 0*z + 61 = -z, -4*h - 2*z + 60 = 0. Calculate the remainder when h is divided by u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13819, 27561, 41237, 54847?\n\"Answer: -33*a**2 + 13841*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 456323 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2 + 72*o - 298. Let y be t(4). What is the highest common factor of y and 16575?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5) - 24\/(-10). Let h be 1\/3 - 40\/(-6). Let z(u) = u**2 - 7*u + 4. Let w be z(h). Solve -o + 2*o = -w*r - 9, -4*r = b*o + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -130480719.\nAnswer: -1\/130480719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 + 92 = 4*c. Find the third derivative of -118*r**2 + c*r**2 + 44*r**4 - 6*r**4 wrt r.\nAnswer: 912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 3*x + 23, -5*x = d - 5. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2516 + 3498003.\nAnswer: 3495487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, -7, 2, -11.\nAnswer: -11, -7, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 25\/2 + (-6)\/(-4)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247582780 < 247582779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 467565+0.5\nAnswer: 467565.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67034138?\nAnswer: 2, 29, 887, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/((-4)\/(-30)). Let l = -14 - -4. Let w = l - -14. Put -2, w, z in decreasing order.\nAnswer: z, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1257 + -1104. Suppose 15 = 2*m - 3. Calculate the greatest common factor of o and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t + 456. Let f be x(34). What is the smallest value in -2\/9, 2\/11, -1.6, f?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3923 divide 504368341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14261, -14271, -14293, -14333, -14397?\n\"Answer: -a**3 - 3*a - 14257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 907018 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.5. Let i = -464 - -263. Let m = 201 + i. What is the nearest to m in -5, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 180 = -4*g, 0*g - 78 = -2*g - 5*o. Let j = g + -74. Let m = j + 59\/2. Is m not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 68. Suppose 0 = 3*s + 2*s - 20, -b*s = 3*g - 571. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13246 from 1042.\nAnswer: 14288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334 - -33314421?\nAnswer: 33320310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -30, 3, -9 in decreasing order.\nAnswer: 3, -2, -9, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 522393578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -233401?\nAnswer: -233383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021533145 (base 6) in base 5?\nAnswer: 10221241310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 26*l**2 + l + 1. Let w(t) = 60*t**2 + t - 16. Determine 3*p(b) - w(b).\nAnswer: 18*b**2 + 2*b + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29957.\nAnswer: 29, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*r**4 - 7*r**3*s**3 - 12*r*s - 18*s**3 - 3*s**2 - 14 wrt r.\nAnswer: -20*r**3 - 21*r**2*s**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - t = -42, -k - 3*k = 4*t + 32. Let b = -7 - k. Solve -b*c + 6 = -0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3*5361)\/((-85)\/85)?\nAnswer: 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 13 + 12 = 0. Let w = 14 + h. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from {n: 4, l: 5, h: 6, v: 4}?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (44 + 4) - (-4 + -27 + 20).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -2*z**5\/15 - 5*z**4\/6 - 14*z**3\/9 - z**2 - 27. Factor l(v).\nAnswer: -2*v*(v + 1)**2*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 38, 58, 78, 98, 118?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -303 + -525426?\nAnswer: -525731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**6\/12 + 19*c**5\/120 - 203*c**4\/72 - 139*c**3\/36 + 17*c**2\/3 - 3236*c. Determine x, given that r(x) = 0.\nAnswer: -4, -1, 1\/3, 17\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -20) + -1 + 0 + -2 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/((-268)\/(-201)*781\/66)?\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 23*y**2 - 57*y + 280. What is u(21)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1301, -1297, -1291, -1283, -1273?\n\"Answer: p**2 + p - 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 21 - 7*l - 21. Let i(t) = -t + 2*t + t. What is i(a(r))?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(15542\/760 + -20)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4*k**2 - 5*k**2 + 2*k**2 + 1.\nAnswer: k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 10*a**2 + 9*a + 15. What is n(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 195*z**2\/4 + 423*z\/2 + 1107\/4.\nAnswer: 3*(z + 3)**2*(4*z + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/91 and -49\/208.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-5)\/20*4\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29366 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 70805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94830763421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865 is divided by 544?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -1\/9, 0.35, -6, 0.07, 3?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0403 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3819655, -3819676, -3819697, -3819718?\n\"Answer: -21*t - 3819634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwyiywywwgcm. Give prob of sequence cg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27384 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 404719.3 to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 7*s**2 + 5*s + 6. Let d be h(6). Let f(a) = -96*a**2 + d + 0 + 84*a**2. Let g(y) = -y. Give g(f(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5*s + 1. Suppose -2*i + 2 = -0*i - 5*c, -2*i - 3*c + 18 = 0. What is v(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2ab (base 12) to base 7\nAnswer: -1136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 7:06 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2675755 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148682260 divided by 4.\nAnswer: -37170565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -78\/7 and -2\/31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -681630 in 3\/5, -2\/11, 15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57624 and 4?\nAnswer: 57624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -2*m**3 - 42*m. Let i be (-14)\/18 - (-4)\/(-18). What is the units digit of s(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 42. Let w be a(12). Let z(v) be the first derivative of -26 - 33 + 17*v**2 + w + 18*v. What is the first derivative of z(k) wrt k?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p - 3*p**3 - 36*p**2 - 2 + 16*p**2 + 3*p**3 - p**3 + 27*p**2 to d + l*p**3 + r*p + k*p**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)*a**(-9))\/(a\/(a*a**0))**(-2\/5) assuming a is positive.\nAnswer: a**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2\/2 - 3746325*l\/2 + 3746319 = 0. What is l?\nAnswer: 2, 1248773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 167 divided by 597\nAnswer: 167\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:14 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - 1)*(-42)\/63. Solve v = 5*m - 6*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83964.21 nanoseconds in minutes?\nAnswer: 0.0000013994035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, c: 15}. Give prob of picking 2 p and 1 c.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f**3 + 3*f**2 + 3*f - 3. Let t be k(2). Let w be (-3)\/t*57 + (-4)\/22. What is the highest common divisor of 65 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 4*n**2 + 4*n + 3. Let l be d(-5). Let u = l - -12. Let s be u\/15*3\/2. Solve -s*a = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 315\/622 + -2\/311. Let z be 3\/(-9)*9\/(-7). Which is the third smallest value? (a) 1\/4 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7865\/143)\/(-55)*7\/(21\/(-120))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - p + 63 = 48, 41 = 2*f - 2*p + 17 + 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*u + 499 + 161 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by (-492)\/(-15) - (-4)\/(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**4 + 605*d**3 - 4520*d**2 = 0.\nAnswer: 0, 8, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:43 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**3\/3 - 4*n**2 + 13*n - 10. Let y be t(-9). Suppose -y*g + 55 = g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - (666\/(-21) + 4\/(-14)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 3)*(-228*g - 6123 + 6123) + (-g - 2*g + 2*g)*(-2 + 3 - 2) + (2*g + g - g)*(2 - 5 + 2) + 0*g - 3*g + 2*g.\nAnswer: -1142*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 6*y + 0*y)*(-5 + 0 + 2) + 1674*y + 759*y + 2139*y - 134*y to f*y + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5*u - 40 = 0, -3*l + 11 = -u - 3*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w - 1 + 1)*(-3 - 50*w + 58*w - 1) to the form h*w + a + y*w**2 and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12887 + -0.87113. Which is smaller: 0.175 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/20 + l**4\/2 - 5*l**3\/3 + 5*l**2 - 1721*l. Determine q(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 20)\/(-7 + 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264305185 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.1 - 3.8. Let d = r - 0.3. Let z = -8.3 + 8.3. Put -1, z, d in descending order.\nAnswer: d, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(363) - (sqrt(363) + sqrt(363) + 0 + sqrt(363))*-2)**2 - (sqrt(3) + (sqrt(3) + sqrt(12)\/sqrt(4)*4)**2 + 2 + (sqrt(3) - (-3 + sqrt(3)))).\nAnswer: -35654 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126.4 + 126.3. Which is the third biggest value? (a) -4 (b) m (c) 3\/7 (d) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077 - 2283 = -86*o + 731 + 1589 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven eighths of a week?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i - 3. Let u be ((-1)\/(-2))\/(i\/48). List the prime factors of 1 + (u\/3 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose r*g - 7*g = -8. Suppose 0 = m, -g*a + 0*m + 6 = -5*m. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 78 = 8*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from jnlzd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4\/7 + 128*k**3\/7 + 888*k**2\/7 - 2176*k\/7 + 1156\/7.\nAnswer: 4*(k - 1)**2*(k + 17)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 + 2.1. Let y = -15 + 9. Let g = 1 + y. Sort -0.2, r, g.\nAnswer: g, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1, 192238 in descending order.\nAnswer: 192238, 19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6 - 19*q + 17*q + 22. Let h be v(6). Suppose -h*f + 500 = 2*c, -3*f - c + 372 = 2*c. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3977198 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -104 - 250. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, -0.2, 17, 0.3, 6 in descending order.\nAnswer: 17, 6, 4, 0.4, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60564.37km in millimeters?\nAnswer: 60564370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 6. Suppose -4*y - 44 = 4*i, 7 + 22 = -4*y - i. Let q be f(y). Solve -2*d = -t + 2, -t + 5*t - 4*d = q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*w**2 + 9*w**2 + 357*w**5 - 371*w**5 wrt w?\nAnswer: -840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 - 585*x + 29862 = 0. Calculate x.\nAnswer: -237, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 4:45 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 0*(-4)\/(-16). Let t be (10\/(-25))\/((-2)\/10). Suppose -d + 2*d - t = 0. Solve 0 = 3*g + 4*h - 16, -18 = -o*g - d*h - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g, 3*d = g - 5*g + 77730. Suppose -3*n + d = 3*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -116033*i - 464161. Determine z(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 122810359 to the nearest 1000000.\nAnswer: 123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12177 and 51783?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1704)\/(-45724))\/((-8)\/(-92))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 13 = -i, -3*i - 3 = 0. What is v in -5*v**2 - 5*v**3 + a*v**3 + 5*v**2 + 4*v**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 424?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 84916024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znky when four letters picked without replacement from {q: 2, k: 3, n: 1, z: 1, y: 4, b: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1242029*g**2 - 9*g. Let d be t(6). Let y be d\/(-8) - (6 + (-135)\/20). Let r = -40210877 + y. What is r rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*j + 82*j = 102. Let h(y) = 3*y**2 + 6*y + 2. Let t(c) = 6*c**2 + 13*c + 4. Give j*t(x) + 13*h(x).\nAnswer: 3*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d**2 - 478*d + 270. What are the prime factors of f(-67)?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {j: 1, s: 4, n: 1, q: 2, t: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -39264*r + 194390. What is x(5)?\nAnswer: -1930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(1\/26))\/s**(-14))**(-29))**(-1\/28))**(-45) assuming s is positive.\nAnswer: s**(-507645\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -2\/13 (c) 0.5 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -723 + 728. Solve -1 = c, q*i - 3*c + 6*c + 28 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*s + 5, -2*a = -4*a + 3*s - 12. Let z be (0 - (0 + a)) + -52. Does 7 divide (z\/(-14))\/((-1)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 2156*i**2 - 287260*i + 881292.\nAnswer: -4*(i - 3)*(i + 271)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -31, 208, 22 in increasing order.\nAnswer: -31, -3, 3, 22, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 409, 408, 407, 406, 405, 404?\n\"Answer: -i + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 262, 262, 280, 322?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327*j**3 - 6*j**2 - 1128*j + 13.\nAnswer: 1962*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291522?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 1141. Let f(o) = -66*o - 14828. What is -3*f(y) + 40*h(y)?\nAnswer: -2*y - 1156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 343?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 51 - ((-3)\/3 + 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 892805923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 + -2 + 8\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 7482*o - 4665027.\nAnswer: -3*(o - 1247)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l = 212. Let f = l - 1. Let w = -5 + f. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1419.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 6. Let z be (-6)\/15*(-15)\/h. Put z, 5, -2 in ascending order.\nAnswer: -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k + 3. Let c be p(-1). What is the third derivative of -c*g**2 - g**6 + 19*g**6 + 4*g**2 - 9*g**2 wrt g?\nAnswer: 2160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 32 = -r. Is r\/12*(-3)\/2 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11310 by 6.\nAnswer: -1885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -389657*r*v**2 - r*v - 5129*r - 3*v - 5 wrt v.\nAnswer: -779314*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 13. Let x(w) = -3*w**2 - 87*w + 6. Calculate the smallest common multiple of l and x(-29).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -198\/16421 greater than -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28642 + 28640. Which is the closest to -1\/2? (a) 0.26 (b) u (c) -5\/2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cacaaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1230 = 2*j, 3*j + g + 1764 = -89. Let f = j + 1183. List the prime factors of f.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, q: 1, j: 1, w: 2, t: 1}. What is prob of picking 1 w and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 57. Let b(p) = p - 14*p**2 - i*p**2 - 4*p**3 + 29*p**2. Calculate b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, l: 3, c: 1}. Give prob of picking 3 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24799637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(70)\/(-2*sqrt(7) + sqrt(7)))\/sqrt(5).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-27)*9\/(-240)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 - 1 = 0. Suppose 3*q + 30 = -0. Let i = 5 + q. Is d bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*m**3 + 427*m wrt m?\nAnswer: -618*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 53. Let h be (-4298)\/(-77) - (-4)\/a. Let u = h - 25. Calculate the remainder when u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 44\/5 of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -503, -724, -929, -1112?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(154\/7)*2*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1578 divided by -2.\nAnswer: -789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1517300 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - c**3 - 12 + 12.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*u + 16, 0 = 4*u + 3*a + 53 - 62 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(832).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/4 (b) -138\/19 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 1147*r + 17417. Let g be w(15). Let k(i) = i + 1. Let n(b) = -12*b - 12. Let d(y) = -15*k(y) - n(y). What is d(g)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32177\/3)\/((-40)\/(5\/(-1))). Let u = -1341 + m. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 4. Let l(h) = -h - 5. Let x(a) = 4*l(a) + 5*s(a). Let y(m) = -2*m**3 - m**2 - 3*m. Calculate -3*x(o) - y(o).\nAnswer: 2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 13.1\nAnswer: -3.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/120 - a**4\/8 - a**3\/2 - 41*a**2. Let u be f(3). Calculate the greatest common divisor of u and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1.5.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 327161 and 5092.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116171?\nAnswer: 11, 59, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 - y + 7. Let p(c) = -2*c**2 + 3. Determine 5*p(f) - 2*z(f).\nAnswer: -2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5657, -94, 3\/7?\nAnswer: 5657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {n: 1, v: 1, h: 2, s: 1, q: 7, t: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-504)*(118\/30 - 4)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kccccckc. Give prob of sequence kk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -448?\nAnswer: 27\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = 38 - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 41. Solve r = -4*i - 2*y + 19 + 3, -5*i - y + 20 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -f + 2*t + 3*t, 2*t = -2*f + 92. Let i(k) = -k**3 + 5*k**2 - 5*k + 3. Let n be i(2). Calculate the highest common factor of n and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 1\/2*y**3 + 4*y + 1\/4*y**4 + 0*y**2 + 0. Factor i(n).\nAnswer: 3*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-39)*0\/(2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/5)\/((-14)\/(-35)). Suppose 0 = n - 0*n - 16. Let l = n - 12. Put -1, l, a in increasing order.\nAnswer: a, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**2\/7 - 12624*m\/7 + 1803 = 0?\nAnswer: 1, 4207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -46cbd0 (base 14) in base 15?\nAnswer: -32b273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20154478, -20154476, -20154472, -20154466?\n\"Answer: g**2 - g - 20154478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -678812*1.\nAnswer: -678812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((2\/8)\/((-12)\/(-32))). What is the units digit of (-2 + (28 - j))*1*17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - -3.6. Let t = -7 + h. Which is the nearest to 0.1? (a) 4 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 603 = -2637. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -173290719, -346581433, -519872149, -693162867?\n\"Answer: -q**2 - 173290711*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 12.6. Let a = -0.1 + 0. Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0367692 times 3\nAnswer: 0.1103076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 3*k**5\/20 + 37*k**4\/24 + 67*k**3\/3 + 4*k**2 - 2. Let y be v(-24). What is y rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*p = -i + 48, -i - 5*p = -32. Let j be 49\/28 + 3\/i. Solve 3*d + j*d = -15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145862915 divided by 5?\nAnswer: 29172583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -83. Suppose -4*o + 2*a + 24 = 0, -o - v = -6*o - 2*a. Solve 5*y - o = 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taararaqh. What is prob of picking 1 t and 1 h?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -0*l - o, -4*o + 13 = -l. Let d = 120\/13 - 814\/91. Let -2\/7*v**l - 6\/7*v**2 - 6\/7*v - d = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -12, 23, 0.0296, 0, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/110 + (-2)\/11)*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 24. Let b = s - -28. Suppose -b*q + q + 44 = 0. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**5\/25 + 18*y**4\/25 + 2*y**3\/25 - 162*y**2\/25 + 28*y\/5 = 0.\nAnswer: -7, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 42\/(-15))\/((-48)\/3000). Suppose -o*k - 8525 = -75*k. What are the prime factors of k?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10990)\/(-56) + 6\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564, 4797, 16286, 38661, 75552, 130589?\nAnswer: 207402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 169672 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2\/5 + 204*u + 17340 = 0. Calculate u.\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t. Let y(f) = -7*f**3 - 3*f + 2. What is 6*k(c) + y(c)?\nAnswer: -c**3 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 146*d + 7. Is f(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 0*z**3 + 0*z**3 + (-3*z + z - z)*(2 - 4 + 5)*(0*z**2 - 9*z**2 + 2*z**2).\nAnswer: 61*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -85*q**3 + q**2 + q + 1. Let t be o(-1). Suppose 3*a = -4*i + 217 - t, 4*a - 158 = -2*i. Calculate the remainder when a is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 7\/3, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -979244031921 - -979244032786.999999089. Let b = q - 866. What is b rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*y + 10. Let a(l) be the third derivative of -175*l**4\/12 + l**2. Let s be a(y). Round s to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f2 (base 16) to base 6.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**3 + 2*z**4 - 3*z**3 + 6 - 9*z**4 - 9 - 1 + (-5 + 2 + 1)*(3*z**4 + 3*z**4 - 5*z**4) in the form k*z**2 + p*z**4 + l*z + d + r*z**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q. Let j(z) be the second derivative of -z**3\/2 + 66*z**2 - 517*z + 3. Give j(o(b)).\nAnswer: -9*b + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.1. Let a be 2\/(-3)*(-6)\/4. Let j be (a\/(-3))\/((-4)\/(-6)). What is the nearest to y in -2\/15, j, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((((o\/((o*o**(2\/11)*o*o)\/o))\/o)\/o)\/o))\/(o**5*o))\/((o\/((o*o\/(o\/o**7))\/o))\/(o*o**(-2)))*(o**2*o**(-2\/25))**(-49) assuming o is positive.\nAnswer: o**(-24722\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 201366669 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - 381*a**3 - 4 + 382*a**3 + 4 + 5*a**2 + 29*a to x*a**3 + r*a + t + g*a**2 + v*a**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70053 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2090006 is divided by 1643.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 2148204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54\/24)\/((-6)\/(-32)). What is the greatest common factor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*s = -2*w - 2, -4*w = 5*s - 47. Suppose 27 + w = 5*u. Let i be 38\/u + 4\/(-18). Solve 4 = -2*o - 2*q, i*o = -5*q - 5 - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 11*h - 25, 15 = 3*c + 552*h - 555*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cd14 + 15?\nAnswer: cd29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012333 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7))**(1\/29))**(-26) assuming x is positive.\nAnswer: x**(182\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-3 - -1))\/(-1). Let b be 1 + -1 - (-1 - -1). Let f = b + 5. Sort q, 4, f in descending order.\nAnswer: f, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2339*q + 290180 = -2026*q - 911*q for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200 - 64. What is the remainder when z is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3001*w**4 - 326*w**2 - w - 13977 wrt w.\nAnswer: -36012*w**2 - 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.10282805 and -0.2?\nAnswer: 0.09717195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*o**2 - 4*o**2 + 26*o**2 - 2*o as i*o + c*o**2 + y and give c.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/50)\/(5\/8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43, -100, -625, -1724, -3589, -6412, -10385, -15700?\n\"Answer: -32*t**3 + t**2 + 78*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -38. Sort f, -5, 5.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 - 8 - 227 + 24*u.\nAnswer: 24*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19584)\/(-27744))\/((-9)\/(-34)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/48497490 and -97\/42430?\nAnswer: 48497490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 72*y + 867 = -29*y - 48*y, -38 = 5*k + 2*y + 19 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*g**3 - 52*g**2 + 64*g - 20.\nAnswer: 4*(g - 5)*(g - 1)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 78820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 8319.\nAnswer: -5\/2773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 511228 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/6)\/((-208)\/24). Factor j + 2\/13*z**3 - 4\/13*z**2 - 2\/13*z.\nAnswer: 2*(z - 2)*(z - 1)*(z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-44475313\nAnswer: -355802504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1016972 and 7018?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 252639 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -526 - -530. Suppose 2*k = -3*h + y*k + 24, -k - 15 = -2*h. What is the remainder when 42 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92568 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m - 2985*d + 5973*d = 2993*d - 296, -3*d = -72 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 - -4647.\nAnswer: 4615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 336 - -2063. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2024)\/3496*(-2)\/11.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -2.723318901?\nAnswer: 2.423318901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 7, -0.2, -0.0106?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 1. Let x be j(2). Let w be 4 - ((-6 - x) + 1202). Let q = 7187\/6 + w. Calculate the common denominator of q and -95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -970 less than or equal to -972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from dcclllldcllddcccleil.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 658163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*g + 174*g + 18*k - 354, -4*g = k - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + u**3 + 6*u**3)*(u**2 + 3*u**2 - 3*u**2) + 2*u**3 - 2*u**3 + 3*u**5 + (-18*u**4 + 2*u**2 - 2*u**2)*(10*u - 1 + 1).\nAnswer: -172*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3632 + 2952. Suppose -5*n - 4*x = -2133 - g, -5239 = -3*n + 2*x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/5)\/(((-22464)\/(-11440))\/(-36)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 3*l - 1. Let q be d(-2). Is ((-9)\/(-6))\/(q\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + sqrt(98))**2 + sqrt(98) + (sqrt(2) + 1*sqrt(2) + 4)**2) + 0.\nAnswer: -126 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -172, -731, -1672, -2995, -4700, -6787?\n\"Answer: -191*q**2 + 14*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 7*c**2 - c + 2. Let g be n(7). Let t(y) = -7*y - 7. Let h(l) = 16*l - 20*l - 10 - 6*l. Give g*h(k) + 7*t(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4731.\nAnswer: 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(8)*-1))\/(sqrt(147)*1).\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/5 + 5448*a\/5 + 703936\/5 = 0 for a.\nAnswer: -2588, -136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/816, -2, 481?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(0 + 2 + 0))\/(1155\/1540)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z + 2*z)*(-3 + 1595023*z + 3 - 1596893*z).\nAnswer: 3740*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6275 in -2, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:16 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95979 by 4.\nAnswer: 95979\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 3*m**2 - 4*m - 23. Determine r(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151251.8 + 151252.20999946. Let z = n - 0.41. Round z to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3411358?\nAnswer: 2, 1705679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 13394*n**2 + 1358385*n + 34572492.\nAnswer: (n + 51)**2*(n + 13292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5320 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -57*6\/(-9) + 4. Is ((-658)\/f)\/((-2)\/30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2037 divide 58085055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) 3 (b) -8\/5 (c) 0.24 (d) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, -1075, 2.\nAnswer: -1075, -21, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 585251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 433640620 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3, -19, -2\/5, -118, -3\/5, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2 - 12*j**3 - 9*j**3 + 5*j + 7 + 2 in the form n*j**3 + m + o*j**2 + p*j and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p**2 - 4. Let c(u) = 2397 + 8*u**2 - 2397. Determine k(c(w)).\nAnswer: 512*w**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -27*f - 199. Calculate m(-2).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 192, 197, 202, 207?\n\"Answer: 5*k + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 1575?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.02, 2 in descending order.\nAnswer: 2, 0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1814 - -3102. Suppose 0 = 3*w + 5*a + 1951, 3*w + 618 + s = 4*a. Round w to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.6 - -77.6. Let b = d + -71. Is 8 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*q - 62*q + 64*q**2 + 177*q**2 - 12 - 13124*q**3 - 108*q**2 wrt q?\nAnswer: -78744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1394*t + 5 - 4 = 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1582)\/(10\/(-5) + 0)?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkaka. What is prob of picking 1 k and 1 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 - 1)*2\/((-20)\/2). Suppose -5 = a*d - 5. What is the remainder when 18 is divided by (29\/(-116))\/(d + (-2)\/56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((8 + -3)\/(-5)). Let u = 8 - 6. Let s be -2*u\/o*3. Put 0, -1, s in increasing order.\nAnswer: s, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 1 - (2 - 2). Factor -10*z + m*z**2 + z**2 + 9*z + 0*z**2.\nAnswer: z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -21378*x + 7643. Is y(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - -36. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*n = -28, 2*n = 5*m + 23 - 95. What is the greatest common divisor of 112 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2 - 4*z - 17. Let v(s) = 2*s**2 + 2*s + 8. Let m(x) = x**3 + 9*x**2 + 18*x + 15. Let w be m(-7). Give w*v(c) - 6*b(c).\nAnswer: -2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 27*o - 5*t = 90, 0 = 5*o - t - 70. Solve u - k = -2*k + 7, 0 = -u + 4*k - o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -8 + -29 + 105 - (15 + -2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, -12, 2\/3, -18.5, 34 in increasing order.\nAnswer: -18.5, -12, -0.3, 2\/3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2*u**3\/27 - 11*u**2\/9 - 8*u\/3 + 373. Factor f(d).\nAnswer: 2*(d - 12)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*g + 1 - 2 - 3*g as s + c*g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 60?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8530*z = 8525*z - 5. Which is the third smallest value? (a) z (b) 6 (c) 1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3054275525.\nAnswer: 5, 7, 41, 167, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 11*p**2 + 13*p - 82. Give x(-12).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eae when three letters picked without replacement from aeaaaaaaaeeaaa?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -281356314 and 0.3.\nAnswer: -84406894.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/12*-8*-33*1. Suppose g = -3*g + 44. Calculate the greatest common factor of d and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73547857*j**3*w + 11*j**2*w - 7*j + 47512 wrt j?\nAnswer: -441287142*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1042 divided by 2\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-2)\/(2\/3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13483, -26961, -40439, -53917, -67395?\n\"Answer: -13478*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -184864 (base 9) in base 7?\nAnswer: -656512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4259 plus 0.3?\nAnswer: -4258.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 = -9*y - 4*g, -66*g = -3*y - 65*g - 58 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*s**3 + 2 - 3*s**4 + 384*s**2 + 236*s**2 + 15*s**3 + 28*s**3 - 45*s**2 to the form d*s**2 + q*s**3 + p*s + l + b*s**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.1 + 0.1. Let d = 652\/5 + -130. Let i = -94 - -93.5. Which is the closest to d? (a) 0 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808553 divided by 808553.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q + 57. Let p be y(-9). Suppose -8*a + p = -7*a. Suppose 4*w = 4*o + 4, 4*o = -a*w + 14 + 3. Solve 0 = 3*l - j - o, 0*j - 2 = -5*l + 3*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 5. Let i be -1*2*(-3)\/6. Let q be (i\/6)\/(6\/18). Which is the third biggest value? (a) 1 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12455 - 5794. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88 less than -217780081?\nAnswer: -217780080.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2359 in 1\/2, 90, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*-3*sqrt(1700)*1)**2 - ((1*(1 + sqrt(425) + sqrt(425)))**2 - ((1 + sqrt(425))**2 + 5 + sqrt(425)))).\nAnswer: -70150 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 4:21 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147601 or -147603?\nAnswer: -147603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 581558.91 rounded to the nearest ten thousand?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 707127 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -693 - -2735\/4. What is the common denominator of 1 - (-12)\/(-20) - 269\/(-40) and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**3\/6 - j**2\/2 - 4*j. Calculate n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90078 is divided by 2135.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*g - 1 + 2)*(-2*g - 3 + 3 + 3 + 2*g - 3 + (-1 + 5 - 2)*(3*g - 4*g + 3*g) + 0 + 2*g + 0 - 3*g + 4*g - 3*g).\nAnswer: 8*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 - 3) + 3172\/(-122)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.673 + 937954938?\nAnswer: 937954936.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05157 * 0.819.\nAnswer: 0.04223583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2\/4 + 64531120*m + 258124475\/4.\nAnswer: 5*(m + 1)*(m + 51624895)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12700 and 2620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(27) - (1*sqrt(11) + -2).\nAnswer: -2*sqrt(11)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:43 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 75*k + 13. Let m(c) = -35*c - 6. Let l(y) = -13*m(y) - 6*r(y). Let p(z) = -27*z. What is p(l(j))?\nAnswer: -135*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104594 + 149629. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974557 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4808.9 - -4811. What is the closest to 8 in 0, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0.8. Let u be (-147)\/221*(-2)\/(-12). Let l = 9\/34 + u. Put 5, f, l in descending order.\nAnswer: 5, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-3) - 447*(-34745)\/(-3230370). Let r = x + 1\/8283. Find the common denominator of -53\/3 and r.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n**3 - 5*n**3 + 21*n**3 - 5*n**3 + 20*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - o - 19423 + 4324, 3*j + o - 22656 = 0. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1377871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74.8 + 75. Let f = -3.7 - -4. What is the biggest value in 4, j, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 9:30 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 2. Let z be f(8). Suppose -j = 4*v - v + 1, -4*v = -2*j + z. Let w(n) = j*n**2 - 4*n**2 - 3*n**2. Let q(k) = 2*k**2. What is w(q(d))?\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 110.5 and -0.03.\nAnswer: 110.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*i + 903 - 120 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2 - 126\/(-84). Is 3284\/2 - p\/(0 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtmtmmmmmmmttttmmm. What is prob of picking 3 t?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let b(f) = -f + 1850. Calculate b(n(x)).\nAnswer: x + 1850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103910017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 2*h**2 + 9*h + 8. Let a be p(-4). What is the third smallest value in a, -2\/149, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390314 is divided by 820?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-3*sqrt(209))\/((sqrt(121) - (sqrt(121) + sqrt(121) + 3*sqrt(121) - sqrt(121)))\/sqrt(11)) + -3)**2.\nAnswer: 36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from suiiswipspwv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 8. Calculate x(7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 1\/3, 2\/7, -4, 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3305490 and 2644392.\nAnswer: 13221960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 57*-0.4\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 + -4.4. Is k greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 + -136. Suppose -s + 0*t - t + i = 0, -s + 13 = -3*t. Is s greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 594677 + 127.\nAnswer: 594804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = -n - 0*s, 26 = -3*n + s. Let h(v) = -v**3 - 8*v**2 - 12*v - 28. What are the prime factors of h(n)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:07 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*d = -55*d + 268 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 275493271.4100811 + -275493258. Let u = 13.41 - y. Round u to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 5*p - 3*p)*(-11*p**2 + 3*p**2 + 0*p**2) + (-2*p**2 + 0*p + 0*p)*(-p - 13*p + 2*p).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d)**(2\/153)*(((d*((d**(-2\/5)\/d*d)\/d)\/d)\/d)\/d)**(-13\/4) assuming d is positive.\nAnswer: d**(33853\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 4 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -54. Suppose 0*o - 2034 = r*o. Let l = -155 - o. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111 + -108)*(-2)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*3*(-20766)\/(-69220)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6088.752ug?\nAnswer: 6.088752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - u**3 + 3 - 4*u**4 + 1 - 2*u as q*u**2 + r*u**3 + m*u**4 + h + a*u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 7*m**6\/80 - 11*m**5\/40 + 23*m**4\/64 - m**3\/4 - 184*m**2. Determine h so that t(h) = 0.\nAnswer: 1\/2, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 7:26 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*q - q. Suppose -9 = q*k + 4*g + 7, -22 = 4*k + 5*g. Let b be (k\/5)\/((-32)\/80). Solve -m + 3*r + 3 = 2*m, -2*m = -b*r - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z = -2*h - 374, -h = -5. What is the highest common divisor of 32 and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48615 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11422, -22843, -34264, -45685, -57106, -68527?\nAnswer: -79948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z + 30. Let v be b(-13). What is the units digit of (v\/(-3))\/(36\/486)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, u: 4, d: 2}. What is prob of picking 1 w and 1 u?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 1. Let p(j) = -5. Let f(l) = -p(l) + 2*w(l). What is f(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4 - 1\/3*j**5 + 0 + 0*j + 7\/3*j**3 + 0*j**2 = 0. Calculate j.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 24. Is q less than or equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14a08 - 4?\nAnswer: 14a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44)\/sqrt(2))\/sqrt(11) - (sqrt(50) + sqrt(800))) + (-1 + sqrt(2) + 1 - (3 + sqrt(4)\/sqrt(2))))**2.\nAnswer: 144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28691.65 years to centuries.\nAnswer: 286.9165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*s - 1)*(0 + 0 - 3) + s + 4*s - 2*s)*(0*s**4 - 2*s**4 + 0*s**4).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1996*y**4 - 3334 wrt y.\nAnswer: 7984*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 187 + 1732390?\nAnswer: 1732577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10552 (base 6) to base 12\nAnswer: -a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhzhhdfhcfh. What is prob of sequence zf?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 + 5*d**2 + 3*d - 16. Let f(k) = -5*k**3 - 16*k**2 - 9*k + 47. Let w(h) = 3*f(h) + 8*m(h). Is w(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82404 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**6\/30 - h**5\/30 - h**4\/6 - h**3\/2 - 38*h**2. Determine p(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/16 + -18*(-60)\/(-800).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/6 - (-5)\/(-30). Suppose 2*n + b*n = 20. Solve -2*a + 2*m + m - 11 = 0, -n = 3*a + 2*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + s - 8 = 0, -4*w - 5*s + 8 = -0*s. Suppose -2*v = w*v - 1028. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x\/(x*x\/x**(3\/4)*x*x)))\/x*(x*x*x**12*x)\/x*x*x)\/(x**(-2\/13)*x**10))**(-45))**(-2\/23) assuming x is positive.\nAnswer: x**(17325\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Suppose 0 = 5*n - 20, 0 = 4*d - 0*d + 5*n - 32. Suppose -k + d*v + 13 = 0, v + 1 = -3*k - g. Solve k = -2*s - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*f + 14 = -5, f = -2*q + 11. Suppose -u + 265 = 4*p, 3*p - 2*u + q*u = 203. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 11, 20, 29, 38?\n\"Answer: 9*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 3*j + j + 2*j. Let t(u) = 5*u. Calculate v(t(q)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*h = 42372, -8*h - 21182 = 2*f - 10*h. Let w = f + 18112. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2\/3, -4\/97?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139009, 139007, 139005, 139003?\nAnswer: 139001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*d**3 + 38*d**3 - 1 + 7*d - 7*d.\nAnswer: 85*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -599, -557, -487, -389, -263, -109, 73?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(34) + (sqrt(34) - -2*sqrt(34)))*1 - sqrt(34))\/(sqrt(8)\/sqrt(36)))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z + 0*z)*((1 + 2 - 1)*(-2 + 1 - 1) - 2 + 4 + 0)*(6*z - 5*z + 3*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**4 - 5*b**4 + 4*b**4)*(-6856 - 3956 - 8219 + 546) + 0*b**3 - b**4 + 0*b**3 in the form i*b**4 + p*b**3 + a*b**2 + v + r*b and give i.\nAnswer: -18486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392892 and 3024.\nAnswer: 99008784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*i + 1)*(2*i**3 + 2*i - 2*i) + 594*i**4 - 144*i**4 + 350*i**4 - 2*i**4 + 3*i**3 - 3*i**3 - 1.\nAnswer: 792*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*t - 652 + 500 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -3. Let n(x) = x + 6. Let q(w) be the second derivative of -w**2 + 6*w. Determine t*q(p) + 3*n(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*m**3 + 195*m**3 + 0*m**5 - 345*m**4 - 3*m**5 - 2*m**5 + 4*m**3 = 0. What is m?\nAnswer: -70, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*((sqrt(832) - -3*sqrt(832))*5*-4 + (1 + sqrt(832) + -1 - 1*sqrt(832)*-4)))**2 + -2.\nAnswer: 30000*sqrt(13) + 117000023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -52 (b) 1 (c) -3 (d) -13.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006801 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 5*s - 14 + 20, 0 = -5*s - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5907838 to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -37*j - 241. Let a be p(-7). Let i = 191 + a. Does 53 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, y: 11}. What is prob of picking 1 v and 1 y?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 2513.\nAnswer: -12565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 117*n = -122*n + 788, -5*x = -3*n - 158 - 13 - 261 for x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*r**2 - 392295*o**2 + 59*o*r**2 + 5530*r**2 - 2*r wrt r.\nAnswer: 4*o**2 + 118*o + 11060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/54 and 53\/207.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*(-9)\/162*(-8)\/1. What is the closest to 1\/4 in 1\/8, -4\/3, s?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59\/4 in -4\/7, -5\/8, -27, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119942166.\nAnswer: 2, 3, 193, 103577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 - -81. Factor 1 + 3*w**2 - 3*w + w**3 - 30 + 2*w**2 - w**k + 11.\nAnswer: (w - 2)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1819 + -1782. Calculate the remainder when 127 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-980)\/(-8) + 7\/2. Let j = f + -124. What is the biggest value in j, -2.9, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 62 + 0*g**2 - g + 0*g**2 + g**2 - 62. Let s(k) = k**2 - 4*k + 1. Determine s(r) - 3*t(r).\nAnswer: -2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 17. Let z be (-2)\/c + (-1600)\/112. List the prime factors of 1\/((z\/116)\/(-7)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 13*s**2 + 8206*s\/3 + 28072.\nAnswer: -(s - 116)*(s + 11)*(s + 66)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 427267?\nAnswer: 4272670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**3 + 42*z**2 + 143*z + 300. What is m(-2)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 + -2.5. Let z = -10.2 + u. Let v = z - -11.2. Which is the third smallest value? (a) v (b) 1\/4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1142 + 105?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42.7364 + -27.257. Let v = 70 + a. What is v rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2. Let m(s) be the first derivative of 2*s**3 - 7*s**2\/2 - 39. What is q(m(o))?\nAnswer: -36*o**4 + 84*o**3 - 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/2)*c*c\/(c*(c*c*c*c**(1\/5)*c)\/c))\/(c*c**(4\/5)*c*c**(-6)) assuming c is positive.\nAnswer: 1\/sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039349.\nAnswer: 1039349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 102 = -4*v, -3*v = -6*v - 15. What is the greatest common factor of 287 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 1. Let u(v) be the first derivative of -v**2 + v - 328. Calculate t(h) - u(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 12070, -1\/6 in decreasing order.\nAnswer: 12070, 142, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjgjjjj. What is prob of sequence jj?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 4:38 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6648?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -754 + 1630. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*q = -0*q - 37, 4*j - q = 57. Calculate the remainder when 64 is divided by -2*((-245)\/j + 6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/11 - -6\/77. Let w = -0.16 + -0.54. Which is the second smallest value? (a) w (b) v (c) 1\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72469639 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*o = 125*o - 113785. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 = 5*q - 22, 5*q - 30 = -2*y. Let l be 1*y\/(-6)*2. Let n(w) = -w**2 - 5*w - 4. Give n(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/3087 and 29\/444528.\nAnswer: 444528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(-1*(3 + -2)). Let q = -138 - -136.46. Let f = -4.74 - q. Sort t, f, -0.3, 3 in increasing order.\nAnswer: f, t, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + (-38 - -15) + -6.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*j + 16, 186*j - 28 = 190*j - 3*p. Sort -163, 1, j in decreasing order.\nAnswer: 1, j, -163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (4*(4 + (sqrt(192) + -3*(-1 + sqrt(192)) - ((sqrt(192) + 0)*-2 - sqrt(192)))))**2).\nAnswer: 5376*sqrt(3) + 11571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2*b - 3*b)*(-6*b**2 + 7*b**2 - 13*b**2) + b**3 + b - b.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77929060.859934 + -58010090.85997. Let m = 19919011 - i. Let f = 41 - m. What is f rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t + 75. Let x = -16 + t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -48*a**3 - a**2 + 4*a - 1. Let g be t(2). What is the remainder when 35 is divided by 1\/4 - (g\/12 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 1)*(-4 + 0*u + 2*u + 0*u).\nAnswer: -12*u + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*f**2 + 22*f**2 + 26*f**2 + 29*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**21)\/(m**(-19)*m)*m\/((m\/(m**(1\/2)*m))\/m)*m*((m*m**(-15))\/m)\/m assuming m is positive.\nAnswer: m**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -5*n**3\/6 + 3*n + 10. Let c(r) = 26*r. Give c(k(h)).\nAnswer: -130*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(98) - (sqrt(98)*5 + 0)) + sqrt(98) + sqrt(98) + -2*sqrt(98) + 0 + (sqrt(98) - -2*sqrt(98)) + 2)*-6)**2.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105393930 to the nearest integer?\nAnswer: 10266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/88 and -67\/378807?\nAnswer: 3030456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910 = -9*a + 4*a. Let b = a + -56. Let d be ((-2)\/(-6))\/(6\/b). What is the highest common divisor of d and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -2031353?\nAnswer: 2031352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-45149)\/453)\/(1\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6) - (-4 + 6). Suppose 0 = -3*v - v + 4*h - 20, 2*v + 4*h - 14 = 0. Let i be (2\/(-5))\/((-9)\/30). Sort v, i, q in ascending order.\nAnswer: v, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 22 - r**2 + 27 + 49. Let h be q(-10). Put h, -1, -4, 1 in increasing order.\nAnswer: -4, h, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/14 and 131\/276.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1453087 and 303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7592 (base 12) to base 7.\nAnswer: 52454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 12*l + 6*l - 6*l - 47*l**3 - 22*l**3.\nAnswer: -69*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 9. Let s = l + -8. Let z = -7 - -11. Solve -3*g + z*n = -1, -4*g = s*n + 8 + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -131492, -262857, -394094, -525203?\n\"Answer: 64*t**2 - 131557*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/1869 and -49\/552357.\nAnswer: 344118411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogfosfoeqqqqffffq. Give prob of picking 1 o and 1 f.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49246\/3223 - -168\/11. Let k = 79 + -80. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((6 - (24 + -37)) + -36)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -10. Suppose c = 5*v - 72. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 34517200.\nAnswer: 34517200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67907559167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k. Let x = 147 + -142. Let n = -5\/6 + 1\/2. Which is the closest to n? (a) -1 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3868912095 to the nearest integer?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 1, i: 1, g: 3, v: 5}. What is prob of picking 1 i, 1 v, and 1 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 7*y = 8*y + 41735, -4*o - y = -33397. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4293\/2*c**3 + 1500 - 2187\/2*c**5 - 1050*c + 1458*c**4 - 2955*c**2 = 0.\nAnswer: -1, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5 - 86740*r**4 - 371478260*r**3 + 40881602880*r**2 - 1110675006720*r = 0. What is r?\nAnswer: -8728, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**5 + 3*k + 9. Differentiate n(a) wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3235, 1033, -3 in descending order.\nAnswer: 1033, -3, -3235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9680980 by -10.\nAnswer: -968098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**3 - 1. Let q(n) = -7*n**3 + 1. Calculate 8*h(u) + 5*q(u).\nAnswer: 5*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*x + 101*x - 3548. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) + 5 + -2. What is f in -3*f - k*f**2 - 3 + 7*f**2 + 3 + 1 - f**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*r + 166 = -18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17759427407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 272*a**4*n**3 - 4*a**4*n**2 + 27*a**2*n**3 + a**2*n**2 - 5*a*n wrt a?\nAnswer: 6528*a*n**3 - 96*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0392 and 0.032.\nAnswer: -0.0012544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 5. Suppose 63*c - 62*c - 31 = 0. Let n(g) = -28*g + 1 - c*g + 60*g. Let f be -1 + (-1)\/(-1) + -4. Determine f*n(z) + j(z).\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/((-328)\/160)*36\/450\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(340\/408)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63, 45, 153, 261, 369?\n\"Answer: 108*y - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10064452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3219 - -5589. Suppose 0 = -26*a + 31*a - g. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -22. Suppose r + 169 = 6*m. Calculate the highest common factor of 416 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -j + 4*z, 11*j - 10*j + 4*z + 17 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180) + sqrt(180)*1)*6 - (5 + sqrt(20)\/sqrt(36) + 2).\nAnswer: -10 + 215*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 = -108*n - 411. Solve n = a - g + 5, -17*g - 11 = 4*a - 12*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-4 - 32\/(-1)). Let x = 70 + n. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -36*s + 24. Let m be l(-12). Suppose n + 3*n = m. Calculate the remainder when n is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/12*21\/(-6)*(-36)\/(-84).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (8 + (-707)\/42)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i - 2*i - 2*i + (0 + 0 + 2)*(2*i - 4*i + i) - 4*i + 2*i + i - 5*i - i + 33 + 4*i to the form v + q*i and give v.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 2*y + 4. Let c = 512 + -317. Let q be 2\/(-13) + 35\/c*12. Let n(o) = 4*o**2 - 8*o + 17. Give q*n(s) - 9*d(s).\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, 1904, 4214, 7448, 11606, 16688, 22694?\nAnswer: 29624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.34862 and 4?\nAnswer: -53.39448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*(-3 + (sqrt(68)*2 - sqrt(17)) + 1*sqrt(68)\/sqrt(4)))**2.\nAnswer: -9600*sqrt(17) + 112400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 13) in base 6?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*-719\nAnswer: 2876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8391624 a multiple of 951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391556.\nAnswer: 2, 597889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-30)\/j*(j*j**(-3\/44)*j)\/j)\/(j**(1\/10)*j*j**18) assuming j is positive.\nAnswer: j**(-10817\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11493*u**5 + 3*u**4 + 3*u**3 + 1368118*u**2 wrt u.\nAnswer: -689580*u**2 + 72*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*h + 9152 = 113*h. Is 32 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let w be 2\/10 - (-42)\/15. Suppose 0 = -w*m + 51 + 3. What is the greatest common divisor of n and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 4, m: 3, e: 2}. What is prob of sequence eud?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 29960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 30. Let p be (-4)\/w - 154\/(-35). Solve -p*o + 13 = o + q, 4 = -4*o + 4*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d\/((d\/(d\/((d*d\/(d**3*d))\/d))*d)\/d))\/d)\/d)*d\/(d**(-1)\/d))\/((d*d*d**(-2\/13))\/d*d*(d**(2\/9)\/d)\/d) assuming d is positive.\nAnswer: d**(226\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.2 - -14. Suppose 2*j + 16 = p + 3*p, -10 = 5*p + 5*j. Let v be (p - (-26)\/(-12))\/1. Which is smaller: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*d**4*w - 3568*d**3*w**2 - d**3 + 2*d**2*w**2 - 301*d**2 + 296 wrt d?\nAnswer: 240*d*w - 21408*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1349\nAnswer: 5396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/11628 and -139\/162.\nAnswer: 104652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 - (-1)\/2. Let k = -0.4 + 1.4. Let g = k - 1.1. Is f greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353373371 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -9 - 15, 1036*f - 1034*f - 28 = -3*t for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**5\/3 + 8*l**4\/3 - 10*l**3\/3 + 4*l**2\/3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 - (2 + (-418)\/(-18)). Let h = 28 + r. Suppose w - 5*u + 43 = 3*w, h*w = -5*u + 72. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 2, k: 1, w: 1}. What is prob of picking 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10760 divided by 269?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64314\/8 + (-663)\/(-884) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 9 + 2 + -5. Solve 4*g = 3*g - x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 193392 - 11?\nAnswer: 193381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 1. Let c(x) = -x**3 + 9*x**2 + x - 5. Let j be c(9). Let p be u(j). Find k, given that -4*k + 3*k + p*k + k**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2173 and 318?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - 59) + (-2 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o + 5*o - 3*o + 2)*(3 + 1 - 2).\nAnswer: 16*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12412219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 1634040?\nAnswer: 1634040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 75*c + 36*c.\nAnswer: -31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37665697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((88 - 8)\/160)\/((3\/56)\/((-513)\/(-38))).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.6 + 27.171. Let l = -25.881 + y. Round l to zero decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbybybopbpppbvpp. What is prob of sequence opp?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10301 = 7*p + 662. Calculate the greatest common divisor of p and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 2:35 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytyt when four letters picked without replacement from aaaayaatyaat.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1209, 1445, 1833, 2367, 3041?\n\"Answer: -d**3 + 82*d**2 - 3*d + 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:10 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 311377 + -3?\nAnswer: 311374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = t - 37, -5*j + j + 34 = 3*t. Let n(f) be the third derivative of -f**5\/60 + 3*f**4\/8 - f**3 - f**2. What are the prime factors of n(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 5*j - 3*p, 2077*j + 2*p + 34 = 2080*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d - 3. Let c(z) = 3*z + 4. Let l(q) = -6*c(q) - 5*j(q). Let w(t) = 2046*t**2 - 4088*t**2 + 2044*t**2. Give w(l(y)).\nAnswer: 18*y**2 + 108*y + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u - 2. Determine y(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(4)\/sqrt(2) - (0 + sqrt(128)))*3)**2.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1305 (base 7) to base 6\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1015 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.117.\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3784)\/(-77))\/(-86)*7\/(-11)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(5096\/(-42)))\/((-9)\/(-12)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 617279730569 - 168?\nAnswer: 617279730401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53331698437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 9:34 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*m - n - 128, -m + 52 = -4*n. What is the remainder when m is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30201 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (33 + -32 - 31).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86931787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 4*x**2 - 3*x + 3. Let k be f(-3). Suppose -k*z + 16 = -2. Let w = 49 + -47. Solve -w + z = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5090 less than or equal to 5090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*t = 9*t + 1100, -4 = t. Find the common denominator of 286*2\/(-72)*3 and 3 + 1 - o\/189.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2299245*u**3 + 598661*u?\nAnswer: 13795470*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 10. Let j be (-1)\/(-1*r\/213). Let c = j - -125. What is the remainder when c is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271.3688ng to tonnes.\nAnswer: 0.0000000000002713688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*g = 2*f - 27, 3*f + g = 21. Suppose 48 = 4*t - 24. Let z = -16 + t. Sort f, z, -2 in ascending order.\nAnswer: -2, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 14*t**2 - 27*t - 18. What is x(-16)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3*l = 17, -7 = -8302*j + 8301*j - 2*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)\/(c\/c**8*c)*(c**(-17)\/c)\/c**(2\/21))**22 assuming c is positive.\nAnswer: c**(-26554\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1794 + 1816. What is the highest common factor of 627 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -7, -0.049, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 3\/5 (c) 5\/4 (d) 4 (e) 0.5 (f) 0.3592 (g) 106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 11528.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = o - 27, -23 = 8*a - 11*a - 4*o. Let d = 1 + 3. Let z = a - d. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 410 and 16236.\nAnswer: 81180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**3 - 9*j**2 + 4*j + 4. Is n(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/20 - (-6)\/(-15). Suppose -6*f - 3 + 27 = h. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + sqrt(675) + 1)**2 + 5)*5.\nAnswer: -150*sqrt(3) + 3405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = -8, -5*n + 2*p = -12. Suppose -3*l + n*l - 2 = 0. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6888 + -26)*(-1)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24800.123 rounded to the nearest one hundred?\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + r + 3*r + 2*r - 3*r + (0*r - 4*r + 2*r)*(-4 - 1 + 4))*(-r**2 + 3*r**2 + r**2).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2172606 or -2172598?\nAnswer: -2172606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 - d + d)*(-600 + 600 - 80*d - 2*d**2) to s*d + x*d**2 + o + l*d**3 + m*d**4 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 61 * 866\nAnswer: 52826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-40)\/o))*o**0*o*o**19*(o**(2\/5)*o)\/o)**(-20) assuming o is positive.\nAnswer: o**412","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, 11.\nAnswer: -23, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-6)*2\/(-3). Let n(m) = m**2 - 13*m - 203. Let a be n(-9). Put g, 5, a in descending order.\nAnswer: 5, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9799 is divided by 105\/(-2)*512\/(-192).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*u**3 + 9803*u - 156509.\nAnswer: 138*u**2 + 9803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12)*(26 - 26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*z - 7*z. Let g = -79 + 44. Let x = 35 + g. Which is the closest to x? (a) -1\/2 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 425 and 1105?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:57 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by (-6)\/36*-3*(0 + 34)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 4*v**3 + 4*v**3 + 5*v**4 + 0*v**4 - 4*v**4 + (11*v**2 + v**2 - 3*v**2)*(v**2 + 0 + 0).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(35)*-1 - -2*sqrt(3500))\/(1*sqrt(720) - (sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80)*1 + sqrt(80))) + sqrt(5) - sqrt(5))))**2.\nAnswer: 847\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/j)**31)**(-49) assuming j is positive.\nAnswer: j**3038","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 26*u**3 - 2*u - 1. Let i be n(-2). Let v = i - -289. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d - 1692 = -106*d - 27*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 129*x**2\/2 - 437084127*x\/2 + 10164747 = 0. Calculate x.\nAnswer: 2\/43, 3388249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3462200*k**3 - 6923984*k**3 + 3461782*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u + 16 = 4*j, 5*u - 14 = -2*j. Solve p = -5*f - 18, f - p = 2*f + j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 28 = 4*t, -2*t + 0*r + 5 = -r. Suppose -2*f - 3*f = -65. Suppose 2*q = 5*k - f, k + 7 = 4*q + 24. Put t, 2, k in decreasing order.\nAnswer: t, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 773 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6529011*t**3 + 203788303*t**2.\nAnswer: 39174066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a factor of 652767248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1128)\/1551*35*(-231)\/(-210).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 5*f**2 + 5*f + 1. Let r be p(6). Suppose 6*o = 3*o - 18. Let q be (o\/(-8))\/(1\/(-4)). Put q, 5, r in decreasing order.\nAnswer: 5, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2698 and 93897145.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3 + 2*i**3 + i**3 - 2*i**3 - 3*i**2 - 2*i**3 + 15*i. List the prime factors of k(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 2 + sqrt(252))*-4 + -5*sqrt(252)*-3)**2.\nAnswer: -672*sqrt(7) + 12412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(814287 + 33*a - 814287 + 31*a**5).\nAnswer: -31*a**5 - 33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggygyyyygyyyyggg. What is prob of picking 4 g?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6890883 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 602448, 602447, 602446, 602445?\n\"Answer: -u + 602449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75359.13ns to milliseconds.\nAnswer: 0.07535913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 - 83. Let y = 2 + -5\/2. Let s = -7 - -7. What is the nearest to s in y, x, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -393*d - 81. Calculate the remainder when y(-3) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/5, 2\/3, -0.4, -0.02?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 2864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 - -162. Suppose 0 = -57*p + m*p - 261. What is p rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2019 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**2 + 28*b - 20. Let z be i(-12). Solve 2 = -o - 5*m + z*m, -2*m = 5*o + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*12\/(-207). Let n be (-12)\/(-78) + (-504)\/(-104). What is the biggest value in d, 2, -8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4*1)\/((-170)\/(-935)). Solve w = 4*p + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 87, 162, 237, 312?\n\"Answer: 75*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.03 + 0.03. Let d = -8.9 + 24.9. Let u = -9 + d. What is the second biggest value in -5, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xypsiyyspqiqqy. What is prob of picking 1 x and 1 y?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/(5\/(-75)). Which is the smallest value? (a) 3\/7 (b) g (c) -3\/5 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose u*t = t + 4. Let c = 1 - 1. Solve c = t*l - 3*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -99525539.7 and -0.1?\nAnswer: 9952553.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 21 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -555 divided by 185.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7*h + 6 = 3*h, -4*z = -2*h + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 30*y**2 + 55*y + 116. Let a be 2\/18 - (-13)\/(1755\/(-3795)). Does 36 divide m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1462*-0.4\nAnswer: 584.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110\/44 - 292\/120\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5993 <= 5995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**6\/360 + 7*x**4\/8 + 2*x**3\/3 + 1. Let g(l) be the third derivative of n(l). Is g(0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163 + -257. Which is smaller: -93 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 16. Let z be w(14). Let j be -4 - z\/(-15)*10\/4. Which is the second biggest value? (a) 1 (b) -0.6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*y + 5*f, 285*y = 282*y + 9*f - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -108 (b) 2\/7 (c) -2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -1, 2, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)\/t)**24\/(t**5\/(t*t**(-2\/11))) assuming t is positive.\nAnswer: t**(-1022\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 39, -5, -0.11, 2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 + 0.5. Suppose -42*d + 43*d - 4 = 0. Suppose 0 = -d*q + q - 3*f - 15, -5*q = 2*f + 25. Put q, i, 5 in ascending order.\nAnswer: q, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: a40 (base 13) to base 8\nAnswer: 3316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -21*j - 6*j + 2 + 10 - 8. What is the units digit of t(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 4:10 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6421.\nAnswer: 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - (-67)\/(-10)) + 0 and 145\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -365*g**2. Let c(u) = 19*u**2 + 2. Calculate c(i(k)).\nAnswer: 2531275*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m, -4*f - 2*m = -32. Let q = f - -6. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g + 1676. Is 2*g*19\/38 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.363 + 0.037. Let a = m + 5.6. Which is smaller: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -16*a**2 - 18*a - 18. Let i be o(-16). Let w be 1 - i\/(-26)*1. Let l = w - -31245\/208. Find the common denominator of l and 121\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177*(452\/(-30) - -15) - -11.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, d: 2}. What is prob of sequence ddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.72 plus -59?\nAnswer: -58.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -70*d + 76*d. Put d, 4, 5, -0.4 in descending order.\nAnswer: d, 5, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 + 4 = f, 5*m = 4*f - 11. Let n be f*(-4)\/(-2) + 1. Let w(d) = -d**3 + 4*d**2 - d + 2. Let b be w(4). Is n greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197\/(-532) + 245066\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*b + b + 76, 4*b = -2*r + 44. Suppose 0*g = 2*g - 6. Let c = g - 1. What is the greatest common factor of r and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*u - 64, 5*u + 135 = -2*z + 7*z. Calculate the remainder when u\/(-2) - (3 - 0) is divided by (-13)\/(-3) - 2\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 20079*l + 6124093. Determine k(-305).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54f8ee5 - -1?\nAnswer: -54f8ee4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*n + 107*n + 10 = 0. Let c(t) = 5*t + 4. Let d(o) = -2*o**2 + 0*o**2 - 9*o - 7 + 3*o**2. Calculate n*c(l) - 3*d(l).\nAnswer: -3*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*d**5 + 62*d**3 - 2*d**2 + d + 7990 wrt d?\nAnswer: -4620*d**2 + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**4 + 68*q**3 + 1662 wrt q?\nAnswer: 8*q**3 + 204*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 95*l + 3. Let h be y(3). Suppose -3*u - u + h = 0. What is the remainder when u is divided by -2 + -4 + 33 + -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k + 3*n - 11, -5*k + 29 = -3*n. Calculate the greatest common factor of 8 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/9*i**3 + 2\/3*i - 2\/9*i**4 - 14\/9*i**2 + 0.\nAnswer: -2*i*(i - 3)*(i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + q**2 + q - 17. Suppose -27*h = -30*h. What is p(h)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**6\/180 + d**3\/2 - d**2. Let z(g) be the first derivative of b(g). Let m(p) = -p**2. Give z(m(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*(-5 + sqrt(117)*-2 - sqrt(117)) + 0 + (sqrt(104) + -4*sqrt(104)*-1 - sqrt(104))\/(sqrt(72)*-5 + sqrt(8)))**2.\nAnswer: 10160*sqrt(13)\/7 + 858308\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5.3 * -37\nAnswer: -196.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 56 + 32 - 36 + 58.\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1\/7 (c) 1\/9 (d) 1\/4 (e) -1.25 (f) 2\/19 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1313*w + 35465. Determine a(-27).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/10)\/(2\/5). Let g(v) = -v**2 + 5*v + 4. Let r be g(5). Solve r*f - c = -5, -j*f + c + c = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Suppose 6 = 2*x - d, -5*d + 2 = -f*d. Suppose -x*w - 14440004 = 2*b, 5*w + b + 9275059 = -8774943. What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2*v**2 - 368*n**2*v + 197*v**2 + 4 wrt n.\nAnswer: -2*n*v**2 - 736*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 16*r + 4*r**2 - 10*r.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/35 + 6 + 93\/(-15).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673.1747 millennia in years?\nAnswer: 673174.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**4\/12 - 16*j**3\/3 + 35*j**2 + 12*j + 15. Calculate f(30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 141569638364 and -0.057.\nAnswer: 141569638363.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-48) + -35*3\/960. What is the closest to 1 in 2, r, -4, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 19*v**8\/336 + v**4\/24 - 22*v**2. Find the second derivative of o(n) wrt n.\nAnswer: 380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8160 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffff. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112850550 to the power of 1\/2, to the nearest integer?\nAnswer: 10623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8977 by -191.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/13 - (-8)\/(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, -316, -296, -258, -196, -104?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 1. Let l(u) = 1 + 0 - 3 + u + 1. Calculate 7*b(v) - 5*l(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.3, 0, -0.2, -616, 5\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(5\/2)\/s*s*s*(s\/(s*s**(-8)*s*s))\/s*s)\/(s**(-1\/7))**(-2\/39) assuming s is positive.\nAnswer: s**(5729\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 - 4*k + 39. Let a(h) = 2. Let z(g) = 5*a(g) - l(g). Let c(o) = o**2 - o + 7. Let b = 20 - 18. Determine b*z(q) + 9*c(q).\nAnswer: -q**2 - q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3 + 59046*c**2 + 4599800*c + 17454528 = 0.\nAnswer: -58968, -74, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 != -9396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7407*v - 6707*v - 6560*v**3 - 11142*v + v**3 wrt v?\nAnswer: -39354*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*d - 35 = -94 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -377, -753, -1129, -1505, -1881, -2257?\n\"Answer: -376*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4399114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5\/t*t*t*t**(-1)*t)\/(t**5*t*t*t*t**(-4\/3)*t))**(-46) assuming t is positive.\nAnswer: t**(230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2337 - 0.253. Let r = q + -8.3407. What is r rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36051\/44 + 9032\/11. What is u in 0*u**2 - g*u + 1\/4*u**3 - 3\/2 = 0?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 2 - 3*t + 3*t)*(-2*t - t - t)*(t - 2 + 2).\nAnswer: -8*t**4 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1181 + 2909 = 3*w. Suppose -f + w = 8*f. Let m = 65 - f. Let y(p) = -4*p + 1. Calculate y(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35007 - 12801. What are the prime factors of l?\nAnswer: 2, 3, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**3 + j**3 + j**3)*(-1 + 1 - 2) + 56*j**3 - 2 + 2 + (4*j - 2*j + 0*j)*(3*j**2 - 4*j**2 - j**2) to the form s*j + m*j**2 + w*j**3 + r and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) -11 (c) 1 (d) -74921 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -730500, -730125, -729750, -729375, -729000, -728625?\nAnswer: -728250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 171. What is the remainder when i is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 123*b - 12423. Determine i(101).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10374 and 261744?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 128*b**2 - 363*b + 1506. Calculate i(-125).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.89 - 14. Let q = j + -3.89. Let m = -3.6 - q. Sort m, -2, -1 in ascending order.\nAnswer: -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a - 107*a**3 - 5*a + 16*a.\nAnswer: -107*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 + 3*a - 2. Let h be m(-4). Determine x, given that -2*x**5 + 4*x**4 + 5*x**3 - 9*x**3 + h*x**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-68)\/12 + 5)\/(-2))\/(51\/9)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (6*(sqrt(1377)*-3 + sqrt(1377)) - sqrt(1377)))**2.\nAnswer: -3510*sqrt(17) + 1163610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-2\/3)\/n*n)\/n*n**(-13)\/n*n**(-2)*n*n**(-17)*n*n assuming n is positive.\nAnswer: n**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*p - 28*p + 20*p to s*p + q and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + 2 - -39) + -30?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8*w + 11*w - 9 = 0, 0 = 4*a - 10*w + 38. Solve -11 = j + j + a*d, j - 2*d + 2 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + (-134)\/(-22))*(-2 + 475). Solve -25*y + w*y - 36 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/6 (b) -22 (c) -719 (d) -5\/3 (e) 1\/4 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 48*i - 132*i + 41*i + 43*i - 3*i**2 + 57*i**4 in the form c*i**3 + j*i**4 + s*i + m + y*i**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101101000001 (base 2) to base 5.\nAnswer: 441134","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 8*h**2 - 8*h + 8. Let d be g(7). Let q be -3*((-57)\/(-9) - d). Let w = q - -26. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1176 and 7448.\nAnswer: 22344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*u - 42, 0 = u - 3*v - 24 + 5. Solve -3*i - u = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -4, -0.5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5\/9 + 1777465*c**4\/9 - 117014207544*c**3 + 23109915942449856*c**2 - 23109798928439808*c = 0?\nAnswer: 0, 1, 592488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4\/(p\/((p*p\/p**(3\/2))\/p))*(p*p*p**(2\/3)\/p)\/((((p*p\/p**3)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etteetee. Give prob of picking 2 t and 2 e.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-15) + (-2)\/(-12). Let o = -3220\/153 + 446008\/20349. Let v = 22\/19 - o. Which is the smallest value? (a) p (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 8 = 3*h, 0 = 5*h - c - 22 + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 560.11 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 27379 = -24*w. What is w rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/56)\/(505\/(-12120))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4753045148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 14. Let v be l(9). Let g = 0 - 0.4. Let w = -0.1 - g. Put -3\/7, w, v in descending order.\nAnswer: w, -3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**4\/2 - 46*r**3\/3 + 143*r**2 - 242*r + 4313. Determine o so that w(o) = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/320 and -85\/6.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2738275 > 18\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkgkkgkkgkkkk. What is prob of sequence kg?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ememmemmme. Give prob of sequence mm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -4. Let w = b + -3. Let s = -0.1 - -2.1. Sort s, w, 4 in ascending order.\nAnswer: w, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = 674*s - 681*s. Solve -11 = 5*n - s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446386, -446402, -446418, -446434, -446450?\nAnswer: -446466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o - 8*o + 2*o + 4*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 28 = 6*y. Suppose y*b - 32 = 5*u + 11, 63 = 4*b - u. What is the greatest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 483 - 421. Calculate the remainder when 241 is divided by l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 120 = -0*f. Let t = f - -24. Which is bigger: 4\/23 or t?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9}. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 66.883. Let m = -0.117149 - a. Round m to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004 plus -11?\nAnswer: -10.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 136 = -3*t. Let q be t\/(-14) + -2 - 54\/(-21). Solve -1 = l + 3*z, 0 = -q*l + l - 4*z - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -11*i**2 + 5\/12*i**4 + 0*i - 5\/6*i**3 + 0. Let r(o) = o - 1. What is 5*r(w) - u(w)?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 - 4*z**3 - 3*z**4 + (-6*z**2 + 2*z**2 + 2*z**2)*(-3*z**2 - 3*z**2 + 4*z**2) - z**4 - 4*z**4 + 3*z**4 - 2*z - 2*z**4 + 2*z + 37*z + 28*z**4 - 37*z.\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 17. Suppose 5*h - b + 3*b = 5, 4*b = -20. What is the units digit of f\/(-12) - (-2)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 + -7)*(-2)\/(-4). Suppose 0 = 5*l - 2*b - 19, 6*b = -4*l + 2*b + i. Solve 2*o + l*z = -o + 6, -5*z - 20 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from aiicciiiiiiiciii.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (20 + -16 - 3 - 44) + (-10 - 0).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -9. Suppose l*r - 15798 = -5*b - 5148, 0 = -b - 3*r + 2132. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - r - 1. Let f(y) = -y**2 - 3*y - 4*y + 22 + 3*y - 11*y. Let n be f(-16). Let b(g) = 4*g**3 + g**2 + 2*g + 3. Give n*t(x) + 2*b(x).\nAnswer: 2*x**3 + 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -58631729 equal to -58631731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + sqrt(847) + -1*sqrt(847) + sqrt(7) + -3*sqrt(1008) + sqrt(7))**2 + (-3*sqrt(1225))\/(sqrt(21)\/(sqrt(3)*-2)).\nAnswer: 96*sqrt(7) + 7624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 244 - 244. Let v = 4 - 1. Suppose d = -v*l - 2*l + 1250. Is l a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4634.2 to the nearest one hundred.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*b**3 - b*f**2 + 12*b*f + 3278*f**2 wrt b?\nAnswer: -60*b**2 - f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**3\/6 - 29*a**2\/2 - 7*a. Let r be x(-19). Let u = 33 - r. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**4 + m**3 - m**2 + 12. Let z(l) = 2373*l**4 + 6*l**3 - 6*l**2 + 7746. Let f(a) = 6*n(a) - z(a). Differentiate f(u) wrt u.\nAnswer: -9444*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25259 or -2?\nAnswer: -25259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o**3 - 820*o**2 - 107*o + 1167. Calculate n(-117).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 748459 times 9.6\nAnswer: 7185206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmywkwu. What is prob of sequence uw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6840.9 + -265102.\nAnswer: -258261.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9624 - 9598. What is the nearest to p in 0.2, 5, 2, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-3 - -6)\/(-3). Suppose h*f + 212 = 6*f. Suppose -f = -3*t + 1. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 231549*o**2 + 231547*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/2490642 and 109\/126?\nAnswer: 2490642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9318, -9312, -9306, -9300, -9294?\nAnswer: -9288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17\/510*10)\/(34\/192). Factor 180\/17*x**2 + 2\/17*x**4 - z*x**3 - 400\/17*x + 250\/17.\nAnswer: 2*(x - 5)**3*(x - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319, -1497, -4241, -9259, -17259, -28949?\nAnswer: -45037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*(-2 - 6). Suppose 174 = 2*y - 4*w - 48, 4*w + 585 = 5*y. Suppose 1 + 2 = -3*k, c*o - k = y. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a minute in seconds?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 + -63. Find the second derivative of -36*p**4 + 5*p + j*p**4 + 82*p wrt p.\nAnswer: -264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 828622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1))**(15\/2))**(2\/69)*((r*r**(4\/5))\/(((r\/(r**(1\/6)\/r)*r)\/r)\/r*r))\/(r\/r**(3\/5)*r**5) assuming r is positive.\nAnswer: r**(-3449\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.5 + -24.5. Let m = 0 + 0. Which is the nearest to m? (a) 1\/11 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/90 - (-2)\/(-18)*4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 2303799.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1171 divide 69993860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j. Let t = 43\/3 + -14. Let h = 1079 - 1079. Which is the closest to h? (a) t (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 45. Let z = -24 + 10. Let m be n(z). Suppose -5*o = -m*o - 186. What are the prime factors of o?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aog when three letters picked without replacement from {l: 3, a: 5, o: 1, g: 1, y: 1}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y = 18. Let a(z) = -z**3 + 14*z**2 - 4*z + 1. Let v be a(y). Find the common denominator of -13\/10 and v\/(-12) + 5\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34519*c + 8160*c**2 - 34519*c - 22746*c**2 + (0*c**2 - 5*c**2 + 3*c**2)*(-4 + 2 + 1).\nAnswer: -14584*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or 1.5?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/5 + 292*r**4\/5 - 4642*r**3\/5 + 760*r**2 + 71808*r\/5 - 147456\/5 = 0. Calculate r.\nAnswer: -4, 3, 16, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -25654882692+0.007\nAnswer: -25654882691.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 118049903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvb when three letters picked without replacement from oeoeoohoeovhoboeoov?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117001260, -117001248, -117001222, -117001176, -117001104, -117001000, -117000858, -117000672?\nAnswer: -117000436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3526668*i**2 + 1097992.\nAnswer: 7053336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**4\/4 + 182*v + 13. Is 26 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2325*h**2 - 57 - h - 6 + 2327*h**2. Give o(8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + (sqrt(52) - sqrt(832))**2)*5 + 1*sqrt(468).\nAnswer: 16*sqrt(13) + 2340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021972.\nAnswer: 2, 7, 17, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*m - 2, 3*m - 6 = 5*u - 9. Solve 6*r + 8 + 22 = u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 + 1)\/(-1) + 14*(-6)\/(-21). Solve 0*p = -0*p - f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546996323 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -4. Let k be 4 + 2 + l + 1. Solve 2*v - k*y + 5 = 0, -5*v - 1 = 4*y + 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 39. Calculate the remainder when 23 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Let g(s) = -7*s + 1. Let r be g(-1). Suppose -r = -f*b - b. Put -2, 1, b in descending order.\nAnswer: b, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4461691 is divided by 235.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 220.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -32106 divided by 252\nAnswer: -5351\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 7 - 10) + 4 + -5 + 2 + 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -836837 rounded to the nearest 1000?\nAnswer: -837000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2662 is divided by 463.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 33 = 5*s, 2050*s - 5*z = 2048*s + 39 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 840 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 84. What is the hundreds digit of 964*(33\/h)\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1096 and -1.\nAnswer: 0.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 12*u**2 + 13*u**2 + 0*u. Let z be q(1). Suppose 2*s - i - 6 - 5 = z, 3*i = -s + 23. Solve -s = 3*a - 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 4*u + 1. Let z(y) = y**2 - 6*y + 1. Let c be z(4). Let f be i(c). What is the greatest common factor of 44 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -120*d + 11128. Let p be f(93). Let y = -0.1 + 0.1. Which is the second smallest value? (a) 0.3 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 73. Solve 3 + v = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228103 + -228101. Suppose 3 + 1\/4*n**p - 2*n = 0. Calculate n.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 9. Let h be n(4). Calculate the remainder when h\/3*(-1 + 112) is divided by 12 + 1 + 0\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-4 - (-28 + 12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -w + 9. Let o(s) = 6*s + s**3 + 4*s**2 + 0*s**2 - 3*s - 1. Let l be o(w). Do 1\/8 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6278*b - 313901. Calculate g(-50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1142*q**3 + 4*q**2 - 4*q - 427. Let w(a) = -1143*a**3 - 5*a**2 + 5*a + 427. Let l(u) = 5*n(u) + 4*w(u). What is the derivative of l(f) wrt f?\nAnswer: 3414*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-40) + 16\/5. Suppose 5 = 5*l + 2*p - 3, -c*l - 2*p = -8. Which is bigger: l or -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + sqrt(80)*-2 + -5 + sqrt(80) + (sqrt(80) - (-2*sqrt(80) - sqrt(80))) + -1*sqrt(80)*-3 + sqrt(80) + sqrt(80) + -1 + -3)**2 + 2.\nAnswer: -704*sqrt(5) + 5243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 - -549. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -372550, -372603, -372656?\n\"Answer: -53*y - 372497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1432*n**4 - n**3 - 6222 wrt n.\nAnswer: -5728*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20763221929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 985857 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 plus -27457974?\nAnswer: -27457852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 452\/7?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064 divided by -4?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*i**3 + 1 + (-3*i + 5*i - i)*(-4*i**2 + 3*i**2 + 0*i**2) - 2*i**3 + 4*i**3 + 2*i**3 + (77*i**2 + 30*i**2 - 25*i**2)*(0*i + 2*i - i).\nAnswer: 87*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 6*i**2 - i + 2. Let g be s(6). Let h be g + 48029\/(-18)*-2. Let t = h + -5339. Find the common denominator of -31\/6 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 9:34 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36.3 and -148.\nAnswer: -5372.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505411.\nAnswer: 505411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (4 + 11 + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16 - 0) + (180 - 194). Solve 15 = -3*y - q*k, -2*y + k = 12 - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2748 + 4764. What are the prime factors of x?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.28 - 0.03. Let c = 0.18 - b. Let k = -6.27 - c. Round k to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*c**2 + 84800155 - c - 84800155.\nAnswer: -472*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m + 41. Let n be l(-5). Let -243 + 44*s - 8*s - s**2 - n = 0. What is s?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 0)*-1))**2 + -5 + (sqrt(19) - (1 + sqrt(19))) + -2 + 1.\nAnswer: 20684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1037 - -1041. Sort -23, 0, a, -25 in ascending order.\nAnswer: -25, -23, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-40)\/(-22) + 2\/11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 5*k - k)*(4*k - k - k)*(-4 - 1 + 1).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 683 + 2*h**3 + 9*h**3 - 5*h**3.\nAnswer: 6*h**3 + 680","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -851*-5\nAnswer: 4255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 20. Let q be s(12). Let j(a) = -3*a + 14. Let m(i) = 2*i - 9. Calculate q*m(c) - 5*j(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24923 + 2741443\/110. Calculate the common denominator of 9\/110 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -59*s - 772. Let l be n(-13). Let x be 3\/9 + 4\/(-3). Sort 1, x, l, 5.\nAnswer: l, x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1134.29 and -0.129.\nAnswer: 146.32341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 11:51 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + sqrt(1008))*-6 + (sqrt(1008) + sqrt(1008) + -2 + 4 - (sqrt(1008) + ((sqrt(1008)*-1 - sqrt(1008)) + sqrt(1008))*2)))**2 + -2.\nAnswer: -20160*sqrt(7) + 229934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + -4)*10\/4. Suppose 2*h = -o*v - 95, 9*v - 4*v = 2*h - 75. Let z be (v - -20)*5\/3. Solve 3*t + 7 = -z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9 - 27 = 0. Suppose 2*a + p = -9. What is the common denominator of (-20)\/a + -1 - 18\/(-6) and 68\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 0 + sqrt(45) - sqrt(45))*-5.\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 515765 and 6.\nAnswer: 3094590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4053611 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1063*u - 1076*u + 89349. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -440 - 5?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -366 - -399. Suppose -m = -3*m + 12. Calculate the smallest common multiple of m and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/7)\/(b*b\/b**(-3\/4)*b)*(b*(b\/b**(-2\/15))\/b)\/((b**(-2\/13)\/b)\/b) assuming b is positive.\nAnswer: b**(-967\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22953532?\nAnswer: 2, 7, 819769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-707472)\/340*(-20)\/6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (99\/(-4))\/(14\/(-56)). What is the greatest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.281 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 93\/1307?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 2*f + 2*f + (f + 0*f + f)*(-4*f + f + f) + 4*f**2 - 7*f**2 + f**2 - 2*f**2 - 4*f**2 + 4*f**2)*(1441*f - 1464*f + 3201*f).\nAnswer: -28602*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-490463\nAnswer: -98092.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Let i(r) be the third derivative of -1\/3*r**3 + 24*r**2 + 47\/12*r**4 + 0*r + 3. Determine f(i(a)).\nAnswer: 188*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -1223*s**5\/20 - 1841*s**3\/3 - 123*s**2 - 4*s. Differentiate o(f) with respect to f.\nAnswer: -7338*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5706132 is divided by 33965?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120120 - 1?\nAnswer: 120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -277999\/28 - -9927. What is the common denominator of -137\/36 and c?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 + 13*l**3 - 71*l**2\/2 + 23*l.\nAnswer: -l*(l - 23)*(l - 2)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4922 + 4976. Calculate the greatest common factor of 2295 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1066 - 595. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -283, -1, 3 in descending order.\nAnswer: 3, -1, -5, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459450.7227 plus -0.0901?\nAnswer: 3459450.6326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 0*x - x - 7*x**2 - x.\nAnswer: -6*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7, p: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65345, -130492, -195439, -260186, -324733, -389080, -453227?\nAnswer: -517174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 g when three letters picked without replacement from sgsbggbbbbsgsoxbxb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 650 + 337. Suppose -4*w + 7 = -i. What is the highest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.2623\nAnswer: 0.7869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*z + 3*p = -23*z - 2673, -4*z + p = 89 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:04 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/305, -2\/19, 0, -34, 1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 7*n - 16. Let b be i(12). Let q = 107 + b. Suppose -33 - 4*z**2 - 13*z - 19*z - q = 0. What is z?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153733545 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - w - 117. Give g(0).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1461 - -1473. Solve 17*w + k - 12 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 23830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 62*b = 12960. Sort -2, 0, b in ascending order.\nAnswer: -2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 158, 273, 464, 731, 1074, 1493, 1988?\n\"Answer: 38*i**2 + i + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2847837.1 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 16 in decreasing order.\nAnswer: 16, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/8 - 72547587*f.\nAnswer: -3*f*(f + 193460232)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuukuuuukuuuuuu. What is prob of picking 4 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2. Let p be l(0). Suppose -4*h + 7 = 5*a - 5, 2*a + 5*h + 2 = p. Solve 0 = -4*d + a - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(18*1\/(-8))\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3305814793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 108*u**2 + 16*u + 8. Let p be q(-11). What is p rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182594 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -25242?\nAnswer: -25301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 666 and 13098?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y + 62. Let t(n) = -n. Let r(o) = -3*t(o) - u(o). What is the remainder when r(9) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 15 + 15 - 20*s**2.\nAnswer: -20*s**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -123241 (base 6) to base 10\nAnswer: -11113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 11*m**2 + 18 + (-1 - m + 3*m + 0*m)*(2*m - 5*m + 2*m) + (m - 6*m + 3*m)*(-6*m + 7*m - 4*m) + 2*m**2 + 0*m + 0*m.\nAnswer: 17*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6103055.7 nanoseconds to hours.\nAnswer: 0.00000169529325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*b - 17, -24*b + 29*b - 26 = 7*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66394 = 10*x + r - 66675, x - r - 27 = 0 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1636*a**5*o + a**2*o**2 - 4*a**2*o - 4*a*o**2 - 9046*a*o - 2*a wrt a.\nAnswer: -32720*a**3*o + 2*o**2 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 114, 40, -46, -144, -254, -376?\n\"Answer: -6*g**2 - 56*g + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcyq when four letters picked without replacement from {q: 3, j: 2, c: 3, e: 1, n: 1, y: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -289574, -289575, -289576, -289577?\n\"Answer: -h - 289573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8682.5 and 3.211?\nAnswer: -27879.5075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-3 - (-38)\/(-6)). Sort -1\/3, -0.3, -1\/6, g in descending order.\nAnswer: -1\/6, -0.3, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let b(i) = -4*i + 2. Let g be -12 + 19\/(76\/40). What is g*r(a) + b(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49309702, 49309698, 49309694?\nAnswer: 49309690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(147))**2*-2.\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 360?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wibwygbh. What is prob of picking 1 y and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(5*j**2 + 0 + 0 - 2).\nAnswer: -5*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/(4\/(-54)). What is the derivative of 4*r**4 - 3 + 6 - 1 - t*r**4 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38509334 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - 29\/2. Let c(v) = v**2 + 2*v + 1. Let h be c(-6). Let f = h + k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**4 - 10*z**4 + 19*z**3 - 16*z**4 - 1 + 16*z**3 - 38*z**3 + 2*z**2 as l + p*z + w*z**3 + n*z**2 + k*z**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106943831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1956\/(-27) - 67\/(84420\/560)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*w**2 - 90*w**2 + 6*w**3 + 5*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10022 (base 3) in base 10?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -70 + 79 - 4\/((-40)\/(-98)). Let v be (39\/(-6))\/((-2)\/(-4)). Let y = 19 + v. Which is the smallest value? (a) -1 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 6 + 10 + 10 - 9. Let v be j(-9). Suppose -2*r + 18 = -v. What is the greatest common divisor of 91 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -2694942\nAnswer: -5389884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teyyttttttywetty. Give prob of sequence yt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 477132111 less than 477132111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -968344 divided by 26?\nAnswer: -37244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -339168, -678172, -1017004, -1355664, -1694152, -2032468?\n\"Answer: 86*q**2 - 339262*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -112567*f + 112512*f - 1002 - 563, 5*f + 20 = 2*y - 110 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30600 and 32220?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 0.54?\nAnswer: -9.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 7*u + 1. Suppose 5*b + 10 = -5*l + 10*b, 5*l = -4*b - 46. What is h(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = 2*q. Let r be 3\/(27\/6366) - 2. Let k = -712 + r. Are q and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484947887 to the power of 1\/3, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000038429 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1124, -1127, -1132, -1139, -1148, -1159, -1172?\nAnswer: -1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343005678 divided by -705773.\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oppo when four letters picked without replacement from opoppoppppp?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7441098.\nAnswer: 2, 3, 7, 23, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 7}. Give prob of sequence qp.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-6))\/(-11)*-37*2\/(-2220)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (20 - 7) - 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001448 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((6*(sqrt(2) + 1))**2 - (2*sqrt(200) + sqrt(2))**2) + 2.\nAnswer: -772 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15365560 divided by -548770\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3541 is divided by 68?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 914, 260, -7, 11, -3 in decreasing order.\nAnswer: 914, 260, 11, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -11100000001101111?\nAnswer: -11100000001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 - 4456*s**3 + 113892*s**2 - 806720*s + 1740800 = 0. Calculate s.\nAnswer: 5, 16, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49281 is divided by 156.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5461 + 1888 = 133*n - 782 + 1348 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 34*m + 68 - 22 - 2*m - 22 in the form k*m + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:18 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 317397 - 500197. What is y rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7\/t**5*t\/t**(1\/5)*(t\/t**(-7))\/t*(t**1)**(-1\/60)*(t*t*t*(t\/t**(-1\/4))\/t)**(18\/11) assuming t is positive.\nAnswer: t**(9967\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 134 = 4*r - 221, r - 80 = s. Let i = 189 - r. What are the prime factors of 2\/(-2 + i\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*z + 51*z + 8*z - 1 - 13*z + 74*z.\nAnswer: 157*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40937.24mm to micrometers.\nAnswer: 40937240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5373 - -5375. Solve s*l - 11 = 2*t + 7*l, -3*t + 5*l = -21 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o + 2*o**2 + 8*o - o**2 - o**2 + 0*o**2 - 2*o**2 + (4*o**2 - o**2 + 0*o**2)*(-1 - 1 + 1) to the form s*o + u + m*o**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506 and 907488?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5133 + 5141. Put a, 2, -1\/5, 2\/9, -2\/9 in descending order.\nAnswer: a, 2, 2\/9, -1\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16648 is divided by 4715?\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 253202005*p**3 - 733*p - 18504 wrt p?\nAnswer: 1519212030*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4 + 812*i**3 + 3312*i**2 = 0.\nAnswer: -4, 0, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*66\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232 + -13220031101?\nAnswer: -13220030203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 not equal to 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 9*y - 560. Let p be (10 - y\/16)\/((-3)\/(-20)). Calculate the greatest common factor of p and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-10)\/(-1480))\/((-25)\/10)*-5.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 50 = 17*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 296.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1165 - 667. Are 498 and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 23. Let y be c(-14). Suppose -4*d - 1 + y = 0. Differentiate 5*f**d - 30*f**2 + 111 - 109 with respect to f.\nAnswer: -50*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-100) - (1 + 360\/(-175)))*1064\/24.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6687245 and 8451?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -9\/2, 0.776, -2\/3?\nAnswer: 0.776","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -26*g**2 + 216*g - 9. Let q(l) = 11*l**2. Give f(q(t)).\nAnswer: -3146*t**4 + 2376*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - z**3 + 0*z**3)*(-3*z + 3*z - z + (3*z + 0*z - z)*(1 + 1 - 3) + (-7*z + 3*z - 3*z)*(4 + 2 - 2)).\nAnswer: -62*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 21 = -23. Let t = 4 - 2. Suppose y - t*l - 5 = 0, 4*y + 4*l = -6 - 10. Is y greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5127 and -5172 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3840.5?\nAnswer: 3840.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 737 - 699. Suppose 0 = -v*z + 47*z - 6012. What are the prime factors of z?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186337819.\nAnswer: 186337819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 73 = -2*p, -2*g = -0*g - 2*p - 34. Calculate the remainder when 38 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20640.3*0.087\nAnswer: 1795.7061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28020 - 11206. What is the highest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**4\/3 + 7*l**3\/6 - 3*l**2. Differentiate f(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.068309896 + -29.931569104. Let k = z - -30. Round k to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from llllllpoeleplklllee.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14877 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (33 + (6 - 19) - (1 + -5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -182, 0.2, -3?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**2\/2 - 4*y. Let r(q) = 4*q + 1. Give 2*g(m) - r(m).\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 326.58 and 59?\nAnswer: 19268.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r + 1 - 2*r**4 + 17*r - 2*r**3 - 4*r to the form z*r**3 + y + k*r + l*r**2 + t*r**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*n = -257, 0 = -n - 0*n - 1. Let z = 108 - s. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + c**2 + 2*c**2)*(2 + 6789*c + 366*c**2 - 6789*c) as j*c + k*c**4 + h + m*c**2 + r*c**3 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 453728 and 56?\nAnswer: 3176096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14255630 and 144120.\nAnswer: 14399750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 133240, 132001, 130762, 129523, 128284, 127045?\n\"Answer: -1239*c + 134479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*3 - 2\/1. Let q(d) = -d**3 + 5*d**2 - 5*d + 3. Let u be q(y). Let r be (-8)\/(-12)*(u + 4). Solve -4*s - 6 = r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 11:18 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nij when three letters picked without replacement from niqqjj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2. Let w(q) = 8*q. Let p(h) = -17*h. Let s(y) = 2*y**2 - 2. Let k be s(2). Let c(f) = k*p(f) + 13*w(f). Calculate l(c(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2690 + 2618 = -18*f. Solve 0 = 3*x - 12, -x = 2*i + f*x - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -3, 2142, 17.3, 1\/2 in descending order.\nAnswer: 2142, 17.3, 1\/2, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 13\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n + 318 + 7 = -347 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Let t = -501\/22 - -1035\/44. What is n in 0 + t*n**j - 3\/4*n - 9\/4*n**3 + 9\/4*n**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukk when three letters picked without replacement from rkbqkkhkuhkqurrrhhku?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 7*q**2 + 15 - 12.\nAnswer: 12*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3211*o + 6. Let l(q) = -9639*q - 17. What is 17*b(m) + 6*l(m)?\nAnswer: -3247*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 1. Let u be n(1). Suppose 6*c - c - k + 255 = u, 4*k + 255 = -5*c. Let r = -16 - c. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 9*n + 3*n + (0 - 4 + 3)*(-1 + 2*n + 1).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*b + 1142 = -2*s, 23 + 60 = 3*b - 4*s - 136 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 27\/4. What is the nearest to n in 1\/4, -2, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/5)\/(2 - 1315\/650). Suppose 2*t = 1252 + l. Suppose 0 = -3*o + x + t, x = 5*o + 5*x - 1113. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((64\/12)\/(-2))\/(496\/24)*(-63)\/(-84).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 150 - 126 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334 + -101142204?\nAnswer: -101141320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1290*p + 133. Let v(y) = -5*y - 1. Let r(s) = d(s) - v(s). Is r(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l + 536. What are the prime factors of j(0)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - -3.1. Let b = 14 - -6. Let k = 16 - b. What is the biggest value in k, -1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 22*t - 8. What is the remainder when 39 + 2\/(-4)*0 is divided by m(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -5*a**2\/2 - 5*a + 7. Let x(w) be the second derivative of w**3\/3 + w**2 - 2*w. Give -4*f(v) - 11*x(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 4. Let f be y(6). Find the second derivative of -2 - f*g**5 - 3 + 2*g + 5 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let k(o) = -567*o**2. Calculate k(s(g)).\nAnswer: -567*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1)\/(15*9\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597415 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 145\/10*5*86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2159\/3 - -721. Factor 1\/3*f + g*f**2 + 0 + f**3.\nAnswer: f*(f + 1)*(3*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*x - 18 - 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/4 of a litre in millilitres?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 4. Let s be d(3). Let y = 3 - s. Is (-3)\/y - 647\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481 bigger than 2477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/165)\/(4\/10). Let y = -57 - -283\/5. Let w = 3 - -2. Which is the closest to -1? (a) y (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24544212379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 57 = 2*p. Suppose -470*z - 534 = -476*z. Calculate the remainder when z is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 + 26\/(-21112)*92. Which is the fourth smallest value? (a) 1\/2 (b) 2 (c) 1\/3 (d) l (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w + 3. Let a be (w - (-9)\/6)*4. Solve 20 = a*s - 7*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)*(-15)\/30*8\/(-20)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 > -28472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 5*x**3\/3 + 795*x**2 - 3200*x - 1463. What is r in g(r) = 0?\nAnswer: -320, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3943 - 3924. Solve -v*o - 120 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - -8. Suppose -v + 3*v - 4*o - 52 = 0, -v - o + f = 0. What is the remainder when 117 is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/50)\/((-924)\/2310).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*p + 3*t, 5*t = -5*p + 1462 - 1392 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4 = -3*j, 8633*j - 8634*j - 25*i = -25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6628 + 11203. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*1 + 3)**2 + (sqrt(176) - (sqrt(176) + (sqrt(176)*2)**2*4)).\nAnswer: -2631 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:46 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/36)\/((24\/9)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70*j + 12*j - 20*j)*(-17 + 3*j**3 + 17) to o*j + q*j**4 + p*j**3 + x*j**2 + a and give q.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 42. Let m(a) = a**3 - 2*a**2 - 2*a. Let c(h) = -h**3 + 2*h**2 + 3*h - 1. Determine r*m(o) + 2*c(o).\nAnswer: o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/60 - m**4\/6 + m**3\/3 + 2*m**2 + 78*m. Suppose -2*s + 4 = -s. Let l be h(s). Solve 2*p = p - l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11718364 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 470c?\nAnswer: 4710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 0 - q**3 - 4 - 4*q + q as k + l*q**3 + p*q + v*q**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35299196 or 35299194?\nAnswer: 35299194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530*r - 518*r = 964212. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36936 is divided by 11313.\nAnswer: 2997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 284456?\nAnswer: -284457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 190, 610, 1288, 2224?\n\"Answer: 129*h**2 + 33*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3432*x**3 + 31758*x**2?\nAnswer: 20592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8663226, 8663224, 8663222, 8663220, 8663218?\n\"Answer: -2*d + 8663228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2440 or -5665?\nAnswer: 2440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83504*r**2 + 48495*r + 1 wrt r.\nAnswer: -167008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25852 - -25864. Calculate the remainder when 4235 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 2*p**6\/15 - p**4\/6 - 13*p**3\/2 + 3*p**2 + 8. What is the derivative of w(x) wrt x?\nAnswer: 48*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2370 and 2592.07.\nAnswer: 6143205.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -675\/44?\nAnswer: -675\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 3. Let u(w) = 2*w - 4. Suppose -r + 15 = -5*s, 4*r + r - 5*s = 75. Suppose -i = 40 + r. Let y = -59 - i. What is y*u(m) + 6*o(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33127 to 2 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6581 - -7803. List the prime factors of u.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27002721 to the power of 1\/2, to the nearest integer?\nAnswer: 5196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = 3*t + 160. What is the common denominator of 53\/7 and t\/14*(-175)\/(-375)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1. Let x = 7\/6 + -65\/42. Let q = x - 1\/21. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + a**2 - 6*a + 5. Let g be s(3). What is the tens digit of 8 + -5 + (-3 - 1) - g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -3, -7, 0.77489?\nAnswer: 0.77489","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*g + 93, g = 8*x - 3*x - 162. Let i = 3 + -4. Let c be i - 9*(-3)\/x. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32551 is divided by 10848.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrrxgrxr. What is prob of picking 3 g and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 9*b**2 + 12*b + 14. Let t be o(3). Put 3, 6, 28, t, 0 in ascending order.\nAnswer: t, 0, 3, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -45*g**5\/4 - 59907*g**4\/4 - 15945*g**3\/4 + 35931*g**2\/4 - 3993*g\/2 = 0?\nAnswer: -1331, -1, 0, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1490*s**2 + 1495*s**2 + 797*s**2.\nAnswer: 802*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 10773\nAnswer: 10\/3591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495 and 221355.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o + 21216 = -191*o - 309*o for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 68*j**2 + 111*j - 155. Is a(-74) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + f = 9*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708 + 735 = -97*b - 691 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 226231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6718 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*u + 42 = -215*u - 6. Solve 0 = 4*x - 20, -x = -o + 4 - u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z - 4*m + 349, m = -4*z + 288. Let i = -94 - z. Let q = i - -419. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1652 or 0.3?\nAnswer: 1\/1652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -33.9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*f = 7*i - 26, -2 = 3*i + 2*f. Let m(v) = 2*v**2 + 3*v + 0*v + i - v**2. Calculate m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 5*t - 23*t)*(1 - 1 - 3)*(3 + 1 - 3).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6620*j**4 + 948*j wrt j.\nAnswer: -79440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.7, -0.13, 2, -7 in descending order.\nAnswer: 3.7, 2, -0.13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 131?\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.22 + -0.02. Let t = -0.028 - -1.248. Let w = t - a. What is the smallest value in 0, w, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 15723 = 2*n - 4*n, 2*n + d - 15713 = 0. Let c = 8639 + n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2001121221 (base 3) to base 5\nAnswer: -2244202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.563914367 rounded to two decimal places?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 86\/303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5161, 4558, 3955, 3352, 2749?\n\"Answer: -603*s + 5764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381, 385, 391, 399, 409, 421?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -100000?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 9*c**3 + 2*c**3 - 17*c**3.\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 936310 and 2180.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 1\/2, -1, 64?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aootaocoookoooykyokt. Give prob of picking 1 a, 1 t, and 2 y.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 0, 25, -27, -5 in increasing order.\nAnswer: -119, -27, -5, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 65*h**2 + 275*h + 375.\nAnswer: 5*(h + 3)*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51000 = -37*s - 13*s. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -7)*(-1)\/3. Suppose 0*v - 470 = -n*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 151, -30199 in increasing order.\nAnswer: -30199, -4, 3, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/10 - 93*l\/10 + 27.\nAnswer: (l - 90)*(l - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 8*l - 103. Let t be m(16). Suppose -18*p = -t*p + 14. Sort 37, 5, p.\nAnswer: p, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24090, -24095, -24102, -24111, -24122, -24135, -24150?\nAnswer: -24167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 5*q**2 - 5*q - 4. Let b be k(-4). Suppose 0 = -2*i - i + 12. Factor -2*s - 1 - 4*s**3 + 6*s - 2*s**i + 3 + b*s**3.\nAnswer: -2*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slzslzllllsszl. Give prob of picking 2 z and 1 l.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 11*v - 7. Let f be d(-11). Let l(a) = a**3 + 7*a**2 - a + 5. Let h be l(f). Calculate the highest common factor of 36 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:51 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300 + 7701*p + 611 - 311.\nAnswer: 7701*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 236 = 5*h. List the prime factors of h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.404 - -0.404666. What is n rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuuxe. What is prob of picking 1 x and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 5*p + 2*s, 2*p + 1210*s = 1225*s for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 3, k: 3, a: 3}. Give prob of picking 2 a and 2 k.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3895 (base 11) to base 12.\nAnswer: 2b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16.8? (a) 6 (b) 0.064 (c) 0.3 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*x = -76*x + 81. Suppose 0 = 2*b - 2 - 2. Let q(l) = -3*l + 0*l**b - 1 - l**2 + 0*l**2. Calculate q(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 488 = 21*q + 22*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**4 - 15*j**4 - 6*j**4)*(-4*j - 2 + j + 2*j).\nAnswer: 25*j**5 + 50*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 3*l**2 + l**2 + (-7*l + 0 + 0)*(-2*l - 1 + 1) - l + l - 2*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x - 5*x + x**3 - 5*x**2 - x**3 + 5*x**2 + 5*x**3 - 3*x**3 - 4*x**3 + (x**2 + 0*x**2 - 2*x**2)*(2*x + 2*x - 5*x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-6)*((-10)\/4 - (-88)\/16). What is the third smallest value in -2\/19, 2\/25, q, 0.07?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -88353, -88495, -88747, -89109, -89581, -90163?\n\"Answer: -55*g**2 + 23*g - 88321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*y**4 + 160174*y**2 - 7*y - 417812756 wrt y.\nAnswer: -12*y**3 + 320348*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2164 + 42?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 less than -0.0119?\nAnswer: -163.0119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 2) + (-14 - -35 - 30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 102 + 537?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 80777847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11201122 (base 3) to base 2.\nAnswer: 110101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: What is 3620 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -146, -1\/4?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 199428.89 - 195844. Let r = l + -3602. Let f = 17 + r. Which is the third biggest value? (a) -5 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -562 + 562.0000009. What is z rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 7939791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 30, 63, 106, 159, 222, 295?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 5*d + 55, -8*d + 1 = k - 7*d for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 53.\nAnswer: -7\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 1 + 1 + (-2*a + a + 3*a)*(1 - 4 + 2) + 4*a - 2*a - a - 3490*a - 3679*a + 7477*a + 4.\nAnswer: 309*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.6 - 6.55. Let t = 62.05 - h. Let q = -66.5 + t. Round q to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113350 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2)\/(r**(2\/9)*r)*(r*r*r**(2\/7))**(-4\/5) assuming r is positive.\nAnswer: r**(-1591\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -79 + -1*(1 - 3). Let f be 1142\/11 - 14\/c. Suppose 0 = 5*b + 14 - f. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12722 and 1?\nAnswer: 12722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 176.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvzvhvhhhvhzvzvvzzz. What is prob of picking 2 z and 1 h?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4020 - -a0?\nAnswer: 40c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -101001111 (base 2) to base 12\nAnswer: -23b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 139830 and 0.18104057?\nAnswer: 139829.81895943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -13, 8, 5, 1\/2, -1\/4 in decreasing order.\nAnswer: 38, 8, 5, 1\/2, -1\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -107 + 107 - 2*a**2. Let z(i) = i**2. Let y(b) = -r(b) - 4*z(b). Let u(j) = -j**2. Calculate y(u(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.288 + 12.412. Round i to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, g: 1, b: 1}. What is prob of picking 1 g, 1 b, and 1 d?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 7 - 32 = 0. Suppose 4*r = v*r - 5. Let y be (-274)\/(-18) + 2\/(-18)*2. Solve r*b - y = 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 22 = 7*m + 13, 4*m + 20 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1291 and 0.065 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 674136*o + 2. Let x(r) = -57*r + 2. Calculate x(s(k)).\nAnswer: -38425752*k - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 3. Let q be n(-2). Let u = q + 30. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33641412 less than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6)\/(q**(4\/3)\/q))**(2\/87) assuming q is positive.\nAnswer: q**(-1\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3079\/7 + -439. Factor 0 - 2\/7*d**4 - q*d**3 - 4\/7*d**2 + 0*d.\nAnswer: -2*d**2*(d + 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9349582 to the power of 1\/2, to the nearest integer?\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1633 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 53 = -4*p - 2*s, -8 = -2*s. Let f(j) be the third derivative of -j**4\/6 + j**3\/2 + 43*j**2. Let z(d) = -17*d + 13. Determine p*f(m) - 2*z(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v + 11*v - 19*v. Let b(n) = n - 6. Determine x(b(g)).\nAnswer: -g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23839.7115 less than -0.3?\nAnswer: 23839.4115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 - 106*i + 75 + i + 2*i - i + i - i - i + (4*i - i - i)*(3 - 5 + 0) + 0*i + 2*i - i + 4 + i - 4 as k*i + q and give k.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44, -36, -6, 58, 168, 336?\n\"Answer: 2*j**3 - j**2 - 3*j - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730682.\nAnswer: 2, 103, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 + (10 - 6) + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -437, -1051, -1901?\nAnswer: -2987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 14 = 4*v - b, 1 = b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 3*p**2 + 1. Let t be q(-2). Suppose -u - 1 = -i, 6*u - 2*i = 3*u - t. Sort 1\/8, u, 0.4 in ascending order.\nAnswer: u, 1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1269 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 38. Determine j(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 243 - 268 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k - 4*w - 2216, -3*w - 1772 = -4*k. Let y(x) = -3*x**2 - 440 - 2*x + 878 - k. Suppose t + 2 = -0*t. Give y(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 3374181\nAnswer: -3374176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-9)*(-2838)\/(-7568).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k\/k**1*k))**(2\/9)\/(k\/k**(2\/11)*k**(-1\/6))*(k**(-3\/2)\/(k**(-2\/13)*k*k))**(-2\/15) assuming k is positive.\nAnswer: k**(-881\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 24, 53, 104, 183, 296, 449?\n\"Answer: q**3 + 2*q**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -55*z. Let o(c) = 186*c**2 - c. Give o(h(j)).\nAnswer: 562650*j**2 + 55*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 greater than 1144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (sqrt(33)\/sqrt(3))**2 - (sqrt(88)\/sqrt(72) + sqrt(11))*1.\nAnswer: -4*sqrt(11)\/3 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1681 divided by -1681\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 10*o**2 - 6*o + 1. Let c(n) = -2*n - 10. Let z be c(-6). Suppose z*u = u + 9. What is the units digit of y(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 54, 102, 158, 216, 270?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -507, -753, -999?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10275 is divided by 10133?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472235 is divided by 94438.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*a**2 - 99*a**2 + 22*a**2 in the form z + t*a + i*a**2 and give i.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 4. Let d be w(-2). Let f = 13 - d. Let r(u) = 2*u**2 - 5*u**2 - 8*u**2 - 9 + 9*u. Let a(y) = -5*y**2 + 4*y - 4. Give f*a(p) - 4*r(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v + 9*v - 16*v + 2*v. Let g(s) = -13*s - 9. Suppose 0 = h + 2*h + 27. Let x(a) = 6*a + 4. Let i(y) = h*x(y) - 4*g(y). What is r(i(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143465230 (base 7) to base 16.\nAnswer: -90e35c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 21 + 69 - 22 - 16*f**4 + f**3 - f**2 to the form t*f**4 + p + m*f + k*f**3 + i*f**2 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/220 and -2\/209.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:29 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 121*a**2 - 3*a - 2. Let q be (-25 + 29)\/((-2)\/(-1)). Suppose 2*o = -4*u + 8 + q, -5*o = 5*u - 10. What is the remainder when s(o) is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16014835*b**3 - 3257319*b**2 wrt b?\nAnswer: 96089010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10560)\/1408*4\/(-360)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3330 (base 6) to base 10.\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -5*w - 10, -196*g = -193*g + 4*w + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1)*(-9)\/54. Suppose z - 4*q - 104 + 118 = 0, 4*z + 4*q = 24. Factor -t - 4\/3*y**z - 5\/3*y.\nAnswer: -(y + 1)*(4*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v + 1. Let j(q) = 141*q**2 + 126*q - 10. Give j(p) - 9*u(p).\nAnswer: 141*p**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1 + 1)\/((-3)\/1774). Let v = -527 + w. Let m = -75917\/33 - v. Find the common denominator of m and -22\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945605483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*q**2 + 133*q**2 + 132*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10 + 14*q + 15*q**2 + 106*q**3 + 105*q**3 + 11*q - 210*q**3. What is the remainder when 85 is divided by h(-13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*w - 4635 + 37 = 112*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2. Let c(g) = 666*g - 4. Give s(c(m)).\nAnswer: 2661336*m**2 - 31968*m + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -26. Let p be -6*8\/u*3. Let l(a) = a - 4. Give l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11211 + -1?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6022)\/(-20)*(-3)\/(-18). Let i = -238\/5 + f. Find the common denominator of ((-124)\/(-32) - (8 - 4))*-86 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -41*g**2 - 4019*g - 96. Give t(-98).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 6:55 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 12, 138.\nAnswer: 8, 12, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, u: 2, o: 1, y: 2, r: 6, c: 1}. What is prob of picking 1 u and 1 r?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 40. Suppose 2*a - s = -5*a. Suppose 0 = a*x - 14 - 1. Solve -3*r + 3*h - 3 = 0, -3*r = 6*h - x*h + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**27\/l))*l*l**(-13))\/(l*(l\/(l\/(l*(l*l**20)\/l*l)))\/l)**(1\/6) assuming l is positive.\nAnswer: l**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45\/(-4 - (-55)\/10) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2036 divided by 2\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16198631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 53*f + 25 - 1 - 42*f.\nAnswer: -95*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -91\/4, -5, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4118, -16458, -37024, -65816, -102834, -148078?\nAnswer: -201548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -80289 divided by -1?\nAnswer: 80289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w - 129 - 341 = -120*w. Let l(v) be the first derivative of 13 + 5\/3*v**3 - v**w - 5\/2*v**2 + 5\/4*v**4 + 0*v. Factor l(y).\nAnswer: -5*y*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1295 and 61.332.\nAnswer: 61.4615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (6 + -10) - -3) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5196321 and 897?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/7, 11, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4085.\nAnswer: 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.5357\nAnswer: 1.6071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 322148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 169\/31 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9502*b**5 - 172*b - 7 wrt b?\nAnswer: -190040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370.27 rounded to the nearest ten?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -107, -208, -349, -542?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -748*p + 747*p + 6. Let t be (-672)\/(-144) + (-2)\/p*2. Solve -t*y - 6 = 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 5765965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122659*b**3*h**3*u + b**3*h**2*u + 11*b**3*h**2 + 2269*b*h**2*u wrt h.\nAnswer: 735954*b**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**4\/24 - 2*j**2. Suppose -3*w - 4*a = -5, 0*a - 3 = -5*w - 4*a. Let l be (-1 - (-1 + w)) + 0. Calculate q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.9 - 5. Let s = i - 1.3. Let m = 1.194 - 2.194. Sort -1\/6, s, m in decreasing order.\nAnswer: -1\/6, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.013 - 4.387. Let o = 4 + m. Let x = 0.3 + -0.4. Put o, x, 0.2 in decreasing order.\nAnswer: 0.2, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - 27. Let g = 42.3016 + -0.3016. Let y = g + d. Which is the nearest to -1? (a) y (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. Find the common denominator of 9\/4 and (-30)\/(-9) - (u + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m**2 - 75*m + 128. Let b be ((-27)\/(-6) - 3)*-4. Let y(v) = -2*v**2 + 19*v - 32. Let n(p) = b*f(p) - 22*y(p). Factor n(a).\nAnswer: -4*(a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 6:02 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -467 + 470. Let 6*o**4 - 3*o**3 + 3*o**4 - o**5 - 2*o**5 - 3*o**z = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7344*i + 14518*i - 7328*i. Let m(v) = 5*v. What is m(u(a))?\nAnswer: -770*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -134547 to the nearest one hundred.\nAnswer: -134500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u + 2. Let y be b(-1). Let o(g) be the first derivative of -1 - 1\/2*g**2 - 12*g. What is o(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 10:14 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57508 divided by -2.\nAnswer: 28754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -142, -144, -146, -148, -150, -152?\n\"Answer: -2*n - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 7303\/1673?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6410, -6417, -6436, -6473, -6534, -6625, -6752?\nAnswer: -6921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 - 702*o**2 + 6079*o - 897. Determine s(225).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 6*c + 5. Let i be d(-7). Is ((-1)\/(-2))\/(i\/(-12)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/3)*p*p)**43)**(-5\/4)\/((((p\/(p\/(p\/(p**(-12\/5)*p)*p)*p*p))\/p)\/p)\/p*p**(-2\/59))**28 assuming p is positive.\nAnswer: p**(-282023\/3540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 262923 - 24009 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11682246 is divided by 1060?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2412 - 5?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -591980*u**6 - 3*u**4 - 31917396*u**2.\nAnswer: -71037600*u**3 - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b. Let h(f) = 15*f - 3. Calculate d(h(u)).\nAnswer: 120*u - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2 + 0)*-1. Suppose -3*o + 20 + 7 = c. What is the remainder when 37 is divided by 3\/(o\/(-15))*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000221 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 8*y**2 - 61*y - 219. What is n(-6)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 - -52. Let p = 55 + r. Solve x - p = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 633 = r - n, 2 = -3*n + 5. Let z = r - 626. Solve -2*c = -2*k, -z*k + 5*k = 4*c + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 21 + 16)*(-126*t - 2 + 32*t - 38*t).\nAnswer: -3564*t - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -342d4 - 82?\nAnswer: -34356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-30)*-2*(-60)\/(-90).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 18*t**3 + t**2 - 5*t - 7. Let c(a) = -15*a**3 - a**2 + 4*a + 6. Give 5*c(j) + 4*z(j).\nAnswer: -3*j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 60974.9 to the nearest one hundred.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0 + 1\/2*d**2 + 5\/6*d**3 - d. Suppose 5*o = -6 + 11. Calculate x(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15279856525)\/(-6175) - 8\/(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 273 = -307. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 - 105. Suppose -t + 2*t + 4*c - 13 = 0, v*t + 4*c = 16. Suppose g - 4*m = -3*m - 6, -2*m + 6 = 4*g. What is the nearest to t in 1, -3, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + -2)*-5 - (sqrt(68) + 3 + 2)) + ((2*sqrt(68) - sqrt(68)) + -2 - -3*1*sqrt(68)))**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7856 divide 739565317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231 + 236. Let t be m + -11 - -1*20. Let z(v) = -v**3 + 5*v**2 + 2*v + 3. Let f be z(5). Is t bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 3. Let i(n) = -7*n - 5. Let g(r) = 8*r + 6. Let j(z) = 6*g(z) + 7*i(z). Let a = -4 + 6. Determine a*j(w) - q(w).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.144, -2\/67, -16\/7 in decreasing order.\nAnswer: 2.144, -2\/67, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 22 = r - 0*u, -2*r = -3*u - 47. Suppose r*c - 60 = 7*c. Suppose -62 = -c*v - 37. Solve 25 = -0*g - v*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22663\/2324 - 1\/581. Calculate the common denominator of (-3)\/9*-62 + 3 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-14)\/(-2) - -1. Suppose -11*l + 6 + 16 = 0. Suppose -z = l*o - 3*o. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l - l + 0*l)*(2*l**2 - 3*l + 3*l)*(l - 1 + 1)*(0*l + l - 4*l).\nAnswer: -60*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:52 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u - 10 = 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77820 - 4?\nAnswer: 77816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 + 818 = -28*q. Let l be (-6)\/21 + (-4)\/476*q. Factor 4\/17*x**2 + l*x - 4\/17 - 2\/17*x**3.\nAnswer: -2*(x - 2)*(x - 1)*(x + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-159)\/(-21) + -8 - (-4)\/(-7). What is the closest to i in 3, 0.2, 9, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-14) - 2\/(-7). Let o = 0 - -1\/2. Factor -1\/4*x**5 - 1\/4 - f*x**3 - o*x**2 + 3\/4*x + 3\/4*x**4.\nAnswer: -(x - 1)**4*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**2\/m)\/m)\/m**(-5))\/(m**0*m)**(-5\/12) assuming m is positive.\nAnswer: m**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(891) - (sqrt(891) - (sqrt(891) + -1) - sqrt(891))) + -3)**2)*-3.\nAnswer: -10734 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -81*b + 515. Determine f(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -396 at least -394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 867*s**3\/7 + 3162*s**2\/7 + 492*s + 168.\nAnswer: 3*(s + 2)*(17*s + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*k + 101*k = 35. Suppose -k*a = -2857 - 832. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {x: 5, p: 7, w: 2}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 1815.1087 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*c**3 - 178381*c**2 + 2*c + 167213936 wrt c?\nAnswer: 141*c**2 - 356762*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 665432 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -20\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -2. Let p = -3 + a. What is the units digit of 8*(4\/2 - p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27, -38, -55, -78, -107, -142?\n\"Answer: -3*n**2 - 2*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93755 is divided by 160.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8368.838l?\nAnswer: 8368838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 36094 = 29*n + 2*c, 3*n + c - 36092 = 0. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Let n = -3 + r. Suppose -n = -5*a + 9. Sort a, -7, -2.\nAnswer: -7, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i**2 + 28*i*m**3 + m**3 - 56*m**2 wrt i?\nAnswer: 8*i + 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13107047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/16 and -65\/4104.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - 11*z**2 - 9. Suppose 2*t + 2 + 2 = 0. Let r be (-10)\/t - 4\/2. Let p(d) = r - 1 + 5*d**2 + 2 - d**3. Give -9*p(y) - 4*v(y).\nAnswer: y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1462*i**2 + 7309*i - 15. Calculate z(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:30 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90833744?\nAnswer: 2, 101, 56209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 2*s + 5*s + 8 + 2*s to t + o*s and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6178769235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1158489882 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -295 + 298. Suppose -t - 2*t = v*q - 3039, -4 = 2*t. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/49*9\/(-18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -0*p + 3*y - 3, -5*p = -5*y + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 1\/120*i**5 + 3*i**2 + 1\/3*i**3 + 0*i**4 + 0 + 0*i. Let w(r) be the first derivative of b(r). Let m(u) = u. Give m(w(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 6*j + 1. Let u be t(5). Let d(q) be the second derivative of -q**5\/20 - q**4\/4 + 2*q**3\/3 + q**2 + 32*q. Determine d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43566 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.06 (b) -1211 (c) 0.06 (d) 5 (e) 1 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -55.4 at most as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -9. Let z = 4 - 3.7. Which is the third biggest value? (a) -2\/17 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/((-3)\/(-9)). Let a(r) be the second derivative of 1\/2*r**3 + c*r**2 + 0 - 3*r. Differentiate a(u) with respect to u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 1)*(7 + -4). Suppose h*a - 420 = 3*a. Solve 7 = 7*s - a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzpllja. What is prob of sequence jal?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 5*g**2 - g**3 + 5*g**2 + 2*g**3.\nAnswer: g**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 - 17) + ((-90)\/72 - (-2829410)\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 230 = q - 183, -410 = 4*i - 2*q. Let f = -105 - i. Which is smaller: f or 1\/44?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1607 - 558. Find the second derivative of -2*q**2 + 2*q**2 - c*q + 1095*q + 14*q**4 + 124*q**4 wrt q.\nAnswer: 1656*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/91 - 82\/273. What is the second smallest value in h, 4, 7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + -1592\/15. Let l = 1 - 0.4. Let q = l + 3.4. Sort q, t, 0 in decreasing order.\nAnswer: q, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-26) + (-20)\/(-130). Suppose -2*n + 4*l + 26 = 0, -64 = -4*n - 0*n + p*l. Find s such that -38*s**2 + n*s**2 - 6*s - 6*s - 8 + 17*s**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 0.3 (c) -3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -675866.822 - 4.\nAnswer: -675870.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2799*z - 79031. What is u(29)?\nAnswer: 2140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0.23451.\nAnswer: -7.23451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3562182353 rounded to four decimal places?\nAnswer: -0.3562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47507168*k**2 - 617570.\nAnswer: -95014336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400 - 250 - 32 = 86*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.5407.\nAnswer: 0.05407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2593 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 + 3*s. Let x(k) = -k**3 + k**2 - 4*k. Calculate 4*u(n) + 3*x(n).\nAnswer: n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245596670?\nAnswer: 2, 3, 5, 227, 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 12:32 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5709, -11420, -17135, -22854, -28577, -34304?\nAnswer: -40035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.380673s in minutes?\nAnswer: 0.30634455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*y**4 + 53*y**3 - 53*y**3 + 4*y**4 - y**4 + 2*y**4 + (0*y**2 - 3*y**2 + 4*y**2)*(-3 + 3 + y**2).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*r - 39*r - 9 = 0. Let l(b) = -4*b. Let g be l(-1). Suppose -r*c + g*s = -3, 2*c = 3*s + 5 - 3. What is the third biggest value in c, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 - 12*a. Let d = -48 - -42. Let r(f) = -13*f**2 + 22*f. Let q(v) = d*r(v) - 11*n(v). Let z(c) = -14*c**2 + 17*c**2 + 22*c**2. What is q(z(b))?\nAnswer: 625*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481219 is divided by 25985.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 542 + -290. What is the highest common divisor of a and 1848?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 30*j**3\/7 - 2169*j**2\/7 + 1761*j + 1386 = 0.\nAnswer: -7\/10, 7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/2)\/6)\/((-14)\/3).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:39 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/9 - 1414*w**2\/9 + 11216*w\/9 - 7456\/3 = 0. Calculate w.\nAnswer: 4, 699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5*((sqrt(325) - (2 + sqrt(325) + 1)) + 6*(sqrt(325) + (sqrt(325) - (sqrt(325) + -1)) + sqrt(325))))**2)*4.\nAnswer: 36000*sqrt(13) + 4680904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 18*q**3 - 22*q**2 - 9*q + 4. What is the remainder when v(3) is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4999739 + -4.5. What is u rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -3 + 14)\/(2\/68). Suppose 32*b - 29*b - a = 0. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3 - 432460*i**2 - 1729888*i - 1729904 = 0.\nAnswer: -2, 108119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*m - 11*m**2 + 10*m**2 - 341*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*w**2 - 111*w**2 + 394*w**2 - 96*w**2 - 69*w**2.\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opop when four letters picked without replacement from {p: 13, o: 6}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -638, -2810, -6438, -11522, -18062?\n\"Answer: -728*u**2 + 12*u + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f + 48. Suppose 8 + 7 = -3*n. What is the least common multiple of 12 and z(n)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 - 3*l + 1. Let g be x(4). Let d = g + 8. Let f = 3 - 0. Solve 0 = -3*w + 2*n + d, f*w - 6 = w + 4*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137038.\nAnswer: 2, 11, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 374214 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 4*g**2 - g - 4. Let c be k(-4). Let l be 3\/(3\/(-9) + c). Let o(d) = d**2 + 8*d - 1. Let b be o(l). Is b > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 10 + -21 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, b: 5, m: 2}. What is prob of picking 2 m and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0*w + 0 + 15*w**2 + 1\/12*w**4 + 1\/3*w**3 + 1\/60*w**5. Let f(v) = v + 1. Suppose 6 = -12*a + 30. Give a*f(o) - d(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2698860 by 4353.\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31427*h*x**2 + 6*x**2 + 103*x - 2 wrt h?\nAnswer: 31427*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7691 divided by 903?\nAnswer: 7691\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/21 and 9\/8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 5 + (5 - 4 + 1)*(3 - 4 - 1) - 510 - 2091 - 3470)*(2*k + 2*k - 3*k) + 1 - 1 + 2*k in the form y*k + c and give y.\nAnswer: -6071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - (-2324)\/(-84))\/((-4)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**3 + 3*p**2 + 16239*p - 16241. Give b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d + d - 3 + 4*d + 0. Calculate u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duud when four letters picked without replacement from uduud.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyyg. Give prob of sequence yg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207620.2 litres to millilitres.\nAnswer: 207620200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15024169 is divided by 114.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 30138453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fefffeef. What is prob of picking 1 f and 1 e?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 258*j**3 - 3024*j**2.\nAnswer: -3*j**2*(j - 72)*(j - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5794767 and 46358136?\nAnswer: 46358136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22932)\/1050 - -22)\/(-1*(-1 - 3)\/(-2)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2225290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39 + -7 - (3 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 6. Let z(r) = 4*r**3 + 27*r**2 - s*r**2 + 5*r - 11*r. Let b(d) = d**3 - d. Let i be -7*(1 - (-1)\/(-7)). Calculate i*b(l) + z(l).\nAnswer: -2*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, y: 1, r: 1, m: 3, j: 3, a: 2}. What is prob of sequence amy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -6, 1213, -10, 3, -3 in descending order.\nAnswer: 1213, 5, 3, -2, -3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**2 - a - 6. What is g(-3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 15*f - 30. Let j(u) be the first derivative of u**3\/3 + 3*u**2 + 4*u + 1. What is j(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o - 5*o + 6*o**3 - 11*o**3 - 24*o**2 - 15*o**3.\nAnswer: -4*o*(o + 1)*(5*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7797 + 740732\/95. Calculate the common denominator of o and -2\/95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o**2. Let q(s) be the second derivative of -5*s**4\/12 - 71*s. Calculate l(q(g)).\nAnswer: 325*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-four fifths of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382 = 3*i - 2*p - 380, 2*p + 12 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Let k be 29\/377 - 4\/((-104)\/102). Let l(b) = 5*b**2 + 4*b - 4. Let s(m) = -4*m**2 - 3*m + 3. Determine g*l(z) + k*s(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - j. Let y(i) = 3*i - 4. What is -y(w) - z(w)?\nAnswer: -w**2 - 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111 (base 2) to base 14.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*o**3 + 15*o**3 + 22*o**3)*(94 - 34 - 279 - 551) to the form x*o**3 + z*o + h*o**2 + t and give x.\nAnswer: 18480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(4*(-3)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 8*h - 254. Suppose 5*q = -2*t + 77, 5*t = t - q + h. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3648, -2, 4, -5, 2 in increasing order.\nAnswer: -3648, -5, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 8. Let p be w(-6). Let a = p - -1. Solve -x + 0*x + a = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.411039 + -0.02.\nAnswer: -0.431039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (2\/2 - -2). Let q(j) = -j**3 + 10*j**2 - 8*j - 10. Let f be q(9). Let d be (-334)\/(-8) + f\/(-4). What is the highest common divisor of m and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -832958.7262 to the nearest one thousand.\nAnswer: -833000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.035 + -3.035. Suppose 2*n = w + 1, 22 = 3*n + 2*n + 4*w. Put -1\/26, n, j in ascending order.\nAnswer: -1\/26, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a8 (base 15) in base 13?\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 216.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-32)\/5 - 2)*345\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16295.\nAnswer: 5, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10921, 10926, 10933, 10942?\n\"Answer: o**2 + 2*o + 10918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 3. Suppose a + p = -3*a. Suppose 12 = -4*s - 0. Is a at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/11594 and 121\/620.\nAnswer: 115940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 0 - 1\/2*s**2 + 15*s. Let v(x) = 2*x + 2. What is -v(b) - 2*y(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 351329 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 4*x + 4. Give g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*i**3 + 168*i**3 - 332*i**3 - 6 - 2*i**2 - 10 + 1.\nAnswer: 6*i**3 - 2*i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {i: 2, e: 4, k: 2, l: 1, m: 4, x: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**2 - 9. Let l be j(3). Suppose -l = 2*t + 7*t. What is the closest to 1 in 1\/2, -1, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 (base 8) in base 3?\nAnswer: 1002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 63 = 0. Suppose a - 18 = 3*n. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 356.1402, -5 in descending order.\nAnswer: 356.1402, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - z - 15 = 0, 3*g + z - 13 = -0. Solve 5 = -h + 2*a - 7*a, 0 = -5*h - 4*a - g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11265126 (base 7) to base 16\nAnswer: -f1f14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*a + 21580, t + 2*t + 2*a - 16190 = 0. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29725 divided by -1\nAnswer: -29725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.341\nAnswer: 0.1023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 = -2*p, -5*p = 5*u - 2 - 3. Suppose -x + 2*x = 2*l + u, -4*x - 4*l + 8 = 0. Suppose 4*j - 58 = x*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270899 + -169405. Let n = p + -101446.0024. Let y = n - 48. What is y rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -498, -497, -496?\n\"Answer: d - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Suppose -b = 4*l - 2*v - v, -4*l = -5*v + 5. Suppose l = -3*q + 25 - 7. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -91, 782925 in decreasing order.\nAnswer: 782925, -4\/9, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from jljlklllejlekpklejk?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.196049548 to 5 decimal places.\nAnswer: 0.19605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/2)*p*((p\/p**(2\/11)*p)\/p)\/p*p*p*(p**0*p*p*p)\/(p*p**(-2\/15))*((p\/(p*p**(-2\/27)))\/(p*p\/((p*p**(-1)*p)\/p)))**31 assuming p is positive.\nAnswer: p**(-161129\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12597 + 25652 - j - 12523.\nAnswer: -j + 532","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2\/7 (c) -21 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/4, 4, -2\/11, 21, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -5*v + 29, -607*v = -607*v + p + 4 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-246)\/(-1599))\/(5\/13). Determine i, given that -x*i**2 + 176\/15*i + 8 = 0.\nAnswer: -2\/3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 + -132. Suppose -q = -5*a - 12. Let g(h) = h**3 + 4*h**2 + 7*h + 1. Let d(x) = -x**2 - 1. Let c(o) = a*g(o) + 3*d(o). Calculate c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1922170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1379574, 1379572, 1379558, 1379526, 1379470, 1379384, 1379262, 1379098?\n\"Answer: -f**3 + 5*f + 1379570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6 and -40\/167.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92.9 - 93. Suppose -5*f - 5*f - 40 = 0. Let q = 0.3 - -0.2. What is the biggest value in -1\/3, g, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -0.98, 0, 12\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 463713379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(405*c + 261*c - 289*c) as g*c + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 210217.91 - 646?\nAnswer: 209571.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 540340 - -5?\nAnswer: 540345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 1)\/(3 + (-66)\/21). Let u(x) = -x**3 + x**2 + 5*x**2 + x + p*x + 2 - 11*x. Calculate u(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 12. Let u be j(7). Let b = -113.3 - -113. What is the closest to -2 in -2, b, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28, -93, -202, -355, -552, -793?\n\"Answer: -22*c**2 + c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 1, -1, 254, 3 in descending order.\nAnswer: 254, 3, 1, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1 + 2450*h**3 - 2448*h**3 + 3*h as k*h + n + m*h**2 + w*h**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, k: 8, c: 4}. What is prob of picking 2 k and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -27*w + 4 + 2 + 0. Let g be l(4). Let f = g + 715\/7. Find the common denominator of f and 50\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -20) + -2 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55244239*m**5*o + 2*m**4 + 2*m*o - 36*m - 763176 wrt m.\nAnswer: 1104884780*m**3*o + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -57.021. Let i = s + 0.079. Let o = 22 + -16. Which is the third smallest value? (a) o (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/11)\/(69\/46)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 30 = -x + s, -5*s + 37 + 8 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -30, -113074, -11, 3, -2, 5 in descending order.\nAnswer: 5, 3, 0, -2, -11, -30, -113074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 248.5, 7, -15, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018864101 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 divided by -75?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 21\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159075 is divided by 326?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 6*r**2 - 10*r - 4. Calculate s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 481056, 1924076, 4329110, 7696158?\n\"Answer: 481007*w**2 - w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from -1371.\nAnswer: -1370.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49862, -49943, -50024?\n\"Answer: -81*w - 49781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -123, -405, -829?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2. Let q(a) = 320*a. Give b(q(h)).\nAnswer: -614400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpoa when four letters picked without replacement from {c: 5, o: 7, p: 1, m: 5, a: 1}.\nAnswer: 35\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 2*t - 33. Suppose 7 = -4*j - 13. Let w be h(j). Which is the smallest value? (a) w (b) 5 (c) -0.3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117\/115 - 466\/345. What is the nearest to g in 16\/117, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*c - 225, 5*n + 564 = 5*c + 189. Let z = n - -130. What is the greatest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/2 of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 + -0.0697.\nAnswer: 242.9303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*j**4 + 0 + 12*j - 68\/5*j**2 + 4\/5*j**3.\nAnswer: 4*j*(j - 3)*(j - 1)*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2641 + 2659 = -4*m + 2*n, -4*m + 4*n = 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 268237.3 hours in seconds?\nAnswer: 965654280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 1\/342543 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 329. Let x(c) = -7*c**2 - 38*c - 13. Let n be x(-5). Suppose -n*d + a = -1. What is the highest common divisor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**2 - 508*t - 4470. Calculate d(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -81, -77, -73, -69, -65, -61?\n\"Answer: 4*t - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*36\/(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.09, 3, 1.1, -2\/6313?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (8 - (4 - -16))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by 231.\nAnswer: 83\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Let k(c) = 3 + 1083*c**2 - 2170*c**2 + 1086*c**2. What is k(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.007635 + 0.055378. Let f = 0.95 + -0.887. Let r = f - g. What is r rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6085 divided by -1217\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 2. Let q(d) = 1. Let o(n) = 6*q(n) - y(n). Let r be o(-7). Calculate the highest common divisor of 5 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, o: 3, d: 5}. Give prob of picking 1 o and 3 d.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 51417386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18\/5 of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 172389*j**2 - 772965.\nAnswer: 344778*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/10025 and 11\/19640.\nAnswer: 39378200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 98*a - 100*a + 19 = 0, -4*a = -5*r - 5. Let f(s) = -s**2 + 9*s - 5. Let z(j) = -5*j + 3. Calculate r*f(t) + 5*z(t).\nAnswer: -3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + l = 5, 3*v - 2*l - 3 - 1 = 0. Let z = -1.24 + -3.76. Which is the closest to 0.25? (a) z (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18930122 and 712?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 83*a - 2324 = -26*a. Calculate the highest common factor of a and 14532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (-1*(5 + sqrt(3) + sqrt(3) + -2 + 1)**2 - sqrt(33)\/(1*sqrt(891))*-4).\nAnswer: -140*sqrt(3)\/9 - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 2*l**2 + 3*l - 4. Calculate j(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*r + 113. Let v = -185 - -219. Let i = r - v. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -1a998?\nAnswer: 1a996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 35716*b**2 - 748272*b.\nAnswer: -4*b*(b + 21)*(b + 8908)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*d**2 - 14607 - 13156 + 40288 - 14620 - 213*d wrt d?\nAnswer: -32*d - 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -1.06. Let m = x - -2. Let r be (-1)\/(2*(1 + -6)). Put 3, r, m in descending order.\nAnswer: 3, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 5, 95, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0539 - 321.5461. Let s = x - -322. Which is the second biggest value? (a) s (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/11294 and 79\/84445238.\nAnswer: 84445238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9090 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/62829 and 27\/805142?\nAnswer: 21738834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06843 - 0.08.\nAnswer: -0.14843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, q: 4, k: 1, o: 3}. What is prob of sequence hkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113.9999968 - 114. What is g rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -109. Suppose 3*w + 8 = d. What is the closest to 1 in -12\/7, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -45*v**3 + 16*v**2 + 10*v - 70. Let i(h) = -22*h**3 + 8*h**2 + 6*h - 35. Let d(m) = 13*i(m) - 6*t(m). Is d(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 + 3. Let j(z) = -z**2 + 1. Let b(w) = 2*j(w) - u(w). Let k(q) = -4 + q**3 + 2*q**3 + 4*q**2 - 5*q**3. Determine -4*b(n) + k(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 389422 bigger than 389422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1018031670 - -0.1.\nAnswer: 1018031670.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - y + 1. Let k be l(1). Let t be k + -1*18\/16. Which is the nearest to -0.2? (a) -0.4 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8290*d**2*x - 4*d**2 - 2551*d*x + x wrt d.\nAnswer: -16580*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrrfwtog. Give prob of sequence to.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43692 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: Suppose 0 = 2*t + 3*d - 443, 0 = -t - 8*d + 3*d + 225. What is the common denominator of 163\/30 and t\/(-12) - (-2)\/4 - 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*i = 1498 + 562, -2*i = w - 1024. Suppose -5*p + 947 = -w. Suppose 0 = -0*q - 3*q + 4*x + 223, 5*x = -5*q + p. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/7 and 107\/1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 111123614 and 9195.\nAnswer: 111132809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 2*y**2 - 18. Let r(h) = 7*h**2. Give f(r(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vggvjfcggcgucj. What is prob of sequence vufv?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*l + 29127 = 0, 0 = -2*y + 39*l - 43*l + 14602. What is the highest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20017 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902304 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/(6 - (-9)\/(-9)). Which is the smallest value? (a) -0.4 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -195c - 3?\nAnswer: -1962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311775, -623555, -935339, -1247127?\nAnswer: -1558919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 862760369*f**6 - 370*f**2 - 11*f + 7215 wrt f?\nAnswer: 103531244280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 134540*o**2 - 3501075*o - 9292230.\nAnswer: 5*(o - 26934)*(o + 3)*(o + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1989 is divided by ((-1830)\/(-12) - -10)\/(8\/32).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 13*c - 2. Let a(t) be the second derivative of -t**7\/2520 + 37*t**4\/12 + 41*t. Let o(b) be the third derivative of a(b). Give z(o(j)).\nAnswer: -13*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(8\/(-12))*-2. Let h be -1 + (1 - 49)\/l. Let z be 1\/(-3 + 50\/h). What is the greatest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-16)*y)**25 assuming y is positive.\nAnswer: y**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1687*l - 6751. What is b(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -17, -34, -67, -122, -205, -322?\n\"Answer: -r**3 + r**2 - 3*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/468*(-6)\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -1 - 11. What is the lowest common multiple of v and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12600 and 3432800?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 985715*-2.\nAnswer: -1971430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**3\/3 - 5*y**2 - 6*y - 1. Let z be g(11). Let t(b) = 2*b**2 + 5. Is 11 a factor of t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 36936, -9.\nAnswer: -11, -9, 36936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3094812, -6189481, -9284148, -12378813, -15473476, -18568137, -21662796?\n\"Answer: h**2 - 3094672*h - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4 + 6126*m**3 + 4072620*m**2 - 977037376*m - 981103872 = 0 for m.\nAnswer: -1624, -1, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9078*a - 45398. What is y(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.1 (b) 13672 (c) 58\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = -2*y. Suppose 6*p + 80 = p. Put p, y, 0 in ascending order.\nAnswer: p, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399425 divided by -90?\nAnswer: -79885\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y**3 + 83*y**3 - 48*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 9*h + 13. Suppose 3*m + 7 = 3*c - 2*m, -5*m = 4*c + 14. Let s be 2556\/(-71)*c\/(-4). What is v(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(4*(-1)\/(-76))\/(-3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/4))**(2\/113)*(l*l**(-17\/2))\/(l**6*l) assuming l is positive.\nAnswer: l**(-1635\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h = -16. Let g be (h\/(-4) + 4)\/2. Suppose 0 = 4*k - g - 52. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-20 + 5)) + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**3\/6 + b. Let y = 13 - 18. Let i(c) = -3*c + 2. Let p = 111 + -112. Give p*i(t) + y*n(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 26. Determine x(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 280090 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) 365 (c) -0.3 (d) 2\/29 (e) 0.1 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42692 divided by -6369?\nAnswer: -42692\/6369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.053 and 14907.\nAnswer: 14907.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 480183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, -104, -290, -550, -884?\n\"Answer: -37*a**2 - a + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 381324411?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let q(b) = 8*b**2 - 2*b + 2. Let n(i) = -9*i**2 + 3*i - 3. Let o(d) = 4*n(d) + 6*q(d). Determine x(o(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 66.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k**2 + 24 - 24)*(-4*k + 5*k + k) + (0*k + 0*k + 3*k**2)*(-46 + 29*k + 46).\nAnswer: 65*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 57*(-1)\/6*-3*(-8)\/12\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*t = -48, 0*t - 26 = -m - 2*t. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*y**3 - 1160*y + 2928.\nAnswer: 12*y**2 - 1160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5 + 2*n**4*w + 25*n**3*w + 19*n**2*w + 121*w wrt n.\nAnswer: -120*n**2 + 48*n*w + 150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -23. Let h be (-2 - -4)\/2 - n. What is the units digit of h\/(-5) + (-16)\/40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-15))\/(j**4*j))\/(j**(-7\/4)*j**(-1)) assuming j is positive.\nAnswer: j**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 7:18 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -76185, -76183, -76181?\n\"Answer: 2*l - 76187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l + 2. Let q(h) = -7*h + 10. Let d(k) = 8*k - 12. Let i(w) = -5*d(w) - 6*q(w). Give b(i(a)).\nAnswer: 18*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 20. Let p = -5 + j. Let y = -7.1 + p. Which is the nearest to 0.1? (a) y (b) -1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 6*x. Let c = 15 - x. Calculate the remainder when c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2174637*s**2 + 311706*s + 5 wrt s.\nAnswer: 4349274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -1, -1\/6, 70 in descending order.\nAnswer: 70, 24, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -23 - 17. Suppose -5*u = -7*u + w. Suppose -3*d - u = 2*d - 2*p, 0 = 2*p - 10. Which is the second smallest value? (a) d (b) -4 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 + 23*x**4 - 5*x**2 - 9 + 3*x**2 - 25*x**4 - x**3 as v*x**2 + c*x**3 + t + k*x + h*x**4 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3843.9 + -3844. What is the closest to -1.2 in 10, 1\/2, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*g + 48*g + 14 = -53*g. What is the second biggest value in 2\/5, g, -600\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 326 + -320. Let a be -9 - k*(-25)\/(-30). Does -16 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by 51378?\nAnswer: -89\/51378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + h = 4*m - 2, -2*h - 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i + 15. Let x(w) = -4*w**3 - 9*w**2 - 6*w + 6. Let n(b) = -9*b**3 - 19*b**2 - 13*b + 13. Let o(u) = -3*n(u) + 7*x(u). Calculate o(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*t - 214, -3*t - t + 4*w + 368 = 0. Suppose -4*o + 3*z = -t - 54, 4*o + z - 163 = 0. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 14*r**2 + 21. Let p be i(-14). Which is the biggest value? (a) p (b) 3\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14411.\nAnswer: 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 358 - 385. Let l(b) = -22*b + 217. List the prime factors of l(a).\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/((-5)\/25). Let u = 0.4 - -2.6. Which is the second biggest value? (a) 0 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 82732.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 332690128 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78438*c*h**2 + 15*c*h + c + 2*h - 2 wrt h.\nAnswer: -156876*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 1\/3 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + z + 1. Let w(v) = -3*v**3 - 10*v**2 - 5*v - 5. What is -w(t) - 5*y(t)?\nAnswer: 3*t**3 + 15*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 0.93. Let v = s - -4.03. Let y = -1 + v. Sort -2\/17, y, 4 in descending order.\nAnswer: 4, y, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from aavaabvvyavts.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*u - 16, 6*u - 273 + 297 = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {a: 1, g: 2, x: 11}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {n: 1, v: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79796.954 + 79733. Let b = -5.036 - c. Let o = 0.082 + b. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**7\/105 + 211*w**6\/15 + 41*w**5\/60 + 241*w**2 - 2*w. Find the third derivative of i(t) wrt t.\nAnswer: 48*t + 10128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/7)*k**16 assuming k is positive.\nAnswer: k**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 2)*(3 - 2*w - 3)*(11 - 9 + 14) to the form t*w + h and give t.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.504495nm?\nAnswer: 0.000001504495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24176549701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 161\/2. Let z = 0.97 - -0.03. Let q = 0 + z. Which is the third smallest value? (a) s (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.76 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-14))\/(-6*(-7)\/(-588)). Let y be l - (3 - 45\/9). What is the greatest common factor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 351745.\nAnswer: -1758725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16\/953 + -1858\/2859. Suppose 2*m + 90 + 6 = 0. Let i be -1*6*(-6)\/m. Which is the closest to 2? (a) i (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -20, 2 in increasing order.\nAnswer: -20, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/((-51)\/(-2)*3)*((-555)\/20)\/37.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1143*o + 6. Suppose 7*n - 9*n + 2 = 0. Is y(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134 + -11310051?\nAnswer: -11305513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + 0 + 1 + -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25031 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 2*a. Let z(c) = -2724*c**2 - 9*c + 1. Give 5*f(j) + z(j).\nAnswer: -2729*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001045048096 to 7 decimal places.\nAnswer: -0.001045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4556, 4557, 4558, 4559, 4560?\n\"Answer: f + 4555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 1248?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/70*(-245)\/42)\/(4\/(-6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(400)*-1) + (2 + sqrt(171)*2)**2.\nAnswer: 239*sqrt(19)\/10 + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-35))\/(7\/(-315)))\/(1222\/(-329)).\nAnswer: -54\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -2)\/(-3 + 1). Suppose z = 2*o + 6 - 14. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 79 - ((-31)\/(-124) + 46\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 95*d**3 + 0.\nAnswer: 95*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g, 0 = 3*v - 5*v - 2*g + 60. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22272 and 2028.\nAnswer: 3763968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3) + (-16)\/(-6). Suppose 0 = j + 2*g - 7, 5*j = -8*g + v*g + 25. Let z be (-3)\/(-12) + 2\/(-8). Sort j, -5, z.\nAnswer: -5, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -1 - (-7 - (2 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0*w**2 - w**3 + 0*w**6 - 11\/42*w**7 - 6*w + 0*w**4 + 0 + 0*w**5. Find the second derivative of z(g) wrt g.\nAnswer: -220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24633 and -15.\nAnswer: -24648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/2 - j**3 + 477*j**2\/2 + 454. Find the second derivative of k(l) wrt l.\nAnswer: -12*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 4*a - 8. Let h be s(-6). Suppose -13 = h*j + 7, -5*j = -5*u + 80. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 24305231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5\/2 + 9*s**4 - 6*s**3 - 9*s**2 + 15*s\/2 = 0. Calculate s.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15741, 15743, 15745?\nAnswer: 15747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 44*i**2 + 337. What is the thousands digit of a(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 35344?\nAnswer: 141376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:40 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 15*a - 35. Let u(j) = j**2 - 2*j + 7. Let p be u(5). Suppose 2*i = -5*d + p, 2*d + 8 = 4*i + 3*d. Solve -i + 7 = -a*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30046, 17, -11 in increasing order.\nAnswer: -30046, -11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y - 83. Calculate d(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-5))\/100*2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i**2 + 0*i**2 + i**2)*(-3*i**2 - 2*i**3 + 3*i**2) + (6*i**4 + 3*i**4 - 2*i**4)*(-1 + 1 - 6*i))*(3 + 3 - 3) - 6*i**5 + 7*i**5 + 8*i**5.\nAnswer: -129*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7674*f. Let d(w) = -w**2. Give c(d(s)).\nAnswer: 7674*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (2 - -6) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42262760*z**2 + 66680354 wrt z?\nAnswer: -84525520*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*r**2 + 38*r**2 - 15*r**2 - 13*r**2 in the form z*r + j + h*r**2 and give h.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/197? (a) -0.5 (b) -0.15 (c) -2 (d) -1152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*g - 139*g + 33 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 2*h + 2165 = 0. Suppose -5*m + h + 172 = 0. Suppose 32 = n + y, -2*y - 3*y = -3*n + 88. Calculate the remainder when m is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-8)\/6))\/(2 - 418\/176)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 15*x**2 + 26*x + 3. Determine l(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/35 in 2, -1.7, 3, -831?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 180*o**3 - 14*o**2 + 41*o + 9. Let f be w(17). Suppose -44*c = -43*c + f. Round c to the nearest 10000.\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p + 4. Let s be o(-2). Suppose 0 = r + 6*r - 84. Let m(t) = t**3 + r - 2*t**2 + 3*t + s*t**2 - t. What is m(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7))**26\/((((g\/(g**(-2)\/g))\/g)\/g)\/((g\/(g**(-2\/3)*g))\/g)) assuming g is positive.\nAnswer: g**(-205\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i - 4 = 0, 4*u - 28 = -5*i. Suppose 9*l + 2*n + 1418 = 12*l, 4*l - 1890 = u*n. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**4 + 76*b**3 - 280 wrt b?\nAnswer: -4*b**3 + 228*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 219 + f**3 - 7*f**2 - 225 - 3*f - 2*f**3 + 7*f**2. Give b(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 1)*5 - sqrt(1900)) + -3 + -1*sqrt(1900).\nAnswer: 2 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12368176391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4 - 4 + 3 - 5*w + 1 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-11 - -14) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {k: 2, c: 1, j: 8, i: 1, z: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 8 - 2)\/(12\/(-12136734)*-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t**2 + 8*t + 2203. Let z(d) = 39*d**2 + 18*d + 4405. Determine -9*i(p) + 4*z(p).\nAnswer: 3*p**2 - 2207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -61 (b) -2340 (c) 4\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 6677 = -4*j + 6708, -4*p - 17 = -3*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s - 4. Let n be g(6). Solve -5*r + 15 + n = -i, -5*i - 31 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 1:24 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 141*t**2. Let f(r) = r + r - r - 2*r. Determine p(f(v)).\nAnswer: 141*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u - 11 - 2*u - 8 + 10*u.\nAnswer: -6*u - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 682 and 528.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**4 - 5*c**3 - 441*c + 433*c + 7*c**3 - c**3 - 12*c**2 to h*c**2 + p*c + m + i*c**4 + o*c**3 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2 - 2) + 2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:25 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 2*i. Let h be c(-3). Let u be (-2 - h)*-2 + 3. Let o be (-7)\/(-21)*3\/u. What is the second smallest value in -7, -2\/3, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 3*h - 0*x - x, 2*x + 168 = 2*h. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v**2 + v + 30. Let c be 0\/(-2*(-1)\/(-2)). Let k be l(c). Suppose -p + k = 4*p. Solve 10 + p = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 382\/(-35) - (0 - 1). Let y = 96\/7 - s. Let k = -9.024 - -0.024. Which is the second smallest value? (a) y (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 47*r**2 + 36*r + 253. Let h be f(-26). Is h less than 2696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*v + 30 = 0, -p = -0*p - 5*v - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20482244 is divided by 476331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6559 = -527*d - 410*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8 = 0, 3*x + 3 = -4*b - 1. Suppose 0 = -b*g - 2*g. Suppose g*v = 3*v - 15. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5382 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/6 - i**3 + 6*i. Suppose u(v) = 0. What is v?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*i = 75*i + 6401500. Round i to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 222 and 0.1.\nAnswer: 222.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 20263356.1 to the nearest 1000.\nAnswer: 20263000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/(-18 - -8) - (14 - -4). Let n(w) = -w**3 - 9*w**2 + 9*w + 70. Give n(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*x + 22, 2*x = -i + 1 + 12. Solve 0*u - u = 3*q, 0 = u - i*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = 20*z - 45842 - 167679. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0 + -1)*3\/3. Suppose -3*v + 4*c - 2 + 26 = i, 5*v - 40 = -4*c. Solve -4*r - v = -w, 2*r + 13 = 5*w - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25077529 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, -5, -163169 in ascending order.\nAnswer: -163169, -8, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -19*a - 23. Suppose 5*u - 215 = -0*u. What is the remainder when u is divided by t(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1787.646\nAnswer: 8938.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 239, 298, 339, 356, 343, 294, 203?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 5:43 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - 0) - (4 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 178022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 582 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 22*o + 42 = 19*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 10. Let a = 2.8 - n. Sort 5, 2, a in decreasing order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - c**2 + (-6 + 6 - 6*c)*(-2 + 2 - c) in the form n*c + v + f*c**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 183, 157, -81, -531, -1193?\n\"Answer: -106*u**2 + 292*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 3*q - 2. Let x be a(-2). Solve 5*y + k + 23 = x, y - 5*y + 2*k = 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c*d + 2*c*p - 2*c - 2*d*p**2 + 5*d + 2*p**2 with respect to d.\nAnswer: -5*c - 2*p**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 967 (base 11) to base 7.\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-8)\/(-1440)*-4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/w**21)**(-24) assuming w is positive.\nAnswer: w**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -246433050 rounded to the nearest one million?\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8350 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230205 (base 6) to base 10.\nAnswer: 66173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/7 - (679\/(-49) + (-15 - -29)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1955?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hacq when four letters picked without replacement from aqqqqqqqqaooocqoahq.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 13) to base 5\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*l - 12, 0*l + 4 = l + 3*w. Sort -5, l, 9 in decreasing order.\nAnswer: 9, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -395 - -267. Let f = g - -137. Let m(d) = -d**2 + 11*d - 6. Determine m(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95000 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -16. Suppose -35 - w = 5*u. Let a(l) = l**2 + 10*l - 8. Let r be a(u). Solve -r*s + 34 = 5*h, -6 = s - 3*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/5 + 2673\/5*d - 382\/5*d**2.\nAnswer: -(d - 7)*(382*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 920509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*f**3*l + 1016*f**3 - 166*f**2*s**2 - 4575*l*s**2 wrt l.\nAnswer: -22*f**3 - 4575*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.62 and -12.1164.\nAnswer: 31.744968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-18))\/(1\/3). Sort -1, -2, t.\nAnswer: t, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -618? (a) -2 (b) 470 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 720.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 297. Let r(n) = 10*n - 668. Let y(p) = -4*r(p) - 9*z(p). Let j = -3 - -2. Calculate y(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1608, 3225, 4850, 6489, 8148, 9833, 11550, 13305?\n\"Answer: u**3 - 2*u**2 + 1616*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2132 + 130120?\nAnswer: 132312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4374875576 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(-2 + sqrt(252) + 0))**2.\nAnswer: -3456*sqrt(7) + 36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (-16)\/3)*3. Let v(n) = 4*n + 4. Calculate the remainder when v(d) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -255, -2\/13, -0.1, -0.3 in descending order.\nAnswer: -0.1, -2\/13, -0.3, -4, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 7\/12 (c) 4\/3 (d) -0.1 (e) -1 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36402363119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**30*x**(1\/12))**(9\/11) assuming x is positive.\nAnswer: x**(1083\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -3650 - 2860. What are the prime factors of (1 - (-29)\/3)*(-285 + f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -19. Suppose -q*m - 14 = -9*m. Let l(u) = 2*u - 4. Determine l(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3217 + 15529\/5. Let c = 113 + t. Calculate the common denominator of -67\/4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 95505277 and -0.1.\nAnswer: 95505276.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44.22 - 0.42. Let k = 44 - a. What is the biggest value in 9, k, 0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2403 + -205510?\nAnswer: -212313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54411399\/8 + -493140629\/72. Let h = s + 47747. Find the common denominator of 29\/14 and h.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135668094 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: What comes next: 1, 21, 55, 103?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 20 = 5*r, 0 = 2*z + 27 - 31 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14211, 28616, 43175, 57882, 72731?\n\"Answer: -d**3 + 83*d**2 + 14163*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/5 + 36*x**2\/5 + 138*x\/5 + 104\/5 = 0. Calculate x.\nAnswer: -13, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 27*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 4)*(-1 + 2 + 2) + 5 - 6 + 3)*(-5 + 10 + 18)*(-115 + 230 + 24*c - 113) to the form b + g*c and give b.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(242) + sqrt(242)*1)*-4 + (sqrt(242) + -3 + 5 - sqrt(242)))**2)*3*-3.\nAnswer: -139410 + 3168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**8\/26880 - h**7\/2520 + h**6\/720 + h**4\/12 + 3*h**2. Let c(b) be the second derivative of m(b). Factor c(q).\nAnswer: q*(q - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zccwwwzwcwzcfwwcww. What is prob of sequence zz?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179*s**4 + 2*s**3 - 2*s + 3 + s**2 - 4*s**3 + 182*s**4 to the form m + l*s**3 + f*s + b*s**4 + n*s**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 10 = 6*o + 5*h, 4*o = -2*h + 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1721 - 6461 = 2*j, 0 = -3*j - g - 12289. What are the prime factors of (-16 - -14)\/(j\/(-4101) - 1)?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j**3\/3 - 298*j**2 - 3432*j - 6776\/3 = 0.\nAnswer: -22, -7\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:25 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j + 317. Let y be c(-22). Solve -y*h = -20*h + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -64 - 69 - 64 + 197 + 2*m. Let g(r) = 94*r**2 + 2*r. Determine f(g(j)).\nAnswer: 188*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2198, 2300, 2464, 2684, 2954?\n\"Answer: -p**3 + 37*p**2 - 2*p + 2164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -19*n + 27. What is the units digit of k(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50004, -199922, -449786, -799596?\n\"Answer: -49973*i**2 + i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -z - 3, 229*z - 225*z + 21 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 44425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279 is divided by 615?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 9:06 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (3 - (-5 - -5)) - 1) + -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -4, i + 21*o - 16*o - 18 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from fttjtefttffjjjjfr?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2267 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 - 2*q. Let l(x) = 4*x**2 + 3*x. Let v(z) = -z**2 - 6*z - 1. Let i be v(-5). Let s be 3*3*i\/(-18). Calculate s*l(k) - 3*b(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 3*t + 11. Suppose 0 = 27*s + 228 - 40 + 55. What is f(s)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)*c**(-3)\/c)**(-27)\/((c*c**(1\/2))**(-29)*(c\/(c**(-1)*c))**10) assuming c is positive.\nAnswer: c**(2089\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 12*l + 3. Let f be q(-12). Solve -j = f*j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - o - 5)*(-4*o + 3*o + 2*o) - 575 + 1166 - 591 - 14167*o**2 + 34508*o**2)*(5*o**2 - o**2 - 2*o**2) as h + s*o**4 + x*o**2 + m*o**3 + n*o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-137)\/(25208\/4876)*4.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*5 + (sqrt(22) + sqrt(550))\/sqrt(11) + 4.\nAnswer: 4 + 31*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 0*k**3 - 1784473*k**2 + 1784491*k**2.\nAnswer: 2*k**3 + 18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11, -2, 109?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.138 - 0.138. Which is the fourth smallest value? (a) -21 (b) t (c) 2\/15 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -133*s**2 + 20*s - 102. Let n be c(7). Let d be (-6)\/11 + (-8990)\/n. Suppose 2\/19*h**2 + 32\/19 + d*h = 0. What is h?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*d + 8*d - 15*d + (-5 + 4 + 4)*(0*d + 2*d - 4*d).\nAnswer: -44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 7*r**2 - 2*r - 9. Let x be k(-7). Let y = 3 + x. Suppose -72 = -5*p + y. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*d + 5, -2*d = -3*i + 15. Suppose -2*w = 2*r + 5 - 33, 3*w + i*r - 42 = 0. Let p = 12 - 12. Is w smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0*y**4 + 0*y - 1\/30*y**5 + 2 + 0*y**3 - 13*y**2. Let r(b) = -17*b. Give r(c(l)).\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -2*i. Let u(w) = -i + 3 - w. Let x(a) = -65*a**2 + 6. Let v(f) = -833*f**2 + 77. Let m(n) = -6*v(n) + 77*x(n). Calculate m(u(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/19 or -14\/2143?\nAnswer: -14\/2143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 809.054 + -810. Let g = v - -0.478. What is g rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(f**2 - f**4 - f**2) - 2*f**4 + 0*f**4 + 0*f**4 + 5*f**4 + 23*f**4 - 3*f**4 + 7*f**4 - 2*f**4 - 3*f**4.\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 718, 2993, 6820, 12211, 19178?\nAnswer: 27733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/60 + 13*w**5\/60 + w**4\/12 + 2*w**3\/3 + 6*w**2 + 3. Let k be r(-6). Solve 0 = -k*n + 27*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkrsrssrrsrsrss?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 850380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybyybybyyyyyy. What is prob of sequence ybyy?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6252784 divided by -6252784?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000201313012 (base 4) in base 12?\nAnswer: -57b9372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = t + t. Let z = -18 - t. Find the third derivative of -4*x**5 + 2*x**z - 14*x**2 - 3*x**5 + 13*x**5 wrt x.\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5632\/(-384))\/(4\/(-90)*6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 1352.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:48 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d + 38. Suppose -21 = -2*b + i, 3*b = -3*i + 2*i + 24. Let n be l(b). Solve -4*x - 3 = 3*j, 2*x + n*j + 6 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {s: 7, n: 2, f: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6*z + 679670 = -4*a, 0 = -a - 6. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**2 + 45*p + 2. Let f(h) = -2*h**2 - h + 2. Give 2*f(g) - r(g).\nAnswer: g**2 - 47*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.062 + 17.338. Let i = -39 - -59. Let y = i - b. Round y to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-11)\/(-2))\/(1*(-2)\/(-36))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - 5) + (87 - 57) - ((77 - -2) + 0)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 799761.5506 rounded to the nearest 10?\nAnswer: 799760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 - 291*l + 2862 = 0.\nAnswer: -106, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42\/457, -1\/7, -0.1, 0.2 in increasing order.\nAnswer: -1\/7, -0.1, -42\/457, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or 283522?\nAnswer: 283522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7802, 15602, 23402, 31202, 39002, 46802?\nAnswer: 54602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24054.82 years?\nAnswer: 2405.482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52\/755 or 1?\nAnswer: -52\/755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -42577 (base 11) in base 2?\nAnswer: -1111000111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8140 and 6?\nAnswer: 8146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plpplmpplglplllppp. Give prob of picking 1 l, 1 g, and 1 m.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*(-3)\/((-63)\/(-595)). Let p = -763\/3 - z. Sort p, 1, 0.3, -3\/7.\nAnswer: -3\/7, 0.3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1437498.1824 and 2?\nAnswer: 1437500.1824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 5. Let w be a(-4). Let p = -0.36 - -0.06. Put -2, w, p in ascending order.\nAnswer: w, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-210)\/21*4\/(-10). Suppose -2*w + 4*w - a*o - 672 = 0, 5*o - 301 = -w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 35489.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((-26)\/(-14) - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k - 42. Let u be d(-5). Let w(j) = j**3 - 10*j**2 + 10*j - 6. Calculate w(u).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.161 + 0.161. Let s = -53.1 - -53. Which is the closest to 0.4? (a) s (b) x (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 1, 5, 2, -1.\nAnswer: -1, 1, 2, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbnlara. What is prob of sequence rbbn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 4*v**2 - 3*v - 5. Calculate o(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7184 (base 9) to base 7.\nAnswer: 21223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -36542660\nAnswer: -730853200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*m + 31 = 2*d, -40 = -4*d - 5*m. Suppose -d*f + 0*f - 35 = 0. Let r(i) = -2*i**3 + 9*i**2 + 3*i + 13. Is r(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924398 is divided by 92367?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41.02, -0.4, -3, 0.9.\nAnswer: -41.02, -3, -0.4, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.7. Let g be (-5)\/(-3) + 4\/12. What is the closest to g in 5, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 6411512*a - 10276871531536.\nAnswer: -(a - 3205756)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -337, 0, -1, 17 in ascending order.\nAnswer: -337, -1, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 + 72. Let x = 0.028 - 0.328. Which is the fourth biggest value? (a) i (b) -1 (c) -0.1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 2:45 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6*d = 3*l - 324, 4*l + 3*d - 449 = 0. Suppose 0 = -6*f + 16*f - l. Solve -4*s = -5*s + 3*y + f, 3*s = 5*y + 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*b = 20, -42*f = -45*f - b + 4. Suppose 4*x - 4179 - 2085 = f. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + 34. Let x = 66 - t. Let w = -14 - x. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 127 + 118 + 25097*y**2 - 365.\nAnswer: 25097*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from vvvvqvvvvvvvqvqvqvv?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let h be c(-1). Let w be 0*((-1)\/(-2))\/h. Solve -l - 3*u + 9 = w, -4*l = 2*u - 6*u - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1. Let h(j) = 146*j**2 + 9*j - 5. Let u(c) = h(c) - 3*q(c). What are the prime factors of u(2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 9) to base 4.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 6. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18004545*c**3*r**3 + 2*c**2*r**3 - 4*c**2*r - 17469*r**3 + 4*r**2 wrt c.\nAnswer: 108027270*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13982 (base 14) to base 9.\nAnswer: -73507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) -5\/2 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*o + 19*o + 3*o to the form l*o + j and give l.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 5*w + w)*(5 - 2 - 2) + 3 + 4*w + 0 - 4.\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1953.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + (36 - 1) + (-108)\/27. What is the greatest common factor of t and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13717081 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 9*m - 10*m + 10*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f. Let v(m) be the third derivative of 0 - 19\/30*m**5 - 30*m**2 + m + 0*m**4 + 0*m**3. Give v(h(k)).\nAnswer: -1368*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.296?\nAnswer: 0.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = 0. Suppose -60 = -2*n + n. Let c be (-8)\/n + (-32)\/(-15). Solve -4*a + 35 = 5*i, c*i + j*i - 16 = -2*a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - 2*t - 130*t**3 - 87*t**3 + 29*t**3 + 2*t to n*t**3 + y + a*t**2 + s*t and give n.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.14 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -11. Suppose -4*c + 0 = -8. Suppose 4*l - c - 38 = 0. Calculate the lowest common multiple of s and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -77, -362, -833, -1490, -2333, -3362?\n\"Answer: -93*f**2 - 6*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -6, -3, -6, -15, -30?\n\"Answer: -3*z**2 + 18*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1ccb81 (base 15) to base 7\nAnswer: -14661463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*f - 115. Let d = 385 + -383. Calculate the lowest common multiple of f and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1920\/(-32) + 30 - (-13)\/1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0)*(-1)\/(16\/4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 275970\/75 - 2\/(-5). Suppose 6 - 26 = 5*m. Let x be (6\/m)\/((-6)\/k). What is x rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1509 - -1a649?\nAnswer: 21057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10291*i**4 - 3*i**3 + 2*i - 11721.\nAnswer: -123492*i**2 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.25 - 6.55. Which is the second smallest value? (a) -0.2 (b) 2\/47 (c) j (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {b: 1, y: 1, m: 4, g: 2, n: 2, x: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4698 is divided by 223?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2. Let z(s) = 8*s**2 + 38*s**2 + 5*s**2 + 41*s**2. Determine z(t(w)).\nAnswer: 92*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 2916396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2866\/110)\/((-5472)\/670). Let t = 2\/284731 + 1419893\/535579011. Let v = k + t. Find the common denominator of -43\/18 and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, n: 2, j: 4}. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8 = h. Suppose 5513 = -h*m - 37287. Round m to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 15. Suppose 2*c = 7 + k. Suppose 0 = 2*p + 3*f - 6*f - 22, 5*p + c*f = 9. Solve -p*r + 33 = 4*b, -12 = -b + 5*b - 4*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 19331*g + 77310. Give o(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12978632449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-14) + 9\/(-21). Let r = -13 + 15. What is the nearest to -0.1 in h, -0.5, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 16.2.\nAnswer: 6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.116 - 2.\nAnswer: -3.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585956285.\nAnswer: 5, 47, 1459, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.2. Let q = 12.3 - 12. Let d = -1\/8 + -9\/56. What is the smallest value in s, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m + 39. Let b be u(-6). Let x(h) = -h**3 - 3*h**2 - 16*h - 3. List the prime factors of x(b).\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {n: 3, b: 1, x: 1, t: 1, j: 4, d: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9635, 17004, 24373, 31742, 39111?\n\"Answer: 7369*h + 2266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-36) - 24\/(-27). Suppose -3*m - o = -20, -4*m - 2*o + 15 = -3*o. Solve -w = m*k - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164765 + -0.16\nAnswer: -164765.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 3*n**2 - 4*n - 3. Let c be 542\/(-14) + (15\/21 - 1). Let g = -41 - c. Determine s(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3090.171ml?\nAnswer: 3.090171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -293 + 287 + 49 + -1 + 1 + (0 - -7)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/168*64\/288.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*a + 29*a + 33*a + 14*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 2b294?\nAnswer: 2b29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1008.99998642 - 1009. Round j to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 596961.\nAnswer: -2984805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*r - 12. Suppose -3*m - f + r*f = 0, -f = -3*m. Let c be 1\/(((-15)\/(-12))\/5). Put 2, c, m in descending order.\nAnswer: c, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2*0\/6)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 481876, 480413, 478950, 477487, 476024?\nAnswer: 474561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 37*o + 2*o**2 - 83*o + 40*o. Let f(w) = w - 2*w + 2*w. Give 4*f(h) + q(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*12.627264.\nAnswer: 6.313632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -82, -124?\n\"Answer: -42*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -933*j**2 + 88*j + 287207.\nAnswer: -1866*j + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*n + 32*n - 2068 = -4*n + 57*n for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -4*p - 2, 2095*f + 5*p + 25 = 2090*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 - 57) - (-3337 - -3336)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minus 1036097644?\nAnswer: -1036097008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 127837133 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111667442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 5*l - 28. Put -1\/8, l, 3\/2, -1\/3 in ascending order.\nAnswer: -1\/3, -1\/8, 3\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v = -12 - 461 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 1\/3, -4, 5, 4, 14, 2.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 3*n + 8, 1 = x - 4*n + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -254496b + 3?\nAnswer: -2544968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 13*q**2 - 13*q - 14. Let z be j(14). Calculate the common denominator of z + (-12)\/136*-20 and -28\/3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*v = -304, -2*v + 3 = v. Let i = 228 - q. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((56*f + 73 - 73)*(4*f - 4*f + 2*f) + 0 - 2*f**2 + 0)*(89*f + 13*f + 4 - 6).\nAnswer: 11220*f**3 - 220*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -21*o**2 + 7*o - 5. Let j(m) = 62*m**2 - 20*m + 13. Calculate -6*j(n) - 17*y(n).\nAnswer: -15*n**2 + n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 3\/25 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - l**2 + 3 + 2 = 0. What is l?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 6023, -245 in increasing order.\nAnswer: -245, 18, 6023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184935969?\nAnswer: 3, 149, 137909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.77523 - 7.712. Round f to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**4\/6 + z. Let q(d) = -6*d - 16*d + 25*d. Determine u(q(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -24*n + 6. Let m(v) be the third derivative of -335*v**4\/24 + 85*v**3\/6 - 578*v**2. Determine 6*m(p) - 85*w(p).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 12*n - 3. Let c be g(11). Suppose -150 = -i + 5*p, -c*i = -3*i + 4*p - 750. Suppose -f + 1 = -i. What are the prime factors of f?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {d: 1, c: 1, v: 2, l: 2, e: 1, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 185899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179*u**4 + 1865*u**3 - 5441*u**2 - 8*u - 2?\nAnswer: 4296*u + 11190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -62.9796042 at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382 = 5*j - 4*x + 3, j - 4*x - 79 = 0. Calculate the common denominator of -7\/8 and (-28)\/(-120) + (-10)\/j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 25 = 8*l. What is the biggest value in 0, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x - 2. Let z(v) = -v - 2*v - 3*v - 3. Let g(o) = -3*t(o) + 4*z(o). What is the derivative of g(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*g + 29. Let o(u) = u + 5. Let i be o(g). Suppose 5*w = s + 2*s + 9, 5*w = 2*s + 6. Solve w = -3*f - i*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16602?\nAnswer: 2, 3, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*c + 175 = 181, -2*l = -55*c + 114 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -1\/9, -0.037 in ascending order.\nAnswer: -47, -1\/9, -0.037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 0 = -3*r + 17, 5*r - 105 = -20*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3.553825 microseconds?\nAnswer: 0.003553825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3764*f**2 - 1 - 7497*f**2 - 6*f - 3974*f**6 + 3731*f**2 wrt f?\nAnswer: -476880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5 - 118*n**4 + 152*n**3 + 1960*n**2 + 2400*n = 0?\nAnswer: -60, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a - 244. Let g = 361 + a. Let c be ((-13)\/4)\/((-1)\/4). Calculate the highest common factor of c and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - 61*k + 46. Give x(15).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214563.\nAnswer: 3, 37, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 914825729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 + 138 + 6*p + 124 - p + 137 - 544.\nAnswer: 5*p - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -v + 75, -11*v - o = -6*v - 375. Calculate the lowest common multiple of v and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/3194550 and 83\/4154.\nAnswer: 214034850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2739 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359325.8 nanometers to centimeters.\nAnswer: 0.03593258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*j - 8, -5*v = -0*j - j + 20. Let a = 8 - j. Suppose -h + 3*d = -59, 0 = -a*h + 3*d - 6 + 171. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2375, 0, -1, -248.\nAnswer: -2375, -248, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 + 1. Let z = -29\/6 - -5. Sort q, z, 4.\nAnswer: q, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**3\/3 + 3*v**2\/2 - v. Let c(u) = -u - 3*u + u - 4. Let t(n) = 5*c(n) + 6*q(n). Give t(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 29*w - 80. What is the least common multiple of r(-25) and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1734.9 + -1727. Let a = 36 - 28.2. Let w = a - t. Does w = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -26. Let g = 18 - t. Let b = -46 - g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i**3 + 23*i**3 - 5*i**3 + 21*i**3.\nAnswer: 56*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 30*q + 239. Let g be i(-6). Suppose -17*u + g - 25 = 0. Solve 4*d + 6 = u*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 9346*c + 121296. What is u(13)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 + (-1 - (-1 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b - 2*b. Suppose 5*t = -5, 0*j - 3*t = b*j - 33. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921.4658 rounded to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**16\/m*m*m)\/(m**(21\/2)*m))**(-2\/97) assuming m is positive.\nAnswer: m**(-15\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or -6?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -123*x - 8. Let a be t(-2). Let k = -140 + a. Is k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**2 - 27*j + 2. Let t(h) = 2*h**3 - 22*h**2 - 26*h + 39. Let d be t(12). Let v be x(d). Solve s = 4*s - v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17347049 divided by -2.\nAnswer: -17347049\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b - -6e928?\nAnswer: 6e954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5134*r + 5137*r = -3*q + 129, -507 = 3*r - 17*r - q + 6*q for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3113 by 11.\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**4 + 69769359*z**3 - 361232990*z wrt z.\nAnswer: 24*z**2 + 418616154*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-533)\/369)\/(((-286)\/(-132))\/(-1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 - 2 = 0. Suppose -36 = -y - l*y. Let a = 3565 + -3564.9. What is the closest to a in -3, y, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 23*h + 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66169 - -992111\/15. Let o = h + 1303\/45. What is the common denominator of -14\/5 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676622 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2775 and 444?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0 + 2 = -2*d, 3*d = -2*w - 14. Let l(o) = -12*o - 5. Is l(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 410 - 355.4. Let l = 2 + q. What is l rounded to 0 decimal places?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**2 - 14*o + 14. Let l(w) = -3*w**2 + 4 + 2 + 2 + 1 - 9*w. Suppose 28*g - 33*g = -20. Suppose g*p = 21*p - 136. Give p*l(t) - 5*m(t).\nAnswer: t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 - 52. Let p(x) = 120*x**2. What is f(p(u))?\nAnswer: -72000*u**4 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13107 + -12463. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82015115 divided by 5.\nAnswer: 16403023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 105*q**2 + 28*q. Let u(m) = -19*m**2 - 5*m. Calculate 5*k(d) + 28*u(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-15) - (-1282)\/24. Let y = a + -65\/4. What is the common denominator of 1\/20*-1 + 1 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2212 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 32*o - 8. Let b(i) = -8*i**2. Determine b(l(m)).\nAnswer: -8192*m**2 + 4096*m - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -6, 3391657\/5, 0.4 in descending order.\nAnswer: 3391657\/5, 0.4, 0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 3*r**2 - 1. Let x be b(-4). Let l = -12 + x. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 173, 2\/1121, 1, -1\/8?\nAnswer: 2\/1121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010212 - -22222?\nAnswer: 1110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 + 2 = 0. Let i = -515.632 - -515.332. What is the closest to 6\/11 in i, -1, j, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h + 2*i + 5 = 0, -2*i + 4 = 4*h. Let w = -2 - -4. Suppose 2*g - w = 6. Solve 4*y = -4*d + 36, -g*y = -4*d + h + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**3 - z + 2. Let p be f(1). Solve p + 7 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, a: 3}. What is prob of picking 2 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - 28. Does 5 divide j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3 - 86826*n**2 - 607739*n - 520914 = 0.\nAnswer: -86819, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 10*c**2 + 11*c - 30. Give n(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955644553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -3 - 1) + 395. What is the units digit of g\/20 + (-2)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 5\/192, 3, 0, 2\/7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 + -126. What is the third derivative of 178*b**5 + 34*b**2 - 61*b**2 - 95*b**2 - 221*b**o wrt b?\nAnswer: -2580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36769, 73529, 110287, 147043?\nAnswer: 183797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgfbk. Give prob of picking 1 k, 1 f, and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = 24. Suppose -2*x = -4*t + 48, 2*t - x = 3*t - w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*y + 2033308 = -3459318. List the prime factors of y.\nAnswer: 2, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89191*q + 89191*q - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 2*w**2 + 4. What is j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4485969821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {w: 1, q: 4, f: 1, i: 1, r: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1270 and -23\/570.\nAnswer: 72390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 432.70086 to one decimal place.\nAnswer: 432.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/10150?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359997*o*v**3 + 91*o*v**2 + 2*o*v - 95*o - v**2 - 3*v wrt v.\nAnswer: 2159982*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-1*6\/2. Let r = 2 + 1. Let c = -2.104 - -0.104. What is the closest to m in r, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.0478 and 5.\nAnswer: 6.0478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**2. Let m(s) = 71135359*s**2. Determine o(m(w)).\nAnswer: 25301196500294405*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 20465, 1.09?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 70793*u**2 + 47194*u.\nAnswer: u*(u + 23597)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*d*w*y + d*w - 4*d*y + 3*y wrt w.\nAnswer: 30*d*y + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.7021 to two dps.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 2*w**2 + 7. Let d(z) = -z**3 - z**2 - 1. Let m(q) = -3*d(q) - v(q). Suppose -a - 7 = 4*u + 9, -4 = a + u. Calculate m(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 6*g + 2*g + (2 + 0 - 4)*(3 - 2*g - 3) - 3 + 3 - g + (g - 5*g + 2*g)*(-4 + 3 - 18).\nAnswer: 39*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26697 + -26105. Is 74 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -3*k**4\/7 + 64*k**3\/7 - 512*k**2\/7 + 25*k. Determine g so that h(g) = 0.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1311)\/836)\/(3\/(-4)). Which is smaller: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"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 = -0.98542 + 1.08542. Let u = 0.1 + -0.1. Let q = u + -0.1. Which is the nearest to l? (a) 0.5 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12)*(-42)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70530615.\nAnswer: 3, 5, 522449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/5 + 383353*t**2\/5 - 55218384*t\/5 + 1988048448\/5 = 0. What is t?\nAnswer: -383497, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*y - 3*d + 63306*y wrt d.\nAnswer: y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 0.6. Let h = -0.17 + 0.2. Let f = h + -5.03. Which is the biggest value? (a) v (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 389443645?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*o - 207772 = 0, o - 81 = -81. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/5))**(-2\/21)\/(l*l**20*l**(-17\/3)))**(-1\/48) assuming l is positive.\nAnswer: l**(101\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7)\/((j**25\/j)\/j) assuming j is positive.\nAnswer: j**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1557 or 45148\/29?\nAnswer: 1557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyyxyxyeyyey. What is prob of sequence yy?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 4. Let h = n + 16. Solve 6*k + 10 = k, -4*u - k - h = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 42*f = 38*f - 26268008, 3*t - 5*f = -19700990. Round t to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**7*j*j**(1\/4)*(j*(j\/(j\/(j\/(j**(-10)*j)))*j)\/j)**(13\/7) assuming j is positive.\nAnswer: j**(439\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9491*((-20)\/16 - (-4)\/16). Let c = -100 - j. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 0.1 (c) -5 (d) 11 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 85d - -ece?\nAnswer: 172b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 - 2*x + 92*x**3 + 6*x**2 + 11*x**2 - 21*x**3 - 1 - 15*x**2 to z*x**3 + c*x + w*x**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + 0.06. Which is the third smallest value? (a) -3 (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 33*v + 138. Calculate b(-33).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.611243 + 17.61. What is l rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -6414.\nAnswer: -5\/6414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -7, 4*f - 38*v + 43*v - 31 = 0. Sort f, 0, 1, 9, -2.\nAnswer: -2, f, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 689474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnmnmqsmknsmssksmn. Give prob of sequence ks.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s**2 - 9*s**2 - 13*s**2 - 22*s**2 + 13*s**2.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r. Let v(k) be the third derivative of -11*k**4\/12 - 340*k**2. Give v(m(n)).\nAnswer: 132*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3857089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:25 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, s: 1, m: 3}. Give prob of sequence spp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 747 and 7055.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + 6081?\nAnswer: 6093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4067*q - 5 = -4072*q + 4*h, -q + 3*h + 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17360\/952*6\/(-10) + 11\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29590)\/(-107600)*(-15)\/22?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/2)\/(-4) + (-4)\/16. Sort i, 3, -4 in descending order.\nAnswer: 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13625997 is divided by 1500?\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -45*s + 275. Let v be n(6). Let x(i) be the first derivative of 1\/15*i**v - 3 - 1\/9*i**3 + 1\/3*i**2 + 1\/18*i**6 - 1\/4*i**4 + 0*i. Factor x(g).\nAnswer: g*(g - 1)**2*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5 - 281*q**4 - 5322*q**3 - 13633*q**2 + 14776*q + 4464 = 0. Calculate q.\nAnswer: -36, -31, -4, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1417\/4 + 9923\/28. Which is the second smallest value? (a) -5\/3 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78507 - -78508. Let z = -6619\/17 + 389. Let h = z - -167\/425. Which is greater: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8487 - 8479. Factor 20\/7 - v*c - 12\/7*c**2.\nAnswer: -4*(c + 5)*(3*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n - n. Suppose 2*f - 23 = 5*q, -q - 17 = n*f - 43. Solve f = -d - 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108980898*h**5 - 129263172*h.\nAnswer: 2179617960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose 0 = -3*r + q*r. Is r greater than or equal to 5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p = 10. Let h = 1144.2 - 1144. Which is the second smallest value? (a) 1 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 + 8*o - 1 + 1.\nAnswer: -12*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (180*r**3 - 180*r**3 - 2*r**4 + 4*r**5)*(-2 - 1 + 1).\nAnswer: -8*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtktatttttqt. What is prob of sequence gk?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8325*d + 24988. Calculate c(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13517.8606 - -13520. Round s to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 7*b + 22. Let l be j(-5). Solve -9 = 2*f + 5*p - l, 4*p - 8 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 563.662 times 0.4\nAnswer: 225.4648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 5. Let o = -3.5 - w. Which is the third smallest value? (a) o (b) -0.08 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20541?\nAnswer: 3, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n\/(n**7*n)))*n*n**21*n assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, 79, -5 in decreasing order.\nAnswer: 79, 1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(i - i - 3*i + 208 - 419 - 10*i + 204 + 1 - 1 + i + (0 + 0 + 2)*(-i + i - i) + 4*i - 5*i - i).\nAnswer: 16*i + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -68\/7985, -3, 0, 2\/7 in descending order.\nAnswer: 2\/7, 0, -68\/7985, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*m + 3*r, 4*r + 3 = -m + 1. Suppose -40 = m*d - 100. Suppose 2*u - 24 = -5*g, -5*u - 6 = g - d*u. Put g, -1, 1 in ascending order.\nAnswer: -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + m**2 - 20*m - 26. Let x(y) = y**3 + 7*y + 8. Let r(p) = -2*a(p) - 7*x(p). Does 10 divide r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20201044032 - 0?\nAnswer: -20201044032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asga when four letters picked without replacement from asbbbbbgbbbsba.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - 6\/(-3) - -2. Let s = 2 + a. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -988821 and 22.95484?\nAnswer: 988843.95484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4050084 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 + 153*o**2 - 72*o + 385. What is i(-77)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-360)*18\/1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4 + 2 + 2 + 1. Let t(a) = 2*a - 3. Let f = -2 - -3. Calculate f*t(g) + 3*h(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05843 - -0.03?\nAnswer: 0.08843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596055432 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 times -1.5628\nAnswer: -6.87632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101183.00500184 + -101183. Let t = -0.005 + p. Round t to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-120)\/(-1))\/(6 - 5). Calculate the common denominator of (27\/v)\/((-9)\/(-444)) and -47\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 + 11*k**2 + 31. Let v be n(6). Sort 620, v, -1 in increasing order.\nAnswer: v, -1, 620","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 105 = 3*a. Let g = a + -22. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgbfbhfbwggbbgb. Give prob of picking 3 g.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3882 and 18.\nAnswer: 11646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1569*y**2 + 791*y**2 + 779*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:49 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s - 9. What is the units digit of z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**4 - 7681*j**2 - j - 17871 wrt j?\nAnswer: -8*j**3 - 15362*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/(-5)*98*485\/9506?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17663, 70753, 159237, 283115, 442387, 637053?\nAnswer: 867113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:14 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x + 15. Let h be 150\/60 + (-1 - 1\/(-2)). Suppose h*v - w - 11 = 0, v + 2*w = -2*v + 34. What is r(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.12 - -0.12. Let r = 7.782 + 0.218. Let p = n + r. What is the second smallest value in -0.5, p, -0.04?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154601 days in milliseconds?\nAnswer: 13357526.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwxxxxwgggx. Give prob of sequence gx.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40466824?\nAnswer: 2, 1459, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -367, -1, 4, 29, -181.\nAnswer: -367, -181, -1, 3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 68 = 341. Suppose -4*c + z = -2*z - 73, 0 = 3*c + 5*z - f. Suppose 2*y = 6, 5*d - y = -0*y + c. Solve 2 = 2*t - 0, 0 = d*h - 4*t + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q + 226*q**3 - 7*q**2 - 78*q**3 - q - q + 18*q wrt q.\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176 + -635. Let u = -176 - d. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 3*c**2 + 4*c - 4. Calculate x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090 (base 10) in base 13?\nAnswer: -65b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 59444277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/6 + 2*u**3\/3 + 7*u**2 - 8*u. Is b(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1164153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/36 and ((3\/(-2))\/(-3))\/(30\/(-620)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 g when three letters picked without replacement from gmgdggdgyddddmg?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 420, 986, 1552, 2118, 2684?\n\"Answer: 566*x - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99\/28? (a) -1 (b) 2877 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-5)\/10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**37\/u*(u*u**(6\/5)\/u)\/u assuming u is positive.\nAnswer: u**(181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55039682?\nAnswer: 2, 27519841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2. Let k(v) = -2090*v. Give k(x(i)).\nAnswer: 2090*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -130, -294, -524, -820?\n\"Answer: -33*q**2 + q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*7\/((-147)\/36). Suppose 0 = -o - o + p. What is the least common multiple of o and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -254.66 less than 10475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335173994.\nAnswer: 2, 97, 1727701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580242411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632 = 58*v - v + 176 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {p: 6, j: 1, g: 5, a: 7}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.1. Let o = -271 - -151. Let w = -119.8 - o. Which is the closest to w? (a) -0.4 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3842654 times 3\nAnswer: 11527962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*g - 4*g + 5471, 5*g - 5 = 0. List the prime factors of j.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = 0, -4*s + 4*x + 13 = 9. Solve 0 = -2*b - s*b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -77645759, -155291518, -232937277, -310583036, -388228795?\n\"Answer: -77645759*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0*n**4 + 0*n**3 - 1\/280*n**7 + 1\/1344*n**8 + 1\/160*n**6 - 1\/240*n**5 + 0 + 4*n**2 + 0*n. Factor u(r).\nAnswer: r**2*(r - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**3 + 37 - 4*b**3 - 6*b**3 - 30.\nAnswer: b**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31984\/9 in -5\/7, 3\/23, 5?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*f - 5, 0*v + 2*v = -3*f + 1. Suppose 8 = 4*q, 0 = -n - 2*q + q + 6. Suppose h - v = 4*i, -n*h + 0*i = -2*i - 64. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 21831 + 34999 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6\/13)*l*l*l**(11\/4)*(l*l**(3\/5))**(-4) assuming l is positive.\nAnswer: l**(-549\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1332 - -1328. Sort 3\/11, w, -1\/5, -3, -5 in decreasing order.\nAnswer: 3\/11, -1\/5, -3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13932*n - 515471. Calculate g(37).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -16. Sort -2, m, 3.\nAnswer: m, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.36 + 35. Let k = l + 2.36. Put 0.1, 5, k in decreasing order.\nAnswer: 5, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127427444 to the power of 1\/2, to the nearest integer?\nAnswer: 11288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + 423\/45. Let b = -5 + s. What is the greatest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 685571 by 113.\nAnswer: 6067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 - 6*q + 10. Let j(x) = 2*x**2 - 2*x + 3. What is -16*j(s) + 5*u(s)?\nAnswer: -2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2175.00705 - -2175. What is l rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:03 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.1 + -0.1. Let y = -4.3 + 3. Let l = -2.7 + y. What is the smallest value in l, 2, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (240\/100)\/(-2 + (-74)\/(-40)). Let w be -9*(o\/(-6))\/(-8). Solve 0 = 2*p + w*y + 6, -2*p + y = -5*p + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.864668ml in litres?\nAnswer: 0.001864668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/4)\/(4\/(-208)). Suppose 2*j - 4*v = l, -2*v + 3*v = j - 113. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -5*h**2 + 3*h**3 + 4*h + 1\/4*h**4 - 10. Let n be q(-10). Solve -n*i + 1 = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)\/m*((m\/(m\/m**2))\/m)\/m*m**(-6)\/((m**(-6)\/m)\/m))**34 assuming m is positive.\nAnswer: m**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 430536 and -218.\nAnswer: -93856848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/5 - 849*z\/5 - 53298\/5.\nAnswer: -3*(z + 94)*(z + 189)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67830.\nAnswer: 2, 3, 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -815936, 2, 4.\nAnswer: -815936, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.5075 to zero decimal places.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4540222476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490 = 39*x + 51*x - 41*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 198576459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:48 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9194845 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(40) + -3*sqrt(40)*1))\/((1*sqrt(16))\/sqrt(2)*-1).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*f - 2*y + 2, -5*f - 3*y = -17. Suppose -f*g + 12 = -g. Is (-1)\/(2*g\/(-408)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.15, 12, 4, -28, -5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1400 divide 1797600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 times -2330914?\nAnswer: -137523926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -681, -4017, -10021, -18693, -30033, -44041, -60717?\n\"Answer: -1334*i**2 + 666*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and (3 - (-52)\/(-20))*65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2. Let a(g) = 5*g**2 + g**2 - g**2 + g**2. Determine a(t(b)).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*b = 9, 0*a = -5*a + 2*b + 32. Let u(k) = -k + 4. Let j be u(3). Suppose -j + a = -q. Sort q, -4, 5 in decreasing order.\nAnswer: 5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 604 and 8218519884.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((-1 - -16 - 9) + -4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00277128952 to six decimal places.\nAnswer: -0.002771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3201 + -3201.02. What is the nearest to d in 5, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -399*q**4 + 1889*q**3 + 8*q**2 - 181566 wrt q?\nAnswer: -9576*q + 11334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + -737.3817996594.\nAnswer: -790.3817996594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-146)\/(-30) - 12\/(-90). Suppose y = 2*z + 6, -9*y - x*z + 15 = -4*y. Let b(n) = -n**3 + 3*n**2. Let o be b(3). Solve -5*a + a - y = o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) - (490\/3)\/(-5). Calculate the highest common factor of r and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (11 + -20 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1065 and 460074697.\nAnswer: 460073632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 258583\nAnswer: 6\/258583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 1. Let k(i) = 6*i - 6. Calculate 5*a(u) - k(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 992159.3km?\nAnswer: 992159300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.06, 2547\/14?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170493.3kg in micrograms?\nAnswer: 170493300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235939 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 82 = 4*d, -3*f + 0*d = 4*d - 230. Let v(n) = -3 + f*n + 2*n**2 - 81*n + 6 - 3*n**2. Let a = 4 + -7. Give v(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 562, 840, 1118, 1396, 1674?\nAnswer: 1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/3 + 3\/((-3)\/(-4)). Let k be (q\/(-4))\/(27\/1548). Find the common denominator of (-24)\/(-8) - (k\/(-32) - 1) and 79\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 7:06 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 + (8 - 88\/(-55)). Let q(t) = t - 9. What is q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 11*l**2 - 4*l + 18. Let j(q) = q**2 - 7*q - 38. Let r be j(10). Let m be s(r). What is the highest common divisor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 5 - 7 - 6 + 6*u.\nAnswer: 6*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*m = -97, 2*v + m = -8 + 46. Solve -2*f + 5*c = -2 + v, 4*c - 24 = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/21)\/(2\/14). Let g = -4 - b. Calculate the least common multiple of g and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**2*u**4 + 2*t**2 + 7*t*u**3 - 25*t*u**2 + 3*u**6 wrt u.\nAnswer: 24*t**2*u + 42*t + 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1956 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 15351\nAnswer: 4\/15351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-205)\/((-400775)\/(-2185)))\/(1\/17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*a - 4*o + 23, -4*o = -4*a + 136. Let d be a\/6 - (-3)\/6. What is the remainder when 25 is divided by d*(45\/6)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0 + 0*q**4 + 0*q + 9\/20*q**5 - 11\/3*q**3 - 36*q**2. What is the derivative of k(u) wrt u?\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1250)*-6 + (((sqrt(1250)*-2 - sqrt(1250)) + sqrt(1250))*6 - sqrt(1250)))\/(((2*sqrt(240) + sqrt(240))\/sqrt(12))\/(sqrt(2) + -1*sqrt(2)*4)).\nAnswer: 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (48\/18)\/(6\/9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 28*x**3 + 6*x**2 + 41*x - 128. What is the units digit of l(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 293*p**5\/30 - 113*p**3\/6 - 726*p**2. Differentiate h(z) with respect to z.\nAnswer: 1172*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2638057 to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (21 - (3 - -12))) + -2 + -65?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*h**3*i*j**2 - h**3*i*j - h**3*j**3 - 316*h*i*j**4 - 17*i*j**3 + 56*i*j**2 + 2*j wrt j.\nAnswer: -6*h**3 - 7584*h*i*j - 102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 0 + 0*v**3 + 3\/2*v**2 - 8*v + 1\/24*v**4. Let p(z) be the first derivative of f(z). Let c(a) = 18*a**2. Give p(c(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0.4, 0.1, -4, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 - 1.7. Let h = 0.67 - 10.17. Let y = -10 - h. Which is the fourth biggest value? (a) y (b) -0.3 (c) 4\/7 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 4, -83\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 50642102?\nAnswer: 50642124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17*w**2 + 3*w. Let v(o) = 800*o**2 - 140*o. Let x(t) = 280*u(t) + 6*v(t). Let j(q) = 2*q. Calculate x(j(g)).\nAnswer: 160*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.619562 litres in millilitres?\nAnswer: 4619.562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.2 - 4.3. Which is the closest to 3? (a) k (b) 1\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Suppose 5*l - 4 - 10 = -n, i*n = 4*l + 12. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/12*7*(-3426)\/(-2855)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6013671*d**3 - 4567545*d**2 wrt d?\nAnswer: -36082026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 + 29*q**3\/2 + 105*q**2\/2 + 127*q\/2 + 25.\nAnswer: (q + 1)**2*(q + 2)*(q + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Let q = f - 3. Which is the closest to q? (a) -4 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007479*-0.1.\nAnswer: -0.0007479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(6048) + sqrt(6048)*-4 + sqrt(6048)))\/(1*sqrt(150)*3).\nAnswer: -24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2276, -4560, -6846, -9134, -11424, -13716, -16010?\nAnswer: -18306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 51, 77, 103, 129, 155?\n\"Answer: 26*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 34333.\nAnswer: 1\/34333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011014549883 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g + 83 - 23. Let q be -1 - (6 - 0\/2). Which is smaller: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.1, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -1243?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*t - 65 - 17, -78 = -4*v - 5*t. What is the lowest common multiple of 6 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5))**(-2\/35)\/(a**0)**(-27) assuming a is positive.\nAnswer: a**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -0.009055.\nAnswer: 0.390945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109778 + -78190. Suppose d = -4*o - 3*r, 3*r + 9661 = 5*o + 49173. Round o to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 90, 153, 234, 339?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 225 - 222. Suppose 2231 = 4*n - 3*p, -a*n - 10*p = -13*p - 1674. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 13*v**2 - 9*v + 10. Determine p(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c - 12*c - 20*c + 11279 + 2069.\nAnswer: -60*c + 13348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 236*m - 237*m + 17 = 0, 3*t = 2*m + 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvnunupfpnnfpkf. What is prob of sequence pfp?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1706515.361 to the nearest 1000.\nAnswer: 1707000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9744688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -246*c - 3. Let j(r) = 1226*r + 14. Determine 2*j(w) + 11*z(w).\nAnswer: -254*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = -8. Suppose 4*d - d = -4*g + 21, -2*d + 14 = 3*g. Let u = d + k. What is the highest common divisor of u and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16306*n - 17*n**2 + 490 - 490.\nAnswer: -17*n**2 - 16306*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3))**(-4\/15)\/((o\/o**8)\/o)**(-49) assuming o is positive.\nAnswer: o**(-1956\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1534*v + 1539*v = -2*f - 7, 11*f = -v + 41 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 + -65. Suppose -33 = 2*r - s. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7018 - -18878. Are -0.1 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13875 divided by 2833?\nAnswer: -13875\/2833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.304 and 0.1?\nAnswer: 6.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*z - 5*z - 330. What is the remainder when 71 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let a = -15 + 10. Let f be m(a). Suppose 5*o + 12 = 2*o, -j - f*o = 4. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 3*m\/4 - 189\/2.\nAnswer: (m - 18)*(m + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 c when three letters picked without replacement from {k: 2, u: 1, h: 1, c: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -1\/4, -0.1, 1\/5837128 in increasing order.\nAnswer: -1\/4, -0.1, 1\/5837128, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -76, 5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -4561*h**7\/7 - h**3\/3 + 449*h**2\/2 - 4*h + 3175. What is the third derivative of j(b) wrt b?\nAnswer: -547320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6*(-183)\/27)\/((-2)\/(-6)). Are -124 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*t - 116*t - 2996. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 7, 500*b + 5*v = 501*b - 13271. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541, -1034, -1527, -2020, -2513?\nAnswer: -3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280.4 - 280.3. What is the fourth biggest value in i, 2\/23, -4, 2\/47?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177*t**5 - t**4 - 15*t**2 + 170078*t.\nAnswer: -3540*t**3 - 12*t**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.65 to zero dps.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1663, 6, 14, -61, -4, 5 in decreasing order.\nAnswer: 14, 6, 5, 4, -4, -61, -1663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 1395926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(54\/(-10))*(-366)\/915.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**4\/24 - 2*r**2. Let o(u) = -582*u - 576*u + 1739*u - 584*u. Give m(o(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*q - 40*q + 16*q = 0. Solve 15*g - 157 + 67 = q for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**8\/(((l**7*l)\/l)\/l)*l**(-1)\/((l*l\/l**3)\/l) assuming l is positive.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5080039782?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 9*q = 12. Let y be (-1)\/6 + 5*5\/q. Let -1\/5 + 16\/5*b**5 + 1\/5*b + 17\/5*b**2 - 16\/5*b**y - 17\/5*b**3 = 0. Calculate b.\nAnswer: -1, -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 11:34 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3 - 5 - 6*c**2 - c**3 + 4 - 1. Let y be w(-6). Let v(z) be the second derivative of 3*z**4\/4 + z**3\/6 - z**2\/2 + 7*z. Determine v(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1268903904.799999568 + 1268904011.8. Let t = 107 - z. What is t rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 3*p - p. Let t = 14 + -20. Calculate b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1600497, -1600781, -1601265, -1601955, -1602857?\nAnswer: -1603977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 24 = -3*a - 2*x, -5*a + x - 17 = 0. Sort 4, -1, a, 2.\nAnswer: a, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -191*j + 258. Let h be y(-1). Sort -2, h, -3 in descending order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12*-3*5\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/((-20)\/(-50))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -101 (b) 0.4 (c) -1.2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5095, 9936, 14783, 19636?\nAnswer: 24495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155 - -158. What is the smallest value in 3\/4, j, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, b: 1, w: 2, l: 1, y: 4, q: 4}. What is prob of sequence qqq?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 3*m**2 + m - 16. Determine u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116 + -156130?\nAnswer: -156011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7215238 is divided by 1442945?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3268 - -2.3268. Which is the third smallest value? (a) -4\/13 (b) -37 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 10*r - 11*r - 14*r.\nAnswer: -41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65246613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31)\/(-11) - 12\/(-66). Suppose -y*n + 10 = 4. Suppose 0*r + 3*r - 4*d - 20 = 0, d + 18 = 4*r. Calculate the greatest common factor of r and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5102510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + -1)*-5 + sqrt(275))**2 + (-2*(sqrt(275) - (sqrt(275) + 0) - sqrt(275)))**2 + 2.\nAnswer: -200*sqrt(11) + 5527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 10:09 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*k - 8, 0*c + 3*k = -2*c + 1. Let i be -1*(c - 2 - -2). Let r(h) = h. Let w be r(i). Which is greater: -5\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4423 to 2 dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 8. Suppose p = -0 + 7. Let m be n(p). Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 181*b**2*v + 2*b**2 + 9*b*v**3 - b*v + 191932*v**3 wrt b?\nAnswer: 362*b*v + 4*b + 9*v**3 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.4 times -0.079?\nAnswer: 2.1646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -1.1. Let s(q) = -q**3 + 8*q**2 + 2. Let k be s(8). Suppose 0 = -k*b + 3 + 1. Is w smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 3)*(-2 + 1 + 2) - 4 + 2 + 4)*(-103685 - 96*j + 103685)*(-1 + 1 + 1).\nAnswer: -96*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -901*j**3 + 37*j**2 + 1722*j**3 - 866*j**3 wrt j.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*8\/(-6))\/(168\/37422*-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + 43*f + 12*f - 93*f to z + p*f**2 + q*f and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -346 - -345.88. Which is the closest to j? (a) 5 (b) -2\/13 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/6)\/(12\/36). Solve -3*c + q*c = -15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - -311122333230?\nAnswer: 311122333200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 80641700 to the power of 1\/2, to the nearest integer?\nAnswer: 8980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*v + 52, -5*d + v + 7 + 58 = 0. Calculate the highest common factor of d and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.6 + -21. Put -0.1, y, -2\/7 in ascending order.\nAnswer: y, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.605 + -0.005. Let n = j - -3.4. Let s = 14 - n. Which is the third smallest value? (a) -3\/5 (b) 2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -49, -72, -109, -166, -249, -364, -517?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18141 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 u when four letters picked without replacement from {j: 3, u: 3, i: 5, t: 2}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 49 = 5*l + 14, -5*l = 2*w + 21. Is w\/3*23208\/(-32) + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*w + 0 + 64\/3*w**3 + 16\/3*w**2 = 0. What is w?\nAnswer: -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 1343, 3052, 5445, 8522?\nAnswer: 12283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/5763?\nAnswer: 8\/5763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12400004 (base 5) in base 4?\nAnswer: -131300113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + f + 2 = -5, -3*w + 5*f + 29 = 0. Let d be w*(-2 - 26\/(-6)). Suppose -d*i + 1842 = -545. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-54))\/((-2)\/213). Let c = h - -1157\/24. Find the common denominator of c and -49\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -55 (c) 1\/8 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 79.51, -5\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -24, -26, -28, -30, -32?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 8 - (-1 + -1 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 - 67*q**2 - 229*q + 91. Give h(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2579 is divided by 848.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 5*j - 2. Let a be d(5). Let k be (a + -2)*-1 - 2. What is the common denominator of -67\/8 and 1\/k - 12\/33?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -170, -339, -508, -677, -846?\n\"Answer: -169*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -557 + 602. Suppose -2*q - p + 39 + 6 = 0, 5*p = -5. Calculate the remainder when t is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, k: 4, l: 5, s: 1, w: 4}. What is prob of picking 2 l and 2 m?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256185, -512367, -768545, -1024719?\nAnswer: -1280889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -4, -17 in increasing order.\nAnswer: -17, -4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 161, 212, 261, 308, 353, 396?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*o - 4*y + 3*y, 0*y - 4*y + 47 = 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {s: 2, h: 1, u: 3, r: 4, c: 6, y: 4}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tct when three letters picked without replacement from {t: 2, c: 1, q: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 2 - 3)*(4*x**3 - 1348157*x**4 + 1348156*x**4 - 2*x**2 + 4*x**2 - 1 + 21*x) to t + l*x**2 + h*x**3 + u*x**4 + j*x and give j.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 3*b + b)*(-2*b + b + 0*b) + 0*b + 0*b - 2*b**2 + (2*b + 8*b - 5*b)*(b + 4 - 4) to the form c + p*b + t*b**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12652 times 1\nAnswer: -12652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143430 (base 6) to base 11.\nAnswer: -a389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 426*h**2 + 4*h - 8. Let c(q) = 157195*q**2 + 1477*q - 2954. Give 4*c(x) - 1477*z(x).\nAnswer: -422*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/24 - (-8)\/(-3). What is the common denominator of 41\/4 and (q + 5)*(-3)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 263 = 367. What is the smallest common multiple of g and 15?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**4 + 128*w**3 + 316*w**2 - 1448*w - 1632 = 0?\nAnswer: -4, -1, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - -2)\/((-8)\/(-12)))\/(-1). Calculate the common denominator of 1\/g*219\/(-72) and 19\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:28 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-63)\/(-98))*6\/(-20). Which is the nearest to -1? (a) 5\/2 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -193*c**3 + 2*c**2 + 17*c - 7. Let k(v) = -968*v**3 + 10*v**2 + 86*v - 34. Let i(t) = -2*k(t) + 11*l(t). Find the second derivative of i(s) wrt s.\nAnswer: -1122*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(8 - 1 + 2)*(0*w + w**3 + 0*w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*c = -20, 370*m - 367*m + 18*c - 90 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5053158, -5053159, -5053160?\n\"Answer: -g - 5053157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2024022 to the nearest integer?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 608657 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + 17)*(-10)\/(-6). Suppose -3*s - o = -8*s. Solve 2*x + 0 = s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77, -95, -119, -143, -161?\n\"Answer: x**3 - 9*x**2 + 2*x - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*d**5 - 9*d**4 + 84*d**3 + 36*d**2 - 96*d = 0. What is d?\nAnswer: -2, -8\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 74?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 18*w + 18. Let b be z(-17). Suppose -5*p + 79 + 1 = 0. Let g = p - b. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.74562 rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 4*i - 22, 8*i = 268*h - 265*h - 30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 - 24670*v - 24147872 = 0.\nAnswer: -11263, -1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -9*g - 13. Solve -2*u = -y - 4, 0 = -2*y - 0*u - g*u - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + h + 12, 3*f = -0*f - h + 12. Let q be (-10)\/(-24)*3 - (-39)\/(-36). Factor 1\/6*t**f + 0 + 0*t - q*t**2.\nAnswer: t**2*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 1.7. Let w = 5 + -3. Let k = n - w. Which is the closest to 1? (a) -0.4 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-1)\/(-4))\/(15\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1377*a + 1372*a + 77133 = 4*p, -3*p + 4*a + 57873 = 0. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 14. Suppose -h - 1 = -2*g. Suppose 0 = -4*s - z + 3, -g*s + 0 + 35 = -5*z. Solve -s*q + 15 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 11) to base 10\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5 - 3*z**3 - 7*z + 2*z**3 - 2*z**2 + 7*z**2 - z**2. Suppose 5*x - 7*x = 16. Let n(i) = -i - 4. Let g be n(x). Calculate m(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 10:31 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107263 + 17?\nAnswer: -107244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -117*s**3 - 8*s - 9. Let x be n(-1). Let m = 124 - x. Solve -4*z + 14 = -2*r, 4*r = -5*z + z + m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 195.3665 and 26.\nAnswer: 221.3665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1074)\/(3 - 0)*-2. Let t = 24 + q. Round t to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 26*w**2 - 18*w + 68. Calculate o(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1893, 3793, 5683, 7557, 9409?\n\"Answer: -y**3 + y**2 + 1904*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9546*d - 2104*d - 435988 + 1440658 for d.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180 + -25. Let g = 295 - z. Let j(h) = 3*h**3 - 2 + 138*h - g*h + 1 + 2*h**2 - 2*h**3. Determine j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1031*o**2 - 1029*o**2 - 7 + 16 - 95*o)*(-3*o**2 + 4*o**2 - 2*o**2) as a*o + m*o**2 + b + v*o**4 + p*o**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-60 - -43 - (-2 - 37))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 2)\/(2\/5). Let k be t\/(-4) + (-9)\/36. Do 1\/4 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srpsssmpzpnsnssmss. What is prob of sequence mpn?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 723660077 to the power of 1\/3, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -58086413 and -856?\nAnswer: 58085557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.7 (b) -40.14 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 182549357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-15))\/(3048\/5715)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 - 3 = 0. Let d(n) = n**2 - 6*n + 3. Calculate the remainder when d(6) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by -27.\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 58266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 64*h**2 - 3623*h - 4. Let p(n) = 5*n**3 + 127*n**2 + 7248*n + 9. Let a(c) = 4*p(c) + 9*x(c). What is the second derivative of a(m) wrt m?\nAnswer: 12*m - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 28 = 8*a. Let y(i) be the first derivative of -4 + a*i + 3*i**2 + 0*i**4 + 2\/5*i**5 + 0*i**3. What is the second derivative of y(m) wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 - 9. Let f be ((-18)\/(-12))\/((-6)\/8). Let t be 9*(2 + (-3 - f)). Calculate the greatest common factor of i and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 999790 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146421 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/(4\/(-18)). Suppose 15 = 4*p - 5*t, -2*p + 2*t = 6*t - 40. Suppose 2*a = b*a + 2, -a + p = 3*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2177 plus -3.8?\nAnswer: -2180.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/355112 and 32\/488279?\nAnswer: 3906232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -86, -88, -92, -98, -106, -116?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5587529469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 - -496\/7. Suppose -5*f = -19 + 144. Find the common denominator of l and f\/5 + 7 - 161\/51.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1163801364 to the nearest integer?\nAnswer: 34115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*b + 41*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 11:07 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 380029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 437 - 7431\/17. Let v = 0.21 - -171.79. Let k = -174 + v. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 4) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 3, 5, -293 in decreasing order.\nAnswer: 5, 4, 3, -4, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**3 + 5*r**2 - 10*r**2 + 29*r**2 + 43*r**2 - 6.\nAnswer: 26*r**3 + 67*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 29*j + 215. Let m be k(6). Put -13, -7, 0, m in decreasing order.\nAnswer: m, 0, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15254867989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1289\/658 - 10\/329. Let h be (-3)\/12 + 7239\/12. Find the common denominator of l and (-2)\/6*h\/(-42).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*l**3*q + 6652179*l**3 + 68354*l**2*q**4 + 2 with respect to q.\nAnswer: 27*l**3 + 273416*l**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107353, 214708, 322063, 429418, 536773?\nAnswer: 644128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 72*l - 31978. Give w(116).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -117103.9391 to the nearest 1000.\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by 15?\nAnswer: -67\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 8 = -4. Let o be w*((-3)\/4 + (-1)\/4). Let n(v) = -v**3 + 3*v**2 + 6*v + 4. Let s be n(o). Calculate the greatest common divisor of 108 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -298*v - 10194. What is u(-36)?\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -12*k + 108 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205255415 divided by -1.\nAnswer: 205255415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**7\/2520 - d**6\/90 + d**5\/15 - 67*d**4\/12 + d**2\/2 + 37*d. Let y(t) be the third derivative of z(t). Calculate y(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (354\/(-1))\/((-2)\/1). Suppose 0 = 2*p + p - h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/3 + 221*x**4\/3 - 41982*x**3 + 12224284*x**2\/3 - 230734600*x\/3 = 0. Calculate x.\nAnswer: -514, 0, 25, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 10*i**2 + 2*i - 12. Let d be y(10). Which is greater: 11 or d?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11488 to three decimal places.\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 + 8*x**2 + (1213*x - 1912*x - 194*x - 2390*x)*(x + 2*x - 2*x) - x**2 + 3*x**2 - 4*x**2 as r*x**2 + i + g*x and give r.\nAnswer: -3277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37740 and 76645.\nAnswer: 578516460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 620?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 951.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -5, -0.7, 4, -14, 6?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35815 + 51512. List the prime factors of w.\nAnswer: 11, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 724\/543*(-9)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -17. Let c = 49.54881976 - -0.45120724. Let s = o + c. Round s to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + 3*u**2 - 3*u. Suppose -d = -321 + 324. Let y(s) = -2*s**3 + 2*s**2 - 2*s. What is d*x(n) + 4*y(n)?\nAnswer: -2*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264870 and 7938.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 33922*l - 237406. Calculate m(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.381 - 0.019. What is the second biggest value in -3, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 7404. Let i(y) = -7*y**2. Determine i(c(u)).\nAnswer: -7*u**2 + 103656*u - 383734512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**20*r)\/(r*r**(-4)))\/(r**7\/r**(-2\/5)) assuming r is positive.\nAnswer: r**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:45 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 - 1.05. Let k = -20.15 + x. Let i = -17 - k. What is the closest to 1\/4 in i, 2\/7, 1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*o**3 + 157*o**3 - 65*o**3.\nAnswer: 294*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 4*t**3\/3 - 22*t**2 - 48*t + 2. Determine a so that q(a) = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, o: 2, r: 3, t: 7, k: 5}. What is prob of picking 2 t?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -240*u + 1447. Let k be l(6). Suppose 0 = 2*j + 3*v - 26, 2*j = 3*v + 2. What is the highest common divisor of j and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 8. Let p be r(0). Let d(g) = g**3 + 8*g**2 + 1. Let a be d(p). What is the highest common divisor of 8 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3 + 10 + 19*q + 11 - 22 wrt q.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/12*-3*-4. Let x be (-2)\/i*80\/5. Solve -2*d - x = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 + 3*u + 2. Let w(m) = 11*m**2 + 6*m + 4. Suppose 3*r - 10 = 2. Let s(v) = r*w(v) - 7*d(v). What is the units digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/2303 and 88\/8883?\nAnswer: 62181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j - 3*t + 17, -10 = 2*t. Solve -2*s + j = 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5871872, 5871870, 5871868?\n\"Answer: -2*t + 5871874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95275535*g**2 + 52381720 wrt g?\nAnswer: -190551070*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17486?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {j: 3, m: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(2*sqrt(228) + sqrt(228)) + sqrt(228) - -1*sqrt(228)*-1)*-4)\/(-2*-2*sqrt(972) + sqrt(972) + (sqrt(972) + -2*sqrt(972))*-6))**2.\nAnswer: 1216\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 30*i**2 + 5*i + 422. Let c(z) = 13*z**2 + 2*z + 217. Calculate 7*c(r) - 3*w(r).\nAnswer: r**2 - r + 253","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -t - 124, -t = -2*j - 2*j - 116. Let i = 11 - 3. Let m = i - j. Calculate the highest common factor of m and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t - 4. Let v = 2332 + -2334. Suppose 3 = n - 4. Put 1, v, t, n in decreasing order.\nAnswer: n, t, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((10 - 5)\/(-25))\/((-1)\/5). Which is the second biggest value? (a) 3 (b) 3\/5 (c) l (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*d*f**3 - 2*d*f**2 + 3727*d*f - 3543456*f**3 - 1441*f**2 wrt f?\nAnswer: -66*d - 21260736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 25*b**2 - 2060*b + 797. Determine g(82).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) 5 (b) -1 (c) 0.2 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -0*k + 6*k - 144. Solve -3*g - k = 0, -5*h + h - 4*g = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (408*g + 2628 - 2628)*((-4*g + g + g)*(0 - 1 - 1) + 2 - 2 - 2*g).\nAnswer: 816*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -153.\nAnswer: -11\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**3 + 2*k**2 + 0*k**2 - 2*k**2.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2058 and -0.7309?\nAnswer: -1504.1922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 241\/(-1)) + (-6 - -5). Suppose 0 = -6*m + 13*m - l. What is the smallest common multiple of 7 - 8 - 9\/(-1) and m?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/15 - (-32)\/10. Suppose -5*l + 23 = -2*m, r*l - 12 = 3*m - 0*l. Let p = -17 - -14. What is the third smallest value in m, 1\/4, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 2*m + m + (-2*m + 16*m + 3*m)*(-3 + 5 - 4))*(-m + 5*m - 2*m)*(0*m - 5*m + 0*m) as l + r*m**3 + y*m + w*m**2 and give r.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/((t\/t**(-3))\/t)))\/((t**(-1\/5)*t)\/t))\/(t**(1\/4))**(3\/16))**(4\/5) assuming t is positive.\nAnswer: t**(1009\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 q when three letters picked without replacement from omqowooamqoaoaago.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -1.06 (c) -4 (d) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1765 to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21\/2*a**4 + 3*a**2 - 15*a**3 + 33\/2*a + 15\/2 - 3\/2*a**5 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z - 7*z - 84 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10169598 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 16 + -24 + ((-342)\/161)\/((-9)\/42)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 32440?\nAnswer: -32433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.31 + 32.19. Let w = 32 - l. Let n = -4 + 3. Which is the closest to n? (a) -5 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1244, 2388, 3436, 4382, 5220, 5944, 6548?\n\"Answer: -j**3 - 42*j**2 + 1277*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 17*a**3 + 21*a**2 - 565*a + 1056. Determine j(2).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1140)\/(-18) - ((-444)\/(-270))\/(-37)*-15?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 19. Suppose -5*v = -t - 11. Solve -11\/4*o - 7\/4*o**v - 4*o**2 - 1\/2 = 0 for o.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521992 is divided by 402.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1661910276 - 3.\nAnswer: -1661910279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + x + 2427 = -4*x, 3*a = -4*x - 3651. Let g be 6\/(-42) + a\/(-21). Let f = g + -31. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 2*k - 2. Let y(o) be the third derivative of -o**5\/20 - 3*o**4\/8 + 3*o**3\/2 + 5*o**2. What is 9*f(l) + 2*y(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -11 (c) 96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1942*n*r**2*z + 2*n*r**2 + 2*n*r + r**2*z - 29*r**2 with respect to z.\nAnswer: 1942*n*r**2 + r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.1 - 6. Let s = -34 - -35. Which is the nearest to -2? (a) l (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-13\/4)*m**1\/m*m**(-2\/3))**(-14) assuming m is positive.\nAnswer: m**(-217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*i - 1 + 726*i - 371*i + 1 + 65*i + 0.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Let b = 19 - -3. Calculate the smallest common multiple of b and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from jfifjfiffqifffffiff?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + f = 4, -2*w = 3*f - 0*f. Suppose -w*y + i - 1 = -2*y, 5*y = -i + 13. Calculate the remainder when 10 is divided by 6 - 1\/(y\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -145223 > 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:19 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - z**2 - 2*z**2)*(2*z - z - 2*z) + 4*z**3 - z**3 - 2*z**3 - 2*z**3 + 559 - z**2 - 559.\nAnswer: -3*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 105, 289, 555, 903, 1333?\n\"Answer: 41*j**2 - 21*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.7, -0.2, -2\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-3\/5)\/m))**10\/(m**(-4)\/m*m*m**(1\/6)) assuming m is positive.\nAnswer: m**(239\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + l + 3*l - l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93814454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 462491.5 * -0.09\nAnswer: -41624.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 9. Let t(s) = 2*s**2 - 6*s**3 + s - s**3 + 5*s**c + 2. Determine t(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2 + -4 + 5. Let g be (-10)\/8*(-5 + 1). Suppose -v - 3 = 2*b - 0*b, z*v + g*b - 5 = 0. What is the remainder when v is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/1469 and 36\/91?\nAnswer: 10283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 0.8. Let g = -72 - -218\/3. Which is the closest to g? (a) -1 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.25 - -11.25. Let t = x - 10.6. Which is the closest to 3? (a) t (b) 0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509863 is divided by 217.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5 - 48*z**4 + 108*z**3 + 160*z**2.\nAnswer: 4*z**2*(z - 8)*(z - 5)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210158 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ordodovvdooddvvod. Give prob of sequence do.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26288 greater than 26284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -571 - 1b3?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxcn when four letters picked without replacement from {k: 3, x: 4, m: 2, n: 2, c: 7}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6310 + 11339. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 9 + 54. Let n be 3\/d*(-3)\/(-2). Suppose -2*y = 8*y. What is the nearest to y in -2, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905785 is divided by 452892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 9. Let i(x) = 2*x**2 - 12. Let u(z) = 4*g(z) - 3*i(z). Let q(f) = 441*f**2. What is u(q(s))?\nAnswer: -388962*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Let k(r) = 9 + z*r + 9 + r - 7. Let s be k(-9). Are 0 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/((-1953)\/(-18)) - (-14)\/((-1666)\/10863)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -485 + 487. What is the closest to -1 in 0.5, t, -46\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 20*a**2 - 143*a + 19. Let b be g(7). Let i = 1 + 0. What is the units digit of 52 - ((-12)\/(b*2))\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 45 = 9. Let c(q) = -5*q - 3*q**2 + 6 + 0*q**2 + 4*q**2. Let v be c(4). Solve 7*l - h = 3*l - 4*m, v*l = m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {n: 6, e: 7, j: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 3, -2\/3, -2 in decreasing order.\nAnswer: 3, 0, -2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54216.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2. Let b(c) = -c**2 + 8*c**2 + 0*c**2. Determine b(z(m)).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {s: 3, y: 4, e: 8, b: 4}.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4847982 millennia?\nAnswer: 5817.5784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177051194 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 274658 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 3*b + 16 = -4*u, 2*u + 2*b = 8. Solve 0 = 11*h - 12*h + u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-8) - 0)\/((-9)\/(-18)). Let a(j) be the second derivative of -7\/12*j**4 + 0 + 0*j**2 + 0*j**3 - k*j. Let s(x) = x. Calculate s(a(y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13049*v - 13208*v = 477 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 313\/((-1)\/1 + 0). Let g = -217 - w. Let m be g\/40 + 2\/(-5). Solve 5*u + m*l = 13, -6*u + 4*l = -3*u - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105070 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*k - 267 + 271 + 5*k in the form m + f*k and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 2\/5 (c) 0.3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 12*n**2 + 13*n - 15. Determine r(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42803573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -17*d**3 - 2*d**2 + 2*d + 2. Let g(w) = 52*w**3 + 7*w**2 - 7*w - 7. What is -2*g(q) - 7*p(q)?\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (18 - 14 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 4*z - 1 - z**2 + 0 + 5. Let u be w(-5). Let y be 1 - 3*(-8)\/u. What is the nearest to y in 0, -2\/3, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*y - 6009, 3*g + 4*y - 1388 = 4621. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538 = 110*l + 2*f, l + l - 9*l + 60 = -l - f - 4*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*6 + (sqrt(24) - (sqrt(24) + sqrt(3456)*2 + sqrt(3456) + sqrt(24)))\/sqrt(8) - (-4 + sqrt(108) + sqrt(108) + 1 + (-2*sqrt(108))**2 + -4).\nAnswer: -425 - 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086478 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51c + -1?\nAnswer: 51b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/3*(-8)\/(-16). Let b(s) be the second derivative of -s**3\/6 - 2*s. Let k be b(m). Solve k = -5*v + 15 - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1815 divided by -363.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2 + 10 + 23*s as p + h*s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-83)\/(-166))\/(21\/609*2\/(-4)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*q**2 - 1)*(-2*q + 0 + 0) - q + 3*q**3 + q - 2*q**3 - 3*q**3 + 2*q**3)*(25 - 24 + 35*q + 4).\nAnswer: -140*q**4 - 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3774, -2668, -1596, -576, 374, 1236, 1992?\n\"Answer: -3*z**3 + z**2 + 1124*z - 4896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z + 18*z**5 - 10*z + 4*z**2 - 11*z**5 wrt z?\nAnswer: 140*z**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1317229.07 and 1848.\nAnswer: -1315381.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1856655 - 2148620.1. Let m = -291994.099984 - l. Let n = -29 - m. What is n rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4535 + -1100?\nAnswer: -10035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjfxwzjwwz. Give prob of sequence jfjw.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**4 + d**2 + d - 1. Let m(l) = -21*l**4 - l**2 + 25*l + 1. Let w(z) = -3*j(z) - 3*m(z). What is the second derivative of w(o) wrt o?\nAnswer: 720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d - 796 - 246 = -25*d - 48 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/29 (b) -21.635 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 10581 + -10578. Solve -40 = -s*b + 8*d, d + 10 = 2*b - d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 3:42 AM?\nAnswer: 314","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:38 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 73366 = -3*j - 5107, z = 3*j + 22753. Suppose 5*g - 77063 + z = w, w + 54298 = -g. What is w rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*a + 41, -2*a = -10*n + 5*n + 57. Let o = 67 - 72. Sort n, o, 0 in increasing order.\nAnswer: o, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i**3 - 19892 + 19891 - i**2 + 0*i**3)*(5 - 5 - 2) + 0 + 0 - 3*i**3.\nAnswer: -11*i**3 + 2*i**2 + 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 1 + (-46 - (-8 + -30)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*h - 0*h + 6, 0 = 3*h + 3*w. Suppose 9 = -f + 4*f. Find the second derivative of -3*q**f + q**3 + 0*q - 2*q - 3*q**h wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**2 + t + 2. Suppose 15 = 3*y, 0 = 6*m - 2*m - 4*y. Let a(w) = -w - 8*w**2 - 2*w - m - 3*w**2. Suppose -18 = 2*b - 4. What is b*d(k) - 3*a(k)?\nAnswer: -2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112690 and 11742298?\nAnswer: 58711490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90*v**4 - 3*v - 31 wrt v?\nAnswer: -360*v**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2054 divided by 13?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171642*f*m**3 + 86*f*m + m**3 - 59*m - 2 wrt m.\nAnswer: -1029852*f*m + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + h - 10. Let d(n) = 8*n**2 + n - 4*n + h*n. What is d(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Let f = 4 + r. Let v = -11\/34 + -1\/102. Which is the biggest value? (a) f (b) v (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*u - 58*u + 74*u - 110 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 1, s: 1}. Give prob of picking 1 s and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 276 + -9?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -0.1, -26573\/5, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 48142426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/2*24\/5. Let c = h + -88. Let n = c - -43. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/4 + 2*u**3 - 18*u. Factor d(p).\nAnswer: 3*p*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 10 = -11*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 314, 308, 298, 284, 266, 244, 218?\n\"Answer: -2*i**2 + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3\/20, 0, -35\/29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -59, -23, 133, 409, 805, 1321?\n\"Answer: 60*t**2 - 144*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 6025911076?\nAnswer: 6025911076.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*g - 0*g + 19, -5*t = g - 21. Let x be ((-17)\/2)\/(g\/2). Let u = -12 - x. What is the highest common factor of u and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 6*s = -0*j - 19, 0 = j + 2*s + 7. Let v(d) = -9*d**2 - 25*d + 5. Let f(k) = 4*k**2 + 12*k - 2. What is j*f(b) - 2*v(b)?\nAnswer: -2*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 19*y + 110 = -17*y, -3*c + 3*y = -66. Calculate the highest common divisor of 506 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -143*w + 152. Let t(b) = -b**2. Give l(t(f)).\nAnswer: 143*f**2 + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 6. Let i be s(-5). Suppose -25 = -4*c - 5. Let r(m) = 4 - c + m + 4. Let u(b) = 1. Calculate i*r(a) + 2*u(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 4:16 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 - 15*n**4 - 15*n**3 + 35*n**2 + 30*n.\nAnswer: 5*n*(n - 3)*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 94923457?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2447 times -0.2\nAnswer: 489.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -21*c**2 - c. Let r(b) = 42*b**2 + 3*b. Let v be (2\/6)\/((-6)\/(-90)). Let d(g) = v*a(g) + 2*r(g). Find the second derivative of d(m) wrt m.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4650400 to the nearest ten thousand.\nAnswer: 4650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q**4 + 52*q**3 - 3*q**2 - 1117*q - 2305?\nAnswer: -72*q**2 + 312*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from wwawssaatwsww.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1210201020011 (base 3) to base 11\nAnswer: 5a53a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 4 + 2 - s**2)*(-3*s + 0 + 0) to l + i*s + f*s**3 + j*s**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -368625 divided by 122875\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 449700979*c**4 + 434008821 with respect to c.\nAnswer: 1798803916*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(4\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - -59)\/(-5) + 808199\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/2077 + 106015\/45694. Calculate the common denominator of q and -61\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000129996 rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-90))\/(6*4\/60).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -35, -75, -131, -203, -291, -395?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - 2) + -1 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106093 rounded to 3 dps?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13818732.\nAnswer: 2, 3, 29, 39709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(272) + 0)*4)**2.\nAnswer: 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 608613262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(3)) - (sqrt(108)*4)**2.\nAnswer: -1726 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quu when three letters picked without replacement from uqquqqqquu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-1 - 17\/(-68) - 2\/8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {h: 1, z: 1, p: 2, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95644378 is divided by 6831740?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26258 smaller than 26259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 40*j**2 + 85*j + 50.\nAnswer: 5*(j + 1)*(j + 2)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22002 (base 3) to base 2\nAnswer: 11011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from lteeeeetnle?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1235*b*n**3 + 694*n**3 - n**2 wrt b?\nAnswer: -1235*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 3*a**2 + a**3 + (-22*a + 7*a - 2*a)*(-4*a**2 + a**2 + 2*a**2) - 6*a**3 + a**3 + 3*a**3.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 57 * 33322\nAnswer: 1899354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 21. Let i(z) = z + 6. List the prime factors of i(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/60 + a**4\/24 + 2*a**3\/3 + 116*a**2. Give f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - y - 9 = 0, 0 = -2*b + 4*b - 4*y - 12. Let h(i) be the second derivative of i + 4*i**2 + 1\/6*i**3 + 0. Calculate h(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-5))\/(3\/555). Let v = 112 + u. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 118*g**2 + 3*g - 9. Let y(x) = -2*x**3 + 243*x**2 + 5*x - 16. What is 5*j(t) - 3*y(t)?\nAnswer: 6*t**3 - 139*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 647715 and 290?\nAnswer: 1295430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118936035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhze when four letters picked without replacement from {e: 4, h: 2, z: 8, k: 3}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:52 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 41, 57, 71, 83?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 7) + (3 - -2) - (1 - -7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2347039 (base 11) to base 14\nAnswer: 7880aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 9*m - 5, -2*d = -m - 261. Differentiate -906*p + 15 + d - 156*p**4 + 906*p wrt p.\nAnswer: -624*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -102*c**2 + 10*c + 11. Let r(k) = -99*k**2 + 8*k + 10. Calculate -4*r(f) + 3*w(f).\nAnswer: 90*f**2 - 2*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen tenths of a century?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*b*d**3*h + 70*b*d**3 + 3*b*d**2*h - 2*b*d*h + 2*b*h + 13*d**3*h + 334*d**3 + 2*d*h + 9638*d + 8 wrt d?\nAnswer: -156*b*h + 420*b + 78*h + 2004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376 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: What is 102113 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: What is the closest to -91 in 1591, 2\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 6*b - 43. What is the remainder when s(14) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 6*o**2 - 3*o**2 - 26 + 32. Let t be g(9). Let y = 22 + t. Solve -3*j + 3*k = -2*k + 26, y = -4*j + 5*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {p: 1, i: 1, h: 1, y: 6, l: 2, z: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 j, and 1 g when four letters picked without replacement from {j: 2, o: 1, g: 1, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 v, and 1 b when four letters picked without replacement from vzzvbpzpzv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -102 (b) 2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -103. Suppose -5*j + 2*z = -i, j + 3*z - 9 - 12 = 0. Calculate the smallest common multiple of 45 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 9*a + 2. Let d = 120 - 117. Let c be z(d). Is 18 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 31*q + 119. Determine h(27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = 3*d + 243, -5*o + 4*d + 14587 = 0. Is 86 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11230\/21 or 534?\nAnswer: 11230\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 335 + -325. Solve -33 = -r*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3724166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24567 is divided by 259.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-11 - (-11 - -1)) + 17 + -1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*o**3 + 140*o + 80*o - 16*o - 10*o**2 + 1.\nAnswer: 33*o**3 - 10*o**2 + 204*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.27 and 3169872.\nAnswer: 3169872.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, b: 7, c: 6, h: 1}. Give prob of picking 1 f, 1 b, and 1 c.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1765, -3542, -5307, -7054, -8777?\n\"Answer: i**3 - 1784*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6502 (base 10) in base 8?\nAnswer: -14546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2067\/1590)\/(2\/20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -51. Suppose 2*j - 62*m - 56 = -58*m, -2 = m. Calculate the least common multiple of u and j.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) - (-243)\/45. Which is the biggest value? (a) g (b) -7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28544 and 6016.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 8. Let v be f + ((-22)\/(-7))\/1. Are v and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*k + 249*k + 109*k + 2653 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 31*i + 230. Let l be v(-23). Put -4, -5, l in ascending order.\nAnswer: l, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-2\/17)*u)\/u)\/u)\/u**0)**47\/((u\/u**(3\/2))\/u**4*(u\/((u**(-1)*u)\/u))**(-1\/9)) assuming u is positive.\nAnswer: u**(-247\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/1 + 1\/(-1). Does 24 divide p + 0 + 4 + 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760 and 19190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*16\/(-132) - 8897\/(-24255))*(1 + -3)?\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-56)\/12)*1*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66202398.\nAnswer: 2, 3, 37, 107, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 4 + 4 + (0*j + 0*j - 2*j**2)*(-9*j - 277*j - 98*j).\nAnswer: 769*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 860\/133 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d*d\/(d*d**(-3\/5)))\/d)\/d)*(d\/(d**4\/d))\/d*(d**(-2\/3))**18)**9 assuming d is positive.\nAnswer: d**(-612\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2271472 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*t = -50, -2*t + 3*t + 92 = -5*k. Let f be ((-18)\/(-4))\/((-27)\/k). List the prime factors of (547 - 33)\/(f + -1*1).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 158117, 158089, 158013, 157865, 157621, 157257?\n\"Answer: -4*n**3 + 158121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(98)*-2 + 1)**2.\nAnswer: -56*sqrt(2) + 786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 25*c - 34)*(21*c - 9*c + 13*c) + 4*c**2 - c**2 - 5*c**2.\nAnswer: -627*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01502 from -4.\nAnswer: -3.98498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21486339?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 31288*o + 1032528. Determine x(-33).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36930 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3567480 to the nearest integer?\nAnswer: 1889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 13*y - 11*y + 163 = 0, -5*r = -5*y - 790. What is the highest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + k**3 + 0*k**3)*(0*k**2 + 2*k**2 + 2*k - 3*k**2).\nAnswer: 3*k**5 - 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*x + 8680, -4*m - 4*x = -35851 + 1035. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1aa - -5323?\nAnswer: 5135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -2*(-1 - (-3)\/6) - -1 and 2 + -5 + (-2 - -18)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {l: 2, z: 1, c: 4, x: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398 - 670 = -68*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -56, 4, -2\/5, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + -40. Suppose 2*n - 307 = k - 84, 520 = 5*n + 5*k. Suppose -38 = -7*g + n. What is the greatest common divisor of l and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = 4180. Let y = 6233\/6 - l. Let h = -197\/30 - y. Which is the smallest value? (a) 0.2 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 207 (b) -4\/13 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154165580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-28)*(-3)\/(-2). Let m = 1\/14 + z. Sort 0, m, 0.2 in descending order.\nAnswer: m, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.21182 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 10 = 0, -598*f - m - 17 = -601*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 84 and -0.2967.\nAnswer: 83.7033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7*g - 2*k + 114 = 0, -4*g = -k - 253. List the prime factors of g.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 42. Let c be j*-1*(-1)\/4. Solve 4 = x - c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g**3 - g**3 - 3*g**3)*(1 + 4 + 0)*(-6 - 75 + 10 - 39).\nAnswer: -3300*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 a factor of 75754224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14248 + 4*w**2 - 5*w**4 - 14249 + 0*w + w as x + o*w**2 + y*w**3 + i*w**4 + n*w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r**3 + 12530*r**2 + 46012*r + 25104 = 0.\nAnswer: -3, -2\/3, 2092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + 8)*(-20)\/6. Let a(c) = c**2 + 8*c + 8. What is the units digit of a(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3308 and 210058.\nAnswer: 420116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 36*j + 39*j - 14 = 0, -5*j = -2*i + 6 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22788 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 8.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiizzzmiiiie. What is prob of sequence zo?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -29*d + 15. Suppose -2*b + 10 = -3*l, -4*b = b + 5*l + 25. What is the remainder when t(b) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*b + 3 - 248*b - 3 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**3 + 3*q - 3*q)*(-5 + 0 + 4)*(2 - 2 + 1).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -312, -537, -750, -951, -1140, -1317?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 13. Suppose -4*q + i + 37 = 0, -4*i = 2*q - 23 - n. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from ebbb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (-12 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)\/a**(1\/5))**(-13\/3))**(1\/14) assuming a is positive.\nAnswer: a**(104\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(28) + -3 + sqrt(7)*2 - (0 + sqrt(252) + 1 - sqrt(252)).\nAnswer: -2*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4975 + 13309 = 0. Suppose 4*s = 3*g - 1670, 0 = -5*g + 3*s + s + r. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 85 + (-2 - -2 - -2). Suppose 4*h - 32 = -4*q + 44, -3*q + y = -3*h. Solve 0 = 2*t - 3*s - s - 8, 2*t = -4*s - q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16107 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 z(n) = -n**2 + 26*n - 155. Determine z(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/10)\/t**(-2\/11) assuming t is positive.\nAnswer: t**(9\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven fifths of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8492.954m?\nAnswer: 849295.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122133211 (base 4) in base 5?\nAnswer: -43330121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 6. Let w be v(8). Let t be w\/6 + (-51)\/(-9). Let y(l) = 7*l - 4. Is y(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 + -d?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -10, 26.\nAnswer: -10, -0.2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from 214817.\nAnswer: 214826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448*a**2 + 528*a**2 - 135*a**2.\nAnswer: -55*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -12*w - 3*w**2 + 0*w**3 + 0 + 0*w**4 + 11\/20*w**5. Differentiate z(i) wrt i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -1067*y**9\/252 + y**5\/15 - 193*y**3\/6 - 1588*y**2. Find the third derivative of g(k) wrt k.\nAnswer: -256080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30702*j**2 + 359*j - 15101357 wrt j?\nAnswer: -61404*j + 359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, and 1 g when three letters picked without replacement from {s: 1, a: 5, g: 3, r: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 1101554.1?\nAnswer: 6609324.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/13*(1\/((-6)\/(-3)))\/((-46)\/(-22724))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7667 is divided by 94.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17250*f**3 - 21530*f**2 wrt f?\nAnswer: -103500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1971*-260.\nAnswer: 51.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8561 is divided by 949?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:38 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -4*n - 364. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/19 and 107\/103018?\nAnswer: 103018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203 or -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/4 + 2*x**3 - 15*x**2\/2 + 38*x - 78. Let z(l) be the first derivative of b(l). Factor z(g).\nAnswer: 3*(g - 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20224\/(-896))\/(18\/(-63)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/81 - -23\/324. Let c = -2 - -2. Let i be 1 - (1 - -1) - c. Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, z: 8, s: 1}. Give prob of picking 1 s and 1 p.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -877169*j**4 - 4*j**3 + 246*j**2 + 2*j - 53098 wrt j?\nAnswer: -21052056*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*-11*36\/1485.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a kilometer in meters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*o - 2032458 = -30*o. List the prime factors of o.\nAnswer: 2, 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -133 + 50 + 41 + d + 47. What is k(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9028 is divided by 1504.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*b**3 - 82*b**3 + 168*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {n: 1, b: 2, w: 3, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 <= 0.252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -110*u - 23. Let b = -17 - -14. Is g(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = x - 4*y, -4*y = 5*x - 16. Let n = x - 2. Suppose -3*m + 51 = -15. What is the highest common divisor of n and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2 - 5*f*s + 468*f - 31259*s wrt f.\nAnswer: -2*f - 5*s + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 60 - 121 - 85*s.\nAnswer: -85*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -46. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14590604 divided by -1187?\nAnswer: -12292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 1812, 4079, 7260, 11361, 16388, 22347?\nAnswer: 29244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37176 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s)\/(s\/s**1))\/((s*((s\/s**(-2\/11)*s)\/s)\/s)\/(s\/(((s*s**(-4\/5)\/s)\/s)\/s*s*s)*s)) assuming s is positive.\nAnswer: s**(89\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.029, -0.121, -3\/11 in ascending order.\nAnswer: -3\/11, -0.121, 0.029, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/30 - u**4\/24 - u**3 - 223*u**2. Determine j(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-82)\/1722)*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*p + 122, -54 = -6*w + 4*w - 4*p. Let o be (3\/27)\/(3\/(-9))*-27. Let u = o + w. What is the highest common divisor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-48)\/9 - (23 - 2880\/108).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3028676.1 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 921*t**2\/5 + 741411*t\/5 + 966.\nAnswer: 3*(t + 805)*(307*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 6*r - 4*r)*(101*r**2 - 30*r**2 + 6*r**2).\nAnswer: 154*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = b - 1. Let m be (b - 21)*((-11)\/6 + 2). Put m, -4, -0.1, 2 in increasing order.\nAnswer: -4, -0.1, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, -2, 3, -4 in descending order.\nAnswer: 248, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*c - 18. Let s be (3\/(-6))\/(c\/(-18)). Solve 2*r - 4*b = -0*b - 18, -4*r - 3*b = s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.015823 and -6620877.\nAnswer: -6620876.984177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145.05 + -155. What is x rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*l = -18*l - 1212 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -168 + dedd?\nAnswer: dd75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3399, -6921, -10565, -14325, -18195, -22169?\n\"Answer: a**3 - 67*a**2 - 3328*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, -18, -5 in ascending order.\nAnswer: -18, -5, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2 + 1*(sqrt(931) - (sqrt(931) + 3)))**2 + ((0 + sqrt(931) + sqrt(931))*2 - -3*-2*sqrt(931)) + 4).\nAnswer: -70*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302695743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {t: 6, r: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a. Let d(p) = 36*p - 2525. Determine d(w(r)).\nAnswer: 504*r - 2525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 353 and 7315043.\nAnswer: 7315396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -3. Let x = 4 - c. Suppose 5*n - 4*w - 65 = x, n - 13 = -0*n + 3*w. Calculate the highest common divisor of n and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2155 + 2150. Which is the nearest to 1? (a) 144 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-28)\/12))\/((-21)\/49)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3997133 is divided by 572?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28993, 57994, 87001, 116014, 145033, 174058, 203089?\n\"Answer: 3*o**2 + 28992*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (106\/4)\/(-2 + 72\/32) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 283041 and 205848?\nAnswer: 2264328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-5)))\/((((g\/(g*g\/(g**(-1\/5)\/g)))\/g)\/g)\/g))**(2\/117))**11 assuming g is positive.\nAnswer: g**(22\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baaqqaaqzzqaqaz. Give prob of picking 1 z and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54462?\nAnswer: 2, 3, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.9. Let x = 2.6 + -5.6. What is the smallest value in o, x, 2\/35?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 1. Let q(s) = 48*s + 40. Let x(u) = -40*c(u) - q(u). Let k(i) = -2*i**2. Calculate x(k(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1630253.29 and -26?\nAnswer: 1630279.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -40953972.\nAnswer: -163815888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-1 - -5 - 5). Let k be r\/35 + 52\/10. Suppose -1 = -k*q + 3*z - 4*z, q + 2*z + 7 = 0. Calculate the smallest common multiple of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4*4\/(-120) + 14721\/45 is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/75 - 32\/75. Let w = -7 + 7.1. What is the biggest value in -3, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 86 - 14 = 0. Let k = 16 + u. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 343 and 1151696.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10023754, 40095016, 90213784, 160380058, 250593838, 360855124, 491163916?\n\"Answer: 10023753*f**2 + 3*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i - 16. Let t be g(-7). Let m(w) = 2*w - 1. Let x be m(3). Find the second derivative of t*j**2 + 53 - 53 + x*j wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.9 and -0.3?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -34*i - 175. What is the remainder when n(-13) is divided by 116?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezda when four letters picked without replacement from ppeeeepdddaezdedeae.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.047 + 3.047. Let z = 103 + -161. Let a = z - -57. What is the second biggest value in c, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**8\/42 + 26*s**7\/35 + 21*s**6\/10 + s**5\/15 - 7*s**4\/2 + 603*s**2. Suppose r(v) = 0. Calculate v.\nAnswer: -1, 0, 1\/2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155 - 91. Let x = -4 + z. Calculate the highest common factor of 150 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/(-18))\/(6\/8) - -5. Solve -q = -l - 2, 0 = -t*l - 3*q - 4 - 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 8*z**5\/15 - z**4\/24 - z**3\/6 + 5*z**2. Calculate the remainder when r(-1) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -130*g**2 + 5*g**2 + 35*g**2 + 39*g**2 + 3*g**3 - 192 + 240*g = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 2*z + 1. Let x be t(2). Let u be 14997\/(-14) - x\/26. Let f = -1065 - u. Find the common denominator of f and 5\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1452 divide 17142312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Solve -3*o + j = -0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 5*j**3\/3 - 95*j**2\/2 + 170*j - 141. Factor b(c).\nAnswer: 5*(c - 17)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321699687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3138342144 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -47780*c**3 - 3*c**2 + 102*c + 205. Is g(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3 + 1 + 6*i - 2*i + 3. Determine h(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(12 - 741\/76)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*i - 3*i**3 + 4 + 2*i**3 + 18 + 3*i**3.\nAnswer: 2*i**3 + 37*i + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4875 - -9836. Suppose 0 = -23*l - k - 11346. Round l to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 11*h**2 + 47*h + 13. Determine s(9).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-3)\/(-2))\/((-2)\/66*-11)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26258\/165 + -2378\/15. Calculate the common denominator of o and 0 + -2 - (-6)\/(-27).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.2, 3\/8, -14.4, -8629?\nAnswer: -8629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvt when four letters picked without replacement from vspsvvsstvsssvd.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -1739 - 6159. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -35*x**2 - 939*x + 205. Suppose 0*f + f = 43. Calculate the remainder when h(-27) is divided by (-2)\/(-4) + f\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 19*g**2 - 52*g + 691. Calculate j(16).\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11141, 167, 1, 3 in decreasing order.\nAnswer: 11141, 167, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021129.19 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + -0.07. Let m = 3 + g. What is the second smallest value in -1, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 - a - 5. Let w be j(-5). Let x be 10\/(-2)*(1 + w). Let r(o) = -4*o - 8*o**2 + 1 + 9*o**2 - 2*o**2. Calculate r(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 2 + 58 - -1. Let v be ((-19)\/3)\/(9\/(-27)). What is the highest common factor of l and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1235*x - 59. Is k(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 115, 940, 3173, 7516, 14671, 25340?\n\"Answer: 117*c**3 + 2*c**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -484845 by -15.\nAnswer: 32323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -160 - 23. Let q = r + 120. What is the remainder when q is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 4. What is the remainder when 177 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 = -j, -4*x + 35 = -5*j. Let t = 8 - x. Suppose -2*v = -2, -v = -t*l + 29 - 6. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 + 9444*x**3 + 1023777*x**2 + 2986254*x = 0.\nAnswer: -102, -3, 0, 3253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 131 = -2*b + 22, -2*b + 159 = 3*r. Suppose 0 = -5*c + c + 2*v + 58, -5*c - 3*v = -b. What is the remainder when c is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 7170*a**2 + 35874*a + 3. What is n(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -780*u - 2. Let v(h) = -73311*h - 189. Calculate 189*q(y) - 2*v(y).\nAnswer: -798*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27 * -4.3\nAnswer: -116.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 288*a - 288*a + 2*a**2. Let c(w) = -4 + 4 + 6*w. Calculate c(g(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*v - 110, 3*i = i + 4*v + 44. Suppose -5*c + i = 5*j, -5*j + 3*c - 13 = -7*j. Solve 0 = -4*f - 5*s - j, -2*s = -4*f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, -17, -90, -235, -476, -837, -1342, -2015?\n\"Answer: -4*z**3 + 3*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 6 + h + 2 + (-h + 0*h + 2*h)*(1 + 1 - 4) + (-589 - 635 + 1048)*(-h - 4 + 4).\nAnswer: 175*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4167802 by -38.\nAnswer: 109679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002240085 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23716 and 1232.\nAnswer: 94864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044.294 kilograms in grams?\nAnswer: 2044294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 15 + 48 = -4*x + 19, 3*n + 2*n + 2*x + 19 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 5)*8*(1 - 0). Solve -3 = -4*l + g + q, 3*l + g - 17 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.9 - 0.64. Let k = i - -0.74. Let g(j) = 2*j + 27. Let w be g(-8). Which is the second smallest value? (a) -0.4 (b) -1 (c) w (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 - -164221818\nAnswer: 164221886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 74*p**2 - 250*p + 76. What is the thousands digit of w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o. Let s = 48 - 53. What is h(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a week in seconds?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = 2*k - 12, -4*k = 16. Let q be ((-1)\/(-5))\/(4\/c - -1). Is 6\/13 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 25, 5 in decreasing order.\nAnswer: 25, 6, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2. Let i(u) = u. Let a(c) = c**2 + 3*c**2 + 6*c + 0*c**2. Let b be 4 - (-7 - -9)*6\/4. Let f(v) = b*a(v) - 6*i(v). Give -3*f(d) - 14*o(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4880932, 9761880, 14642830, 19523782, 24404736, 29285692, 34166650?\nAnswer: 39047610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9291046 to two dps.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 18*v = -100. Let s(n) = -n**2 - 6*n + 1. Give s(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g. Let f be (-1 + 2 + g)*(-16905)\/(-69). Let q = 432 - f. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*n + 0*n = -2, 0 = 5*k + n - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -554 and -12.\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -945979 + -5?\nAnswer: -945982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:08 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.67183 - -0.24757. What is g rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 - 3866.379?\nAnswer: -3610.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 80239.4595534 plus -23?\nAnswer: 80216.4595534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33613343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22205 divided by 5\nAnswer: 4441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -205120788 divided by 2\nAnswer: -102560394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -395 + 398. Suppose 0 = -y*v + 151 - 37. Calculate the remainder when 111 is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43.5551 micrometers?\nAnswer: 0.0435551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7394 and 846990094?\nAnswer: 7394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/3))**(-46\/5)\/(u**(-1\/3))**23)**19)**(-3\/16) assuming u is positive.\nAnswer: u**(-3059\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 2*t**3 - 4*t**3)*(-1 + 2 - 3) - 77540*t - 41 + 77540*t + 9*t**3.\nAnswer: 11*t**3 - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 2. Suppose 3*x - 12 = -3. Suppose 0 = -0*t - t + x. Put t, -1, g in descending order.\nAnswer: t, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-11\/6)\/f)**(1\/15))**(5\/7))**42 assuming f is positive.\nAnswer: f**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/13 (b) 2\/21 (c) 3\/2 (d) -361\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 2100210?\nAnswer: -2100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*n**3 - 2 - 9*n**4 - 2*n**2 + 26*n**3 - 43*n**3 in the form i*n + k*n**3 + y*n**2 + m + b*n**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c + 165 = 0. Suppose 16*q = -5*x + 20*q + 1160, -4*q = 20. Let b = c + x. What are the prime factors of b?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = t - 11, -3*n + 5*n + 5*t - 9 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101011?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**3*t**3 + n**3 - n**2*t - n**2 + 2308*n*t**2 + 2*n*t - 60*n + 1463*t**3 + 19787*t wrt t?\nAnswer: -18*n**3*t + 4616*n + 8778*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1978 and 36\/6923.\nAnswer: 13846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423761321, -423761319, -423761317, -423761315, -423761313, -423761311?\nAnswer: -423761309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:51 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496 and 29808.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 5. Let x be z(5). Let t(p) = 2 + x*p - 3*p + p. Suppose 5*a + 10 = 5*o, 2*a = -a + 3. Calculate t(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.22 + 1.92. Which is the closest to -0.2? (a) -1 (b) w (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008333787 to six dps.\nAnswer: -0.000833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*m - 4320, -4*o + 4645 - 1193 = -3*m. What are the prime factors of o?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 24 = -223*p + 219*p, 0 = -2*p - 5*r + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/2 and 91\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 18 = -15*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 - 128*u - 6335. Calculate c(-27).\nAnswer: 1495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - -3.94. Let b = 0.091 - -40.809. Let q = b + -41. What is the nearest to j in q, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4999086 * -0.1\nAnswer: 499908.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -24*v. Let m(q) = 2*q**2. Calculate a(m(y)).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/(-77))\/((-16)\/22))\/(30\/(-4))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17348, -18036, -19184, -20792?\nAnswer: -22860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) + 21\/(-12). Let y be 170\/45 - u\/9. Suppose y*c = -0*c + 160. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-8)*(-10)\/(-5). Is x > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*w - 143. Suppose -2*g - 5*o = -0*o - w, -4*g + 19 = -o. Calculate the lowest common multiple of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 53442337.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**3\/3 - 2*p - 2. Let j be f(2). Suppose -j*l = -l - 8. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 31.\nAnswer: 30\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5589667, -11179347, -16769041, -22358749, -27948471, -33538207, -39127957?\nAnswer: -44717721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let x(m) = -2*m - 1. What is 3*i(p) + 2*x(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 3:32 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 + 4*s**3 - 6*s**3 + ((-6*s + 2*s + 2*s)*(3 - 1 - 1) - 3*s + 0*s + 7*s)*(-6*s**2 + 0*s**2 + s**2) + (6*s - 3 + 3)*(-2*s**2 - 18 + 18).\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(2\/7)\/w)*w)**(-43))**35 assuming w is positive.\nAnswer: w**(-4085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 3 - 3 + (j + j + 0*j)*(-3 + 4 + 2) + 1 - 1 - 5*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149863*c**5*m**3 + 30*c**4 - 64570*c**2*m**3 + 1426*c**2*m**2 wrt c.\nAnswer: 8991780*c**2*m**3 + 720*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1 in ascending order.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 3. Calculate the smallest common multiple of c and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2459800469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 2, l: 1, g: 1}. What is prob of picking 1 l and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182 by 91.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-133)\/(45220\/(-255)))\/(((-5)\/(-28))\/1).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 282.3 (b) 2 (c) -5 (d) -0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 44*v**2 + 0*v**2 + 5 - 4*v**2 + 4*v. Is j(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8227*w**2*y**3 - 63*w**2*y**2 - 472367*w**2 wrt y?\nAnswer: -24681*w**2*y**2 - 126*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 10:48 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -47*n**3 + 4*n**2 + 24*n + 16. Let l(v) = -140*v**3 + 11*v**2 + 66*v + 47. What is -4*l(d) + 11*w(d)?\nAnswer: 43*d**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(25)\/sqrt(5)) + sqrt(4)\/sqrt(2) + -2)**2.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 40 = -3*m, 0 = m + 5*t - 0*t - 20. Suppose -2*h - m = 3*h. Sort 2, h, -12 in increasing order.\nAnswer: -12, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50\/150 - 299\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2248*g**2 - 26*g - 5529*g**2 + 43*g - 15*g.\nAnswer: -7777*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 790*u**3 - 38138 - 38129 + 76267.\nAnswer: 790*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 31*d - 11. Calculate v(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8625209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*u - 426 + 1566 = -714 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 426*r**2 + 1. Let b be g(-1). Let n = b + -423. Solve 0 = -n*x, 5*w = x - 14 - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 499 + -96. Let s be (-4)\/5*325\/10. Let c = s + z. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = -0*q + k, -22 = q - 5*k. Suppose 28 = q*m + 4*a, 5 - 3 = -a. Suppose 3*f - m = 0, -5*s + 167 = 2*f - 171. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 279076*c - 279072.\nAnswer: -4*(c + 1)*(c + 69768)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -174\/17, 2, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -206*r**2 - 111. Let h(a) = -2*a**2. What is g(h(b))?\nAnswer: 824*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 18}. What is prob of sequence uu?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11036310 is divided by 6361.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 1564*t + 19010. Calculate l(-12).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -109, 2?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/(2671\/(-186970))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-15 - (-35 + 14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -117917660*l**2. Let w(k) = k. Determine w(o(j)).\nAnswer: -117917660*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -247*z**4\/3 - 2321*z**2. Let k(v) = 4*v**2. Give k(s(j)).\nAnswer: 15618304*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6986*a**4 + 12*a**3 - 625102 wrt a.\nAnswer: -27944*a**3 + 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-1\/4)))\/x)\/x**6)**(-25) assuming x is positive.\nAnswer: x**(725\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 5) to base 9\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 + 5*a + 4. Let q(v) = -15*v**2 - 19*v - 15. Let f(g) = -22*j(g) - 6*q(g). Let f(i) = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {s: 9, l: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**4\/i**(3\/4))\/(i**7\/i**(1\/2)))**(-2\/11))**(17\/2) assuming i is positive.\nAnswer: i**(221\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 242.1 - 242.10004104. What is o rounded to six decimal places?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2366858*j**3*o**2 - 2*j**3 + j**2*o - 93090*j*o**2 - 5*o**2 - 1 wrt j?\nAnswer: 14201148*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -0.1, -2\/9 in decreasing order.\nAnswer: 57, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -44) + (-2473 + 2471 - (1 + 2 + 4))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) -1.1 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (8 + -4)) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 a factor of 6076170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 4 + -3 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}